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4 years ago

Essential: Solve the proportions step by step

Mathematics

1 answer:

vazorg [7]4 years ago

6 0

Answer:

The value of r= $\frac{-106}{47}$

The value of x= $\frac{83}{32}$

Step-by-step explanation:

Given that,

A) $\frac{2r-2}{7r+10} = \frac{9}{8}$

Now,

$\frac{2r-2}{7r+10} = \frac{9}{8}$

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r= $\frac{-106}{47}$

B) $\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

Now,

$\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x= $\frac{83}{32}$

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Is the function in the table linear or nonlinear and why? x y 0,−100 and 1,-50 and 2,0 and 3,100 and 4,150. (A)The function is n

Studentka2010 [4]

Answer:

The correct option is c.

Step-by-step explanation:

Linear function: The rate of change of a linear function is always constant.

Non-Linear function: The rate of change of a non-linear function is not constant.

From the given coordinate pairs it is noticed that the function is passing through the points (0,-100), (1,-50), (2,0), (3,100) and (4,150).

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of function for points (0,-100) and (1,-50) is

$m_1=\frac{-50-(-100)}{1-0}=50$

The slope of function for points (2,0) and (3,100) is

$m_2=\frac{100-0}{3-2}=100$

Since the slopes of function are different, therefore the given function is non-linear.

The function is not linear because the rate of change is not constant and option c is correct.

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4 years ago

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Please show how you solved the problem. 4a - 14 = 7a - 8

lianna [129]

4a - 14 = 7a - 8

4a - 7a = 14 -8

-3a = 6

a = 2

ok done. Thank to me :>

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3 years ago

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What is 3 equivalent ratios for 2/6

Crazy boy [7]

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3 years ago

The equation 2x + 4k − 9 = kx − k + 1 is really a family of equations, because for each value of k, we get a different equation

Olegator [25]

You haven't shared "the given value of x," or, if you have, you haven't drawn attention to it.

Just suppose we were to choose x = 4 as a possible solution and then try to find a value of the parameter k that would make x = 4 an actual solution.

2(4) + 4k - 9 = (4)(4) - (4) + 1

Then 8 + 4k - 9 = 16 - 4 + 1, or 4k - 1 = 13. Then 4k = 14, and k = 14/4, or (after reduction) k = 7/2

If the parameter k equals 7/2, then x = 4 is a solution to the given equation.

To check this out further, start with the proposed solution x = 5 and find k.

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3 years ago

What is 85% of 80 need help

romanna [79]

Hello from MrBillDoesMath!

Answer:

Discussion:

85% of 80 =

(85/100) * 80 = => as 85* 8 = (80 +5) * 8 = 640 + 40 = 680

6800/100 =

Thank you,

MrB

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3 years ago

Essential: Solve the proportions step by step ​

Essential: Solve the proportions step by step