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pashok25 [27]
3 years ago
9

Find the solution to the system of equation select all that apply y=x^2-4 y=2x-5

Mathematics
1 answer:
storchak [24]3 years ago
7 0
Answer: x = 1, y = -3

Explanation: Use the method of substitution we get:

y = x^2-4
y = 2x-5

By substitute:

x^2-4=2x-5

Then we can solve the equation for x

x^2-4-2x+5=0
x^2-2x+1=0

Now solve the quadratic equation by factoring we get:

x^2-2x+1=0
(x-1)(x-1)=0
x-1=0
x = 1

Now that we have found x we can substitute x to the equation:

y = x^2-4
y=1^2-4
y=-3

y=2x-5
y=2(1)-5
y=-3

So there you have it :)
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Which number line correctly shows 1.5 + 2.5?​
Juli2301 [7.4K]

Answer: The first one.

Step-by-step explanation:

Since 1.5 + 2.5 = 4, and the only graph that has an arrow pointing to 4 is the first one, then the first number line is the correct answer.

Hope this helps :)

4 0
2 years ago
Read 2 more answers
What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?
atroni [7]
<h2>Answer-Average rate of change(A(x)) of f(x) over a interval [a,b] is given by:</h2><h2 /><h2>A(x) = \frac{f(b)-f(a)}{b-a}A(x)= </h2><h2>b−a</h2><h2>f(b)−f(a)</h2><h2> </h2><h2> </h2><h2 /><h2>Given the function:</h2><h2 /><h2>f(x) = 20 \cdot(\frac{1}{4})^xf(x)=20⋅( </h2><h2>4</h2><h2>1</h2><h2> </h2><h2> ) </h2><h2>x</h2><h2> </h2><h2 /><h2>We have to find the average rate of change from x = 1 to x= 2</h2><h2 /><h2>At x = 1</h2><h2 /><h2>then;</h2><h2 /><h2>f(x) = 20 \cdot(\frac{1}{4})^1 = 5f(x)=20⋅( </h2><h2>4</h2><h2>1</h2><h2> </h2><h2> ) </h2><h2>1</h2><h2> =5</h2><h2 /><h2>At x = 2</h2><h2 /><h2>then;</h2><h2 /><h2>f(x) = 20 \cdot(\frac{1}{4})^2=20 \cdot \frac{1}{16} = 1.25f(x)=20⋅( </h2><h2>4</h2><h2>1</h2><h2> </h2><h2> ) </h2><h2>2</h2><h2> =20⋅ </h2><h2>16</h2><h2>1</h2><h2> </h2><h2> =1.25</h2><h2 /><h2>Substitute these in above formula we have;</h2><h2 /><h2>A(x) = \frac{f(2)-f(1)}{2-1}A(x)= </h2><h2>2−1</h2><h2>f(2)−f(1)</h2><h2> </h2><h2> </h2><h2 /><h2>⇒A(x) = \frac{1.25-5}{1}=-3.75A(x)= </h2><h2>1</h2><h2>1.25−5</h2><h2> </h2><h2> =−3.75</h2><h2 /><h2>therefore, average rate of change of the function f(x) from x = 1 to x = 2 is, -3.75</h2>

<h2>Please Mark me as brainlist. </h2>

8 0
3 years ago
What is the correct solution to 1/2(x+18)=4(2x-6)-9x
denis-greek [22]

Answer:

x = 22

Step-by-step explanation:

I interpreted your problem as:

\frac{1}{2} (x+18) = 4(2x-6)-9x

I simplified the problem to:

\frac{1}{2} x+9 = 8x-24-9x

I combined like terms:

\frac{1}{2} x+9 = -x-24

I moved all x to one side and all other constants to the other:

\frac{3}{2} x = -33

I divided by 3/2 (1.5) on both sides to isolate x:

x = 22

Hope it helps! (:

4 0
3 years ago
A veterinarian weighs three cats. The American Shorthair weighs 13.65 pounds. The Persian weighs 13.07 pounds, and the Maine Coo
Alex_Xolod [135]

Answer:

Persian, Maine Coon, American Shorthair

13.07, 13.6, 13.65

Step-by-step explanation:

I hope this helped!

7 0
3 years ago
Consider the equation 1.5 x plus 4.5 y equals 18.
Otrada [13]
1.5x will be the very answer
6 0
3 years ago
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