Solution to the given system of equations is (6, -9).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=x-15 -----(I) and y=-2x+3 -----(II).
Substitute x=y+15 in equation (II), we get
y=-2(y+15)+3
y=-2y-30+3
3y=-27
y=-9
Substitute y=-9 in equation (II), we get
-9=-2x+3
-12=-2x
x=6
So, solution is (6, -9)
Therefore, solution to the given system of equations is (6, -9).
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It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end. How long will it take you to read 6.25 pages and also take the test?
The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.
The number of minutes to read 6.25 pages will be given as,
⇒ 6.25 x 0.8
⇒ 5 minutes
The number of minutes to take the test will be given as,
⇒ 5.5 - 5
⇒ 0.50 minute
⇒ 0.50 x 60
⇒ 30 seconds
The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.
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Rowan bought a large bag of jellybeans. She divided the jellybeans into 9 smaller bags that each contained 6 ounces. Write a division EQUATION (not answer) that could be used to find the amount of jellybeans, b, in ounces, that were in the original bag that Rowan bought.
The division equation that could be used to find the amount of jellybeans, b, in ounces, that were in the original bag that Rowan bought is given as follows:
6 = b/9.
How to obtain the division equation?The division equation is obtained applying the proportions in the context of this problem.
The number of ounces per bean is given by the division of the total amount of jellybeans and the number of bags.
The parameters for this problem are given as follows:
6 ounces per bag.9 bags.Hence the division equation is given as follows:
6 = b/9.
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2 1/4 divided by 1 1/2
Answer: 3/2
Step-by-step explanation:
Answer:
3/2 or 1 1/2
Step-by-step explanation:
[tex]2\frac{1}{4}/1\frac{1}{2} \\\frac{9}{4}/\frac{3}{2} \\(\frac{9}{4})(\frac{2}{3})\\\frac{18}{12} \\\frac{3}{2} or 1\frac{1}{2}[/tex]
when would the following conditional be false? If you work 20 hours a week, then you would make $125.00
a.you work 25 hours a week, and you make $125.00
b. you work 25 hours a week, nd you make $175.00
c. you work 20 hours a week, and you make $175.00
d. you work 20 hours a week, and you make $125.00
The conditional, "If you work 20 hours a week, then you would make $125.00" would be false if this holds true:
c. You work 20 hours a week, and you make $175.00
What is the wrong conclusion?To arrive at the wrong conclusion, we need to look out for the statement that directly violates the hypothesis that working 20 hours a week will yield $125.
The answer that is in direct conflict with this statement is option C. Here, instead of making $125, the person makes $175 and this is way above the conclusion reached in the original sentence. So, the wrong conditional is C.
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What is GCF of the following rational expression?
5x(x-2)/(x-2)(x+4)
Question 7 (5 points) Which is the area between the x-axis and y=x from x=3 to x=6
The area between the x-axis and y = x from x = 3 to x = 6 will be 13.50 square feet.
What is integration?Integration is a way of finding the total by adding or summing the components. It's a reversal of differentiation, in which we break down functions into pieces. This approach is used to calculate the total on a large scale.
The function is given below.
y = x
Integrate the function under the limit from x = 3 to x = 6 will be given as,
[tex]\begin{aligned} I &= \int^6_3 y dx\\\\ I &= \int^6_3x dx\\\\I &= \left [\dfrac{x^2}{2} \right ]^6_3 \\\\I &= \dfrac{6^2 - 3^2}{2} \end{aligned}[/tex]
Simplify the equation further, then we have
I = (36 - 9) / 2
I = 27 / 2
I = 13.50 square units
The area between the x-axis and y = x from x = 3 to x = 6 will be 13.50 square feet.
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Write a doubles fact you can use to find the sum. Write the sum.
2 + 3 =5
Answer:
Step-by-step explanation:
I think doubles facts are when you use a different equation to get the same sum, right?
In that case here are some doubles.
1+4=5
2+3=5
3+2=5
4+1=5
5+0=5
Question 5
SE
Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply. (Lesson 1-11)
A) 3 cm to 15 km
B) 1 mm to 150 km
C) 5 cm to 1 km
D) 5 mm to 2.5 km
E) 1 mm to 500 m
©2023 McGraw Hill. All Rights Reserved. Privacy Center Terms of Use Minimum Requirements Platform
Answer:3 cm to 15 km
Step-by-step explanation:
Help me solve the problem of this
In the given word problem amount does Teresa spends is $16.50.
What is word problem?A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.
Here,
The amount does Jayson Spends = $3.75
According to the question,
Myra spends 3times as much as Jayson . then
Amount does Myra spends = 3× 3.75 = $11.25.
Now Teresa spends $5.25 more than Myra then,
Amount does Teresa spends = 11.25+5.25 = $ 16.50.
Hence In the given word problem amount does Teresa spends is $16.50.
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180.4 is what percent of 128? Rounded to the nearest tenth.
Answer:
180.4 is 140.9% of 128.
Step-by-step explanation:
180.4 is what percent of 128 Rounded to the nearest tenth?
A common way of solving these types of problems is to utilize the [tex]\frac{is}{of}[/tex] x 100% formula.This works by using the number before is as the numerator and the number after of as the denominator [tex]\frac{180.4}{128}[/tex].Once the dividend is achieved, multiply by 100 and then round the number to the nearest tenth.[tex]\frac{180.4}{128}[/tex] = 1.40931.409 x 100% = 140.93%Rounded to the nearest tenth is = 140.9%Question content area top Part 1 Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. 427
The 427 is in the sets of the whole number, real number, rational number, natural number, and integers.
What is set?
A set is a collection of clearly - defined +ique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.
As we know, a number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is 427
The number 427 is in the set of whole numbers
The number 427 is in the set of real numbers
The number 427 is in the set of rational numbers because it can be written as in the form of p/q.
The number 427 is in the set of natural numbers
The number 427 is in the set of integer numbers
Hence, the 427 is in the sets of the whole number, real number, rational number, natural number, and integers.
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Adrian grabbed a bag of mandarin oranges off the shelf and spilled them all out on the counter. He divided them into 4 piles, but there was 3 left over. He rearranged them into 5 piles but this time there were 2 left over. Then he tried putting them into six piles, but there were 3 left over. When he tried 7 piles there were 3 left over again. Finally he put them into 3 piles and he didn’t have any left over. If the number of mandarins in the bag was less than 100, how many mandarins were in the bag?
The number of mandarins in the bag is 3 * 33 + 3 = 102 mandarins.
How did we determine the values?This is a Diophantine equation problem, which is a type of mathematical problem that looks for integers that satisfy a given equation.
We know that the number of mandarins in the bag is equal to 4n + 3, 5m + 2 and 6p + 3 and 7q + 3 for some integers n, m, p and q.
We also know that the number of mandarins in the bag is equal to 3r, where r is an integer.
From the information provided, we can set up the following equation:
4n + 3 = 5m + 2 = 6p + 3 = 7q + 3 = 3r
Now we can use the information that when he finally put them into 3 piles and he didn't have any left over, meaning that the number of mandarins in the bag is divisible by 3, we can see that the remaining number in each case is 3.
Thus the number of mandarins in the bag is 3 * (some integer) + 3.
We can then use the information that the number of mandarins in the bag was less than 100, meaning the possible value of r is less than 34.
Testing values of r starting from 1, we can see that r = 33 satisfies the equation and the number of mandarins in the bag is 3 * 33 + 3 = 102 mandarins
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find the centroid of the region in the first quadrant bounded by the given curves. y = x9, x = y9
The centroid of the region in the first quadrant bounded by the curves [tex]\(y = x^9\)[/tex] and [tex]\(x = y^9\)[/tex] is [tex]\(\left(\dfrac{10}{11}, \dfrac{10}{11}\right)\)[/tex].
The centroid is given by the following formulas:
[tex]\[\bar{x} = \dfrac{\int_{a}^{b} x \cdot f(x) \, dx}{\int_{a}^{b} f(x) \, dx}\][/tex]
[tex]\[\bar{y} = \dfrac{\int_{c}^{d} y \cdot g(y) \, dy}{\int_{c}^{d} g(y) \, dy}\][/tex]
Where f(x) and g(y) are the functions that define the curves bounding the region.
Since we want to find the centroid of the region in the first quadrant, the intersection points of the two curves in the first quadrant.
The curves intersect at (1, 1).
Now, let's find the centroid of the region in the first quadrant.
First, find the limits of integration:
1. For x:
The curve [tex]\(y = x^9\)[/tex] is the upper curve, and it intersects the x-axis at x = 0 and the y-axis at x=1.
So, the limits of integration for x are [tex]\(0 \leq x \leq 1\)[/tex].
2. For y: The curve [tex]\(x = y^9\)[/tex] is the right curve, and it intersects the y-axis at y=0 and the x-axis at y=1.
So, the limits of integration for y are [tex]\(0 \leq y \leq 1\)[/tex].
Now, set up the integrals:
[tex]\[\bar{x} = \frac{\int_{0}^{1} x \cdot x^9 \, dx}{\int_{0}^{1} x^9 \, dx}\][/tex]
[tex]\[\bar{y} = \dfrac{\int_{0}^{1} y \cdot y^9 \, dy}{\int_{0}^{1} y^9 \, dy}\][/tex]
1. [tex]\(\int_{0}^{1} x \cdot x^9 \, dx\):[/tex]
[tex]\[\int_{0}^{1} x \cdot x^9 \, dx = \int_{0}^{1} x^{10} \, dx[/tex]
[tex]= \left[\dfrac{x^{11}}{11}\right]_{0}^{1} = \dfrac{1}{11}\][/tex]
2. [tex]\(\int_{0}^{1} x^9 \, dx\):[/tex]
[tex]\[\int_{0}^{1} x^9 \, dx = \left[\dfrac{x^{10}}{10}\right]_{0}^{1}[/tex]
[tex]= \dfrac{1}{10}\][/tex]
3.[tex]\(\int_{0}^{1} y \cdot y^9 \, dy\):[/tex]
[tex]\[\int_{0}^{1} y \cdot y^9 \, dy = \int_{0}^{1} y^{10} \,[/tex] dy
[tex]= \left[\dfrac{y^{11}}{11}\right]_{0}^{1} = \dfrac{1}{11}\][/tex]
4. [tex]\(\int_{0}^{1} y^9 \, dy\):[/tex]
[tex]\[\int_{0}^{1} y^9 \, dy = \left[\frac{y^{10}}{10}\right]_{0}^{1}[/tex]
[tex]= \dfrac{1}{10}\][/tex]
Now, the centroid coordinates:
[tex]\[\bar{x} = \dfrac{\frac{1}{11}}{\dfrac{1}{10}} = \dfrac{10}{11}\][/tex]
[tex]\[\bar{y} = \dfrac{\frac{1}{11}}{\dfrac{1}{10}} = \dfrac{10}{11}\][/tex]
So, the centroid of the region is [tex]\(\left(\dfrac{10}{11}, \dfrac{10}{11}\right)\)[/tex].
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what is the unit form of 5 divided by 4?
Answer:
Should be Ones: 1, Tenths: 2, Hundredths: 5
Step-by-step explanation:
PLEASE HELLPPPPPPPP!!!!!!
Considering the graph of the curve shown if f(x) = 0 then the value of x is
(-1.4 0) and (1.4, 0)How to find the value of xThe x-intercepts of the function's graph, or the zero of a function, is the location on a graph where the function's graph crosses the x-axis.
This is the solution of the graph. it also called the x intercept or the zero
Examining the graph, the points are in exact spot in both the negative and positive part of the x axis
This spot is between 1 and 2 and not up to half way while moving from 1 to 2.
The point can be estimated to be 1.4 hence the values are
(-1.4 0), (1.4, 0)
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For every 3 green marbles James has, he has 2 yellow marbles. What is the ratio of green to yellow marbles? If James has 12 green marbles and 8 yellow marbles, draw a visual model to represent the total marbles.
The ratio of green to yellow marbles is 3/2.
What is ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
Given:
For every 3 green marbles James has, he has 2 yellow marbles.
We have to find the ratio of green to yellow marbles.
As for every 3 green marbles James has, he has 2 yellow marbles.
So, the the ratio of green to yellow marbles is 3/2.
Hence, the ratio of green to yellow marbles is 3/2.
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Mariela bought 15 pounds of birdseed for $10.00. Mark bought 12 pounds of birdseed for $8.00. Daryl bought 18 pounds of birdseed for $12.00. The graph below shows these purchases.
The cost for one pound of birdseed should be $0.67. The solution has been obtained using the unitary method.
What is a unitary method?
In the unitary method, the value of a single unit is first calculated, and only then is the value of the necessary number of units calculated. The unitary technique, to put it simply, is used to calculate the value of a single unit from a given multiple.
We know that cost per pound = Total pounds/cost
So, for Mariela
15 pounds = $10.00
1 pound = $0.67
For Mark,
12 pounds = $8.00
1 pound = $0.67
For Daryl,
18 pounds = $12.00
1 pound = $0.67
Hence, the cost for one pound of birdseed should be $0.67.
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Since, the question is incomplete, the complete question has been attached below
NO LINKS!!
The number of people that drink Root Beer instead of Coca-Cola in Outback, Kentuck has been declining at the rate of 6.5% per year. As of Sept. 1983, the number of people who still drink Root Beer was 5480. (NOT MULTIPLE CHOICE)
a. Write an exponential equation that will represent the number of Root Beer loyalists in Outback for any year.
b. How many Root Beer loyalists should there be as of September 2023? Show or explain how you know.
=========================================================
Explanation:
Part A
x = number of years after 1983
Example: x = 2 is the year 1985 since 1985-1983 = 2.
The number of people who drink this beverage declines by 6.5% each year. The multiplier is 1+r = 1+(-0.065) = 0.935
Meaning that if 6.5% of the people leave, then 93.5% remain. The two percentages add to 100%.
This value 0.935 is the base of the exponent portion. We have 0.935^x as the exponent portion.
Out front is the value 5480 which is the starting amount of people.
This leads to the exponential equation y = 5480*0.935^x
It is of the form y = ab^x
a = 5480 = starting population
b = 0.935 = decay factor
---------------------------------------
Part B
The timespan from 1983 to 2023 is 40 years (because 2023-1983 = 40).
Which means we plug x = 40 into the equation we found in part A.
y = 5480*0.935^x
y = 5480*0.935^40
y = 5480*0.06799303620922
y = 372.601838426526
y = 373
Be sure to round to the nearest whole number.
We expect or predict there will be approximately 373 people who remain loyalists to this root beer as of September 2023.
Answer:
Part (a)
[tex]y=5480(0.935)^x[/tex]
where:
x is the number of years after 1983.y is the total number of Root Beer loyalists.Part (b)
373
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]
The initial number of people who drink Root Beer (in September 1983):
a = 5480If the number of people that drink Root Beer instead of Coca-Cola has been declining at the rate of 6.5% per year, then:
b = 100% - 6.5% = 93.5% = 0.935Therefore, an exponential equation that represents the number of Root Beer loyalists in Outback for any year is:
[tex]y=5480(0.935)^x[/tex]
where:
x is the number of years after 1983.y is the total number of Root Beer loyalists.The number of years between September 1983 and September 2023 is:
2023 - 1984 = 40 yearsTo calculate how many Root Beer loyalists should there be as of September 2023, substitute x = 40 into the equation found in part (a):
[tex]\implies y=5480(0.935)^{40}[/tex]
[tex]\implies y=5480(0.0679930362...)[/tex]
[tex]\implies y=372.601838...[/tex]
[tex]\implies y=373[/tex]
Therefore, there should be approximately 373 Root Beer loyalists as of September 2023.
Herman invests
$
6
,
400
at
5.5
% interest for
7
years compounded quarterly. Find the amount of money in the account after
7
years.
Answer:
2000 dollar and 6% impound will be your answer
Step-by-step explanation:
Write the equation of the line shown.
Answer:
y = -2x
Step-by-step explanation:
The equation is y = mx +b
m = the slope
b = y-intercept
The slope = rise/run
Let's pick 2 points (0,0) (2,-4); we see the y decrease by 4 and the x increase by 2, so our slope is
m = -4/2 = -2
Y-intercept is when x = 0, y-intercept is located at (0,0)
So our equation is
y = -2x
Let W1 be the set: Determine if W1 is a basis for R3 and check the correct answer(s) below. O A. W1 is not a basis because it does not span R3. O B. W1 is a basis. O C. W1 is not a basis because it is linearly dependent.
The set W1 could be a basis for R3 if it spans R3 and is linearly independent, but without the specific elements of W1, it's not possible to determine if it meets those criteria.
The specific elements that make up the set W1. However, I can tell you that to be a basis for R3, a set of vectors must meet two criteria:
The set must span R3, meaning that any vector in R3 can be written as a linear combination of the vectors in the set.The set must be linearly independent, meaning that no vector in the set can be written as a linear combination of the other vectors in the set.So, depending on the specific elements of W1, it could be either A, B, or C.
If the set W1 doesn't span R3, it would be A.
If the set W1 is linearly dependent, it would be C.
If both conditions are met the set is a basis, so the answer would be B.
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Please answer I would really really appreciate it !
Answer:
92.5 cubic units
Choice A
Step-by-step explanation:
To approach this problem, separate out the composite solid figure into individual easily manageable components
At the bottom we have a rectangular prism which has a base length of 2a, a height of a and a width of c
Its volume = L X H X W = 2a·a·c= 2a²c
Plugging in values for a and c we get
Volume of rectangular prism
= 2 x (3.7)² x 2
= 54.76 cubic units
On top of this rectangular prism are two right-angled triangular prisms
The volume of a right-angled triangular prism =
Here height = b (confusing :)
base = a
width = c
So volume of each triangular prism
[tex]=\textrm{$\dfrac{1}{2} \times $ base x height x width}\\\\= \dfrac{1}{2} a \times b \times c\\\\ = \dfrac{1}{2} \times 3.7 \times 5.1 \times 2\\\\= 18.87[/tex]
Since there are 2 such prisms the volume of both
= 18.87 x 2 = 37.74 cubic units
Total volume of composite solid = 54.76 + 37.74 = 92.5 cubic units
Marcel is performing the first test on his company's new electric car. During the test, the electric car reaches a maximum speed of 81 mph.
The performance test results of the electric car can be modeled by the following graph, where x represents time, in seconds at the start of the test, and y represents the speed, in miles per hour.
At 0 seconds and 12 seconds, the electric vehicle is not moving.
What is speed?The most crucial scientific notion is measurement.
Base or physical fundamental units are used to quantify a wide range of quantifiable quantities.
One such measurable metric is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance.
The distance traveled in relation to the time it took to travel that distance is how speed is defined.
Since speed simply has a direction and no magnitude, it is a scalar quantity.
When an object travels the same distance in the same amount of time, it is said to be moving at a uniform speed.
Average speed is the constant speed determined by the ratio of the total distance traveled by an object to the total amount of time it took to travel that distance.
According to our question-
At the start of the test, x: represents the time in seconds.
Y: stands for the speed, expressed in miles per hour.
Then, we have this:
x = 0 —-> y = 0
x = 12 —-> y = 0
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Ellen can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 15 minutes?
Answer:
9,000
Step-by-step explanation:
5(3)=15
3000(3)=9000
Solve this problem please
Answer:
[tex]8x-10[/tex]
Step-by-step explanation:
[tex]5x+3(x-4)+2[/tex]
Distribute:
[tex]=5x+(3)(x)+(3)(-4)+2\\=5x+3x+-12+2[/tex]
Combine Like Terms:
[tex]=5x+3x+-12+2\\=(5x+3x)+(-12+2)\\=8x+-10\\= 8x - 10[/tex]
Rewrite this number in standard (decimal) notation without the use of exponents or scientific notation:
6.758 x 10^10
Therefore , the solution of the given problem of expression comes out to be sixty-seven billion five hundred eighty million.
How is expression selected?Each variable must be replaced with a number and arithmetic operations must be performed to check an algebraic equation. Given that 6 + 6 equals 12, the answer variable in the aforementioned case is comparable to 6. We can substitute the variables values with those we know in order to evaluate the expression.
Here,
6.758 1010 in scientific notation
The scientific notation is = 6.758e10.
Engineering notation: 67.58 109 billion; prefix: giga- (G)
6.758 x 1010 standard form
10 Order of Magnitude for scientific notation and conventional forms
=>67580000000 (real number)
=>67,580,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
sixty-seven billion five hundred eighty million
word form.
Therefore , the solution of the given problem of expression comes out to be sixty-seven billion five hundred eighty million.
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use any method to find the greatest common factor of each pair of numbers, 12,30
Answer: 6
Step-by-step explanation:
12 ÷ 6 = 2
30 ÷ 6 = 5
Situation #1
The ratio of the interior angles of a hexagon is 5:5:6:7:8:9.
1a. What is the measurement of the 10 points
second-largest interior angle in this
hexagon?
Your answer:
1b. What is the measurement of the 10 points
interior angle that appears twice in
this hexagon?
Your answer:
Answer:
a) 144°
b) 90°
Step-by-step explanation:
You want the measures of the 2nd largest, and the smallest, of the angles in a hexagon whose ratios are 5:5:6:7:8:9.
HexagonThe interior angles of a hexagon will have a sum of ...
180°×(n -2) = 180°×(6 -2) = 720°
RatioThe sum of the numbers in the given ratio is ...
5+5+6+7+8+9 = 40
This tells us that multiplying the ratio values by 720/40 = 18 will give the angle values:
90:90:108:126:144:162
Second largestThe second largest angle is 144°.
RepeatedThe smallest angle, 90°, is the one that is repeated.
The graph of function f is shown. The graph of an exponential function passes through (minus 10, minus 1), (2, 8) also intercepts the x-axis at minus 2 units and y-axis at 2 units Function g is represented by the table. x -2 -1 0 1 2 g(x) 0 2 8 26 Which statement correctly compares the two functions? A. They have the same x-intercept and the same end behavior as x approaches ∞. B. They have different x- and y-intercepts but the same end behavior as x approaches ∞. C. They have the same y-intercept and the same end behavior as x approaches ∞. D. They have the same x- and y-intercepts.
Since the graph of an exponential function passes through (minus 10, minus 1), (2, 8) also intercepts the x-axis at minus 2 units and y-axis at 2 units, a statement which correctly compares the two functions include the following: A. They have the same x-intercept and the same end behavior as x approaches ∞.
What is y-intercept?In Mathematics, the y-intercept of any graph such as an exponential function, generally occur at the point where the value of "x" is equal to zero (x = 0).
What is the x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of an exponential function crosses the x-coordinate and the value of "y" is equal to zero (0).
Based on the information provided about the graph of function f, the x-intercept and y-intercept include the following:
x-intercept = (-2, 0).
y-intercept = (0, 2).
Furthermore, the x-intercept and y-intercept of function g include the following:
x-intercept = (-2, 0).
y-intercept = (0, 8).
Therefore, we can logically conclude that both functions have the same x-intercept of -2.
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Rick read half the amount of time that Rita read. Rita read one-third of the time that Larry read. Larry read twice as long as Tina. If Tina read for 3 hours, how long did Rick read?
Answer:
Rick read for 1 hour.
Step-by-step explanation:
Tina read 3 hours, Larry read twice as long that is 6 hours, Rita read one third of Larry's so 6 times one-third is 2 hours, half that for Rick's hours and you get 1 hour