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-BARSIC- [3]
3 years ago
6

Determine the x- and y-intercepts of the linear equation. Type a numerical answer in the space provided. Type the x-intercept fi

rst, then the y-intercept second. Separate the intercepts with a comma. For example, if the x-intercept is (-10,0) and the y-intercept is (0,5), type -10,5.
x - y = 3
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

3, - 3

To find the intercepts

let x = 0, in the equation for y- intercept and y = 0 for the x- intercept

x = 0 → - y = 3 ⇒ y = - 3 ⇒ (0, -3) is y- intercept

y = 0 → x = 3 ⇒ (3 , 0) is the x- intercept

that is 3, - 3


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Maximilian had 4/5 bag of trail mix. He divided the trail mix equally among 5 friends. What fraction of the full bag of trail mi
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7 0
3 years ago
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Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What
Mrac [35]

Answer:

1. Distributive property.

2. Combining like terms.

3. Addition property of equality.

4. Division property of equality.

Step-by-step explanation:

- The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ab

- The Addition property of equality states that:

If\ a=b\ then\ a+c=b+c

- The Subtraction property of equality states that:

If\ a=b\ then\ a-c=b-c

- The Multiplication property of equality states that:

If\ a=b\ then\ a*c=b*c

- The Division property of equality states that:

If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}

Given the following equation:

4(3x-8)-4=24

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24

2. Combining (or adding) like terms:

12x-36=24

3. Addition property of equality, because she added 36 to both sides of the equation:

12x-36+36=24+36\\\\12x=60

4. Division property of equality, because she divided both sides of the equation by 12:

\frac{12x}{12}=\frac{60}{12}\\\\x=5

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