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3 years ago

5

Solve the equation the square root of the quantity x minus 6 plus 2 equals 6 for the variable.

2 answers:

bogdanovich [222]3 years ago

8 0

X-6+2=6
6+2=8
8-6=2
X=2
2-6=4
4+2=6

Andrej [43]3 years ago

7 0

X-6+2=6
X=2
2-6=4
4+2=6

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Kelly earns $178.50 in interest on an account that earns simple interest at a rate of 4%. If she kept the money in the account f

Otrada [13]

Answer:

$892.50

Step-by-step explanation:

The amount of interest earned is given by ...

I = Prt

Filling in the given values, we have ...

$178.50 = P·0.04·5

Dividing by 0.20 gives ...

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2 years ago

What does a a isolate variable mean?

umka21 [38]

Answer:

Isolating a variable means rearranging an algebraic equation so that a different variable is on its own. The goal is to choose a sequence of operations that will leave the variable of interest on one side and put all other terms on the other side of the equal sign.

Step-by-step explanation:

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3 years ago

Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

Nataliya [291]

Answer:

$f(x)=\frac{1}{2}x^2-4x+5$

Step-by-step explanation:

A parabola is written in the form

$f(x)=a((x-h)^2+k)$ (1)

where:

$h$ is the x-coordinate of the vertex of the parabola

$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

$ak=-3$

From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

$f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3$ (4)

We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

So the equation of the parabola is:

$f(x)=\frac{1}{2}((x-4)^2 -6)$ (5)

Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

$f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5$

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3 years ago

(Will give brainliest if asked for)

GarryVolchara [31]

A. x <= -12

<u>Explanation:</u>

-3x >= 36

-x >= 36/ 3

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x < = -12

When the negative sign is shifted then the greater than equal to sign reverses to less than equal to.

Therefore, x <= -12

7 0

3 years ago

What is the difference of two numbers is 1 and their product is 56

den301095 [7]

Answer:

8 and 7

Step-by-step explanation:

8 -7 = 1

8*7 = 56

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2 years ago