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3 years ago

The vertex of this parabola is at (-3, 6). Which of the following could be its equation?

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

Since the vertex is at (-3, 6), the equation is given by
y = a(x + 3) + 6

Therefore, option A is the correct answer.

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Which sentences represent the inequality? check all that apply. 2.1 (-1.2x) greater-than-or-equal-to 8 the sum of 2.1 and –1.2 t

devlian [24]

The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.

<h3>Inequality functions</h3>

Inequality are expressions not separated by an equal sign, Given the inequality;

2.1 + (-1.2x) ≥ 8

The sign ≥ means greater than or equal to

The expression 2.1 + (-1.2x) ≥ 8 can also be expressed as 2.1 - 1.2x ≥ 8

The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.

Learn more on inequality here: brainly.com/question/11613554

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3 0

2 years ago

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What is tan(x)= 50÷30

Contact [7]

20 because you are doing 50-30=20 adding x so it would be 20x

6 0

3 years ago

PLEASE HELP I AM SO CONFUSED

Natasha2012 [34]

Answer:

a) h(3) = 9

b) h(0) = 6

c) h(6) = 4

Step-by-step explanation:

Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

$\sf h(x)=\begin{cases}\sf \dfrac{x^2-36}{x-6} &\textsf{if }x\neq 6\\\\\sf 4 & \textsf{if }x=6\end{cases}$

Therefore, the function has two definitions:

$\sf h(x)=\dfrac{x^2-36}{x-6} \quad \textsf{when x does not equal 6}$

$\sf h(x)=4 \quad \textsf{when x equals 6}$

Part (a)

h(3) means to substitute x = 3 into the function.

As x does not equal 6, substitute x = 3 into the first piece of the function:

$\begin{aligned}\sf \implies h(3) & =\sf \dfrac{(3)^2-36}{(3)-6}\\\\ & = \sf \dfrac{9-36}{-3}\\\\ & = \sf \dfrac{-27}{-3}\\\\ & = \sf 9\end{aligned}$

Part (b)

h(0) means to substitute x = 0 into the function.

As x does not equal 6, substitute x = 0 into the first piece of the function:

$\begin{aligned}\sf \implies h(0) & =\sf \dfrac{(0)^2-36}{(0)-6}\\\\ & = \sf \dfrac{0-36}{-6}\\\\ & = \sf \dfrac{-36}{-6}\\\\ & = \sf 6\end{aligned}$

Part (c)

h(6) means to substitute x = 6 into the function.

As x equals 6, then use the second piece of the function:

$\sf \implies h(6)=4$

Learn more about piecewise functions here:

brainly.com/question/11562909

brainly.com/question/28151925

7 0

1 year ago

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Multi-step equation help me out with it -3x + 25 + x + 21 = 2

julsineya [31]

Answer:

Step-by-step explanation:

Put all the other numbers at the right side of the equation.

-3x + 25 + x + 21 = 2 is the same as -3x + x = -44

-2x = -44

-x = -22

x = 22

4 0

1 year ago

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write a recursive formula for the sequence 15,26,48,92,180, ... find the next term

klemol [59]

Answer:

The nth term is Tn = 2[T(n- 1) -2]

The next term is 356

Step-by-step explanation:

Given

Terms: 15,26,48,92,180

Solving (a) : The recursive n term

We have:

T1 = 15

T2 = 26 = 13 * 2 = (15 - 2) * 2

T3 = 48 = 24 * 2 = (26 - 2) * 2

T4 = 92 = 46 * 2 = (48 - 2) * 2

T5 = 180 = 90 * 2 = (92 - 2) * 2

So, the nth term can be represented as:

Tn = [T(n-1) - 2] * 2

Tn = 2[T(n-1) - 2]

The next term is the 6th term.

So, substitute 6 for n in the above formula.

T6 = 2 * [T(6 - 1) - 2]

T6 = 2 * [T5 - 2]

Substitute 180 for T5

T6 = 2 * (180 - 2)

T6 = 2 * 178

T6 = 356

4 0

3 years ago