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MArishka [77]
4 years ago
12

PLEASE I NEED HELP ASAP!!!!

Mathematics
2 answers:
Svetllana [295]4 years ago
6 0
The vertex form is
y = a {(x - h)}^{2}  + k
where a is the coefficient, and (h,k) is the vertex. Looking at the graph, we see that the vertex is (-2,2), so h is -2 and k is 2. We see that the parabola opens upwards, so A is positive, and is stretched by a factor of 3. (We can find this by looking where the (1,1) should be. We go over 1 from the parabola, and see where the y coordinate is. This is at (-1,5), or 1 unit right and 3 units up.) Therefore, our a is 3. Plugging this into the vertex form:
y = 3 {(x + 2)}^{2}  + 2
Which is answer A
Black_prince [1.1K]4 years ago
6 0
Filling this spot in and agree that the answer is A. 
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Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?
maxonik [38]

Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

y=2^x\\\ln(y)=x \ln(2)

Implicitly differentiate the left side and take the derivative of the right side

\frac{y'}{y} =\ln(2)

Multiply both sides by 'y' which was defined as 2^x

y'=\ln(2)*2^x

Plug in x = 2 and x = 3 to see which slope is larger

y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)

4 0
3 years ago
Prove that can you please prove and explain it plz ​
Alexandra [31]

Answer:

Step-by-step explanation:

LHS = Sin² ∅ + Sin² ∅*tan² ∅

        = Sin² ∅ [1 + tan² ∅ ]                 {Sec² ∅ - tan² ∅  = 1}

         = Sin² ∅ *Sec² ∅

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         = Sin² ∅ /Cos² ∅

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8 0
3 years ago
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You invest 2,000,00 in stock plan and another in a saving account the stock plan decreases by 7% the first year and gains 10% th
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3 0
3 years ago
Kimberly wants to buy a new pair of jeans. If the jeans were originally $48.00, but are on sale with a 20% discount, how much wi
vovangra [49]

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Step-by-step explanation:

4 0
3 years ago
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Find the missing side. Round to<br> the nearest tenth.<br> Х<br> 28°<br> 15<br> x = [?]
Effectus [21]

Given:

The right triangle with base 15 and hypotenuse x.

The measure of angle between base and hypotenuse is 28 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

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In the given triangle,

\cos 28^\circ=\dfrac{15}{x}

x=\dfrac{15}{\cos 28^\circ}

x=\dfrac{15}{0.8829476}

x=16.98855

Round the value to the nearest tenth.

x\approx 17.0

Therefore, the value of x is 17.0 units.

8 0
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