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3 years ago

Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x + 2)^2 - 3

1 answer:

8 0

<span>y = 2(x + 2)^2 - 3 has the form y = a(x-h)^2 + k.

Here, a=2, h=-2 and k=-3.

This is a quadratic function. Its graph is a vertical one which opens up (we know that because a = 2 is positive). Its vertex is (-2, -3). Because the graph opens up, (-2, -3) represents the minimum of this function.

The domain of any and all polynomial(s) includes "all real numbers."
The range is the set of possible outputs (y-values) and is (-3, infinity).</span>

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Mkey [24]

The second one because 4d x c is the correct answer

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3 years ago

Which number line represents the solution set for the given inequality x + 1 < (or equal to) -3 OR -4x < -8

vampirchik [111]

we are given inequalities as

$x+1\leq -3$

Subtract both sides by 1

$x+1-1\leq -3-1$

$x\leq -4$

so, we get interval as

$(-\infty,-4]$

we have

$-4x$

we can divide both sides by -4

$\frac{-4x}{-4} >\frac{-8}{-4}$

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$(2,\infty)$

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we get

8 0

3 years ago

Read 2 more answers

What is the gradient of the blue line

alexandr402 [8]

The gradient is also known as the slope and we can find it using the slope/gradient formula: (y2 - y1) / (x2 - x1)

To find the gradient/slope, we need to first choose two points on the line. You can choose any two points you like, as long as they are on the line you are trying to find the slope of.

Point 1 = (2,2)

Point 2 = (5,8)

Now, we can plug in these points to the formula and solve.

(8 - 2) / (5 - 2)

6 / 3

The gradient of the blue line is 2.

Hope this helps!! :)

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3 years ago

What is the answer to the question 83%of 408

Nadusha1986 [10]

Answer:

338.64

Step-by-step explanation:

set up a proportion x/408=83/100 cross multiply you get 338.64

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2 years ago

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I had $80.45 in my bank account on Monday. I deposited $20.50 on Tuesday, Wednesday, and Thursday. I then withdrew $37.25 on Fri

brilliants [131]

Answer:

$104.70

Step-by-step explanation:

The equation would be set up like this: 80.45 + 20.50(3) - 37.25. You started off with $80.45 in your bank account and deposited, or added, $20.50 every day on Tuesday, Wednesday and Thursday. That would mean you added $20.50 three times. Adding $80.45 + $20.50 + $20.50 + $20.50, simplified to $80.45 + $20.50(3) would get you $141.95 in total. Then, on Friday, you withdraw $37.25, getting the equation $141.95 - $37.25, leaving $104.70 for the weekend.

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4 years ago

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