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Viktor [21]
2 years ago
10

1. Write the linear equation 2x – 3y = 24 slope-intercept form.

Mathematics
1 answer:
mel-nik [20]2 years ago
3 0

Answer:

y=2/3x-8

Step-by-step explanation:

2x-3y=24

3y=2x-24

y=2/3x-24/3

y=2/3x-8

y=mx+b where m=slope and b=y-intercept.

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PLEASE HELP VERY URGENT!!!!!!!
Ierofanga [76]

Answer:

The correct option is;

C. (1.6, 1.3)

Step-by-step explanation:

Given that at x = 1.5 the y-values of both equations are y = 1.5 and y = 1 respectively

The x-value > The y-value

The difference in the y-values = 1.5 - 1 = 0.5

At x = 1.6 the y-values of both equations are y = 1.2 and y = 1.4 respectively

The x-value > The y-value

The difference in the y-values = 1.2 - 1.4 = -0.2

At x = 1.7 the y-values of both equations are y = 0.9 and y = 1.8 respectively

The x-value > The first y-value and the x-value < the second y-value

The difference in the y-values = 0.9 - 1.8 = 0.9

Therefore, the approximate y-value can be found by taking the average of both y-values when x = 1.6 where the difference in the y-values is least as follows;

Average y-value at x = 1.6 = (1.2 + 1.4)/2 = 1.3

Therefore, the best approximation of the exact solution is (1.6, 1.3)

By calculation, we have;

-3·x + 6 = 4·x - 5

∴ 7·x = 11

x = 11/7 ≈ 1.57

y = 4 × 11/7 - 5 ≈ 1.29

The solution is (1.57, 1.29)

8 0
3 years ago
Ben bought a laptop that was 15% off the regular price of $999. If a 8% sales tax was added to the cost of the laptop, what was
11Alexandr11 [23.1K]

so 15% off is 149.85  which makes it 849.85 then you add sales tax which is 79.92 and your cost is 929.07


5 0
3 years ago
What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?
Schach [20]

Answer:

The answer is

\huge y = 4x - 22

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (3, -10) and the slope 4

We have

y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10

We have the final answer as

y = 4x - 22

Hope this helps you

8 0
3 years ago
6. Simplify: n - 12 + 4n+ 2 - 3n<br> A) -8n<br> B) 10n + 14<br> C) 2n - 10<br> D) 2n + 10
ad-work [718]

Answer:

answer c

Step-by-step explanation:

n plus 4n is 5n minus 3 is 2n

-12 plus 2 is -10

3 0
3 years ago
The sum of a number and two times a smaller number is 98. The bigger number is 22 less than three times the smaller number.
notsponge [240]
The answer is 50 and 24

The two equations are x + 2y = 98   and   x = 3y - 22

every answer equals 98 when you use the first equation but the only one that works with the second equation is C (works meaning when you plug in the answers from the answer choices) 

x = 3(24) - 22

x = 50 
3 0
3 years ago
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