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Allushta [10]
3 years ago
9

ANSWER ASAPPPP PLS

Mathematics
1 answer:
QveST [7]3 years ago
7 0

Answer:

I'm going to help you figure this out because I am actually on the same assignment. If you do not understand what it is asking, it is not asking you to break down the function notation, it is simply asking you to substitute (X) with 2,3,4,5,and 6 and then to solve it on each line

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The value of the numerator of a particular fraction is one-half the value of its denominator. If the numerator is increased by 2
IgorC [24]

Answer:

14

Step-by-step explanation:

Let the original denominator be 2x.

The original numerator is x.

The original fraction is x/(2x).

The numerator is increased by 2, and the denominator is decreased by 2.

The new fraction is (x + 2)/(2x - 2).

The new fraction equals 3/4.

(x + 2)/(2x - 2) = 3/4

Cross multiply.

4(x + 2) = 3(2x - 2)

4x + 8 = 6x - 6

-2x = -14

x = 7

The original numerator was 7.

2x = 2(7) = 14

The original denominator was 14.

8 0
3 years ago
NEED HELP ASAP! WILL MARK BRAINLIEST!
snow_tiger [21]
The answer would be 30 since for 180 pounds and 60 feet you would need to divide 180 by 60 to get the unit rate for the pressure and then multiply by 10 which would get you 30. Correct me if I’m wrong. Hope it helps :)
3 0
3 years ago
Study the following data set.
nikdorinn [45]

Answer:

22

Step-by-step explanation:

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

6 0
3 years ago
What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 27 − x^2? show your
LUCKY_DIMON [66]

Answer:

Option B.

Step-by-step explanation:

The given curve is

y=27-x^2

We need to find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y=27-x^2.

Let the vertex in quadrant I be (x,y), then the vertex in quadrant II is (-x,y) .

Length of the rectangle = 2x

Width of the rectangle = y

Area of a rectangle is

Area=Length\times width

Area=2x\times y

Substitute the value of y from the given equation.

Area=2x(27-x^2)

A=54x-2x^3      .... (1)

Differentiate with respect to x.

\frac{dA}{dx}=54-6x^2

Equate \frac{dA}{dx}=0, to find the critical points.

0=54-6x^2

6x^2=54

Divide both sides by 6.

x^2=9

x=\pm 3

The value of x can not be negative because side length can not be negative.

Substitute x=3 in equation (1).

A=54(3)-2(3)^3

A=162-54

A=108

The area of the largest rectangle is 108 square units.

Therefore, the correct option is B.

7 0
3 years ago
A 12 feet tall street light is making an 18 feet shadow at the same time in nearby building is making a 72 feet shadow
Harman [31]

Answer: 48 ft

Step-by-step explanation:

Given

Height of street light h=12 ft

length of shadow x=18 ft

Shadow length of building x'=72 ft

suppose the height of the building is y

from the figure, we can write

\Rightarrow \tan p=\dfrac{h}{x}=\dfrac{12}{18}\\\\\Rightarrow \tan p=\dfrac{y}{x'}=\dfrac{12}{18}\\\\\Rightarrow y=72\times \dfrac{2}{3}=48\ ft

7 0
3 years ago
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