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3 years ago

Let k ( x ) = 2 x + 3 and m ( x ) = 3 x 2 + 7 x − 10 . Find the indicated value. M ( k ( − 4 ) ) =

Mathematics

1 answer:

murzikaleks [220]3 years ago

8 0

Answer: $30$

Step-by-step explanation:

Given

$k(x)=2x+3$

$M(x)=3x^2+7x-10$

$M\left(k(x)\right)$ is given by replacing the $x$ by $k(x)$ from the $M(x)$

$\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38$

Now, $M\left(k(-4)\right)$ is

$\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30$

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<h3>How many steps can she make from the rope?</h3>

To find this, we need to take the quotient between the total length of the rope and the length needed for each step.

She has a total length of 30ft.

For each step she needs (2 + 1/3) ft plus (1/2) ft for each knot, and there are two knots, then each step needs: (2 + 1/3)ft + 2*(1/2)ft = (3 + 1/3) ft.

Then the number of steps that can be made is:

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1 year ago

A binomial probability experiment is conducted with given parameters. Compute the probability of x successes in the n independen

snow_lady [41]

Answer:

P(X = 4) = 0.1876

Step-by-step explanation:

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$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

In this question:

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3 years ago

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andriy [413]

Answer:

Step-by-step explanation:

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4 0

3 years ago

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2t-7-5t=11 what is the answer

Verizon [17]

<span>2t-7-5t=11

Start by combing like terms:

2-5t=-3t

Now we have:

-3t-7=11

Add 7 to both sides

-3t=18

To isolate t we divide both sides by -3

Final answer:
t=-6 </span>

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3 years ago

It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult ma

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Answer:

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We will test the breeder´s claim at 95% ( CI) or significance level

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