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2 years ago

5(X-4) +2= -173 what is value of x?

Mathematics

1 answer:

m_a_m_a [10]2 years ago

7 0

Answer:

The value of x is -31.

Step-by-step explanation:

To solve this, follow the order of operations for solving equations. The step-by-step is listed below.

5(x - 4) + 2 = -173 ----> Subtract 2 from both sides

5(x - 4) = -175 ----> Divide both sides by 5

x - 4 = -35 ----> Add 4 to both sides

x = -31

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

2 years ago

Líst the key features of the quadratic function graphed.

Oksi-84 [34.3K]

I think The answer is C

5 0

3 years ago

The altitude of an airplane is decreasing at a rate 42 feet per second what is the change in altitude of the airplane over a per

Xelga [282]

The descent after 16 seconds would be 672 feet, with the function -42•X and X=16 so -42•16=-672

7 0

2 years ago

What is the coefficient of the second term of the trinomial?

marin [14]

The coefficient of the second term is 18.

What you do is you FOIL the terms:
$(3x+3)(3x+3)\\ Multiply\ the\ first\ terms\ together:\\ 3x*3x=9x^{2}\\ Then\ the\ outer\ terms:\\ 3x*3=9x\\ Next,\ the\ inner\ terms:\\ 3x*3=9x\\ Finally,\ multiply\ the\ last\ terms:\\ 3*3=9\\ Putting\ the\ terms\ together:\\ 9x^{2}+9x+9x+9=9x^{2}+18x+9\\\\ Since\ (3x+3)^{2}=9x^{2}+Bx+9=9x^{2}+18x+9,\ then \ B=18.$

7 0

3 years ago

Read 2 more answers

Solve for y <br><br> 5y- 10x = 45

nasty-shy [4]

Answer:

y=9 (x=-4.5)

Step-by-step explanation:

you have to split the equation up in order to solve

5y=45

divide by 5 on both sides

y=9

-10x=45

divide by -10

x=-4.5

6 0

3 years ago