Mia earned a total of 6x + 4 from the two children. Both Paolo and Carla wrote equivalent expressions to calculate the amount Mia earned.
Paolo added 3(x + 2) to itself and subtracted 8 to calculate the total amount of money Mia earned from both children. Since she cared for two children for three hours each, she earned 3(x + 2) for each child for a total of 6(x + 2). He then subtracted the 8 dollars that Mia spent on materials for the activities.
Mia earned a total of 6x + 4 from the two children. Both Paolo and Carla wrote equivalent expressions to calculate the amount Mia earned. By simplifying the expressions, it was determined that they were indeed equivalent.
Learn more about expression here
https://brainly.com/question/14083225
#SPJ4
the titanic sunk more than 100 years ago. below is a summary of the class and fate of each passenger. show the use of an appropriate conditional probability formula to calculate the following: class survived died total first 201 123 324 second 118 166 284 third 181 528 709 total 500 817 1317 (a) if the passenger died, what is the probability they were in third class? (b) find the probability that a passenger survived given that they were in first class.
(a) The probability that a passenger who died was in the third class is 528 / 817.
we can find the probability by using the formula:
P(Third Class | Died) = P(Third Class and Died) / P(Died)
Where,
P(Third Class and Died) = the joint probability of a passenger being in third class and dying
P(Died) = the probability of a passenger dying regardless of class.
We can find P(Third Class and Died) by adding the no. of passengers in third class who died (528) and then dividing by the total no. of passengers (1317)
P(Third Class and Died) = 528 / 1317
Now we can find P(Died) by adding the no. of passengers who died (817) and dividing by the total no. of passengers (1317)
P(Died) = 817 / 1317
By using the values we got, we can find P(Third Class | Died):
P(Third Class | Died) = P(Third Class and Died) / P(Died) = 528 / 817
So, the probability that a passenger who died was in the third class is 528 / 817.
(b) The probability that a passenger survived given they were in first class is 201 / 324
we can find the probability by using the formula:
P(Survived | First Class) = P(Survived and First Class) / P(First Class)
Where,
P(Survived and First Class) = joint probability of a passenger surviving and being in first class.
P(First Class) = probability of a passenger being in first class regardless of survival.
We can find P(Survived and First Class) by adding the no. of passengers in first class who survived (201) and dividing by the total no. of passengers (1317)
P(Survived and First Class) = 201 / 1317
Now we can find P(First Class) by adding the no. of passengers in first class (324) and dividing by the total no.of passengers (1317):
P(First Class) = 324 / 1317
By using the values we got, we can find P(Survived | First Class):
P(Survived | First Class) = P(Survived and First Class) / P(First Class) = 201 / 324
So, the probability that a passenger survived given they were in first class is 201 / 324.
To learn more about probability:
https://brainly.com/question/13604758
#SPJ4
Solve the following pair of equations for the vectors u and v. Assume i = (1,0) and j = (0;1).
the solution to the pair of equations is u = (1,1) and v = (1,0).
u + 3v = (2,1)
3u + v = (3,2)
u = (1,1) and v = (1,0)
The first equation can be written as:
u + 3v = (2,1)
We can rewrite this equation as:
u + 3(1,0) = (2,1)
By substituting the values of i and j, we can solve for u:
u + (3,0) = (2,1)
u = (2-3,1) = (-1,1)
Now, we can substitute the value of u in the second equation:
(1,1) + v = (3,2)
By subtracting (11) on both sides, we can solve for v:
v = (3-1,2-1) = (2,1)
Therefore, the solution to the pair of equations is u = (1,1) and v = (1,0).
learn more about solution here
https://brainly.com/question/30109489
#SPJ4
Cada una de las gaseosas se va a repartir en seis vasos
Gaseosa grande 3 335,9cm3 y la gaseosa pequeña 1 550,
De la gaseosa grande quedaran _________ cm3
De la gaseosa pequeña quedaran _________ cm3
De la botella _______ quedarán mas liquido.
Answer:4
Step-by-step explanation:
4
Answer:
4
Step-by-step explanation:
A bakery use 1/3 of a bag of chocolate chips to make three batches of cookies how much of the bags they use for each batch
PLS HELP I ONLY HAVE 10 POINTS SORRY
Nelda baked two kinds of pasta in pans. Each pan was the same size. She sliced one pan of pasta into 4 equal pieces. She sliced the other pan into 10 equal pieces. How can the pans of pasta now be sliced so that both pans have the same-sized pieces? If Nelda has served 5 pieces from 1 pan so far, what fraction of 1 pan has she served?
The pans must be sliced in the following way:
Slice the first pan in 10 slices.Slice the second pan in 4 slices.B) 5 pieces are equivalent to the fraction 1/8 of the pan.
How can the pans of pasta now be sliced so that both pans have the same-sized pieces?The number of pieces in each pan will be equal to the product between the numbers of slices (assuming that the sets of slices are perpendicular)
So, if she wants to have pieces of the same size, she needs to:
Slice the first pan in 10 slices.
Slice the second pan in 4 slices.
Now both of these will have:
10*4 = 40 pieces.
B) There are 40 pieces in each pan, so if she served 5, the fraction is:
5/40 = 1/8
Learn more about fractions at:
https://brainly.com/question/11562149
#SPJ1
what is the largest possile sample you can take and still be able to calculate the standard deviation of the sampling distribution of p^
The largest possible sample space for a standard deviation is infinity as the number of observations can be infinity.
What is Standard Deviation ?The standard deviation is a measurement of how much a group of values vary or are dispersed. While a high standard deviation suggests that the values are dispersed throughout a larger range, a low standard deviation suggests that the values tend to be near to the established mean.
There are several mean types in mathematics, particularly in statistics. Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.
The standard deviation is significant because it reveals the degree of dispersion of the values in a particular dataset. Every time we examine a dataset, we look for the following metrics: the dataset's geographic center. The mean and median are the two metrics most frequently used to gauge the "center."
The largest possible sample space for a standard deviation is infinity as the number of observations can be infinity.
To learn more about Standard Deviation refer to :
https://brainly.com/question/22537826
#SPJ4
How do you find the image under a linear transformation?
To calculate the kernel, locate the vector subspace in which the homogeneous implicit equations result from the linear transformation formula's component parts being equal to zero.
What is linear transformation?A function from one vector space to another that respects the underlying (linear) structure of each vector space is called a linear transformation.
A linear operator, or map, is another name for a linear transformation.
The zero transformation and identity transformation are two significant illustrations of linear transformations.
An illustration of a linear transformation is the zero transformation, which is denoted by T(x)=(0) for every x.
Also linear is the identity transformation denoted by T(x)=(x).
Find the vector subspace in which the implicit equations are the homogeneous equations produced when the components of the linear transformation formula are equal to zero in order to compute the kernel.
This is the same as finding the null space of the linear transformation matrix.
Therefore, to calculate the kernel, locate the vector subspace in which the homogeneous implicit equations result from the linear transformation formula's component parts being equal to zero.
Know more about linear transformation here:
https://brainly.com/question/20366660
#SPJ4
A simple random sample of size n=59 is obtained from a population that is skewed left with u = 62 and a = 7. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of x? O A. No. The central limit theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of x become approximately normal as the sample size, n, increases. B. No. The central limit theorem states that regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases. C. Yes. The central limit theorem states that the sampling variability of nonnormal populations will increase as the sample size increases.
D. Yes. The central limit theorem states that only for underlying populations that are normal is the shape of the sampling distribution of x normal, regardless of the sample size, n.
In this case, the x sampling distribution will be normal, with a mean equal to the population mean (u) and a standard deviation equal to the population standard deviation (a) divided by the sample size squared (n).
What is standard deviation?The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
Here,
The central limit theorem asserts that, regardless of the form of the underlying population, as the sample size, n, grows, the sampling distribution of x becomes essentially normal, provided n is big enough (usually n >= 30). This is because, regardless of the form of the underlying population, the sum of independent random variables from the same population will tend to become regularly distributed. In this situation, the sampling distribution of x will resemble a normal distribution, with a mean equal to the population mean (u) and a standard deviation equal to the population standard deviation (a) divided by the sample size squared (n).
To know more about standard deviation,
https://brainly.com/question/23907081
#SPJ4
find the area of the region that is bounded above by the curve f(x)=(x 8)2 and the line g(x)=−x−2 and bounded below by the x-axis.
The area of the region bounded by f(x)=(x-8)^2, g(x)=-x-2 and the x-axis is the definite integral of f(x)-g(x) from -2 to 8.
The area of the region bounded by f(x)=(x-8)^2, g(x)=-x-2 and the x-axis is given by the definite integral of f(x)-g(x) from -2 to 8. First, expand f(x) and g(x) to get f(x)=x^2-16x+64 and g(x)=-x-2. Then, subtract g(x) from f(x) to get f(x)-g(x)=x^2-16x+66. This is the equation of the area of the region. To calculate the area, use the definite integral of f(x)-g(x) from -2 to 8. This is equivalent to the integral from -2 to 8 of x^2-16x+66 dx. After integrating, the area is given by the expression (x^3/3)-8x^2+66x from -2 to 8, which is equal to 1176/3 units^2. Therefore, the area of the region bounded by f(x), g(x) and the x-axis is 1176/3 units^2.
Learn more about area here
https://brainly.com/question/13194650
#SPJ4
Can anyone solve 21x>5y+49x>2y>2-28x>2y?
Answer:
Step-by-step explanation:
i cant but someone can habha
What is the measure of the exterior angle at D when AD¯¯¯¯¯¯is extended?
Answer:
117
Step-by-step explanation:
B=D=63
=>the exterior angle at D = 180-63
let u and a . is u in the plane in spanned by the columns of a why or why not
u in the plane is not spanned by the columns of A.
If u in the plane in spanned by the columns of A, then u can be obtained by the linear combination of the columns of A. That is
(4, -1, 4) = x(2, 0, 1) + y(5, 1, 2) + z(-1, -1, 0)
In matrix form we get
[tex]\left[\begin{array}{ccc}2&5&-1\\0&1&-1\\1&2&0\end{array}\right]\left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}4&-1&4\end{array}\right][/tex]
Determinant of matrix A is
= 2*1*0 + 5*-1*1 + -1*0*2 - -1*1*1 - 5*0*0 - 2*-1*2
= 0 - 5 + 0 + 1 + 0 + 4
= 0
Determinant of matrix A is 0, thus no solutions exist.
So u cannot be spanned by columns of A.
--The question is incomplete, answering to the question below--
"Let u = [tex]\left[\begin{array}{c}4&-1&4\end{array}\right][/tex] and A = [tex]\left[\begin{array}{ccc}2&5&-1\\0&1&-1\\1&2&0\end{array}\right][/tex] . Is u in the plane is spanned by the columns of A? why or why not?"
To know more on matrix
https://brainly.com/question/30262938
#SPJ4
Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude period horizontal shift b) Write an equation that represents the curve in the form y = a cos(k(x - b)).
The equation for the curve shown in the form y = a cos (k (x - b)). -2, 4π/3, -π/3 y = -2cos (4π/3(x + π/3))
Determine the horizontal shift, period, and amplitude.
Given:
1. The amplitude of a cosine graph is the maximum value of the graph. In this case, the amplitude is -2.
2. The period of a cosine graph is the length of one cycle. In this case, the period is 4π/3.
3. The horizontal shift of a cosine graph is the amount the graph is shifted to the left or right. In this case,
The absolute value of the horizontal shift is less than the period, so the horizontal shift is -π/3.
4. To write the equation of the graph in the form y = a cos (k (x - b)), we can use the information from the previous steps.
We know the amplitude is -2, the period is 4π/3, and the horizontal shift is -π/3. Therefore, our equation is: y = -2cos (4π/3(x + π/3)).
To learn more about curve visit:
brainly.com/question/9521298
#SPJ4
Is it possible to form a triangle with side lengths 3, 4, and 5? if so, will it be scalene, isosceles, or equilateral?.
Answer:
yesscalenehope this helps :)
ind (f −1)'(a). f(x) = 3x3 3x2 5x 2, a = 2
function (f-1)(2) = 18 because the derivative of f at a = 2 is 18x2 + 10x.
We can find out how a function is changing at a specific point by looking at its derivative. We are required to calculate (f-1) in this scenario (2). We must first get the derivative of the given function, f(x) = 3x3 + 3x2 + 5x2, in order to perform this. The derivative of each term can be used to achieve this, giving us 9x2 + 6x + 10x. The derivative of f at a = 2 is equal to 18x2 + 10x when this is evaluated at a = 2. Now, by putting the derivative equal to 0 and finding x, we may calculate (f-1)(2). Thus, we obtain x = -1/9. Once this value has been entered, the original method returns (f-1)(2) = 18.
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
What is the volume of the region bounded by y=4x-x^2 and y=x^2 if rotated about the line x=4?
The volume of the region is 216.6 cubic units.
The volume of a three-dimensional object is the amount of space it occupies. When we rotate a two-dimensional region about a line, we obtain a three-dimensional object called a solid of revolution.
In this case, we are asked to find the volume of the solid of revolution obtained by rotating the region bounded by the curves y = 4x - x^2 and y = x^2 about the line x = 4.
To find the area of each slice, we need to find the radius of the disc.
In this case, the line of rotation is
=> x = 4,
so the radius of the disc at a point (x, y) on the curve is
=> 4 - x.
To find the height of the slice, we need to find the difference in y-values between the two curves at that x-value.
We can set the two curves equal to each other to find the x-values at which they intersect:
=> 4x - x² = x².
Solving for x, we find that x = -2 and x = 2 are the x-values at which the two curves intersect.
These x-values correspond to the y-values -2 and 8, respectively. Therefore, the height of the slice is
=> 8 + 2 = 10.
To find the volume of the solid, we need to integrate the product of the area of the disc and its height over the interval from x = -2 to x = 2.
The area of the disc is given by
=> π * (4 - x)².
Therefore, the volume of the solid of revolution is given by the following integral:
V = π ∫[-2,2] (4 - x)² x 10 dx
Solving this integral, we find that the volume of the solid is approximately 216.6 cubic units
To know more about volume here.
https://brainly.com/question/11168779
#SPJ4
what is the slope below
Answer:
The slope is 7/1
Step-by-step explanation:
The first valid point is at (-1,-4)
The second valid point is at (0,3)
You start at the (-1,-4) and you count up until you get at the same line as the next valid point, then you count over however many times it takes you to get to that point and in your case it would be up 7 over 1 so 7/1 and it is a positive slope
Amanda is using wire to construct a triangle for an art project. She has 4 inches of blue eirr and 8 inches of green wire. Amanda is going to buy some purple wire for the third side of her triangle. She needs to buy enough wire to make a triangle, but does not want to have any wire let over. What is the least amount and the greatest amount of purple wire she could buy?
Amana could buy more than ___ inches but less than ___ inches of purple wire.
Amanda could buy more than 4 inches but less than 8 inches of purple wire to make triangle.
For Amanda to make a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Therefore, the minimum amount of purple wire she could buy would be the sum of the lengths of the blue and green wires (4 inches + 8 inches = 12 inches), minus the length of the longest side (which is 8 inches), so 12 inches - 8 inches = 4 inches.
The maximum amount of purple wire she could buy would be the sum of the lengths of the two shorter sides (4 inches + 4 inches = 8 inches).
Learn more about triangle here
https://brainly.com/question/29868619
#SPJ4
In the graph, polygons JKLM and YXWZ are congruent.
The transformation that maps polygons JKLM into polygon YXWZ is
A. a rotation 90 deg clockwise about the origin, then a reflection across the x-axis and a translation by (5, 6)How to map the transformationUsing point M as reference (0, -6)
The transformation rule for reflection 90 deg clockwise is (x, y) → (y, -x)
M (0 -6) → M' (-6, 0)
Reflection across the x-axis (x, y) → (x, -y)
M' (-6, 0) → M'' (-6, 0)
Translation by (5, 6) (x, y) → (x + 5, y + 6)
M'' (-6, 0) → M''' (-6 + 5, 0 + 6) = M'' (-1, 6)
M''' = Z (-1, 6)
Learn more about transformation at:
https://brainly.com/question/4289712
#SPJ1
Please help me with these questions!!!
The value of f + g when function f(x) = 3x³- 6x g(x) = x² + 8x - 9 is 3x³ +x² + 2x - 9.
What is a function?
Function can be defined in which it relates an input to output.
Given functions ,
f(x) = 3x³ - 6x
g(x) = x² + 8x - 9
So,
f+g = 3x³ - 6x + x² + 8x - 9
= 3x³ +x² - 6x + 8x - 9
= 3x³ +x² + 2x - 9
So , f+g = 3x³ +x² + 2x - 9
Therefore, The value of f + g when f(x) = 3x³ - 6x g(x) = x² + 8x - 9 is
3x³ +x² + 2x - 9
To learn more about Function from given link.
https://brainly.com/question/12431044
#SPJ1
What is meant by linear algebra?
Answer:
Step-by-step explanation:
a branch of mathematics that is concerned with mathematical structures closed under the operations of addition and scalar multiplication and that includes the theory of systems of linear equations, matrices, determinants, vector spaces, and linear transformations.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The sum of the angle measures of a polygon with s sides is
2 and 340( degrees). Find s.
The sum of the angle measures of a polygon with s sides can be calculated using the formula:
(s - 2) * 180 degrees
We can use this formula to solve for s:
2 = (s - 2) * 180
Dividing both sides by 180:
2 / 180 = (s - 2)
Solving for s:
s = 2 + 2 / 180 = 2 + 1 / 90 = 2 + 1 / 90 * 180 / 180 = 2 + 2 / 3
So the number of sides of the polygon is s = 2 + 2 / 3 = 4 2/3.
Since a polygon must have a whole number of sides, s cannot be a fraction, which means this answer is not a valid solution for the number of sides of a polygon. I don't think the problem as stated does not have a valid solution.
What is 15kg in lbs ?
Answer: 15kg is equivalent to 33.0693 or 33, for short.
Step-by-step explanation:
33.0693 kilograms, or 33, are equal to 15 kilograms.
How many kg means 1 pound?A pound is about equivalent to 0.45359237 kilograms. By dividing the specified pound value by 0.45359237, one can convert a pound to kilograms. Remember that 1 kg equals 2.2046 lbs when converting weights.
The weight of a kilogram (kg) is said to be 2.2 times that of a pound. Thus, 2.26 pounds are equal to one kilogram of mass. In light of this, we shall now examine some of the primary variations between the pound and the kilogram. A pound is an imperial unit used to measure bulk or weight.
A weight of 500 pounds exceeds a weight of 200 kilograms because 227 kilograms is greater than 200 kilograms.
To learn more about kilograms refer to:
https://brainly.com/question/30402692
#SPJ4
The output y and input x of a device are related by y = x + 1. 4x3. (a) Find the values of the output for steady-state operation at the two operating points xo = 1 and xo = 2. (b) Obtain a linearized model for both operating points and compare them
The values of the output for steady-state operation at the two operating points xo = 1 and xo = 2 are y(1)=2.4, y(2)=13.2, and the linearized model for both operating points is y(x)=2.4+5.2(x-1), y(1)=2.4 y(2)= 7.6
The given equation is y=x+1.4x³.
The values of the output for steady-state operation are:
Now substitute Xo=1 and Xo=2 in given equation:
y(1)=1+1.4(1)³.
y(1)=2.4
y(2)=2+1.4(2)³.
y(2)=13.2
The formula for linearization is:
[tex]y(x)=y(1)+\frac{dy}{dx} |_x_=_1.(x-1)[/tex]
The first derivative of the formula evaluated at x = 1 is:
[tex]\frac{dy}{dx} |_x_=_1=1+4.2(1)^2\\\\\frac{dy}{dx} |_x_=_1=5.2[/tex]
The linearized model is:
y(x)=2.4+5.2.(x-1)
The output at x = 2 is presented below:
y(x)=2.4+5.2.(2-1)
y(2)=7.6
The linearized model offers reasonable approximations for small intervals.
To know more about the steady-state operation:
https://brainly.com/question/15117537
#SPJ4
a coral reef is 5 miles due north of its closest point along a straight shoreline. a visitor is staying in a cottage that is 6 miles east of that point. the visitor is planning to go from the cottage to the coral reef. suppose the visitor runs at a rate of 8 mph and swims at a rate of 1 mph. how far should the visitor run to minimize the time it takes to reach the coral reef? round to two decimal places.
Answer is 5.54 miles. The decimal digit generally refers to the representation of a number in the decimal number system, often referred to simply as a decimal, or less precisely as a decimal.
How far should the visitor run to minimize the time it takes to reach the coral reef?
Assume she runs up to a point that is x miles to the east of the coral reef: distance running =6 -x miles.
distance swimming = root of x^2+5^2= root of x^2+25.
Times: time= distance / speed time running =6-x/8
time swimming =x^2+25/8 Total time
time running + time swimming:
T=6-x/8+x^2+25/8
The accepted method of representing integers and non-integers is the decimal number system. It is an extension of the Indo-Arabic numeral system to non-integer values. Decimal notation is a term used to describe how numbers are represented in the decimal system.
To learn more about decimal places refers to;
brainly.com/question/15161606
#SPJ4
Answer is 5.54 miles. The decimal digit generally refers to the representation of a number in the decimal number system, often referred to simply as a decimal, or less precisely as a decimal.
How far should the visitor run to minimize the time it takes to reach the coral reef?Assume she runs up to a point that is x miles to the east of the coral reef: distance running =6 -x miles.
distance swimming = root of x²+5²= root of x²+25.
Times: time= distance / speed time running =6-x/8
time swimming =x²+25/8 Total time
time running + time swimming:
T=6-x/8+x²+25/8
The accepted method of representing integers and non-integers is the decimal number system. It is an extension of the Indo-Arabic numeral system to non-integer values. Decimal notation is a term used to describe how numbers are represented in the decimal system.
To learn more about decimal places refers to;
brainly.com/question/15161606
#SPJ4
A base of a solid is the region bounded by y= e^{-x}, the x-axis, the y-axis, and the line x= 2....
The area of the base of the solid is equal to e^-2 - 2.
A base of a solid is the region bounded by y = e^-x, the x-axis, the y-axis, and the line x = 2.
To find the area of the base, we need to find the region that is bounded by y = e^-x, the x-axis, and the line x = 2. The x-axis and the line x = 2 act as boundaries, so we need to find the points where y = e^-x intersects these two lines. The x-axis is at y = 0, so the point of intersection is found by solving the equation:
0 = e^-x
Taking the natural logarithm of both sides, we get:
x = -ln(0) = ∞
The line x = 2 intersects y = e^-x at:
e^-x = 2
Taking the natural logarithm of both sides, we get: -x = ln(2)
And solving for x, we get: x = -ln(2)
So, the area of the base is the region bounded by x = -ln(2), x = 2, and y = e^-x. This can be found by integrating e^-x from x = -ln(2) to x = 2. The result is: A = ∫_{-ln(2)}^{2} e^-x dx = -e^-x |_{-ln(2)}^{2} = e^-2 - e^-(-ln(2)) = e^-2 - e^ln(2) = e^-2 - 2.
Therefore, the area of the base of the solid is equal to e^-2 - 2.
To learn more about logarithms,
Visit; brainly.com/question/30085872
#SPJ4
Joseph deposited $60 in an account earning 10% interest compounded annually. To the nearest cent how much will he have in 2years
Answer:
60
_
100 * 10=
Step-by-step explanation:
6% so that your answer
For this you will use
FV = PV (1+r)^t
FV = Future Value
PV = Present Value
r = rate
t or n = number of periods
$60 is PV
10% (.10) is rate.
2 years is number of periods.
FV = $60(1.10)^2
FV = $72.60
Solve the system by graphing
x+2y=3
-x+3y+7
This system of equations has been solved graphically and their solution is equal to the ordered pair (-1, 2).
How to graph the solution to this system of inequalities?In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
x + 2y = 3 ......equation 1.
-x + 3y = 7 ......equation 2.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant II and it is given by the ordered pair (-1, 2)
Read more on graphs here: brainly.com/question/4546414
#SPJ1
Jevonte kicks a football. Its height in feet is given by h = -16t² +48t where t
represents the time in seconds after kick. Interpret the coordinates of the vertex in
context.
The x-coordinate (or t-coordinate) of the vertex is
The y-coordinate (or h-coordinate) of the vertex is
x-coordinate of the vertex is time in seconds and y-coordinate of the vertex is the height of the football.
What is Coordinate System?Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Given that Jevonte kicks a football. Its height in feet is given by h = -16t² +48t
where t represents the time in seconds after kick.
We have to find x-coordinate (or t-coordinate) of the vertex is time in seconds and y y-coordinate (or h-coordinate) of the vertex is the height of the football.
Hence, x-coordinate of the vertex is time in seconds and y-coordinate of the vertex is the height of the football.
To learn more on Coordinate System click:
https://brainly.com/question/29762404
#SPJ1
Find the expression equivalent to
3(x+5)-2.
3(x+5)-2 is 3x + 13.
Knowing this information, all you have to do is find an equivalent expression to 3x + 13.
I'll see you in class tomorrow.
I'm kind of disappointed.
You were my favorite student too.
(and yes, I do have a secret undercover teacher account.)