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3 years ago

Which shows the proper use of the distributive property

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

-2 (6x - y) = -12x + 2y

Step-by-step explanation:

By using the distributive property, you start by multiplying -2 and 6x which gets you -12x. You then multiply -2 and -y (in other words -y = -1y) so, -2* -y would get you 2 as a negative multiplied by a negative is a positive. So, adding them together would get your final answer: -2 (6x - y) = -12x + 2y

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Pie

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

$(0, -4)\\(1,0)$

We found the slope:

$m = \frac {y2-y1} {x2-x1}\\m = \frac {0 - (- 4)} {1-0} = \frac {4} {1} = 4$

So, the equation is of the form:

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We substitute a point to find "b":

$-4 = 4 (0) + b\\-4 = b$

Finally, the equation is:

$y = 4x-4$

Answer:

Option D

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2 years ago

Find each percent increase or decrease to the nearest percent:

Svet_ta [14]

From 10 to 15 -> 10 increased with half its size (5), that means increase of 50%
From 16 to 12 -> decrease of 4, which is a quarter of 16, that means a decrease of 25%

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2 years ago

What is 5hundreds×10 in unit form?

kipiarov [429]

This basically means 500 x 10. Unit form is just writing out the numbers. The answer is 5,000;

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3 years ago

QUESTION 4 of 10: You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised

puteri [66]

Answer:

We conclude that will rent be at the end of this year 937.125$.

Step-by-step explanation:

We know that we have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st.

We calculate

$\frac{850}{100}=8.5\\\\5\cdot 8.5=42.5\\\\850+42.5=892.5\\$