2 years ago

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Mathematics

1 answer:

zhannawk [14.2K]2 years ago

8 0

Answer:

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Step-by-step explanation:

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Mrs. Jones wants to cover half of her 5 x 7 rectangular bulletin board with two different colors (white and black) as show in th

Vladimir [108]

5x7=35
35/2= 17.5(whichever unit you’re using)

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2 years ago

Find a cubic function that has the roots 5 and 3-2i

Zolol [24]

Answer:

$P(x)=x^3-11x^2+43x-65$

Step-by-step explanation:

If the complex number $3-2i$ is a root of a cubic function, then the complex number $3+2i$ is a root too. Thus, the cubic function has three known roots $5,\ 3-2i,\ 3+2i$ and can be written as

$P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.$

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2 years ago

Using the double number line shown, for the equation 5x+4=14, what is the value of x?

Alex777 [14]

Correct option is:

B. 2

<h2>Explanation:</h2>

From the double number line shown we can set:

$(1) \ 0x=0 \\ \\ (2) \ x=? \\ \\ (3) \ 5x=10 \\ \\ (4) \ 5x+4=14$

So we can solve this problem by using either equation (3) or (4). So, choosing equation (3):

$5x=10 \\ \\ \\ Divide \ both \ sides \ by \ 5: \\ \\ x=\frac{10}{5} \\ \\ \boxed{x=2}$

<h2>Learn more:</h2>

Solving equations: brainly.com/question/7747308

#LearnWithBrainly

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3 years ago

An animal shelter has 43 dogs and 35 cats for adoption. Fifteen dogs are adopted. How many animals still need a home?

zavuch27 [327]

I hope this helps you! :)

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2 years ago

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How do you determine if a table shows a proportional relationship or not?

OleMash [197]

Answer:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

Step-by-step explanation:

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