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nexus9112 [7]
3 years ago
13

How do you graph linear equation x+6y=24

Mathematics
1 answer:
disa [49]3 years ago
7 0
Use the slope-intercept form to find the slope and y-intercept. The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Find the values of m m and b b using the form y=mx+b y = m x + b . The slope of the line is the value of m m , and the y-intercept is the value of b .
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In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

f(15) = 62826

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

a = \frac{y_2 - y_1}{x_2 - x_1}

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

3 0
3 years ago
Is 3/8 equivalent to 12/24
Ghella [55]
No because 3 x 4 = 12 and 8 x 4 ≠ 24
4 0
2 years ago
Sydney applied the steps below to find the product of (3.1)(–1.6).
postnew [5]

 to get the numbers in step 3

multiply -1.6 by 3

then multiply -1.6 by 0.1

 and add them together

answer is D) (–1.6)(3) + (–1.6)(0.1)

7 0
3 years ago
Read 2 more answers
The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks
Ber [7]
C = 1/3f + 36
c = 85

1/3f + 36 = 85 <===
5 0
3 years ago
Can i please get help with this Question?
sashaice [31]

So firstly, I'm going to be converting the mixed number into an improper fraction. To do this, multiply the whole number by the denominator and then add that product with the numerator and that will be your new numerator. In this case:

3 × 8 = 24, 24 + 3 = 27. \frac{-27}{8}

Now since they have the same denominator, you can subtract the numerators.

\frac{-27}{8}-\frac{7}{8}=\frac{-34}{8}

Now simplify the number as such:

\frac{-34}{8}\div\frac{2}{2}=\frac{-17}{4}

<u>In short, your answer is -17/4, or -4 1/4.</u>

3 0
3 years ago
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