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Alexandra [31]
3 years ago
5

A sofa on sale for $429.00 which is 34% less than the regular price .what is the regular price

Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

Discounted price = $495 Discount Rate = 34% Solution: Let x = Original Price x = 495 + 0.35x ;Multiply whole equation by 100 to remove decimals. 100x = 49500 + 35x ;Transpose 35x to the left side of the equation. 100x-35x = 49500 ; Subtract the x terms. 65x = 49500 ; Divide both sides by 65. x = 761.54 So the original price is $761.54.

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Select the sets that are not functions.
Kaylis [27]

Answer:

D,E are not functions

Step-by-step explanation:

A function is a relation in which every  input has not more than one output.But the output of the inputs may be same.Here in D the input 1 has 4 different outputs as 1,2,3,4.So its not a function.Similarly in E 6 has 2 outputs as 2 and -1.For remaining sets the inputs has only one output.so they are functions.

7 0
4 years ago
Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for
Ahat [919]

Answer:

Letter B

Step-by-step explanation:

5 0
3 years ago
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Maggie's brother is 3 years younger than twice her age. The sum of their ages is 12.
Lilit [14]
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3 0
3 years ago
Answer the following:
jonny [76]

Answer:

As the product of the slop of both lines is -1.

  • m_1\times m_2=-1
  • 3\times \frac{-1}{3}=-1

Therefore, the given equations are perpendicular.

Step-by-step explanation:

Given the equations

-3x+y=-4

x+3y=6

The slope-intercept form of the equation is

y=mx+b

where m is the slope and b is the y-intercept.

Writing both equations in the slope-intercept form

-3x+y=-4

y=3x-4

So by comparing with the slope-intercept form we can observe that

slope of equation = 3

i.e.

m_1=3

also

x + 3y = 6

3y\:=\:6-x

y=-\frac{1}{3}x+2

So by comparing with the slope-intercept form we can observe that

the slope of equation = -1/3

i.e.

m_2=-\frac{1}{3}

as

The slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

so

The slope m_2 is the negative reciprocal of the slope \:m_1

Also, the product of two perpendicular lines is -1.

i.e.

m_1\times m_2=-1

VERIFICATION:

It is clear that the product of the slop of both lines is -1.

m_1\times m_2=-1

3\times \frac{-1}{3}=-1

Therefore, the given equations are perpendicular.

6 0
3 years ago
If vector u has its initial point at (-17, 4) and its terminal point at (8,-11), u =
miskamm [114]

Step-by-step explanation:

u vector components:

x-comp = 8 - (-17) = 25

x-comp = -11 - 4 = -15

Therefore, we can write vector u as

u = 25i - 15j

v = 14i - 4j

u - v = 11i - 11j

Therefore,

2(u - v) = 22i - 22j

6 0
3 years ago
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