All categories

3 years ago

-3x+24y-36 factor the expression

1 answer:

5 0

-3x+24y-36 . You notice that the GCF =3 (that means the number that divides all factors)
3( - x + 8y -12) or you can put the "-" sign outside the parenthesis, but mind you , you will have to change all signs in the parenthesis:

-3( x - 8y +12)

You might be interested in

The point (3,-4) is on the terminal side of an angle 0. What is cos 0?

aleksandr82 [10.1K]

9514 1404 393

Answer:

C. 3/5

Step-by-step explanation:

The distance from the origin to the given point is ...

d = √(3² +(-4)²) = √(9+16) = 5

The cosine of the angle is the ratio of the x-coordinate to this value:

cos(θ) = x/d

cos(θ) = 3/5

3 0

3 years ago

Rooter Plus charges a $25 service fee plus $40 per hour of work done. Is this a proportional or non-proportional relationship?

Dominik [7]

Answer:

Non-proportional; the rate of change is $40/hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>

Let

x -----> the number of hours

y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=40\ \$/h\\b=\$25$

substitute

$y=40x+25$

This relationship is not proportional, because the line not passes through the origin

therefore

Non-proportional; the rate of change is $40/hour

5 0

3 years ago

The ratio between the square of a number and it's cube is 1:3 what is the number

Dimas [21]

Answer:

Step-by-step explanation:

Call that number “x”

The square of that number is x^2

Also as the cube is x^3

The ratio between these 2 values is 1:3, this means x^2 / x^3 = 1 / 3

<==> 1 / x = 1 / 3 (eliminate “x^2” for numerator and denominator of the fraction x^2 / x^3 )

<==> x = 1 * 3 / 1 = 3

So, that number is 3 ! This math problem seems simple ;)

4 0

3 years ago

a rectangular box is 24 in. long, 12 in wide, and 18 in high. If each dimension is increased by x in .. write a polynomial funct

ziro4ka [17]

Answer:

Step-by-step explanation:

<h3 /><h3>If we add a value of 'x' to each side of the box, the new dimensions can be represented as</h3><h3>x + 24</h3><h3>x + 12 and </h3><h3>x + 18</h3><h3 /><h3>To find the volume of the new box, multiply all of the dimensions together</h3><h3 /><h3>V = (x + 24)(x + 12)(x + 18) </h3><h3> Foil the first and second binomial....</h3><h3 /><h3>V = (x² + 36x + 288)(x + 18)</h3><h3> Now multiply the two polynomials together...</h3><h3 /><h3>V = x²(x) + 36x(x) + 288x + x²(18) + 36x(18) + 288(18)</h3><h3 /><h3>V = x³ + 36x² + 288x + 18x² + 648x + 5,184</h3><h3 /><h3>which simplifies to</h3><h3 /><h3>V = x³ + 54x² + 936x + 5,184 where x represents the increase in inches</h3>

8 0

4 years ago

Solve the question below 66

4vir4ik [10]

Answer:

we get the value of x: x = 39.1

Step-by-step explanation:

We are given:

Base = 19

Hypotenuse = x

and Angle = 62°

We need to find value of x.

We know that: $cos\theta=\frac{Base}{Hypotenuse}$

Putting values and finding value of x

$cos\theta=\frac{Base}{Hypotenuse}\\cos\: 61=\frac{19}{x} \\0.4848=\frac{19}{x}\\x(0.4848)=19\\x=\frac{19}{0.4848}\\x=39.1$

So, we get the value of x: x = 39.1

8 0

3 years ago