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2 years ago

HEELLLPPPP MEEEEE MMAATHH IISS SOO HARRD

Mathematics

2 answers:

Natasha_Volkova [10]2 years ago

8 0

Answer:

When p = 20, n = 600/15 = 40

When = 40, p = 600/40 + 5 = 20

Yes, because an inverse function or an anti function is defined as a function, which can reverse into another function.

Step-by-step explanation:

Alekssandra [29.7K]2 years ago

7 0

Yes it is an inverse because one’s plus five and the other is minus five.

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Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)

zloy xaker [14]

Answer:

$k=0$

$\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}$

$\displaystyle \begin{aligned} k - 3&= \ln \frac{1}{2} - 3 \\ &\approx-3.6931 \end{aligned}$

Step-by-step explanation:

We are given the function:

$\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}$

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

$\displaystyle (20) = 20e^{k(1)}$

Simplify:

$1= e^k$

Anything raised to zero (except for zero) is one. Therefore:

$k=0$

Given that h(1) = 40, we want to find 2k + 1.

Likewise, this means that h(x) = 40 when x = 1. Substitute:

$\displaystyle (40) = 20e^{k(1)}$

Simplify:

$\displaystyle 2 = e^{k}$

We can take the natural log of both sides:

$\displaystyle \ln 2 = \underbrace{k\ln e}_{\ln a^b = b\ln a}$

By definition, ln(e) = 1. Hence:

$\displaystyle k = \ln 2$

Therefore:

$2k+1 = 2\ln 2+ 1 \approx 2.3863$

Given that h(1) = 10, we want to find k - 3.

Again, this meas that h(x) = 10 when x = 1. Substitute:

$\displaystyle (10) = 20e^{k(1)}$

Simplfy:

$\displaystyle \frac{1}{2} = e^k$

Take the natural log of both sides:

$\displaystyle \ln \frac{1}{2} = k\ln e$

Therefore:

$\displaystyle k = \ln \frac{1}{2}$

Therefore:

$\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931$

3 0

3 years ago

F(x)=x2+5x-1 is shifted 3 units left the result is g(x) what is g(x)?

Len [333]

Replace the x in x^2 + 5x - 1 by x+3:-

g(x) =
(x+3)^2 + 5(x+3) - 1

= x^2 + 6x + 9 + 5x + 15 - 1

= x^2 + 11x + 23

- thats g(x)

6 0

3 years ago

If f(x) = (x^2-36)/(x+6) is continuous at x = -6, find f(-6) a)-12 b)12 c)6 d)-6

NeTakaya

Answer:

Step-by-step explanation:

$f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12$

Therefore, the correct answer is choice A. Hope this helps!

7 0

3 years ago

Read 2 more answers

Danielle is using 2 quarts of water in a recipe. How many cups of water is she using ?

Papessa [141]

Answer: 8 cups

Step-by-step explanation:

4 cups to 1 quart, so 2 x 4 = 8

5 0

3 years ago

While baking, Pedro used

ehidna [41]

Answer:

11 cups of flour..... any other questions?

Step-by-step explanation:

6 0

3 years ago