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4 years ago

What is 6 (5x + 2y) -3 (2x + 3y) ?

2 answers:

7 0

$\text{Hello there!}\\\\\text{Use the distributive property and combine like-terms to get your answer:}\\\\6(5x + 2y) -3 (2x + 3y)\\\\\text{Distribute:}\\\\30x+12y-6x-9y\\\\\text{Combine like terms:}\\\\24x+3y\\\\\boxed{\text{Answer: 24x+3y}}$

melisa1 [442]4 years ago

3 0

Answer:

=24x+3y

Step-by-step explanation:

6(5x+2y)−3(2x+3y)

Distribute:

=(6)(5x)+(6)(2y)+(−3)(2x)+(−3)(3y)

=30x+12y+−6x+−9y

Combine Like Terms:

=30x+12y+−6x+−9y

=(30x+−6x)+(12y+−9y)

=24x+3y

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Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life. Ch

Shalnov [3]

Answer:

L = s^2/(30.25Cd)

Step-by-step explanation:

In accident investigation, the speed of a vehicle can be estimated using a polynomial function that relates speed (s) to the length of skid marks (L). The drag coefficient Cd will depend on the condition of the road surface and tires, but might be expected to be between 0.7 and 0.8.

If the skid marks end in a collision, the length of the marks that might have been made can be estimated using this formula, then that length added to the actual length of marks to estimate the original speed. The speed at the point of collision can be estimated by the damage caused, and/or the movement created.

In the above formula, length is in feet, and speed is in miles per hour.

8 0

3 years ago

A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate

BARSIC [14]

Answer:

Second from top...

The average rate of change is $0.07, meaning that for each minute of talk time, the monthly bill increases by $0.07.

Step-by-step explanation:

Pick any two points and calculate the slope which will represent the rate of change:

(Minutes, Cost)

(0, 9.95)

(10, 10.65)

Rate of change:

slope m = (y₂ - y₁) / (x₂ - x₁)

= (10.65 - 9.95) / (10 - 0)

= 0.7 / 10

= 0.07

y is cost

m is rate of change

x is minute(s) use

b is fixed monthly cost regardless if any minutes is used

y = mx + b

y = .07x + 9.95

4 0

3 years ago

Which statement about the grapgh of line y=x+1/2 will be true if the 1/2 is replaced by -2

seraphim [82]

Answer:

Step-by-step explanation:

This linear graph will be shifted downward by 2 1/2 units: first, from y = 1/2 to the x-axis, and next, from the x-axis by 2 more units, for a total shift of 2 1/2 units.

7 0

3 years ago

What is the equation of the line?

svetlana [45]

Answer:

y = -7

Step-by-step explanation:

This line is a horizontal line [HOY] - horizontal, 0 slope, and the equation starts with y = ___ , since it crosses at -7, then the line is y = -7

3 0

3 years ago

Ms.Lopez has created a floor plan of a dollhouse. The area of the entire dollhouse is 576 square inches

harina [27]

Answer:

(a)Area of the bedroom=96 square inches

(b)Area of the living room =144 square inches

(c)Area of the dollhouse that is not of the bedroom or living room =336 square inches.

Step-by-step explanation:

The area of the bedroom is 1/6 the area of the entire dollhouse

The area of the living room is 3/2 times the area of the bedroom.

The area of the entire dollhouse is 576 square inches

Let the area of bedroom=b

Let the area of living room=l

(a) The area of the bedroom is 1/6 the area of the entire dollhouse

$b=\frac{1}{6}X576=96$ square inches

(b)The area, in square inches, of the living room

The area of the living room is 3/2 times the area of the bedroom

l= $\frac{3}{2}X96=144$ square inches

(c)The total area of the house =576 square inches

Area of the bedroom=96 square inches

Area of the living room =144 square inches

Area of the dollhouse that is not of the bedroom or living room

=576-(96+144)=576-240=336 square inches.

The area of the living room is 3/2 times the area of the bedroom

This is gotten by subtracting the area of the bedroom and living room from the total area of the house.

3 0

4 years ago