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gogolik [260]
3 years ago
14

How many y intercepts does the graph of the parabola x = -y^2 + 4y - 4 have?

Mathematics
1 answer:
kumpel [21]3 years ago
5 0
It cant have more then two

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I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct
Bond [772]

Given the system of equations:

\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}

Step 2: Substitute the expression found for x in the first equation.

\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}

Then, divide both sides by 15.

\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

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1 year ago
Water is pouring into a container at a rate given by ri = t^3(gallons/hour), and water is pouring out of the same container at a
Reptile [31]
There are 400 you have to multiply
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3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
blsea [12.9K]
Can you send a picture of it? Then maybe I can help you answer it.
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3 years ago
Which shows the following expression after the negative exponents have been eliminated?
gregori [183]

<u>Answer:</u>

The correct answer option is \frac {a ^ 3 b^4 } {a b^2}.

<u>Step-by-step explanation:</u>

We are given the following expression and we are to figure out which of the given answer options show the expression after the negative exponents have been eliminated:

\frac {a^3 b^{-2}} {a b^{-4}}

When negative exponent changes sign, then it moves from numerator to denominator or from denominator to numerator.

\frac {a^3 b^4} {ab^2}

7 0
3 years ago
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I need to find the are
otez555 [7]
The area should be 48 in squared
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