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Andrei [34K]
3 years ago
12

What is the sum of (x^2+6x-5) + (2x^2+15)

Mathematics
1 answer:
dangina [55]3 years ago
8 0

Answer:

3x^2 + 6x + 10

Step-by-step explanation:

Because we're adding it, it doesn't matter if we just take out the parenthesis.

X^2 + 2x^2 gives us 3x^2.

6x stays the same.

-5 + 15 gives us 10.

3x^2 + 6x + 10

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Solve the simultaneous equation,<br> 2p - 3q = 4<br> 3p + 2q = 9
Kobotan [32]

Answer:

p = \frac{35}{13} and q = \frac{6}{13}

Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the <em>elimination method</em>

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4]        x 3

[3p + 2q = 9]       x 2

6p - 9q = 12            -------------(iii)

6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

     [6p - 9q = 12]        

<u>  -   [6p + 4q = 18]   </u>  

<u>             -13q = -6     </u>  -----------------(v)

<u />

<u>(c)</u> Next, make q subject of the formula in equation (v)

      q = \frac{6}{13}

(d)  Now substitute the value of q = \frac{6}{13} into equation (i) as follows;

     2p - 3(\frac{6}{13}) = 4

(e)  Now, solve for p in d above

<em>Multiply through by 13;</em>

26p - 18 = 52

<em>Collect like terms</em>

26p = 52 + 18

26p = 70

<em>Divide both sides by 2</em>

13p = 35

p = \frac{35}{13}

Therefore, p = \frac{35}{13} and q = \frac{6}{13}

8 0
3 years ago
10 POINTSSSSSS HALPPP
dezoksy [38]

Answer:

51.9

8.9

78.5

8.8

Explanation:

You round up if the number to the right is 5 or greater.

So, apply this to the numbers and the 8 in A rounds up, going to a 51.9.

The 9 does not round up because of the one.

The 5 also does not round up because of the 2.

The 7 does round up because of the 6.

8 0
3 years ago
Nine people are evenly sharing 13 burgers.<br> How many burgers should each person get?
serg [7]

Answer:13

Step-by-step explanation:

13 burger each person should get 13

4 0
3 years ago
Read 2 more answers
Which function describes the arithmetic sequence shown?<br> 1,-2, -5, -8, -11, ...
antiseptic1488 [7]

Answer:

a(n)=1+(n-1)(-3)

Step-by-step explanation:

Notice there's a common difference of d=-3.

If we use the formula a(n)=a1+(n-1)d to find the nth term given the first term and the common difference, we will see that the function that describes the arithmetic sequence as a(n)=1+(n-1)(-3)

6 0
3 years ago
A bakery makes 4 dozen raisin muffins and 8 dozen blueberry muffins. A dozen is 12 muffins.
swat32

Answer:

144

Step-by-step explanation:

8x12 = 96 and 4x12= 48 and 96+48= 144

7 0
3 years ago
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