which of the following is equal to the rational expression when x ≠ -1 or -7

Answer:

Step-by-step explanation:

0.35

0.453

4/5

Answer: -7, -1, 5, -5

Step-by-step explanation:

In order to find the inverse, swap the x's and y's and solve for y.

[tex]y=\dfrac{5x+1}{-x+7}\\\\\\\underline{Swap\ the\ x's\ and\ y's}:\\x=\dfrac{5y+1}{-y+7}\\\\\\\underline{\text{Multiply both sides by -y+1 to clear the denominator}}:\\x(-y+7)=5y+1\\-xy+7x=5y+1\\\\\\\underline{\text{Add xy and subtract 1 from both sides}}:\\7x-1=xy+5y\\\\\\\underline{\text{Factor out the y from the right side}}:\\7x-1=y(x+5)\\\\\\\underline{\text{Divide x+5 from both sides}}:\\\dfrac{7x-1}{x+5}=y[/tex]

Since the boxes you need to fill in show -x in the denominator, multiply the equation by -1/-1:

[tex]y=\dfrac{-1}{-1}\bigg(\dfrac{7x+1}{x+5}\bigg)\\\\\\\large\boxed{f^{-1}(x)=\dfrac{-7x-1}{-x-5}\qquad for\ x \neq -5}[/tex]

Answer:

17

Step-by-step explanation:

Plot in the points for each variable to find the y-intercept.

1=-4(4)+c

1=-16+c

1+16=c

17=c

9=-4(2)+c

9=-8+c

9+8=c

17=c

Answer:

Step-by-step explanation:

Given:

2 Points

(4,1) and

(2,9)

Slope

m = (y2 - y1)/(x2 - x1)

y2 = 9

y1 = 1

x2 = 2

x1 = 4

m = (9 - 1) / (2 - 4)

m = 8 / - 2

m = - 4

y intercept

y = mx + b

y = -4x + b

Use (9, 1) to find the y intercept

1 = - 4*9 + b

1 = - 36 + b

b = 37

Answer

The equation is y = - 4x + 37

Answer:

y=x_1 is the solution of system

Answer:

-4/7, -1/19, 7/4

Step-by-step explanation:

The fractions converted into decimals would be -0.05, 1.75, -0.57

Answer:

x = -9

Step-by-step explanation:

-7x = 63

Divide -7 into both sides.

-7x/-7 = 63/-7

x = 63/-7

x = -9

Put x as -9 in the function to check.

h(x) = -7x

h(-9) = -7(-9)

h(-9) = 63

Answer:

x = -9

Step-by-step explanation:

h(x)=−7x ; h(x)=63

Set the two equal

-7x = 63

Divide by -7

-7x/-7 = 63/-7

x = -9

Answer:

-2

Step-by-step explanation:

The y intercept is where the graph crosses the y axis. The graph crosses the y axis at (0, -2), so the y intercept is -2.

The y intercept is useful in slope intercept form, (y=mx+b), where b is the y intercept.

Answer: -2

Step-by-step explanation: The y-intercept of a graph is where the graph crosses or intersects the y-axis.

Notice that the graph shown here hits the y-axis at -2.

So the y-intercept of this graph is -2.

Answer:

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

ANSWER

x =  { - 20}{7}

y={ 4}{7}

Step-by-step explanation:

Step-by-step explanation:

X= raspberry

X = 600 ÷ 11 = 54 batches

[ 60 minutes = 1 hour]

[600 minutes = 10 hours]

Y = peach

Y = 600 ÷ 8 = 75 batches

Answer:

its b

Step-by-step explanation:

it just is

Answer:

C. 5

Step-by-step explanation:

XY= -1-(-5)= 4

ZA= A-1= 4 ⇒ A=1+4= 5

A=5

Answer:

Part A:

x = 80 degrees

Part B:

A => Corresponding Angles (They correspond to each other)

Hope This Helps!

Don't hesitate asking anything regarding this!

Answer:

m = 8 and c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x ← is in slope- intercept form, that is y = 8x + 0

with m = 8 and c = 0

Answer:

Selling price of 5 gives the maximum profit

Step-by-step explanation:

What we do here is to find the first derivative, since at maximum points, the profit will be set to zero.

Mathematically, we have;

dp/dx = -120x + 600

We now equate this to zero

0 = -120x + 600

120x = 600

x = 600/120

x = 5

Answer: -3 and 7

Step-by-step explanation:

x - 7

Add 7 to get 0

x - 7 ( + 7) = 0

x + 3

Subtract 3 to get 0

x + 3 ( - 3) = 0

Answer:

Step-by-step explanation:

We'll call height h.

The equations of a cone and sphere are:

Cones: 1/3 * base area * h

Spheres: 4/3 π * r³

The base area of a cone would be the area of a circle equation:

π * r² = π * 2² = 4π.

Because you're converting from sphere to cone, you would set their equations equal to each other.

1/3 * 4π * h = 4/3 π * 5³

Next, isolate h.

h = (4/3 π * 5³)/(1/3 * 4π)

h = 125

Hope this helps!

Answer:125

Step-by-step explanation:

Answer:

palindromes

Step-by-step explanation:

palindromes are spelled the same forward and backward, thus have vertical symmetry.

Answer:

Option A

Step-by-step explanation:

Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;

[tex]3x - 5 = 4 + 8x[/tex]

where x = " the number "

[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]

If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.

Answer:

A=1.5 units²

Step-by-step explanation:

a²+b²=c²

2.5²+1.5²=c²

a²+2.25=6.25

a²=4.00

a=2

A=1/2 x b x h

A=1/2 x 1.5 x 2

A=1.5 units²

Answer:

1.5

Step-by-step explanation:

Use the pythagorean theorem.  a^2+b^2=c^2.  a and b are the legs, or the shorter sides of the triangle.  If you don't know which ones are shorter, just know that c is opposite of the right angle which is 2.5 in this case.  So c is 2.5 and a is 1.5.  Now you plug the values into the equation

1.5^2+b^2=2.5^2

2.25+b^2= 6.25 .Simplify the equation

b^2= 4 .Subtract 2.25 from both sides.

b= 2.  Square root both sides.  

Based on the picture, a is the base and b is the height.  The area of a triangle is 1/2(bh) .You already know the base and height you you plug it in again

1/2(1.5*2)= 1/2(3)= 1.5  

Answer:

5 people have pink cups

Step-by-step explanation:

10-5=5

:D

Answer:

5

Step-by-step explanation:

10-5=5

^--^

Answer:

y = -1/2x + 2

Step-by-step explanation:

If two lines are perpendicular then the product of their slopes are -1

m1*m2 = -1

where m1 amd m2 is slope of two lines.

_______________________________________

Given line

y = 2x-3\

it is in form of y = mx+c (slope intercept form)

where m is slope and c is y intercept

Thus, slope of line  y = 2x-3 is 2

Now we know that product of two lines are -1

let m be slope of other line

then m*2 = -1

m = -1/2

thus, slope of required line is -1/2

let the line be y = mx+c but m = -1/2

thus

y = -1/2 x + c

given that point(-6,5) lies on it

we use -6 in plca of x and 5 in place of y

5 = -1/2 *-6 + c

=>5 = 3 +c

=> c = 5-3 = 2

Thus, equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5) is y = -1/2x + 2

Answer:

From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees

Step-by-step explanation:

Given that the triangles are eight in number we have;

1)  (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down

2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns

3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top

4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°

5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew

6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.

Answer:

B

Step-by-step explanation:

The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.

Answer:

4√5

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Coordinates given:

H(8, 1)

G(0, -3)

d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5

Answer:

StartRoot 80 EndRoot

80 square root is the answer

Step-by-step explanation:

|GH|² = (8 - 0)² + (1 - (-3))²

|GH|² = 64 + 16

|GH|² = 80

GH = sqrt(80)

pls mark as brainliest

Answer:

True

Step-by-step explanation:

The distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].

The given points are  (1, 2) and [tex](x_{1} , y_{1})[/tex] .

We to find the distance between the given points.

The formula to find the distance between points is [tex]\sqrt{(x_{1}-x_{2} )^{2}-(y_{1}-y_{2} )^{2} }[/tex].

Now, [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex]

Therefore, the distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].

To learn more about the distance between the points visit:

https://brainly.com/question/15958176.

#SPJ2

Step-by-step explanation:

(-2)-(+15)=(-17)

the difference between those two temperature s is (-17)

Answer:

a. cone. Since it's the only shape with one base and a vertex not on the same plane

Answer:

Step-by-step explanation:

Depends on what you mean by multiplying by - 1.  I assume you are not going to multiply the y or f(x) term by - 1.

If that is so, take an example. Suppose you have a graph that is y=x^2

That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.

When you multiply the right hand side by - 1, the graph you get will be y = - x^2.

That opens downward and the focus is on the - y axis.

That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.

Answer:

c

Step-by-step explanation:

ape x

Answer:

0.50

Step-by-step explanation:

Simply plug -2 in for x into the equation.

2(2^-2) = 0.50

Answer:

0.50

Step-by-step explanation: