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aalyn [17]
3 years ago
13

The function f(x) = x^2 - 2x + 8 is transformed such that g(x) = f(x-2). Find the vertex of g(x).

Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

Step-by-step explanation:

Since g(x) is f(x-2), every time there is a "x" in the f(x) equation, substitute "x-2". So g(x) would be (x-2)^2-2(x-2)+8. Use the method of trial and error: substitute x as 1,-1, and 3, until you found the right vertex. The answer is B (3,7).

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Mario works at a snack bar near the beach for 2 hours each Saturday. one Saturday, he started with 30 bottles of juice and sold
PSYCHO15rus [73]

Answer:

12 bottles were sold in the second hour.

Step-by-step explanation:

This problem can be solved by implementing an equation in one variable.

The equation will utilize the given values including total bottles of juice, the amount of juice sold in the first hour and amount of juice remaining at the end.

The equation will also consist of the value to be found out, the amount of juice sold in the second hour.

The value to be found out is substituted by a variable.

The equation is then solved by transfer of values and/or variable on the opposite side of the equal sign.

When a value/ variable is transferred on the opposite side of the equal sign, the sign of the value/ variable becomes the opposite.

The negative sign becomes positive and multiplication becomes division, and vice-versa.

1. In the first hour, \frac{3}{15} of all the juice was sold.

\frac{3}{15} of 30 is calculated as

\frac{3}{15} x 30 = 6

6 bottles are sold in the first hour.

2. At the beginning of the second hour, the amount of juice remaining is assumed to be a.

3. As per the question, at the end of second hour, the remaining juice is \frac{6}{15}.

\frac{6}{15} of 30 is calculated as

\frac{6}{15} x 30 = 12

12 bottles are remaining at the end of the second hour.

4. Alternatively, at the end of second hour, 30 - 6 - a of the juice is remaining.

We get, 24 - a bottles are remaining at the end of the second hour.

We equate the above expression with 12, we get the following equation.

24 - a = 12

Next, we transfer a from left side to the right side of the equation.

24 = 12 + a

Next, we transfer 12 from right side to the left side of the equation.

24 - 12 = a

=> 12 = a

OR

a = 12

Hence, 12 bottles were sold in the second hour.

5 0
3 years ago
Shari is adding these fractions: <br><br> 1/3 + 1/4<br><br> What's her next step?
Arlecino [84]

Her next step is to find a common denominator. Remember that if you multiply a number to the denominator, you'll have to multiply it to the numerator too:


1/3(4/4) + 1/4(3/3)


4/12 + 3/12


Simplify. Combine like terms


4/12 + 3/12 = 7/12


7/12 will be final solution



hope this helps

7 0
3 years ago
Read 2 more answers
Jackie has a maximum of $450 to spend on shirts and jeans. The shirts she wants to buy are $12 each, including tax. The jeans sh
Sloan [31]

Answer: 12s+27j≤450

Step-by-step explanation:

From the question, we are informed that Jackie has a maximum of $450 to spend on shirts and jeans and that the shirts she wants to buy are $12 each, including tax while the jeans she wants to buy are $27 each, including tax.

The inequality that represents all possible combinations of s, the number of shirts, and j, pairs of jeans, Jackie can buy will be:

= 12s+27j≤450

4 0
3 years ago
A reasonable estimate of the
lyudmila [28]

Answer:

t

f

t

t

f

f

Step-by-step explanation:

6 0
2 years ago
Evaluate 2(N + 3) if n = 5 show your work
algol [13]

ANSWER:

N = 16

STEP BY STEP EXPLANATION:

2(5+3)

2(5+3)

n=16

6 0
3 years ago
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