Answer:
Not executable
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
so the equation of parabola with the vertex (24, 10) is :
f(x) = a(x - 24)² + 10
the parabola's axis of symmetry parallel to the y-axis and passing through point (4,290) means: h = 4
4 ≠ 24That means you write something wrong in your question.
what is the coeffcients of 3m + 5 = 1
Gary's jogging average speed is represented by the equation y=3.5x where y is the distance in miles and x is the time in hours. How far can he go in 84 minutes?
Answer:
Gary can go 4.9 miles in 84 minutes.
Step-by-step explanation:
First, you need to determine the amount of hours 84 minutes represent considering that 60 minutes are equal to an hour:
60 minutes → 1 hour
84 minutes → x
x=(84*1)/60=1.4 hours
Now, 1.4 hours would be the time which is x and you can replace the value on the formula to find y:
y=3.5x
y=3.5(1.4)
y=4.9
According to this, the answer is that Gary can go 4.9 miles in 84 minutes.
The sixth root of (729x30 y 18 )?
Three times a number increased by
twice the number is greater than
125. What is the number?
Answer:
x > 25
Step-by-step explanation:
This question relates to algebra. We can solve this problem by creating a variable for the solution (which we will find). We will link the variable in an equation l with the information given.
So let's translate each piece of information mathematically. First, the question tells us "Three times a number." The first part uses multiplication (times) linked to our number (we will use x for our variable). So we write:
3x
The second part is "increased by twice the number" Increasing is adding (+) so we add two times the number. So:
3x + 2x
The final part says "is greater than 125" so we need to use the > sign
3x + 2x > 125
Now we can solve by collecting like terms and moving them to a different side.
5x > 125
x > 25
Can someone help me with this pls
Answer:
5^2
Step-by-step explanation:
5^3-10^2= 25/ 125-100=25
5^2=25
Ingrid types 3 pages in the same amount of time that Tanya types 4.5 pages. Write a proportion that could be used to find the number of pages Tanya will have typed when Ingrid has typed 11 pages, if they start typing at the same time. Use x to represent the number of pages Tanya has typed.
Answer:
16.5 pages
Step-by-step explanation:
Number of pages Ingrid types = 3
Number of pages Tanya types = 4.5
The proportion to find how many pages Tanya would have typed (x), if Ingrid typed 11 pages would be as follows:
3 : 4.5 = 11 : x
Thus:
[tex] \frac{3}{4.5} = \frac{11}{x} [/tex]
Cross multiply
[tex] 3*x = 11*4.5 [/tex]
[tex] 3x = 49.5 [/tex]
Divide both sides by 3
x = 16.5 pages
i need help with this slope problem
Answer:
What problem do you need help with.
Lindsey invests $250 in a bank account that pays 3% interest each year. How much
money will be in her account after one year?
Answer: Jenns account has the greater simple interest rate
Step-by-step explanation: The formula for simple interest is:
Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.
For Lindsey:
Solve for r
Lindsey simple interest was 1.2% annually
For Jenn:
Jenn simple interest was 1.5% annually
Therefore Jenns account has the highest simple interest rate.
Rob reduced the size of a triangle to a
width of 2 in. What is the new height if it
was originally 10 in tall and 20 in wide?
Answer:
the new height is now 1 inch
Step-by-step explanation:
Find the equation (in terms of x) of the line through the points (-2,-5) and (2,3)
whats the pythagorean Theorem?
a+b= c
a2+b2+c2
a2-b2=c2
a2+b2=c2
Answer:
It is used to find a side of a triangle.
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Remember : This only works in Right angled triangles.
4(5.8-9x)+8.2+22x simplify the expression
Answer 31.4-36x+22msxi
Step-by-step explanation:
Consider the Inequality
—2n +7 > -11
What is the solution of the inequality
Answer:
n < 9 or n = (-oo, 9)Step-by-step explanation:
-2n +7 > -11-2n > -11 - 7-2n > -18n < -18/-2n < 9n = (-oo, 9)Sally wants to calculate how fast her little brother can run. What information does she need to know?
Answer: If she's willing to calculate within mph, she needs to know a certain distance her brother can run, and how long it takes to run that distance.
You can buy 3 candy bars at quick market for $2.17. How many can you buy for $17.36?
Answer:
24 candy bars
Step-by-step explanation:
3 = $2.17
x = $17.36
cross-multiplying, we have;
x = (17.36 × 3)/2.17
x = 24
Therefore, you can buy 24 candy bars
Khan Academy please show work
Answer:
Rewriting the equation in the form (x+c)²=d by completing the square
[tex]\left(x+5\right)^2=16[/tex]The solutions to the quadratic equation are:
[tex]x=-1,\:x=-9[/tex]Step-by-step explanation:
Given the equation
[tex]x^2+10x+22=13[/tex]
subtract 22 from both sides
[tex]x^2+10x+22-22=13-22[/tex]
simplify
[tex]x^2+10x=-9[/tex]
Rewriting the equation in the form (x+c)²=d by completing the square
[tex]x^2+10x+5^2=-9+5^2[/tex]
[tex]x^2+10x+5^2=16[/tex]
[tex]\left(x+5\right)^2=16[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solve
[tex]x+5=\sqrt{16}[/tex]
[tex]x+5=\sqrt{4^2}[/tex]
[tex]x+5=4[/tex]
[tex]x=-1[/tex]
also solving
[tex]x+5=-\sqrt{16}[/tex]
[tex]x+5=-4[/tex]
[tex]x=-9[/tex]
Therefore, the solutions to the quadratic equation are:
[tex]x=-1,\:x=-9[/tex]
2m+1 _2m÷2m:simplify
Simplify the expression.
2m
I need to know how to write the function with the steps needed to solve.
9514 1404 393
Answer:
f(t) = 17.5cos(π(t-7)/6) +59
Step-by-step explanation:
When modeling earth data that has a daily or annual cyclic variation, the simplest sort of model is a sine or cosine function of some sort. Generally, its period will be 1 day or 1 year (or about 1/2 day, if you're modeling tides).
To write the trig function, you need to know ...
Amplitude (A)Offset (D)Period (here, 1 year) (B)Phase shift (C)These values will go into the general form ...
f(t) = A·cos(2π(t -C)/B) +D
__
In this particular form, the cosine function has a value of 1 when t=C, so we can choose C to be the value of t where f(t) is a maximum. In your data table, the maximum temperature is in July, where you have said t=7. So, C=7.
The period is 12 months, so B=12.
The amplitude (A) is half the difference between the minimum and maximum:
A = (76.5 -41.5)/2 = 17.5
The offset (D) is the average of the maximum and minimum:
D = (76.5 +41.5)/2 = 59
__
Using these values in the above form, we have ...
f(t) = 17.5cos(2π(t-7)/12) +59
__
Additional comments
You can see in the attachment that we have matched the maximum and minimum values exactly. A more sophisticated model is needed to adjust the function to match more of the data points.
Or, you may get a slightly better match if you use a sine regression model (least-squares best fit). That sort of modeling is best done using a graphing calculator or spreadsheet. The details are beyond the scope of this answer.
find the solution of the system equations.
10x-7y=-1
-2x-7y=-25
Answer:
[tex]x=2, y=3[/tex]
Step-by-step explanation:
Given equations:
[tex]10x-7y=-1[/tex]
[tex]-2x-7y=-25[/tex]
We can subtract the two equations from each other to eliminate [tex]y[/tex] to solve for [tex]x[/tex]:
[tex]10x-7y-(-2x-7y)=-1-(-25)[/tex]
[tex]10x-7y+2x+7y=-1+25[/tex]
[tex]12x=24[/tex]
[tex]x=2[/tex]
Now, we can use substitution to solve for [tex]y[/tex]:
[tex]10x-7y=-1[/tex]
[tex]10(2)-7y=-1[/tex]
[tex]20-7y=-1[/tex]
[tex]7y=21[/tex]
[tex]y=3[/tex]
∴ [tex]x=2, y=3[/tex]
Hope this helps :)
Which is not a subset of the set {1,2,3,5}?
Answer:5
Step-by-step explanation:
Rearrange y =1/2x+1to make x the subject.
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[tex]y = \frac{1}{2} x + 1 \\ [/tex]
Multiply sides by 2
[tex]2 \times y = 2 \times ( \frac{1}{2} x + 1) \\ [/tex]
[tex]2y =( 2 \times \frac{1}{2} x) + (2 \times 1) \\ [/tex]
[tex]2y = x + 2[/tex]
[tex]x + 2 = 2y[/tex]
Subtract sides 2
[tex]x + 2 - 2 = 2y - 2[/tex]
[tex]x = 2y - 2[/tex]
Done...
❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
The answer is x = 2y - 2Step-by-step explanation:
Question: y = 1/2x + 1
Given:
equation: y = 1/2x + 1
Unknown:
Equation in x = ?
1. Move the x variable to the side that the y is on.
y = 1/2x + 1
-1/2x -1/2x
2. Move the y to the side of the y-intercept
y - 1/2x = 1
-y - y
3. Divide both sides by -1/2 or multiply by -2
-1/2x = -y + 1
*-2 -2(-y + 1)
The answer is x = 2y - 2
Hope it helped,
Kavitha Banarjee
7TH GRADE MATH PLEASE HELP THERE IS ANSWER CHOICES AS WELL
Answer:
3/8
Step-by-step explanation:
If 1/4 is equaled to 1. This is 1 dived by 4 to get the 1/4.
Then 1.5 would be divided by 4 to get 3/8
Which ordered pairs make both inequalities true? Check all that apply. (–2, 2) (0, 0) (1,1) (1, 3) (2, 2)
Answer: (1,1) (2,2)
Step-by-step explanation: got it right on edg
Answer:
C. (1,1)
E. (2, 2)
Step-by-step explanation:
25 points and brainliest help pls
Answer:
I also think its option 3
Step-by-step explanation:
Answer:
neither.
Step-by-step explanation:
option 3!
the equation is: y = -32 +2
Select all of the equations that would be perpendicular to this line.
y = -31 - 2
y = 2x - 5
y = {2 – 3
y = 12 +7
y = -32 +1
y=i<+3.63917
y = –2 – 3
y = -4.1 - 32
Answer:
y = [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer
y = [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer
y = [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer
y = [tex]\frac{1}{3}[/tex] x ⇒ 8th answer
Step-by-step explanation:
The product of the slopes of the perpendicular lines is -1
If the slope of a line is m, then the slope of the perpendicular line to it is [tex]-\frac{1}{m}[/tex]To find the slope of a perpendicular line to a given line reciprocal the slope of the given line and change its signThe form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept∵ The equation of the given line is y = -3x + 2
→ Compare it with the form of the equation above
∴ m = -3
→ To find the slope of the perpendicular line to it reciprocal it and
change its sign
∴ The slope of the perpendicular line to it is = [tex]\frac{1}{3}[/tex]
→ Choose all the equations that have m = [tex]\frac{1}{3}[/tex]
∴ y = [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer
∴ y = [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer
∴ y = [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer
∴ y = [tex]\frac{1}{3}[/tex] x ⇒ 8th answer
A T-shirt design company charges your team an initial fee of $25 to
create the team's design. Each t-shirt printed with your design costs an
additional $8. How much does it cost you to buy 10 shirts? **Don't forget
the initial fee.**(hint: determine the equation first y = _X + __ and then
plug in 10 for x)
Answer
$305 hope this helps!!! :)
Step-by-step explanation:
(A)
Let [tex]x[/tex] be the number of T-Shirts and [tex]y[/tex] be the total costs so that the total cost is:
Total Cost= $25+ $8 times the number of T-Shirts
(B) [tex]y=25+8x[/tex]
For 35 members we need 35 T-Shirts so using the Linear model from part (A) substitute [tex]x[/tex] to 35 and solve for [tex]y[/tex]:
[tex]y=25+8(35)[/tex]
[tex]y=25+280[/tex]
[tex]y=305[/tex]
Suppose it is 40° inside your refrigerator and 340° inside your oven when the power goes out. The refrigerator temperature starts rising at the rate of 5° per hour. The oven temperature starts dropping at the rate of 45° per hour.
Answer:
The temperature of both appliances is 70° after 6 hours.
At 6 hours, both temperatures will be equal
Step-by-step explanation:
Equations
Let's call
T1 = Temperature inside of the refrigerator
T2 = Temperature inside of the oven.
x = Time in hours elapsed since the power goes out.
We know the temperature of the refrigerator rises at 5° per hour. Thus the function that models its temperature is:
T1 = 40 + 5x
We are also given the oven temperature drops by 45° per hour, thus:
T2 = 340 - 45x
a) Find the value of x for both temperatures to be the same.
We equal T1 and T2:
40 + 5x = 340 - 45x
Adding 45x
40 + 5x + 45x = 340
Subtracting 40:
5x + 45x = 340 - 40
Operating:
50x = 300
x = 300/50
x = 6
At 6 hours, both temperatures will be equal
b)
The common temperature can be found by substituting x in any function:
T1 = 40 + 5x = 40 + 5(6) = 40 + 30 = 70
T2 = 340 - 45x = 340 - 45(6) = 70
The temperature of both appliances is 70° after 6 hours.
If x is a positive integer, for how many different values of x is StartRoot StartFraction 48 Over x EndFraction EndRoot a whole number?
Answer:
For 3 different values of x
Step-by-step explanation:
Here, we want to get the values of x for which
√(48/x) is a whole number
We have to consider that the values of x that will make the expression a whole number must be less than or equal to 48
Also, we have to consider that, the division we have to make must yield a perfect square so as to have a whole number square root
The factors of 48 that can yield a whole number are;
1,2,3,4,6,8,12,16,24 and 48
However, the divisions that can yield a perfect square are
3 (yield 16)
12 ( yield 4)
48 ( yield 1)
So the numbers of the value of x that can yield a whole number is 3
Answer:
B: 3
Step-by-step explanation:
edg 2020
For which triangle does the equation 42 +42 = 2 apply?
4
4
С
с
4
N
4
C
4.
4
Answer:
The 2nd triangle
Step-by-step explanation:
The second triangle satisfies the equation 4² + 4² = C². Then the correct option is B.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as,
H² = P² + B²
The Pythagoras theorem is applied in the right-angle triangle.
In the second triangle, then the third side of the triangle is calculated as,
4² + 4² = C²
The second triangle satisfies the equation 4² + 4² = C². Then the correct option is B.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ7
HELP ASAP!!!! 20 points
Answer:
Angle B is 14 I think, but I am not sure.
Step-by-step explanation: