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3 years ago

What is the vertex of the absolute value function defined by ƒ(x) = |x + 5| + 7?

1 answer:

7 0

To answer this, you need to know the general form of an absolute value function. the equation for this is f(x) = a|x - h| + k, and in this equation, the vertex is (h, k).

with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.

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Help the question is on the image.

Phantasy [73]

Answer:

$\boxed {tan\theta = \frac{2}{3}}$

Step-by-step explanation:

Let's derive a formula :

⇒ Area (triangle) × 3 = Area (square)

⇒ 1/2(bh) × 3 = a²

∴ But a = h (shown in diagram)

⇒ 3/2(bh) = h²

⇒ h = 3b/2

Now, taking tan θ :

⇒ tan θ = b/h

⇒ tan θ = b/(3b/2)

⇒ tan θ = 2b/3b

⇒ tan θ = 2/3

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2 years ago

What it's "Linear Regression"?

Flauer [41]

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3 years ago

Read 2 more answers

What is the range if the function in this table?

Lana71 [14]

The range of a function is the set of y-values the function contains. Thus, in this case, the range would be the set of values under the y column, as this represents the y-values the function produces.

We see "2, 3, 4, 2" under the y column. Since we are establishing a set of values, we are going include all the values under the column, which includes 2, 3, and 4. We are not going to repeat the second 2 because it isn't necessary, as 2 is already in the set thus.

Thus, the final set for the range of the function is {2, 3, 4}, or Choice A.

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3 years ago

Vina has $4.70 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and four more nickels than qua

Aneli [31]

Step-by-step explanation:

Vina has $4.70 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and four more nickels than quarters. How many of each coin are in her purse?

nickels

dimes

quarters

4 0

3 years ago

How the heck do I do this I’m having a crisis there is a test on Thursday

iren [92.7K]

Answer:

Common factor from the two pairs

n2+2n-n-2 or

n(n+2)-1(n+2)

Rewrote in factored form

n(n+2)-1(n+2)or

(n-1)(n+2)

Solution

(n-1)(n+2)

4 0

2 years ago