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3 years ago

F(x) = -2x - 1; Find f (x - 4)

Mathematics

1 answer:

qaws [65]3 years ago

5 0

Answer:

if f(x-4) then we should put x-4 where the x is spouse to be so;

-2(x-4)-1 =

-2x + 8 - 1 =

-2x + 7

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Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0

4 years ago

The fraction of men in a population who are married is 2/3. The fraction of women in the population who are married is 3/5. What

ANEK [815]

Answer:

7/19 of the population is single

Step-by-step explanation:

First of all, we must make some assumption about the number of married men versus the number of married women. Here, we will assume they are the same number. (Either men are married to women, or the number of gay male marriages is the same as the number of gay female mariages, or both.)

Let m and w represent the numbers of men and women in the population. Then our assumption (above) tells us ...

2/3m = 3/5w

Multiplying by 5/3, we get

w = 10/9m

So, the fraction of the population that is single is ...

(unmarried men + unmarried women)/(men + women)

((1 -2/3)m + (1 -3/5)w) / (m + w)

= (1/3m + 2/5(10/9m) / (m + 10/9m)

= (3/9 + 4/9) / (19/9) . . . . . let m cancel, simplify fractions a bit

= 7/19 . . . . fraction that is single

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3 years ago

Match the expressions to their verbal descriptions. Assume that all variables represent integer values and that none are equal t

Nostrana [21]

The expression for the sum of m and a term depending on m will be m + 3(m - 11)².

<h3>How to depict the expressions?</h3>

The product of m and a multiple of m will be m(-8m).

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The difference between n and a factor depending on m will be:

m(2mn) - 6m.
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brainly.com/question/12197321

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2 years ago

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Licemer1 [7]

Answer:

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Step-by-step explanation:

Please use the word "subtraction" or "less ... " or similar.

8x^2+x-10 less -5x^2+7x+1 is

8X^2 + x - 10

-(-5x^2+7x+ 1)

-----------------------

13x^2- 6x - 9

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3 years ago

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3 years ago