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Dominik [7]
3 years ago
8

Which function is the result of translating ƒ(x) = x2 + 14 to the right 5 units and down 6 units?

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0

Answer:

c

Step-by-step explanation:

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
How many hours will it take to prepare 900 bags of samples if ashely and her 5 friends do the work
Lerok [7]
5 hours to do all the bags<span />
5 0
3 years ago
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If I have (-2, 7) and (6, y) distancia = 10 . How can I find y?
shusha [124]

Answer:

y = 13

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (6, y)

d = \sqrt{(6+2)^2+(y-7)^2}, that is

d = \sqrt{8^2+(y-7)^2} = 10

\sqrt{64+(y-7)^2} = 10 ← square both sides

64 + (y - 7)² = 100 ( subtract 64 from both sides )

(y - 7)² = 36 ← take the square root of both sides

y - 7 = 6 ( add 7 to both sides )

y = 13

7 0
3 years ago
Want to learn symmetry?<br>​
Zanzabum

Answer:

yea

Step-by-step explanation:

4 0
3 years ago
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What is the cube root of 27?<br><br> A.3<br> B.4<br> C.5<br> D.6
frosja888 [35]
It will be 3 cause 3 cubed is 27
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4 years ago
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