Which expression can you simplify by combining like terms?

Amanda [17]

Answer:68 with the little two

Step-by-step explanation:

5 0

2 years ago

Smedley has two rolls of crepe paper, one with 30 yards and one with 40 yards. If he cuts both rolls into 5-yard streamers, how

Nastasia [14]

Answer:

He will have 14 streamers

6 0

2 years ago

Read 2 more answers

Find all the zeros of the function g(x)=x^3-4x^2-x+22

vagabundo [1.1K]

Answer:

x = -2, x = 3 − i√8, and x = 3 + i√8

Step-by-step explanation:

g(x) = x³ − 4x² − x + 22

This is a cubic equation, so it must have either 1 or 3 real roots.

Using rational root theorem, we can check if any of those real roots are rational. Possible rational roots are ±1, ±2, ±11, and ±22.

g(-1) = 18

g(1) = 18

g(-2) = 0

g(2) = 12

g(-11) = 1782

g(11) = 858

g(-22) = -12540

g(22) = 8712

We know -2 is a root. The other two roots are irrational. To find them, we must find the other factor of g(x). We can do this using long division, or we can factor using grouping.

g(x) = x³ − 4x² − 12x + 11x + 22

g(x) = x (x² − 4x − 12) + 11 (x + 2)

g(x) = x (x − 6) (x + 2) + 11 (x + 2)

g(x) = (x (x − 6) + 11) (x + 2)

g(x) = (x² − 6x + 11) (x + 2)

x² − 6x + 11 = 0

Quadratic formula:

x = [ 6 ± √(36 − 4(1)(11)) ] / 2

x = (6 ± 2i√8) / 2

x = 3 ± i√8

The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.

5 0

2 years ago

John's parents purchased their first home in the 1980s with a 30-year

slega [8]

Answer:

Option A,$ 1,832.91 is correct

Step-by-step explanation:

The monthly payment can be computed using the below pmt formula i excel shown below:

=pmt(rate,nper,-pv,fv)

rate is the monthly rate on the mortgage which is 17.5%/12=0.014583333

nper is the number of months of payment i.e 30*12=360

pv is the amount of the loan which is $125,000

fv is the total amount of repayment which is unknown

=pmt(0.014583333 ,360,-125000,0)=$ 1,832.91

The correct option is A,$ 1,832.91 which is the amount of money they need to pay back on the mortgage for 360 months

7 0

2 years ago

In the figure, WY¯¯¯¯¯¯¯¯¯WY¯ and XZ¯¯¯¯¯¯¯¯XZ¯ intersect at point VV, the measure of ∠WVZ∠WVZ is (11x−19)°(11x−19)°, and the me

Zepler [3.9K]

Assuming a diagram similar to the one I've attached, ∠YVZ is a vertical angle to ∠WVX, which means they have an equal measure. Additionally, ∠WVZ and ∠WVX form a linear pair, which means they are supplementary (sum to 180°). That means we start out with the equation
$(11x-19)+(8x+28)=180$
We combine our like terms (the x's get combined, then the constants get combined) and have:
$19x+9=180$
Cancel the 9 first by subtraction:
$19x+9-9=180-9 \\ 19x=171$
Cancel the 19 by division:
$\frac{19x}{19}= \frac{171}{19} \\ x=9$
Since we know that our angle we're looking for, ∠YVZ, is the same measure as ∠WVX, we substitute 9 in for x:
8(9)+28=72+28=100°

7 0

2 years ago