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3 years ago

What is the only solution of 2x2 + 8x = x2 - 16?

1 answer:

4 0

Assuming the equation is 2x^2+8=x^2-16
X= -4

Explanation:
(2x^2+8x)-(x^2-16)=0
You factor by splitting the middle term which gives you (x+4)^2=0
You then want to solve the single variable
(x+4)^2 represents a product of 2 terms which is equal to zero and since all these terms are equal to each other the equation should be x+4=0
Subtract 4 from both sides, you get x = -4

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse

Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}$

Removing the proportionality sign and introducing a constant k, we have

$\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

$\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}$

So, if it's an inverse variation, the relationship would be

$y=\frac{-14}{x}$

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

$\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}$

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

$y=\frac{-14}{x}$

3 0

1 year ago

Can anyone please help and write the equation ily

Kobotan [32]

Answer:

m - 3000

b - 2000

please correct me if i am wrong.

Step-by-step explanation:

6 0

3 years ago

What is (-14-x) squared in polynomial form?

Masteriza [31]

(-x-14)^2 = x^2 +14x+14x+196
which turns into x^2+28x+196.
hope this helps
and give thanks

6 0

3 years ago

Dean invests $500 for 10 years at a rate of 1.7% per year simple interest. Calculate the total interest earned during the 10 yea

Ann [662]

Answer: $85

Explanation:

4 0

3 years ago

a pizzeria sells a round pizza with the diameter of 24 inches. what is the area and what is the circumferance

Bond [772]

We have that
Area=pi*r²
D=24 in------------ > r=D/2=24/2=12 in

Area =pi*12²=452.16 in²

the circumference=2*pi*r=2*pi*12=75.36 in

the answer is
the area is 452.16 in² and the circumference is 75.36 in

3 0

3 years ago