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Zolol [24]
3 years ago
8

If you apply these changes to the linear parent function, f(x) = x, what is the equation of the new function?

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

A, g(x) = 7x + 5

Step-by-step explanation:

applying these translations to the parent function f(x) = x, we would get the following equation:

g(x) = 7x + 5

a vertical compression is written before the parent function (in this case f(x)=x), and a shift up is written next to the function. both of these are without parentheses

the answer would be A, g(x) = 7x + 5

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In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 18 inches?
max2010maxim [7]

Answer:

9sqrt(3) in.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

      1        :   sqrt(3)  :          2

If the short leg measures 1, then the hypotenuse measures 2.

The length of the hypotenuse is twice the length of the short leg.

The length of the long leg is sqrt(3) times the length of the short leg.

If the hypotenuse measures 18 in., then the short leg measures 9 in.

Then the long leg measures 9sqrt(3) in.

8 0
2 years ago
Please help me, I'm doing a test.
Tju [1.3M]

Answer:

(3,4)

Step-by-step explanation:

first you're going to solve the equation -2x

your equation should now be: \left \{ {{-2x+3y\\=6} \atop {-2x=2-2y}} \right.

next you're going to substitute the given value of -2x into the equation -2x+3y=6

so your equation should now be: 2-2y+3y=6

next you're going to solve the equation for y

equation should now be: y=4

than you're going to substitute the given value of y into the equation -2x=2-2×4

then you're going to solve the equation for x

your equation should now be: x=3

then the possible solution of the system is the order pair: (x,y)=(3,4)

4 0
2 years ago
8 - 6x = 4 + 2x in verbal sentences
BartSMP [9]

Answer:

The difference of 6 times x subtracted from 8 is equal to the sum of 4 added to Twice x

6 0
2 years ago
The table below represents the closing cost of ABC for the last 5 days. What is the r -value of the linear regression that fits
Gnoma [55]

Answer:

The correct option is D.

Step-by-step explanation:

The linear regression equation is in the form of

y=bx+a

Where,

b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}

a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}

The formula of r is

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n(\sum x^2)-(\sum x)^2][n(\sum y^2)-(\sum y)^2]}}

The values are

\sum x=15,\sum y=98.91,\sum x^2=55,\sum y^2=1957.8295,\sum xy=293.78, n=5

Using above formula, we get

r=-0.85650

Therefore option D is correct.

3 0
3 years ago
Read 2 more answers
Help please ! Find the missing number in the table.
bulgar [2K]
If we take 771 to be the 100%, and increase it by 98%, thus 100% + 98% = 198.

now, if 771 is the 100%, what is the 198%?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
771&100\\
a&198
\end{array}\implies \cfrac{771}{a}=\cfrac{100}{198}\implies \cfrac{771\cdot 198}{100}=a
4 0
2 years ago
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