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Keith_Richards [23]
2 years ago
12

Solve each equation. Show all of your work and check your answer 4x=1/3(6x-30)-2

Mathematics
1 answer:
Rus_ich [418]2 years ago
6 0

Answer:

x = -6

Step-by-step explanation:

Solve:

4x = 1/3(6x - 30) - 2

4x = 2x - 10 - 2

2x = -10 - 2

2x = -12

x = -6

Check:

4(-6) = 1/3(6(-6) - 30) - 2

-24 = 1/3(-36 - 30) - 2

-24 = 1/3(-66) - 2

-24 = -22 - 2

-24 = -24

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How do we find the slope of a line that is given in slope-intercept form?
Leno4ka [110]

Answer:

The slope is the coefficient of x, regardless the order.

Step-by-step explanation:

7 0
2 years ago
What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)
Anna71 [15]

Answer: m=-1.714

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

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

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

 m=\frac{-10-14}{8-(-6)}

Finally, you must evaluate in order to find the slope of this line. You get that this is:

m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714

8 0
4 years ago
URGENT!!!! A ship sails due east from point A for 30 miles. It then
saw5 [17]
Hopefully this helps

4 0
3 years ago
Your teacher asks you to find a recipe that includes two ingredients with a rate of 2 units over 3 units.
cupoosta [38]
For cooking "The Great Cheesecake", a good chef need 2 kilos of flour and 3 kilos of cheese, more talent and a bunch of joy.

<span>If you needed to triple the recipe, you'll need 6 kilos of flour and 9 kilos of cheese, but the rate wouldn't change because:
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4 0
3 years ago
Consider the expansion of (a + b)^12. Determine the coefficients for the terms with the powers of a and b shown.
ratelena [41]

Answer:

The answer to your question is:

Step-by-step explanation:

                                             (a + b)¹²

a¹² + 12a¹¹b + 66a¹⁰b² + 220a⁹b³ + 495a⁸b⁴ + 792a⁷b⁵ + 924a⁶b⁶ + 792a⁵b⁷

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a. a²b¹⁰   = 66

b. a⁵b⁷   = 792

c. a⁸b⁴ = 495

4 0
3 years ago
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