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lesya [120]
3 years ago
5

Find the y-intercept and the slope of 12x-4y=7

Mathematics
2 answers:
den301095 [7]3 years ago
8 0

Answer:

The slope is 3 and the y intercept is -7/4

Step-by-step explanation:

We need to get the equation in the form

y = mx+b where m is the slope and b is the y intercept

12x - 4y =7

Subtract 12x from each side

12x-12x -4y = -12x +7

-4y = -12x+7

Divide each side by -4

-4y/-4 = -12x/-4 +7/-4

y = 3x + -7/4

The slope is 3 and the y intercept is -7/4

faltersainse [42]3 years ago
8 0

Answer:

Slope: 3

y-intercept: -7/4

Step-by-step explanation:

12x-4y=7

4y = 12x - 7

y = 3x - 7/4

Slope: 3

y-intercept: -7/4

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When converting the equation -x+2y=-10 into slope-intercept form, the first step to solve for y would be to ?
borishaifa [10]

Answer:

add 2x to both sides

Step-by-step explanation:

-x+2y=-10

2y=x-10

y=1/2x-5

5 0
3 years ago
How do algebra tiles help you solve equations?
Harlamova29_29 [7]

Answer:

Algebra tiles make solving equations, merging like words, or factoring polynomials a visual operation, similar to students using counters to make sense of addition in elementary school, or students using number lines to make sense of integers.

Step-by-step explanation:

i hope this helped

7 0
3 years ago
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect
Liula [17]

Answer:

After 25 years the population will be:

  • Australia: 22271200
  • China: 1580220878
  • Mexico: 157380127
  • Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

 P(t) = P₀eʳᵗ

  • t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.
  • P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.
  • P₀ is the initial population at P(0)
  • r is the growth rate.<u><em> Don't forget to convert the percentage to its decimal form</em></u>

Now that everything is set out, lets use the equation to solve for our answer.

P(t) = P₀eʳᵗ

<u>Australia:</u>

P(t)=(19169000)e^{(0.006)t}

after 25 years

P(25)=(19169000)e^{(0.006)(25)}=22271200.6

<u>China:</u>

P(t) = (1261832000)e^{(.009)t}

after 25 years:

P(25)=(1261832000)e^{(.009)(25)}=1580220878

<u>Mexico:</u>

P(t) = (100350000)e^{(0.018)t}

after 25 years:

P(25)=(100350000)e^{(0.018)(25)}=157380127.8

<u>Zaire:</u>

P(t) = (51965000)e^{(0.031)t}

after 25 years:

P(25)=(51965000)e^{(0.031)(25)}=112794819.9

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3 years ago
How do I answer 249/591
kodGreya [7K]

Answer:

Divide

Step-by-step explanation:

249/591

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