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patriot [66]
2 years ago
8

Which expression is equivalent to 8f+5f?

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
3 0

The answer is

8f+5f

=13f

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What is the value of x?​
exis [7]

Step-by-step explanation:

x-4+3x+100=180

4x+96=180

4x=84

x=21

4 0
3 years ago
Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at
Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x  - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

The given function is f(x) = a·x³ + b·x² + c·x + d

By differentiation, we have;

3·a·x² + 2·b·x + c = 0

3·a·(-3)² + 2·b·(-3) + c = 0

3·a·9 - 6·b + c = 0

27·a - 6·b + c = 0

3·a·(1)² + 2·b·(1) + c = 0

3·a + 2·b + c = 0

a·(-3)³ + b·(-3)² + c·(-3) + d = -3

-27·a + 9·b - 3·c + d = -3...(1)

a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

Therefore, we have;

27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

4 0
2 years ago
The distance to small lake is 3/4 the distance to the airport , the distance to the airport is 10 miles what is the distance to
Brrunno [24]

Answer:

7 1/2 miles

Step-by-step explanation:

The distance to the airport is 10 miles

The distance to the lake is 3/4 the distance to the airport

d =3/4 *10

d =30/4 = 7 2/4 = 7 1/2 miles

5 0
2 years ago
Read 2 more answers
Solve for x<br> 3x+5≡0 mod 9
Whitepunk [10]

3x+5=0

3x=0-5

3x=-5

Divide both sides by 3

-1.6666.......

Hope it helps.

As for mod 9, I don't understand.

5 0
2 years ago
Read 2 more answers
6tf &amp; 10ft radius what the answer
guapka [62]
All you have to do is 3.14×6×10 Which is 188.4
4 0
3 years ago
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