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oksian1 [2.3K]
3 years ago
15

Help me, I got the answer 4 but I’m not positive on it

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

20

Step-by-step explanation:

DE+DF=8x

DE+DF=32

8x=32

X=4

Since there is 5x in DE

5(4)=20

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Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
A pool is being drained at a rate of 120 gallons per minute.What is this rate in quarts per hour?
zysi [14]
There are 4 quarts in 1 gallon, so a rate of 120 gallons per minute converts to 4 x 120 = 480 quarts per minute. To find the per hour rate, we simply multiply our per minute rate by 60, obtaining 480 x 60 = 28800 quarts per hour.
7 0
3 years ago
while shopping at a clearence sale samantha finds a $60 dress on sale for 25% off. samantha also finds a 50% off coupon.
tatuchka [14]
She would pay 15 dollars for the dress because it would be 75 percent off. 

6 0
3 years ago
What is the midline equation for the function h(x)=−3cos(πx+2)−6?
Rus_ich [418]

Answer:

y = -6

Step-by-step explanation:

y=acos(bx+c)+d

d = -6  .. vertical shift

midline: y = -6

6 0
3 years ago
Pls help i cant get this question :(
sukhopar [10]

Answer:

A

Step-by-step explanation:

X<2

Everything before 2 on the X-Axis will be shaded.

< are broken lines, ≤ are solid lines.

3 0
3 years ago
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