Factor -3bk 2 + 9bk - 6b

Answers

Answer 1
Answer: First you do -3bk+9bk and that equals 6bk then since there are no more like terms the experssion would be simplified into 6bk+2-6b
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A gallon of paint costs $32.50 and its label says it covers about 350 square feet. What is the cost of the paint per square foot?

Answers

It costs about 0.09 per square foot
First step would be to put this into perspective of an equation,$32.50...

I NEED HELP PLZZZZZ​

Answers

Answer:

c!

Step-by-step explanation:

You can just pull out a blank graph and plot your answers on there!

The formula for height, in feet of a projectile under the influence of gravity is given by h=-16t^2+vt+s, where t is the time in seconds, v is the upward velocity at the start, and s is the starting height. Marvin throws a baseball straight up into the air at 70 feet per second. The ball leaves his hand at a height of 5 feet. When does the ball reach a height of 75 feet?

Answers

Answer:

1.55s

Step-by-step explanation:

The height equation of the projectile is given as;

h = -16t^2 + vt + s .......1

where;

t is the time in seconds,

v is the upward velocity at the start,

s is the starting height.

Given;

v = 70 ft/s

s = 5 ft

Substituting the values equation 1 becomes;

h = -16t^2 + 70t + 5

For the ball to reach 75 ft, h = 0

75 = -16t^2 + 70t + 5

-16t^2 + 70t + 5 - 75 = 0

-16t^2 + 70t - 70 = 0

solving the quadratic equation;

Time t = 2.83 s and t = 1.55s

Therefore, the ball will first reach 75 ft after 1.55 seconds.

Jael has a monthly budget of x dollars. She spends $1,500 on her mortgage every month. One-fourth of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?A. y=1500+x/4
B. y=(x-1500)/4
C. y=1500-x/4
D.y=(x+1500)/4

And show work so I could understand!

Answers

Answer:

B. y=(x-1500)/4

Step-by-step explanation:

Given that:

Monthly budget = x dollars

Monthly mortgage = $1500

Recreational activities = 1/4 of remaining budget

Amount in dollar spent on recreational activities =

(Monthly budget - monthly mortgage) * 1/4

(x - 1500) * 1/4

Hence,

y = (x - 1500) / 4

I need help write in line slope-intercept from ​

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

The equation for the line in slope-intercept form is

y=mx+b

where

  • m is the slope
  • b is the y-intercept

For example, a line of the form y=-3x+2 can be termed as the line of an equation in slope-intercept form after comparing with it.

y=-3x+2

where

  • m=-3
  • y-intercept = b = 2

Which choice is the appropriate simplified form and restriction for the variable? 3x^2+9x over x^2-2x-15

Answers

If you would like to know what is the appropriate simplified form and restriction for the variable, you can calculate this using the following steps:

(3x^2 + 9x) / ( x^2 - 2x - 15) = (3x * (x + 3)) / ((x - 5) * (x + 3)) = 3x / (x - 5)

The simplified form is 3x / (x - 5) and the restriction for the variable would be x  5 and x ≠ -3.
(3x^2 + 9x) / ( x^2 -2x -15)

Factor both polynomials

(3x)(x+3) / (x-5)(x+3) = 3x/(x+5)

The simplified form is 3x/(x+5)

The restriction for the variable is x ≠ -3 (this is because you can only simplify the factor x-3 if its value is not zero).