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andrey2020 [161]
3 years ago
11

- 3/4 (x - 3) - 5 = 1/8 (x -1)

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:

x= -1/2

Step-by-step explanation:

-3/4x+9/4-5=1/8x-1/8

-3/4x-11/4=1/8x-1/8

x=9/4-11/4

x=-1/2

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The vertical line test is used to check if a line is a function of a graph or not. The test states that if it crosses a graph at more than 1 point, then it is not a function but simply just a relation of that graph.  So in this case, it is a relation but not a function of x.

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4 years ago
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a tabletop in the shape a trapezoid has an area of 6550 square centimeters its longer base measures 115 centimeters and the shor
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7 0
3 years ago
Find the general solution for the differential equation \displaystyle{\left.{d}{y}\right.}+{9}{x}\ {\left.{d}{x}\right.}={0}dy+9
densk [106]

Answer:

y= CC-4.5x^2

Step-by-step explanation:

To find the general solution to the differential equation

dy + 9x dx = 0, we employ the method of separating variable as follows:

Note: { will represent the integral sign here.

Separating the variables and integrating, we have

{dy  = -{9x dx

y = -(9/2)(x^2) + CC,

where CC is the given constant of integration.

This can be rearranged/simplified to yield

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6 0
3 years ago
A 6.50 kg crate is suspended from the end of a short vertical rope of negligible mass. An upward force F(t) is applied to the en
borishaifa [10]

Answer:

F=158.86 N

Step-by-step explanation:

We are given that

Mass of crate=m=6.5 Kg

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We have to find the magnitude of F when t=4 s

Differentiate w.r.t t

v=\frac{dy}{dt}=2.8+3(0.61)t^2

Again differentiate w.r.t t

a=\frac{dv}{dt}=3\times 2(0.61)t

a=3.66tm/s^3

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a=3.66\times 4=14.64m/s^2

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Where g=9.8m/s^2

Substitute the values

F-6.5\times 9.8=6.5\times 14.64

F=6.5\times 14.64+6.5\times 9.8

F=158.86 N

5 0
3 years ago
Fernando's family traveled 272 miles on a road trip last weekend. They drove for four hours. What was the rate at which Fernando
makvit [3.9K]
Total distance traveled by Fernando's family = 272 miles
Time taken to travel the distance of 272 miles = 4 hours
Then we can say that
The distance traveled by Fernando's family in 4 hours = 272 miles
So
The distance traveled by
Fernando's family in 1 hour = (272/4) * 1 miles
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From the above deduction we can easily conclude that Fernando's family traveled at a rate of 68 miles per hour. I hope to have helped you. 
7 0
4 years ago
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