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mart [117]
3 years ago
13

Brainliest 70 Points! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.

Mathematics
1 answer:
Schach [20]3 years ago
8 0
F(x) = 7x - 1
Since it’s translated down 4 units, subtract 4 from the y intercept.
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The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = −
marysya [2.9K]

Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

P(x)=-15x(x-8)

To find:

The current which will produce the maximum power.

Solution:

We have,

P(x)=-15x(x-8)

P(x)=-15x^2+120x

Differentiate with respect to x.

P'(x)=-15(2x)+120(1)

P'(x)=-30x+120      ...(i)

To find the extreme point equate P'(x)=0.

-30x+120=0

-30x=-120

Divide both sides by -30.

x=4

Differentiate (i) with respect to x.

P'(x)=-30(1)+(0)

P'(x)=-30 (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

7 0
3 years ago
ONLY ANSWER IF YOU KNOW THE ANSWER JUST FOR POINTS. Thank you! :)
Ksivusya [100]
Since triangle DEF = triangle JKL, m<D = m<J, m<E = m<K, m<F = m<L.
m<F = m<L = 90 degrees
m<K = m<E = 5(m<D)
but m<E + m<D = 90 degrees        [right angled triangle]
5(m<D) + m<D = 90 degrees
6(m<D) = 90 degrees
m<D = 90 / 6 = 15 degrees.
5 0
3 years ago
Read 2 more answers
logan mader 4 stacks of wooden blocks, the first tackswas 6 blocks tall,the second stacks was 2 blocks taller than the first, th
Arada [10]
6+8+6+16= b)36 blocks
4 0
3 years ago
72x9 dived by 6 because I'm doing a problem
luda_lava [24]

Answer:

648

Step-by-step explanation:

You can use a calculator or break it into smaller problems, then add them together

6 0
3 years ago
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Martina drove 385 miles in 7 hours. at the same rate, how long would it take her to drive 495 miles?
Anarel [89]

385/7 = 495/x

Answer: 9 hours

5 0
3 years ago
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