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3 years ago

Factor completely -x^2+3x+28

Mathematics

1 answer:

jarptica [38.1K]3 years ago

6 0

(7 - x)(x + 4) = -x² + 7x - 4x + 28

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What is the sum? 3 y / Y 2 + 7 y + 10 + 2 / y + 2

kap26 [50]

Answer:

5/(y+5)

Step-by-step explanation:

Perhaps you want the sum ...

$\dfrac{3y}{y^2+7y+10}+\dfrac{2}{y+2}\\\\=\dfrac{3y}{(y+2)(y+5)}+\dfrac{2(y+5)}{(y+2)(y+5)}=\dfrac{3y+2(y+5)}{(y+2)(y+5)}\\\\=\dfrac{5y+10}{(y+2)(y+5)}=\dfrac{5(y+2)}{(y+2)(y+5)}=\boxed{\dfrac{5}{y+5}}$

_____

Comment on rational expressions

When writing ratios in plain text, it is imperative to put parentheses around numerators and denominators. (If the numerator is a product only, then parentheses are optional.)

Your expression might be properly written as ...

3y/(y^2 +7y +10) +2/(y+2)

As you have written it, it simplifies to ...

3(y/y)2 +7y +10 +2/y +2 = 3·2 +7y +2/y +12

= 7y +2/y +18

Please note, too, the exponentiation symbol (^).

6 0

3 years ago

8. Add. 445,976 + 37,415 =

lions [1.4K]

483,391. You can line the, up vertically and then use simple arithmetic and carrying to solve this problem

5 0

2 years ago

All the names that apply to the number -1.5

Blababa [14]

-3/2 -15/10 this is called a negative number. Negative 1 and 5 tenths

8 0

3 years ago

If 1 inch represents 36 miles on a map, how many miles does 4 + 1/4 in represent

xeze [42]

Answer:

153 miles

Step-by-step explanation:

1 inch = 36 miles.

First, find the measurement of miles for 1/4 inch. Divide 36 with 4:

36/4 = 9

1/4 inch. = 9 miles.

Next, find the amount of measurement of miles per 4 inches:

4 x 36 = 144 miles.

Finally, combine the two measurements together:

144 + 9 = 153 miles.

153 miles is your answer.

5 0

3 years ago

Read 2 more answers

The tempeture of chicken soup is 192.7 degrees F. As it cools the tempeture of the soup decreases 2.3F per minute.

IrinaK [193]

Answer:

Step-by-step explanation:

To find the answer to Part A, we can turn this into a simple equation:

192.7 - (2.3 times 25) = temperature, the missing value.

So therefore, after 25 minutes pass, the temperature is equal to

192.7 - 57.5, or:

135.2 = Answer to Part A.

Now, onto Part B. We can use another equation!

192.7 - 2.3x = 100.7

Now, we must solve the given equation, first by taking 100.7 from each side:

192.7 - 2.3x = 100.7

-100.7 -100.7

We are now left with: 92 - 2.3x = 0 - we must now add 2.3x to 2.3x and 0, giving us this:

92 = 2.3x, which is equivalent to 920 = 23x, if that is what you prefer to solve.

To give us our missing value (x), we can divide 920 by 23, giving us: x = 40. This is the answer to Part B: 40 minutes.

I hope this was really helpful! Tell me if you need any more help.

6 0

2 years ago