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Makovka662 [10]
3 years ago
13

The function f(x) = x2 is transformed to f(x) = 6(x − 7)2. Which statement describes the effect(s) of the transformation on the

graph of the original function?
Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

The vertex moves 7 to the right and the parabola becomes thinner unless adjusted

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In 2012, New York had a population of about 19 million people,
alexandr1967 [171]

Answer:

B(if the option is 10^7 instead of  107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

7 0
2 years ago
Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
3 years ago
What is the simplified form of x+2/x^2-3x-10 * x-3/x^2+x-12
Vinvika [58]
I mean based on your possible answers, the third one is correct,but you can go further that that, in the steps i will note when you've came to the "answer"

\frac{x + 2}{  {x}^{2}  - 3x - 10  }  \times  \frac{x - 3}{ {x}^{2} + x - 12 }
\frac{x + 2}{ {x}^{2} + 2x - 5x - 10 }  \times  \frac{x - 3}{ {x}^{2} + 4x - 3x - 12 }
\frac{x + 2}{x(x + 2) - 5(x + 2)}  \times  \frac{x - 3}{x(x + 4) - 3(x + 4)}
\frac{x + 2}{(x + 2) \times (x - 5)}  \times  \frac{x - 3}{(x + 4) \times (x  - 3)}
\frac{1}{(x + 4) \times (x + 5)}
and basically that's the "answer", but you can simplify more.

\frac{1}{ {x}^{2}  + 4x - 5x - 20}
\frac{1}{ {x}^{2} - x - 20 }
Hope that's helpful
3 0
3 years ago
First 5 multiples of 7
GarryVolchara [31]

Answer: 0, 7, 14, 21, and 28

Step-by-step explanation: To find the first 5 multiples of 7, multiply 7 by the first 5 whole numbers which I have done for you in the image attached.

To quickly review, the set of whole numbers are shown below.

{0, 1, 2, 3, 4, ...}

The numbers that I have highlighted in green will be your first 5 multiples.

7 0
3 years ago
The slope between two points found in quadrant I is always positive
Pani-rosa [81]
Yes that is the correct answer
5 0
3 years ago
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