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hammer [34]
2 years ago
12

Y=x^2-3x-6x+y=2Help 50 Points!!! Show Work

Mathematics
2 answers:
Alborosie2 years ago
5 0
X + y = 2 —> y = 2 - x
insert to first equation
2-x=x^2-3x-6
x^2 - 3x - 6 - 2 + x = 0
x^2 - 2x - 8 = 0
(x-4)(x+2) = 0
x = 4 or x = -2
Zigmanuir [339]2 years ago
4 0

Answer:

x=-2 and y=4 or x=4 and y=-2

Step-by-step explanation:

put the value for y (first equation) in for the y in the second equation so it is x+x^2-3x-6=2

simplify

x^2-2x-8=0

factor and you get (x-4)(x+2)=0

(x-4)=0.      x=4

x+2=0        x=-2

now insert that back into x+y=2

and you get

y=-2

y=4

respecitvely

Hope this helps :)

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Acellus
kipiarov [429]

By taking the product of the two fractions we will see that the number that goes in the green box is a 6.

<h3>How to add two fractions?</h3>

We only can add two fractions if we have the same denominator in both of them, here we want to transform -2/3 in an equivalent fraction, such that the denominator is 9, so we multiply both the numerator and denominator by 3.

So we need to solve:

\frac{-2}{3}*\frac{3}{3} = \frac{-2*3}{3*3}  = \frac{-6}{9}

From that, we can conclude that the number that goes in the green box is 6.

If you want to learn more about fractions, you can read:

brainly.com/question/11562149

7 0
2 years ago
Complete the equation that represents the total value of the nickels and p pennies
vovikov84 [41]

Answer:

<em>Answers below</em>

Step-by-step explanation:

<u>Equation</u>

Let's call:

p = number of pennies Janesa has in her pocket

n = number of nickels Janesa has in her pocket

She has 24 coins in total, thus:

p + n=24\qquad\qquad [1]

Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:

0.01p+0.05n=1

Multiplying by 100:

p+5n=100\qquad\qquad [2]

A. Completing the equation:

5n+p=100

B.

From [1]:

p=24-n

Substituting into [2]:

24-n+5n=100

Simplifying:

24+4n=100

Rearranging:

4n=100-24=76

n=76 / 4= 19

p=24-19=5

B. There are 5 pennies in Janesa's pocket

C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05

The total value of the pennies is $0.05

D. The total value of the nickels is 19*$0.05 = $0.95

E. Jackson should say she has 19 nickels and 5 pennies

5 0
2 years ago
Read 2 more answers
Linda and Rob open an online savings account that has a 2.89% annual interest rate, compounded
sp2606 [1]

Answer:

FV= $34,222.33

Step-by-step explanation:

<u>First, we need to calculate the weekly interest rate:</u>

Weekly interest rate= 0.0289/52= 0.00056

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= weekly deposit

n= 15*52= 780

A= $35

FV= {35*[(1.00056^780) - 1]} / 0.00056

FV= $34,222.33

4 0
2 years ago
Aviation:
kolezko [41]

Change in altitude:

42,000 - 18,000 = 24,000 feet

Rate of change  = 24,000 feet / 12 minutes = 2,000 feet per minute

Because the plane was going down, the rate of change would be negative.

The rate would be -2,000 feet per minute.

8 0
2 years ago
Write a rule in words and as an algebraic expression to model the relationship in each table
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The cost is the number of videos (V) times the cost of a video, plus the monthly fee.

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