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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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Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre
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Answer: No, Cammie is not correct. She can mow  1\frac{1}{5}\ acres in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow \frac{1}{2}\ acre in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

\frac{\frac{1}{2}}{25}=\frac{x}{60}

Solving for "x", you get:

\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

x=1\frac{1}{5}

Therefore, she can mow  1\frac{1}{5}\ acres in one hour.

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Step-by-step explanation:

just add 2 then subtract 2

4 0
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Vesnalui [34]

Answer:

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Step-by-step explanation:

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25 is what percent of 20?
denis-greek [22]

Answer:

20 is 80% of 25

Step-by-step explanation:

We assume, that the number 25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 25, so we can write it down as 100%=25.

4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.

5. Now we have two simple equations:

1) 100%=25

2) x%=20

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=25/20

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 25

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100/1.25=x

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