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Scilla [17]
3 years ago
9

7. Use the properties of operations to simplify this algebraic expression. Rewrite the expression by following the directions in

each step. 5(x – 4) + 3x – 9x + 7 Step 1: Rewrite the subtraction operations as addition of negative numbers. (1 point) Step 2: Use the distributive property. (1 point) Step 3: Use the commutative property of addition to reorder terms so that like terms are together. (1 point) Step 4: Use the associative property of addition to group like terms. (1 point) Step 5: Simplify. (1 point)
Mathematics
1 answer:
Svetach [21]3 years ago
3 0

Answer:

-x + -13

Step-by-step explanation:

Rewrite: 5(x – 4) + 3x – 9x + 7

Step 1: 5(x + –4) + 3x + –9x + 7

Step 2: 5x + -20 + 3x + –9x + 7

Step 3: 5x + 3x + –9x + -20 + 7

Step 4: -1x + -13

Step 5: -x + -13

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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
3 years ago
There are 25 questions on your math test. You have completed 5 questions so far. What fraction of the total questions do you sti
maksim [4K]

Answer:

\frac{4}{5}

Step-by-step explanation:

If you have completed 5 questions, you still have 25-5=20 more questions to answer. We need to find what fraction 20 is of 25, if that makes sense. A fraction is simply a part over a whole. In this case, the part is 20 and the whole is 25. Therefore, the fraction we are looking for is \frac{20}{25}, which simplifies to \frac{4}{5}. Hope this helps!

6 0
3 years ago
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How many cups is there in 1 quart?
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There is 4 cups in 1 quart.
4 0
2 years ago
Five line segments coincide at a point as shown.
Nikitich [7]

Answer:

720º

Step-by-step explanation:

We can use vertical angles to figure this out. We can see that each of the unmarked angles in the triangles is a vertical angle to an empty space. A full circle has the measure of 360º. We need half of that which is 180º.

The sum of the angle measures of a triangle is 180º. We have five triangles so the total angle meaure is 900º.

However, we need to subtract the 180º to get 720º.

8 0
2 years ago
Solve it by substitution method:- 5x - 6y=-9 and 3x + 4y= 25
user100 [1]
\left\{\begin{array}{ccc}-5x-6y=-9&/\cdot2\\3x+4y=25&/\cdot3\end{array}\right\\+\left\{\begin{array}{ccc}-10x-12y=-18\\9x+12y=75\end{array}\right\\------------\\.\ \ \ \ \ \ \ -x=57\\.\ \ \ \ \ \ \ \ \ x=-57\\\\3\cdot(-57)+4y=25\\-171+4y=25\\4y=25+171\\4y=196\ \ \ \ /:4\\y=49\\\\Solution:x=-57;\ y=49.
8 0
3 years ago
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