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Gnesinka [82]
3 years ago
15

Perform the operation. (x^2 + 8x + 8) + (-10x2 + 5x)

Mathematics
1 answer:
lisov135 [29]3 years ago
6 0

Answer:

-9x^2+13x+8

Step-by-step explanation:

Combine like terms-

(x^2 + 8x + 8) + (-10x^2 + 5x)

8x+5x = 13x

(x^2 + 8x + 8) + (-10x^2 + 5x)

-10x^2+x^2 = -9x^2

(x^2 + 8x + 8) + (-10x2 + 5x)

and 8 is just left over, so we put that all together and get...

-9x^2+13x+8

Good luck, have a great day!

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antiseptic1488 [7]
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4 0
4 years ago
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The sum of two odd consecutive numbers, the greater of which is equal to 2n+1.
Alborosie

Answer:

43 and 41

Step-by-step explanation:

2n-1+2n-3=84

4n-4=84

4n=88

n=22

2(22)-1 and 2(22)-3

44-1 and 44-3

43 and 41

write these numbers according to the directions (in least to greatest form) and you get the numbers 41 and 43.

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Odd integers can be written in as 2n-1, 2n+1, 2n+3 and so on. Basically, by writing 2n, you guarantee an even integer and when you add an odd integer to an even integer, you get an odd integer. Try using 2n-1 and 2n+1 as your consecutive odd integers and you will get the same solution.

5 0
4 years ago
Find the lengths of the missing side . Simplify all radicals !!!<br> help mee!!!!!!
larisa86 [58]

Answer:

e = 13\sqrt{2}

f = 13\sqrt{2}

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

sin(\theta) = \frac{opp}{hyp}

sin(\theta) = sin(45) = \frac{\sqrt{2}}{2}

hyp = 26

opp = e = ?

Plug in the values into the formula

\frac{\sqrt{2}}{2} = \frac{e}{26}

Multiply both sides by 26

\frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26

\frac{\sqrt{2}}{2}*26 = e

\frac{\sqrt{2}}{1}*13 = e

13\sqrt{2} = e

e = 13\sqrt{2}

Since side e is of the same length with side f, therefore, the length of side f = 13\sqrt{2}

3 0
3 years ago
Is -12.161616 rational
Mars2501 [29]

Answer:

depends

Step-by-step explanation:

If you mean just -12.161616, then it’s rational.

If you mean recurring decimal, then it’s not.

8 0
3 years ago
What is the awnser to this The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same numbe
Rudiy27

The two true statements are the second statement (both lines contain the point (0,0)) and the fourth statement (If the Wilson family buys 3 pizzas, they will get more slices than the Hernandez family).

<h3>Which is the correct statement?</h3>

First, we know that the Hernandez family orders 3 large pizzas, such that they cut each pizza in the same number of slices, getting a total of 24 slices.

Then the number of slices that they get for each pizza is:

24/3 = 8

So from each large pizza, they get 8 slices.

So the relation between the number of pizzas bought (x) and the number of slices (y) is:

y = 8*x

In the other hand for the Wilson family we have the relation:

y = 10*x

Where y and x are the same ones as the defined above.

Then the true statements are:

<em>"If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices."</em>

This is true because Wilson family cuts each pizza in 10 slices, while the Hernandez family cuts each pizza in 8 slices.

<em>"For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line."</em>

The point (0, 0) means that if they buy 0 pizzas, they get 0 slices, which is true, so both relations contain this point.

If you want to learn more about linear relationships:

brainly.com/question/4025726

#SPJ1

4 0
2 years ago
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