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4 years ago

Solve y = x2 +7 for x.

Mathematics

1 answer:

FromTheMoon [43]4 years ago

3 0

$\huge\boxed{x=\sqrt{y-7}}$

We are trying to isolate $x$ . Subtract $7$ from both sides. $y-7=x^2$

Find the square root of both sides. $\boxed{\sqrt{y-7}}=x$

Note: I've attached a graph of $y=x^2 +7$ .

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Principal==12,000 interest is 5.6%..for 5 years.how much interest will I pay.

Keith_Richards [23]

Answer:

Step-by-step explanation:

IF Simple interest; Simple Interest formula would be

S.I = Principal *rate * time

Principal = 12,000

rate = 5.6% or 0.056 as a decimal

time = 5 years

therefore S.I = 12,000 * 0.056 * 5

S.I = 3,360

Therefore, based on simple interest, you will pay $3,360 in interest.

IF Compound interest, the formula would be;

Compound interest = [ Principal *(1+rate )^t ] - Principal

= [ 12,000*(1+0.056)^5 ] -12,000

= [12,000*1.313165883] - 12,000

=15,757.9906 -12,000

= 3,757.9906

Therefore, based on compounding, you will pay $3,757.9906 in interest.

3 0

4 years ago

F(x)=x^2 g(x) = (x– 9)^2 +3 We can think of g as a translated (shifted) version of f.

Vinil7 [7]

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

The given functions are

$f(x)=x^2$

$g(x)=(x-9)^2+3$

If f(x) is a parent function, then g(x) can be written in the form of f(x) as

$g(x)=f(x-9)+3$ ...(1)

The translation is defined as

$g(x)=f(x+a)2+b$ ... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

$a=-9,b=3$

It means, to get the function g, shift f up by 3 units and to the right by 9 units.

8 0

3 years ago

Help im stupid plzzzzz

Marianna [84]

Answer:

the third option: x + 2(2x - 4) = 10

Step-by-step explanation:

the question tells you that y = 2x - 4.

so, instead of writing y in the equation, just replace it with 2x - 4.

x - 2y = 10

becomes

x - 2(2x-4) = 10

4 0

3 years ago

Write the number that matches the clues. My number has the same number of tens as ones. It has 1 thousand and no hundreds. The s

Marizza181 [45]

1044 because 4+4+1=9. Hope I helped =)

3 0

3 years ago

If you wanted to draw the trend line for the given scatter plot, you would what.

irina [24]

Trendline is drawn over the data points of the scatter plot in order to project which way the plot is directed. If we want to draw the trend line, we should consider the points that will best represent the data. Therefore, the answer to this item is letter C.

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4 years ago

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