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2 years ago

Given h (x) = -2x - 4, solve for x when h (x) =6.

Mathematics

1 answer:

anygoal [31]2 years ago

6 0

Answer:

(x = -20) if what your saying is 6 = -2x - 4 and (x = -16) if what your saying is x = -2 x 6 - 4

Step-by-step explanation:

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I need help.. with this worksheet

ipn [44]

8. $298 4. 250 9. 28 6. 8.7 5. 465

3 0

2 years ago

50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

2 years ago

Setting:

nata0808 [166]

A. Mr. Kent interviewed the 54 students as they are going to leave the school, it is not considered to be a random sample. It is because a random sample is when a set is taken from a population. Mr. Kent interviewed the 54 who are going to leave, meaning, he didn't take a set out of that 54, he took all of them. So it is not a random sample.

b. The question that Mr. Kent asked is considered to be a leading question, so it does not seem biased.

c. If there are 54 respondents.
51 = yes, the rest is no.
= 54 - 51 = 3
= 3 is now divided to 54 = 3/54
= giving an answer of 0.0555
= 0.0555 x 100
= 5.6%
= The percent of responses that says 'no' is 5.6%

6 0

3 years ago

Read 2 more answers

What is the inverse of the function F (X) equals 2X +1

Liono4ka [1.6K]

Answer: $f^{-1}(x)=\frac{x-1}{2}$

Step-by-step explanation:

To find the inverse of a function start by replacing f(x) with x and replace the original x with y.

$f(x)=2x+1\\x=2y+1$

Now solve for y

$x=2y+1\\x-1=2y+1-1\\x-1=2y\\\frac{x-1}{2} =\frac{2y}{2}\\\frac{x-1}{2} =y$

Finally, replace y with the inverse of f(x), $f^{-1}(x)$

5 0

1 year ago

Eggplant has a yield of 81%. If you purchase 12lb of eggplant, how many pounds will you be able to use?(round to the nearest hun

Aleonysh [2.5K]

Answer:

9.72 lb

Step-by-step explanation:

Yield = the amount or quantity produced or returned.

Given:

Yield of eggplant = 81%
Amount of eggplant purchased = 12 lb

To determine how many pounds of eggplant you will be able to use, calculate 81% of the amount of eggplant purchased.

$\begin{aligned}\sf 81\% \: of \: 12 \: lb & = \sf \dfrac{81}{100} \cdot 12\\\\& = \sf \dfrac{81 \cdot 12}{100}\\\\& = \sf \dfrac{972}{100}\\\\& = \sf 9.72\:lb\end{aligned}$

Therefore, you will be able to use 9.72 lb (nearest hundredth).

Learn more about percentages here:

brainly.com/question/27998542

brainly.com/question/27975347

6 0

6 months ago

Read 2 more answers