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Ksju [112]
2 years ago
5

Solve the system: X + 2y=28 Y= 3x

Mathematics
1 answer:
DochEvi [55]2 years ago
7 0

Answer:

x=4 and y=12

Step-by-step explanation:

x+2(3x)=28

x+6x=28

7x=28

x=4

y=3(4)

y=12

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Multiply (simplest form) <br> 6x^2/x(x-3)•(x-3)/10(x+2)
schepotkina [342]

Answer:

\frac{3x}{5(x+2)}

Step-by-step explanation:

Rewrite the division as a fraction.

8 0
2 years ago
The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line?
kodGreya [7K]

Answer:

-4

Step-by-step explanation:

<em>Hey there!</em>

<em />

Well the slopes of 2 parallel lines have the same slope,

meaning if the green line has a slope of -4 then the slope of the red line has a slope of -4.

<em>Hope this helps :)</em>

5 0
3 years ago
In your own words, explain why when we multiply terms that have the same bases, we add the exponents.
Doss [256]

When multiplying exponents, remember the first rule: when multiplying similar bases, add powers together. 52% + 56% =? The bases of the equation remain unchanged, while the exponents' values are added together. Adding the exponents is only a quick way to get at the answer. Simply add the exponents to multiply exponential expressions with the same base. Simplify. The product rule applies because the base of both exponents is a. With a common basis, add the exponents.

4 0
2 years ago
You are making a scaledrawing of a room using a scale of1 inch : 4 feet.a. The room is 14 feet by 18 feet. Find itsdimensions in
lilavasa [31]

Answer:

a. 3.5 inches by 4.5 inches

b. 1.5 inches

c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2

Step-by-step explanation:

A scale is a representative fraction showing the relationship between length on a drawing and actual length.

i.e scale = \frac{length on a drawing}{actual length}

 scale = 1 inch : 4 feet

a. The dimensions in the drawing can be determined as;

1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.

\frac{14}{4} = 3.5 inches

\frac{18}{4} = 4.5 inches

Dimensions on drawing is 3.5 inches by 4.5 inches.

b. The length of the sofa is 6 feet, its length on the drawing is;

\frac{6}{4} = 1.5 inches

c. To enlarge the scale so as to double the dimensions of the drawing, we have;

12 inches = 1 feet

4 feet = 4 × 12 = 48 inches

given scale = 1 inch : 48 inches

Thus, divide 48 inches by 2 and multiply 1 inch by 12.

scale = 12 inch : 24 inch

scale = 1 : 2

To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.

6 0
3 years ago
NEED ANSWERS NOW!! (Reward) brainlest and pointsss
geniusboy [140]

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms

     = - 0.6(x² - 7x) + 240

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 7x

f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240

      = - 0.6 (x - 3.5)² + 7.35 + 240

     = - 0.6(x - 3.5)² + 247.35

with vertex = (3.5, 247.35 )

The maximum value is the y- coordinate of the vertex

Then

f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35

5 0
3 years ago
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