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3 years ago

Simplify completely: 5+3(x-1)

Mathematics

1 answer:

Olin [163]3 years ago

4 0

Answer:

Step-by-step explanation:

first add 3+5 = 8

then multiply 8 times x and 8 times -1

which is 8x-8

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A local hamburger shop sold a combined total of 575 hamburgers and cheeseburgers on Saturday. There were 75 fewer cheeseburgers

AveGali [126]

Answer:

Step-by-step explanation:

it is right

3 0

2 years ago

I tried to figure it out but i can't. i need to show the work and i don't know how to do it.

Andreas93 [3]

Integration Formula:

$\int\limits {x}^{n} \, dx =\frac{x^{n+1}}{n+1} + C$

Integrate each term:

$\int\ {x^{2}} \, dx = \frac{x^{3}}{3}$

$\int\ {x} \, dx =\frac{x^2}{2}$

$\int\ {5} \, dx = 5x$

$\int\ {x} \, dx =\frac{x^2}{2}$

$\int\ {2} \, dx = 2x$

Altogether this becomes:

$\frac{\frac{x^3}{3} - \frac{x^2}{2}-5x }{ \frac{x^2}{2}+2x}$

Your limits are 1 and 2. Substitute both numbers into the equation and minus them from each other.

x = 2:

$\frac{\frac{2^3}{3} - \frac{2^2}{2}-5(2) }{ \frac{2^2}{2}+2(2)}$

x = 1:

$[tex]\frac{\frac{1}{3} - \frac{1}{2}-5 }{ \frac{1}{2}+2}$ [/tex]

x = 2:

$\frac{\frac{8}{3} - \frac{4}{2}-10 }{ \frac{4}{2}+4}$

x = 1: $\frac{\frac{8}{3} - 2-10 }{ 2+4}$

-1.212317928

Now convert all the answers to integers and see which one matches -1.212317928:

Because it's a negative number, we know it can only be A or B.

(A) = -1.212317928

(B) = -1.19047619

The answer is A: $-\frac{3}{2} +In\frac{4}{3}$

7 0

2 years ago

(100 Points) Given f of x is equal to 10 divided by the quantity x squared minus 7x minus 30, which of the following is true?

ikadub [295]

Answer:

f(x) is positive for all x > 10

Step-by-step explanation:

Given function:

$f(x)=\dfrac{10}{x^2-7x-30}$

<u>Asymptote</u>

Asymptote: a line which the curve gets infinitely close to, but never touches.

Factor the denominator of the function to find the vertical asymptotes:

$\implies x^2-7x-30$

$\implies x^2-10x+3x-30$

$\implies x(x-10)+3(x-10)$

$\implies (x+3)(x-10)$

Therefore:

$f(x)=\dfrac{10}{(x+3)(x-10)}$

The function is undefined when the denominator is equal to zero.

Therefore, there are vertical asymptotes at x = -3 and x = 10
and a horizontal asymptote at y = 0

f(x) is positive for (10, ∞)

f(x) is negative for (-3, 10)

f(x) is positive for (-∞, -3)

4 0

2 years ago

Read 2 more answers

PLZ HELP!

gizmo_the_mogwai [7]

Your answer would be B. William will pay $392.30 with his, and at the store he'll pay $402.15. :)

4 0

3 years ago

Examine the quadratic equation 9x^2+12x +4= 0.

mestny [16]

Answer:

See answers and explanations

Step-by-step explanation:

A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0

B) Since the discriminant is 0, this means the equation only has one root.

C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)

4 0

2 years ago