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3 years ago

F(x) = 4x² + 7x – 18 Find f(-9)

Mathematics

1 answer:

IRISSAK [1]3 years ago

6 0

Step-by-step explanation:

f(x) = 4x² + 7x - 18

f(-9) = 4 * (-9)² + 7 * (-9) - 18

= 324 - 63 - 18

= 243

Hope it will help :)

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The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becom

34kurt

Answer:

C. 20

Step-by-step explanation:

Let's say M is the original number of men and W is the original number of women.

M / W = 3 / 5

(M+2) / (W+1) = 2 / 3

Let's cross multiply both equations:

5M = 3W

3(M+2) = 2(W+1)

Let's simplify the second equation:

3M + 6 = 2W + 2

3M + 4 = 2W

From the first equation:

M = 3/5 W

Substitute:

3 (3/5 W) + 4 = 2W

9/5 W + 4 = 2W

4 = 1/5 W

W = 20

There were originally 20 women.

Let's check our answer. That would mean that M = 3/5 W = 12.

After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3. Looks like the answer is correct!

Answer C.

7 0

4 years ago

See attached picture, is there a way to enter equations or algebraic symbols?

coldgirl [10]

SOLUTIONS

Solve a given equations or algebraic symbols?

$\begin{gathered} f(x)=x^2+2x \\ g(x)=1-x^2 \end{gathered}$

(A)

$\begin{gathered} (f+g)(x)=(x^2+2x)+(1-x^2) \\ collect\text{ like terms} \\ x^2-x^2+2x+1 \\ (f+g)(x^)=2x+1 \end{gathered}$

(B)

$\begin{gathered} (f-g)(x)=(x^2+2x)-(1-x^2) \\ =x^2+2x-1+x^2 \\ =x^2+x^2+2x-1 \\ (f-g)(x)=2x^2+2x-1 \end{gathered}$

(C)

$\begin{gathered} fg(x)=(x^2+2x)(1-x^2) \\ =x^2-x^4+2x-2x^3 \\ fg(x)=-x^4-2x^3+x^2+2x \end{gathered}$

(D)

$\begin{gathered} \frac{f}{g}(x)=(x^2+2x)\div(1-x^2) \\ =\frac{x^2+2x}{1-x^2} \end{gathered}$

5 0

1 year ago

Order least to greatest: 1.5, 1.1, .9, 1, 1.7, 1.25

avanturin [10]

Answer:

1,1.1,1.25,1.5,1.7,9

8 0

4 years ago

A friend has a 78% average before the final exam for a course. That score includes everything but the final, which counts for 20

Karolina [17]

Answer:

98%

Step-by-step explanation:

im not real sure but i think thats it if im wrong srry

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4 years ago

2(-3x + 4) + 3x – 3 = -29 Submit Answe

ivolga24 [154]

Answer:

exact form:34/3

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mixed number form: 11 1/3

Step-by-step explanation:

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4 years ago