3 years ago

If f(x)=x²+3x+5, what is f(3+h)?

1 answer:

8 0

You have to substitute 3+h for x, then work out the equation.

(3+h)^2 + 3(3+h) + 5 = 9 + 6h + h^2 + 9 + 3h + 5 =

h^2 + 9h + 23

Answer B.

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The skateboard ramp has a width of 20 and a height of 16. What is its slope ( not to scale) ?

slega [8]

Answer:

25.61 ?

Step-by-step explanation:

use Pythagoreans theorem

a^2+b^2=c^2

20^2+16^2=656

sqrt 656=25.61

4 0

2 years ago

the first term of an arithmetic sequence is 2 and the sum of the first 15 terms is 292.5. Find the common difference

adelina 88 [10]

Given:

First term of an arithmetic sequence is 2.

Sum of first 15 terms = 292.5

To find:

The common difference.

Solution:

We have,

First term: $a=2$

Sum of first 15 terms: $S_{15}=292.5$

The formula of sum of first n terms of an AP is

$S_n=\dfrac{n}{2}[2a+(n-1)d]$

Where, a is first term and d is common difference.

Putting $S_{15}=292.5$ , n=15 and a=2 in the above formula, we get

$292.5=\dfrac{15}{2}[2(2)+(15-1)d]$

$292.5=\dfrac{15}{2}[4+14d]$

$292.5=15[2+7d]$

Divide both sides by 15.

$\dfrac{292.5}{15}=2+7d$

$19.5=2+7d$

$19.5-2=7d$

$17.5=7d$

Dividing both sides by 7, we get

$\dfrac{17.5}{7}=d$

$2.5=d$

Therefore, the common difference is 2.5.

8 0

3 years ago

I NEED HELP PLZ!!!!!!!!!!!!<br><br>Find the volume of the prism.

GrogVix [38]

Answer:

210 cm cubed

Step-by-step explanation:

5 x 6 x 7 = 210

7 0

2 years ago

The sanchez family goes out for dinner, and the price of the meals is $60. The sales tax on the Meals is 7 percent, and they als

dem82 [27]

Answer:

73.3

Step-by-step explanation:

7%=7÷100=0.07 ×60=4.2

15%=15÷100=0.15×60=9

add you answers to 60 and to should get 73.2

5 0

3 years ago

Can an expert help with this

SVEN [57.7K]

The formula of an area of a circle:

$A_O=\pi r^2$

We have

r = 1.8 m

π ≈ 3.14

Substitute:

$A_O=\pi\cdot1.8^2=3.24\pi\ m^2\approx3.24\cdot3.14=10.1736\ m^2\approx10.17\ m^2$

7 0

2 years ago