Let f(x)= x^2+1. Find and simplify the following:

(a) f(x-4)=
(b) f(x-4)-f(-4)

Answer:

B

Step-by-step explanation:

That was actually trickier than I thought it would be

I was looking for 4(x-4),   but 4(x-2)(x+2) also works

Answer:

4(x - 2)(x + 2)  (Answer B)

Step-by-step explanation:

4x^2 - 16 is the difference of two squares, a case in which there is a simple formula to remember:  a^2 - b^2 = (a - b)(a + b)

4x^2 - 16 = (2x - 4)(2x + 4)

This can be further simplified:  2(x - 2)(2)(x + 2) = 4(x - 2)(x + 2)  (Answer B)

Answer:

I highly think it's D. [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Answer:

30 cm^2

Step-by-step explanation:

Answer:

y=0x + 2

Step-by-step explanation:

since the y-values are all the same, the line is horizontal. Horizontal lines always fall in the form of y = the common y-value.

Answer:

No, they are the same triangles

Step-by-step explanation:

They both have a side length of 3 and 5 and an angle that measures 60 degrees. The triangles are just flipped in different directions.

If they were to draw an additional triangle that would make it seem different, they could expand the angle and make it obtuse to get a triangle with 1 wide corner.

Answer:

I think it's 8

Step-by-step explanation:

Because it's half of it, you can tell by the image. RT is 16 and RU is 8

Answer:

.5

Step-by-step explanation:

30 miles a hour divide by 60 so your going half a mile a minute

Your speed in feet per minute is 2640 ft/min.

A unit rate means a rate for one of something.

Given that, Your rate of speed is 30 miles for every 1 hour

We know, 1 mile = 5280 feet

Therefore, 30 miles = 30x5280 = 158400 feet

That means, you are travelling 158400 feet for every hour

In an hour, there are 60 minutes,

Therefore, you are travelling 158400 feet in every 60 minutes.

In 60 minutes = 158400 feet

In 1 minute = 158400/60 = 2640 feet

That means you are travelling 2640 feet in every 1 minute.

Hence, your speed in feet per minute is 2640 ft/min.

For more references on unit rate, click;

https://brainly.com/question/11258929

#SPJ2

Answer:

5/7=W/28

Step-by-step explanation

They won 5 out of 7 played games so that's their win rate. If the same team continued to do this for 28 games then they would win 20 times.

Answer:

D

Step-by-step explanation:

Answer:

4

6

8

9

10

12

14

Step-by-step explanation:

any number that is not a prime number

Answer:

2,3,4,5,6,7,8

Make me brainliesttt :))

Answer:

x=2

divide everything by 7. 14/7= x=2

Step-by-step explanation:

Answer:

a. Koby only

Step-by-step explanation:

KOBY

[tex]\frac{w^{3}*w^{5} }{ (w^{2} )^{4}} =\frac{w^{3+5} }{w^{2*4} } =\frac{w^{8}}{w^{8} } =1[/tex]

PAULO

[tex](m^{5} )^{2}*(m^{-3} )^{3}=m^{5*2} *m^{-3*3}=m^{10}*m^{-9}=m^{10-9}=m^1=m[/tex]

Answer:

Step-by-step explanation:

1

2

3

4

Answer:

0.4325 = 43.25% probability that the mouse weighs less than 722 grams

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 726 grams and a standard deviation of 23 grams.

This means that [tex]\mu = 726, \sigma = 23[/tex]

a) What is the probability that the mouse weighs less than 722 grams

This is the p-value of Z when X = 722. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{722 - 726}{23}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a p-value of 0.4325

0.4325 = 43.25% probability that the mouse weighs less than 722 grams

Answer:

Lin's father pay for the meal is $18.19

Step-by-step explanation:

Given:

Lin’s father is paying for a $20 meal.

He has a 15%-off coupon for the meal.

After the discount, a 7% sales tax is applied.

Now, to get the amount Lin's father pay for meal.

So, we deduct the 15% discount first:

$20 - 15% of $20.

Then, adding 7% sales tax:

$17 + 7% of $17

Therefore, Lin's father pay for the meal is $18.19.

Answer: There were two sloutions either y= -1/4= -0.250 or y=2

Answer:

A = 4πcm, 6πcm²

B = 45°, 35πcm²

C = 12m, 18.7πm or 19πm

Step-by-step explanation:

Formulas used...

Length of an arc of a sector = (¢/360)×2πr

Area of sector = (¢/360)×πr²

¢ means the angle given or used

Answer:

corporation C owns the most land

Step-by-step explanation:

hope it helps

Answer:

625 sq ft.

Step-by-step explanation:

25 cm is close to 25.3 so our estimate is 25 * 25 = 625.

Answer:

If you want to know the process on how to graph and shade, start by graphing the inequalities. Assume that the inequality signs are just =, so the equation is y=mx+b. Let's use 1) as an example. When the sign is < or >, it's a dotted line. If the sign is ≥ or ≤, it's a solid line. Once you're done graphing the inequalities, choose a random coordinate on the graph. Let's use (0,0). Now, plug in the x- and y-value into the equations. 0<-6(0)+3 and 0≤0-2. Simplify it to get 0<3 and 0≤-2. Because the inequality is true for y<-6x+3, you would shade the side of the graph that includes (0,0). Because the inequality isn't true for y≤-x-2, you would shade the side of the graph that doesn't include (0,0). The shaded parts of both inequalities should overlap somewhere and that's the area you need to officially shade.

Here's the worked example:

If you are still confused, feel free to ask! :)

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Hope this helps !!

Step-by-step explanation:

Answer:

It's A I believe

Step-by-step explanation:

Answer:

D, 1056 Cubic inches

Step-by-step explanation:

Multiply 11x16 to get the 2-d area of it's base. after multiply by 8 to get its hieght. You have the volume of the shape with the step-down filled. To find the volume with the step down empty, divide by 4 to get the area of 1/4. then multiply by 3 to find 3/4 of the rectangular prism

{[(11×16×8)÷4]3}     <== Equation

9514 1404 393

Answer:

  99°

Step-by-step explanation:

Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...

  360° -136° -125° = 99° . . . . measure of arc XZ

Answer:

Solution given:

<x=68°

arc XY=125°

arc XZ=?

we have

<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

<W=180°-68°=112°

Now

arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]

arc YZ=224°

arc XY +arc YZ=224°

125°+arc YZ=224°

arc YZ=224°-125°

arc YZ=99°

the measure of the arc or angle indicated is 99°.

Answer:

the area of the mat = total area added minus the original area of the water color painting.

Step-by-step explanation:

length of the mat is:L = 20 in + 1 in + 1 in because 1 in  is added to each sideL = 22 inwidth of the mat is:w = 9 in + 1 in + 1inw = 11 in

Area mat = (22 in x 11 in) - ( 20 in x 9 in)

area mat = 62 sq in is the area of the mat

Answer:

He made a mistake in step 2

Step-by-step explanation:

-3x does not equal 6 it clearly states it equals 1