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3 years ago

Consider the function ƒ(x) = x2. Which of the following functions shifts ƒ(x) downward 5 units and to the right 3 units?

Mathematics

1 answer:

gtnhenbr [62]3 years ago

6 0

Answer:

Step-by-step explanation:

f(x)=(x+3)2 3 units to the left

f(x)=(x-3)2 3 units to the right

f(x)=(x)2+5 upward 5 units

f(x)=(x)2-5 downward 5 units

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Solve y=5/8b + 10 for b

wolverine [178]

This is quite simply just rearranging for b.

$y= \frac{5}{8}b+10$

$y-10= \frac{5}{8} b$

$b = \frac{y-10}{\frac{5}{8}} = \frac{8(y-10)}{5} = \frac{8y-80}{5}$

7 0

3 years ago

The answer to 5a-2=23

kow [346]

Answer:

a=5

Step-by-step explanation:

To solve, we need to isolate the variable, a

5a-2=23

Add 2 to both sides

5a=25

Divide both sides by 5

a=5

6 0

3 years ago

Read 2 more answers

Which pair of equations represents two perpendicular lines? answers shown in picture.

kolezko [41]

Answer:

y =1/2x+6

y = -2x+2

Step-by-step explanation:

Perpendicular line have slopes that multiply to -1

The slopes are negative reciprocals

-4*4 = 16 not perpendicular

1/2 * -2 = -1 perpendicular

1/5 *5 = 1 not perpendicular

2/3 * 2/3 = 4/9 not perpendicular

3 0

4 years ago

The slope of the line below is -2. Use the coordinates of the labeled point to find the point-slope equation of the line. (4, -6

r-ruslan [8.4K]

Answer:

The point-slope equation of the line is $y = -2x +2$ or $2x+y = 2$

Solution:

Let us assume that the slope is m and the y intercept of the line is b

Hence, $y=m x+b$ --------- (i)

y intercept means we need to find the value of y when x is 0

Here the line passes through point (4,-6) and slope m = (-2)

Now putting the point (4,-6) in equation (i) we get,

$\Rightarrow-6 = m\times4 +b$

$\Rightarrow-6 = (-2)\times4 +b$

$\Rightarrow-6 = -8 +b$

$\Rightarrow-6+8 =b$

$\Rightarrow b = 2$

So, the equation of the line will be will be $y = -2x +2$ or $2x+y = 2$

6 0

3 years ago

Find the surface area of the composite solid. Round your answer to the nearest hundredth.

horrorfan [7]

Answer:

The answer is

A. 529.66 ft²

Step-by-step explanation:

The picture of the composite figure is not given,

But find attached the figure.

The composite consists of two solid shapes

1. Cylinder

2. Rectangular prism

To solve for the total surface area of the composite

Let us solve for the total surface area of the cylinder

Given radius r= 4ft

Height h=5ft

A= πr²+2πrh-πr²

N/B we subtracted the second circular surface since it is joined to the rectangular prism

A= 3.142*4²+2(3.142)*4*5-3.142*4²

A= 50.272+125.68-50.272

A=125.68ft²

We proceed to find the area of the rectangular prism

We know that the prism has 6 sides

Hence area

A= 2(11*6)+ 2(8*6)+2(11*8)

A= 132+96+176

A= 404ft²

Hence total surface area is

404+125.68= 529.68ft²

7 0

3 years ago