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Alexxandr [17]
3 years ago
12

Simplify 6(x + y) + (x - y)

Mathematics
1 answer:
Arlecino [84]3 years ago
7 0

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

First, distribute the 6. Also, remove the second set of parentheses since it is unnecessary.

= 6x + 6y + x - y

Now add like terms. Remember that x is the same as 1x, and y is the same as 1y.

= 7x + 5y

Answer: 7x + 5y

You might be interested in
Find the slope ( rise/run)
Angelina_Jolie [31]

Answer:

\huge\boxed{-\frac{1}{3}}

Step-by-step explanation:

In order to find the slope of a line, we need to find the rise over the run.

Basically - the change in y divided by the change in x.

\frac{\Delta x}{\Delta y}

We can compare the two points and find both.

We go from (0, 2) to (3, 1).

From 0 to 3 (x) is 3 units.

From 2 to 1 (y) is -1 units.

Therefore we can divide the x by the y.

\frac{-1}{3}

-\frac{1}{3}

Hope this helped!

8 0
3 years ago
If (x − 5) is a factor of the polynomial function f(x) = 3x2 − 23x + 40, which of the following is another factor?
Schach [20]

Answer:

3x-8

Step-by-step explanation:

Use synthetic division:

5 | 3 -23 40

____<u> 15 -40</u>_

    3  -8 | 0

Hence, another factor of the polynomial is 3x-8

6 0
2 years ago
A triangular sail has a base length of 2.5 centimeters. The area of the sail is 3.75 square meters. How tall is the sail?
seraphim [82]

The area of any triangle = (1/2) x (length of the base) x (height)

2.5 centimeters  =  0.025 meter

The area of the sail is           (3.75) = (0.5) x (0.025) x (height)

Multiply each side by  2 :      (7.5) =            (0.025) x (height)

Divide each side by  0.025 :  (7.5)/(0.025) = height  =<em>  300 meters</em>

The situation is stupid, but the math is bullet-proof.


6 0
4 years ago
Write a 1/4 as an equivalent fraction of 360 in the denominator
Karo-lina-s [1.5K]
1/4 = x/360

4×9 = 36 so 4 × 90 = 360

also multiply the numerator by 90 and you get

1/4 × 90/90 = 90/360
6 0
3 years ago
Which fraction belongs in the box to make the expression true? 1/4 &lt; ___&lt; 7/8. A. 1/5. B. 8/9. C. 2/10. D. 10/20
Yuri [45]
The answer is D.

In the expression, the fraction must be larger than 1/4, yet smaller than 7/8.

It can't be A because 1/5 is smaller than 1/4. See below.

1/5 = 4/20

1/4 = 5/20

It also can't be B because 8/9 is larger than 7/8. See below.

8/9 = 64/72

7/8 = 63/72

Lastly, the answer cannot be C because 2/10 is smaller than 1/4.

1/4 = 5/20

2/10 = 4/20

Answer D works because:

10/20 = 2/4 > 1/4

10/20 = 80/160 < 140/160



7 0
3 years ago
Read 2 more answers
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