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jekas [21]
3 years ago
14

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

Mathematics
1 answer:
Temka [501]3 years ago
7 0
To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>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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3 years ago
Javier owns 200 shares on one company. On Tuesday, the stock price dropped $19 per share. What was the total change in value of
katrin [286]

Answer:

  -$3800

Step-by-step explanation:

Javier lost $19 on each of his 200 shares, so his total loss was ...

... 200 shares × $19/share = $3800

The portfolio lost $3800 in value on Tuesday.

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How do I solve this?
Vikentia [17]

Answer:

need help too

Step-by-step explanation:

8 0
3 years ago
A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

V = s^2h = 5324

h = 5324 / s^2

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top s^2

Side area 4sh

Total surface area A = s^2 + 4sh

We can substitute h = 5324 / s^2

A = s^2 + 4s\frac{5324}{s^2}

A = s^2 + 21296/s

To find the minimum of this function, we can take the first derivative, and set it to 0

A' = 2s - 21296/s^2 = 0

2s = 21296/s^2

s^3 = 10648

s = \sqrt[3]{10648} = 22

h = 5324 / s^2 = 5324 / 22^2 = 11

4 0
3 years ago
Can someone help me with this please
zavuch27 [327]

Answer:

8×

Step-by-step explanation:

you just add 7×+1 and the answer will be 8×

7 0
2 years ago
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