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Zielflug [23.3K]
3 years ago
10

Simplify x^2+x-12/x^2+3x-4

Mathematics
1 answer:
zmey [24]3 years ago
8 0
The answer is \frac{x^4+4x^3-4x^2-12}{x^2}
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WILL GIVE BRAINLYIST
marysya [2.9K]

Answer:

64 degrees

Step-by-step explanation:

Since the triangles are similar they have the same angle measures

\frac{PR}{PQ} =\frac{SU}{ST}          \frac{21}{14}= \frac{6}{4}

∠P = ∠S ∠R =∠U ∠Q=∠T

We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U

In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula

A+B+C=180

46+70+C+180

116+C=180

subtract 116 from both sides

C=64

Therefore ∠Q is equal to 64 degrees

3 0
3 years ago
Daniel kicks a soccer ball and the trajectory is modeled by f(t) =− 16t^2+ 32t .
vagabundo [1.1K]

Answer:

f(1) = 16

Domain: 0 ≤ t ≤ 2

Step-by-step explanation:

Given

f(t) = -16t²+ 32t

Solving (a): f(1)

Substitute 1 for t in f(t)

f(t) =− 16t²+ 32t .

f(1) =− 16 * (1)²+ 32 * 1

f(1) = -16 * 1 + 32

f(1) = -16 + 32

f(1) = 16

Solving (b): The domain

The implication of the given parameter in (b) is that t ≤ 2.

Since t represents time, t can't be negative.

Hence, a reasonable domain is

0 ≤ t ≤ 2

3 0
2 years ago
Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 20
m_a_m_a [10]

Answer:

\text{Net accrual income}=\$31,600

Step-by-step explanation:

We have been given that Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 2018. In addition, Marigold performed services worth $39,000 in 2019, which will not be collected until 2020.

Let us find revenue earned in 2019 by subtracting revenue earned from 2018 and adding revenue earned in 2019 to total revenue as:

\text{Revenue in 2019}=\$104,000-\$24,400+\$39,000

\text{Revenue in 2019}=\$118,600

Marigold Industries also paid $73,900 for expenses in 2019. Of the amount paid, $29,100 was for expenses incurred on account in 2018. In addition, Marigold incurred $42,200 of expenses in 2019, which will not be paid until 2020.

Now, we will find expenses in 2019 by subtracting expenses in 2018 and adding expenses in 2019 to total expenses as:

\text{Expenses in 2019}=\$73,900-\$29,100+\$42,200

\text{Expenses in 2019}=\$87,000

To find accrual net-income, we will subtract$87,000 from $118,600 as:

\text{Net accrual income}=\$118,600-\$87,000

\text{Net accrual income}=\$31,600

Therefore, the net accrual income for 2019 would be $31,600.

5 0
2 years ago
Solve the following equation. Then place the correct mixed number in the box provided. 5x/7=22
natka813 [3]
We have that
<span> 5x/7=22
multiply by 7 both sides
5x=22*7-------> 5x=154
divide by 5 both sides
x=154/5
x=30.8--------> x=30 4/5

the answer is
x=30 4/5</span>
7 0
3 years ago
PLEASE HELP ALSO WILL GET THE BRAINIEST ANSWER!!!! ALSO SHOW YOUR WORK!!!!
MAVERICK [17]
I=PRT
I=Interest
P=principal
R=rate in decimal
T=time in years

1year=12months
72months/12months=6 years
t=6

given
I=8925
P=35000
R=r
T=6


8925=35000*r*6
8925=210000*r
divide both sides by 210000
0.0425=r

the interest rate is 4.25%
6 0
2 years ago
Read 2 more answers
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