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3 years ago

H(x)=4-2x find h (-3)

Mathematics

1 answer:

olasank [31]3 years ago

4 0

Answer:

Step-by-step explanation:

h(x) = 4 - 2x

h(-3) = 4 - 2*(-3)

= 4 + 6

= 10

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If f(2) = 13 and f '(x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be?

timofeeve [1]

Answer:

Step-by-step explanation:

We are given that

f(2)=13

$f'(x)\geq 2$

$2\leq x\leq 7$

We have to find the possible small value of f(7).

We know that

$f'(x)=\frac{f(b)-f(a)}{b-a}$

Using the formula

$f'(x)=\frac{f(7)-f(2)}{7-2}$

$f'(x)=\frac{f(7)-13}{5}$

We have

$f'(x)\geq 2$

$\frac{f(7)-13}{5}\geq 2$

$f(7)-13\geq 2\times 5$

$f(7)-13\geq 10$

$f(7)\geq 10+13$

$f(7)\geq 23$

The small value of f(7) can be 23.

3 0

3 years ago

Daniel fish tank holds 24 L of water he uses a 4 L bucket to fill the tank how many buckets of water are needed to fill the tank

Zigmanuir [339]

Answer:

6 buckets have to be filled, put in tank and refilled.

Step-by-step explanation:

Volume = 24 L

Volume Container = 4 L

Number of buckets = Fish Tank Volume / volume of container

Number of buckets = 24 / 4

Number of bucket refills = 6

5 0

3 years ago

Can anybody help with this one, I am really tired and can't figure it out :) -5/6x = -4.5713 find x

ddd [48]

I hope this helped you just follow the steps if you need help again

8 0

4 years ago

Given A(-3, 4), B(0, 1), and C(4,2), reflect as follows: Ry-axis(ABC). What is B

lions [1.4K]

That’s answer is A)-3,4) because you reflect as follows

6 0

3 years ago

Dana enters a race where she has to cycle and run. She cycles a distance of 25km and then runs for 20km. Her average running spe

WARRIOR [948]

Step-by-step explanation:

Let running speed = x.

So, cycling speed = 2x.

Total distance traveled = 20 + 25 = 45km

Time taken running = 20/x

Time taken cycling = 25/2c

Total time taken = 5 hours

So, 5 = 20/x + 25/2x

Solving this equation for x gives:

10x = 65. Thus x = 6.5

Since cycling speed = 2x, cycling speed = (6.5)(2)

So cycling speed is 13 km/h.

Hope it helps.

8 0

3 years ago