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elena55 [62]
3 years ago
14

What is the value of x in the equation 8+4 = 2(x-1)? a. 5 b. 11/2 c. 13/2 d. 7

Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer:7

Step-by-step explanation:

8+4=12

2(x-1)= 2x-2

12=2x-2

now add 2 to both sides

14=2x

And divide both sides by 2

7=x

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A home is purchased for $60,000 in 2001 and sold for $225,000 in 2021. Plot this on a graph. Then draw 2 lines, 1 mapping a line
astraxan [27]

Answer:

a. 3.6

b Linear

c. 2.13333

Plot a graph going up vertically by amounts 30,000  would be = 1

60,.000 would be = 2, 90,000 would be = 3 etc.

225,000 would show between 7 and 8. where marks of 15/30 = 1/2 would be counted back from 240,000 to 225,000 and between 210,000 to 240,000

After mapping the x rate must be 1 for both linear and for exponential.

The average rate of change is found when 60k = 2  and 225k = 7.5 is increasing and years shown 2001 to 2021 are shown on x axis.

=  20 years

Therefore linear shows 2 when x = 1 then shows 7.5 when x = 20

20/7.5 = 2.6

Therefore, this relationship is linear because each yyy-value is 7.5/20 more than the value before it. The x value goes up by 1 each value of 0.37 for y

When the value is exponential the y value should go up by 1 and as it is 30,000 each 1 value and x =1 goes up 2 2/3 = 2.6667 for every 30.000k to every x value.

A. 2 -2 2/3  = 2.31555.. average rate of change.for exponential  and between 3.5 and 3.7 = 3.6 average rate of change for linear.

B linear

C 2008 = 8 YEARS 8/20 X 2 = 0.8

0.8 X 2  2/3= 2.13333333 is the app value of the linear model 2008.

6 0
3 years ago
Which ordered pairs are in a proportional relationship with (0.2, 0.3)?
MAXImum [283]

Answer:

C and E

Step-by-step explanation:

We are given that

x_1=0.2,y_1=0.3

\frac{y}{x}=\frac{0.3}{0.2}=\frac{3}{2}

k=\frac{y}{x}=\frac{3}{2}

A.x_2=1.2,y_2=2.3

\frac{y_2}{x_2}=\frac{2.3}{1.2}=\frac{23}{12}\neq=\frac{3}{2}

Hence, it is not in proportional relationship with (0.2,0.3)

B.(2.7,4.3)

x_3=2.7,y_3=4.3

\frac{y_3}{x_3}=\frac{4.3}{2.7}=\frac{43}{27}\neq\frac{3}{2}

Hence, it is not in proportional relationship with (0.2,0.3).

C.(3.2,4.8)

x_4=3.2,y_4=4.8

\frac{y_4}{x_4}=\frac{4.8}{3.2}=\frac{3}{2}

Hence, the ordered pair (3.2,4.8) are in a proportional relationship with (0.2,0.3).

D.(3.5,5.3)

\frac{y_5}{x_5}=\frac{5.3}{3.5}=\frac{53}{35}\neq \frac{3}{2}

Hence, the ordered pair (3.5,5.3) are not in a proportional relationship with (0.2,0.3).

E.(5.2,7.8)

\frac{y_6}{x_6}=\frac{7.8}{5.2}=\frac{3}{2}

Hence, the ordered pair (5.2,7.8) are in a proportional relationship with (0.2,0.3).

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3 years ago
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Answer:

5/12

Step-by-step explanation:

Dividing each fraction by a divisible number results in

3/9= 1/3

6/14=3/7

4/22=2/11

4 0
3 years ago
Which of the following best defines a postulate
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A postulate is a statement in math that is so obvious that it does not need to be proven, that is basically what it means, in layman's terms
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