All categories

3 years ago

The graph of f(x) is shown. What is the value of f (x) when x= -2?

Mathematics

1 answer:

Elden [556K]3 years ago

7 0

C. 3.5
You have to go to -2 on the “X axis” and find the corresponding “Y” value on the line.

You might be interested in

At a sale this week, a desk is being sold for $336. This is a 36% discount from the original price.

8090 [49]

Answer:

$525

Step-by-step explanation:

We can find the original price by using the formula x - 0.36x = 336, where x is the original price, 0.36 is the discount percentage (converted to decimal form), and 336 is the total amount paid after the discount is applied:

$x-0.36x=336\\0.64x=336\\x=525$

To check and further understand why the formula works, we can simply apply the discount to the original price and subtract the number from the original price:

525 * 0.36 = 189

525 - 189 = 336

Modeling the first formula gives us:

525 - (0.36 * 525) = 336

525 - 189 = 336

6 0

1 year ago

A shopper bought a 12-pound bag of oranges for 18.75. What is the unit price per ounce?

noname [10]

Answer:

About $0.10 per ounce

Step-by-step explanation:

12 pound costs $18.75. Lets find the cost per pound first:

Cost Per Pound = $\frac{18.75}{12}=1.5625$

We know, there are 16 ounces in 1 pound.

We know 1 pound costs 1.5625

To find cost per ounce, we have to divide this by 16.

So,

Cost Per Ounce = $\frac{1.5625}{16}=0.097$

Rounded to nearest cent, that would be 10 cents per ounce

5 0

3 years ago

A particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint. To make the correct shade,

frutty [35]

We get that Shannon did not mix the correct shade as the ratios are not equal.

We are given that a particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint.

This means that the ratio of the paints in that shade is

Red : Blue = 5 : 7.

Now, we are also given that to make the correct shade, Shannon makes 12 quarts of blue paint with 8 quarts of red paint.

Here the ratio becomes:

Red : Blue = 8 : 12

= 4 : 6

= 2 : 3

Now, since both the ratios are not equal, he did not mix the correct shade.

Therefore, we get that Shannon did not mix the correct shade as the ratios are not equal.

Learn more about ratios here:

brainly.com/question/2784798

#SPJ9

5 0

1 year ago

Two vertical poles of lengths 11 ft and 14 ft stand 16 ft apart. A cable reaches from the top of one pole to some point on the g

Alex17521 [72]

We are given

total length of cable is 30 feet

and this cable is on hypotenuse sides of the triangles

so, we can draw triangle as

Let's assume those hypotenuse as 'a' and 'b'

so, we will have

$a+b=30$

now, we can find 'a' and 'b' from triangle

Smaller triangle:

$a=\sqrt{x^2+11^2}$

Larger triangle:

$b=\sqrt{(16-x)^2+14^2}$

we know that

$a+b=30$

so, we can plug this value

and we get

$\sqrt{x^2+11^2}+\sqrt{(16-x)^2+14^2} =30$

now, we can solve for x

$\left(\sqrt{x^2+11^2}\right)^2=\left(30-\sqrt{\left(16-x\right)^2+14^2}\right)^2$

$32x-1231=-60\sqrt{x^2-32x+452}$

$1024x^2-78784x+1515361=3600x^2-115200x+1627200$

now, we can use quadratic formula

we get

$x=\frac{-\sqrt{36416^2-1152389056}+36416}{5152},\:x=\frac{\sqrt{36416^2-1152389056}+36416}{5152}$

$x=4.510,x=9.627$

so,

The point should be located 4.510 feet , 9.627 feet from the smaller pole to use 30 feet cable............Answer

6 0

3 years ago

Determine whether the improper integral converges or diverges, and find the value if it converges.

salantis [7]

Answer:

Integral will be diverging in nature

Step-by-step explanation:

We have given integral $\int_{5}^{\infty}\frac{3}{2}x^2dx$

Now after solving the integral

$[\frac{3}{2}\frac{x^3}{3}]$ limit from 5 to infinite

So $[\frac{3}{2}\frac{\infty^3}{3}]-[\frac{3}{2}\times \frac{5^3}{3}]=\infty$

As after solving integral we got infinite value so integral will be diverging in nature

7 0

3 years ago