help! (equivalent fractions)
it has three questions, please awnser the three! thank you!!!​

Answer:

x = ±√(y/25 + 4)

Step-by-step explanation:

Given the expression;

y = 25x² - 100

We are to make x the subject of the formula;

-25x² = -y - 100

25x²= y + 100

x² = y/25 + 100/25

x²= y/25 + 4

x = ±√(y/25 + 4)

This give the value of x

Answer: D. 3/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Slope is change in y / change in x

In the graph there is an interception at 0,1 and 2,4

So the change in x is 2 and the change in y is 3

so 3/2

And it's positive since it's going top right.

Answer:

Not sure how to answer this.

Step-by-step explanation:

Answer:

5 inches

Step-by-step explanation:

if its under that than, that's just disappointing

Given:

The compound inequality is:

[tex]3<x+3<6[/tex]

To find:

The solution for x.

Solution:

We have,

[tex]3<x+3<6[/tex]

To solve the inequality, we need to isolate the variable x.

Subtracting 3 from each side, we get

[tex]3-3<x+3-3<6-3[/tex]

[tex]0<x<3[/tex]

The solution for x is [tex]0<x<3[/tex]. Therefore, the correct option is C.

Answer:

-5

Step-by-step explanation:

When rotating a point (x,y) 270 degrees counterclockwise, the new coordinates become (y, -x).

Answer:

(4, -5)

Step-by-step explanation:

Seeing as the coordinates of P are (5, 4) and it's a 270 degrees rotation, the transformation rule is:

[tex](x,y)[/tex] turns into [tex](y, -x)[/tex].

Thus, (5, 4) turns into (4, -5)

Answer:the third one

Step-by-step explanation:

Answer: 3/4 hour

Step-by-step explanation: You can add 1/4 at a time to get to the 3 2/4.

Answer:

x = 1+sqrt(69)/8 about 2.0383

or

x = 1-sqrt(69)/8 about -0.0383

Step-by-step explanation:

Use the quadratic formula:

(Move 17 to the left side first though)

(-b±√(b²-4ac))/2a

(1±sqrt(1-4*1*-17))/2(4)

x = 1±sqrt(69)/8

The most efficient method is the quadratic equation because the equation is not easily factorable and a!=1.

Answer:

[tex] \alpha = 108\degree, \: \beta = 72\degree [/tex]

Step-by-step explanation:

α and β are Supplementary (given)

[tex] \therefore \alpha + \beta = 180\degree.... (1)[/tex]

It is given that:

[tex] \alpha= \frac{3}{2} \beta[/tex]

Plugging the value of α in equation (1), we find:

[tex] \frac{3}{2} \beta + \beta = 180\degree[/tex]

[tex]\therefore \frac{3+2}{2} \beta = 180\degree[/tex]

[tex]\therefore \frac{5}{2} \beta = 180\degree[/tex]

[tex]\therefore \beta = 180\degree\times \frac{2}{5}[/tex]

[tex]\therefore \beta = 72\degree[/tex]

[tex]\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree [/tex]

So,

[tex] \alpha = 108\degree, \: \beta = 72\degree [/tex]

Answer:

9z^2+4x+1

Step-by-step explanation:

Remove parentheses.

7{x}^{2}+4x-1+2{x}^{2}+2

7x  

2

+4x−1+2x  

2

+2

2 Collect like terms.

(7{x}^{2}+2{x}^{2})+4x+(-1+2)

(7x  

2

+2x  

2

)+4x+(−1+2)

3 Simplify.

9{x}^{2}+4x+1

9x  

2

+4x+1

Solution :

It is given in the question that Ben goes to the zoo by walking and then he walks down to the city park. He moves several blocks while walking from his home to the zoo and then to the city park.

The figure is provided below.

So from the picture, the least number of blocks that Ben had walked from his home to the city park can be found out by counting the number of blocks he moved.

So the least number of blocks will be = 19

Answer:

(x2 +2x+1)+(y2+4y)=31+1

(x+1)2 +(y2+4y)=32

(x+1)2 +(y2+4y+4)=32+4

(x+1)2 +(y+2)2=36

The equation can be written in the form (x-p)2 +(y-q)2=r2

so it represents a circle with the radius r=6  and the center (-1,-2)

Step-by-step explanation:

Answer:

6 units is the amswer

Step-by-step explanation:

here you gooo

Answer:

3.5

Step-by-step explanation:

Answer:

x/4+13

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1 because the circumference is the diameter x pi. Since the circumference is 3.14, and 3.14 divided by 3.14 is 1, then the diameter is 1.

Answer:

The slope is 1/8.

Step-by-step explanation:

So basically, when we are trying to find slope, we think of the change of y over the change of x. And so the change of y between those two points would be 4-2 which is 2. And the change of x would be 32-16, which is 16. Because slope is y/x, therefore the slope is 2/16, which is also 1/8 simplified. I hope this helps!

Answer:

Step-by-step explanation:

Answer:

12 inches

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

As a right triangle, it follows the Pathagorem Therom. All you have to do is multiply 15 x 15 = 225 and 20 x 20 = 400, then finally, you would do 25 x 25, which is the biggest number of all, and get 625. Since 225 + 400 = 625, this follows the Pathagorem Therom.

Step-by-step explanation:

2x+y= 12

= 12,18

= 36

so the value of y is 36

value of x is 48

Answer:

what

Step-by-step explanation:

Answer:

I really wanted to help you but the code is an error when I tried to put the link insorry.

Answer:

(0,0), (10,6) (15,9)

Step-by-step explanation:

Answer:

Origin(0,0)

First point(2.5,1.5)

2nd point (5,3)

3rd point(10,6)

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Given :

[tex]f(x) = -\frac{3}{8} \left(24-\frac{32}{x}\right) -x[/tex]

We have to find f ( - 2 ):

Putting x = - 2 in f ( x ) we get :

[tex]f(-2) = -\frac{3}{8} \left(24-\frac{32}{-2}\right) -(-2)\\[/tex]

[tex]\implies f(-2) = -\frac{3}{8} \left(24-( -16)\right) +4 \\[/tex]

[tex]\implies f(-2) = -\frac{3}{8} \left(40\right) +4 \\[/tex]

[tex]\implies f(-2) = -3\times \left(5\right) +4[/tex]

[tex]\implies f(-2) = -15 +4[/tex]

[tex]\implies f(-2) = -11[/tex]

Therefore value of f ( - 2 ) is - 11.

9514 1404 393

Answer:

  -13

Step-by-step explanation:

Put -2 where x is and do the arithmetic.

  [tex]f(x)=-\dfrac{3}{8}\left(24-\dfrac{32}{x}\right)-x\qquad\text{given}\\\\f(-2)=-\dfrac{3}{8}\left(24-\dfrac{32}{-2}\right)-(-2)=-\dfrac{3}{8}(24+16)+2\\\\f(-2)=-15+2=\boxed{-13}[/tex]

Answer:

if it rains 7 out of 10 days the chance of rain for one day is 70%

Step-by-step explanation:

Answer:

70 mb

Step-by-step explanation:

264 picture = 528 mb

35 pictures = ?

Solve for one picture:

Variable x = mb per 1 picture

264/528 = 1/x

Cross multiply:

264 × x = 528 × 1

264x = 528

x = 528 ÷ 264

x = 2

Each picture takes up 2 mb.

Multiply the number of pictures per 2 mb:

35 pictures × 2 mb

70 mb total

Answer:

A. & B. are the corect answers

Step-by-step explanation:

Answer:

A and B

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Step-by-step explanation:

x:y is 1:3

=>  y is bigger than x

=>  y is 3x bigger than x

=>  y = 3 lots of x

=>  [tex]y =[/tex] [tex]3x[/tex]

=>  [tex]\frac{y}{3}[/tex] [tex]= x[/tex]

=>  [tex]\frac{1}{3} y[/tex] [tex]= x[/tex]

So x is [tex]\frac{1}{3}[/tex] of y

y is [tex]\frac{3}{4}[/tex] of (x+y)

If x = 1 and y = 3 (substitute in values)

=>  3 is [tex]\frac{3}{4}[/tex] of (4)

=>  3 is [tex]\frac{3}{4}[/tex](4)

=>  3 is ([tex]\frac{3}{4}[/tex]x4)

=>  3 = 3

Therefore, y is [tex]\frac{3}{4}[/tex] of (x+y) is true

So the answers are:

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Answer:

-1,-6

Step-by-step explanation:

The reflection of point P=(-1,6) across the x-axis is the point (-1,-6).

In mathematics, reflection is a transformation that flips a shape, point, or object over a line, plane, or point. Reflection is also known as flipping, mirroring, or symmetry.

In two-dimensional geometry, the most common type of reflection is a mirror reflection, which involves flipping a shape or point over a line (known as the line of reflection) to create a mirror image. The line of reflection acts as a mirror, and the shape or point is reflected in the mirror as if it were a real reflection.

To find the reflection of the point P=(-1,6) across the x-axis, we can use the following formula:

Rx-axis(P) = (x, -y)

where x is the x-coordinate of P, and y is the y-coordinate of P.

In this case, the x-coordinate of P is -1, and the y-coordinate of P is 6. Therefore, the reflection of P across the x-axis, Rx-axis(P), is:

Rx-axis(P) = (-1, -6)

So the reflection of point P=(-1,6) across the x-axis is the point (-1,-6).

To know more about reflection follow

https://brainly.com/question/20750065

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Answer: 68.5 pounds

Step-by-step explanation:

he grew 1.5 inches, or 6/4 inches, a total of 6 1/4 inches. 6*(3/4) = 4.5.

If he gained 4.5 pounds, then he would be 64 + 4.5 = 68.5 pounds

Answer:

68.5 pounds

Step-by-step explanation:

hope this helps you!