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dexar [7]
2 years ago
8

Will mark brainliest IF you explain and solve

Mathematics
1 answer:
TEA [102]2 years ago
4 0

Answer:

A) y = (x + 3)² + 4

B) y = (x - 3)² + 2

C) y = (x - 1)² - 5

Step-by-step explanation:

2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)

As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to

"+ 4" to shift the curve upward by 2

y = (x + 3)² + 4

When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)

This means that the term in parenthesis must be zero with our desired x value

(3 + C)² = 0

3 + C = 0

C = -3

y = (x - 3)² + 2

4 units right and 7 units down mean that the vertex is desired at (1, -5)

(1 + C)² = 0

C = -1

y =  (x - 1)² - 5

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Answer:

(4,-3)

Step-by-step explanation:

Multiplying the bottom equation by -6, we get -6x+12y=-60.

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So, it follows that 6x+3(-3)=15, and thus x=4.

4 0
1 year ago
Find the sixth term of the geometric sequence<br> 9, 18, 36, ...
timama [110]

Answer:

This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as

\begin{gathered}a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288\end{gathered}an=arn−1, where a=initial term, r=common ratio, n=term numberan=9(2n−1)a6=9(25)a6=288

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AysviL [449]

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
. One car traveled 210 miles and drove 20 mph hour faster than a second car drove 150 miles. If the cars were traveling for the
inn [45]

Answer:

The first car was traveling 70 mph, while the second was driving 50 mph.

Step-by-step explanation:

Set the cars as a proportion:

\frac{210}{x + 2}  =  \frac{150}{x}

X represents the speed of the second car. By cross multiplying, you get the following equation:

210x = 150(x + 20)

You solve by distributing 150 to get 210x = 150x + 3000.

Solving for x gets you 50.

That means the first car was going at 50 mph. Adding 20, you get 70 as the speed for the second car.

4 0
2 years ago
You need to fill a cylindrical glass with water. the glass is 6 inches tall and 2
Maurinko [17]
Answer:
volume = pi x r^2 ×h
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4 0
2 years ago
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