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Mashutka [201]
2 years ago
13

A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (5, -4)(5,−4). What is the v

ertex of the function defined as g(x)=f(x)+2g(x)=f(x)+2?
Mathematics
1 answer:
S_A_V [24]2 years ago
8 0

The vertex of the function defined as g(x) = f(x) +2 according to the task content is; (5, -2).

<h3>What is the vertex of the function defined as g(x)?</h3>

It follows from the conventional method of representing quadratic equations in vertex form as follows;

y = a(x-h)² + k where the vertex is given as the point, (h,k).

Hence, if the function; g(x)=f(x)+2, it follows that the vertex of the function is; (5, -4+2);

= (5, -2).

Read more on vertex of a function;

brainly.com/question/26627449

#SPJ4

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Answer: (10.1989,\ 11.0011)

Step-by-step explanation:

Given : Sample size : n=69

Sample mean : \overline{x}=10.6

Standard deviation : s=1.7

Significance level : \alpha:1-0.95=0.05

Then , Critical value : z_{\alpha/2}=1.96

The formula to confidence interval is given by : -

\overline{x}\pm z_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\\Rightarrow\ 10.6\pm (1.96)\dfrac{1.7}{\sqrt{69}}\\\\\approx10.6\pm0.4011=(10.6-0.4011,10.6+0.4011)=(10.1989,\ 11.0011)

Hence, the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)

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In the figure, line m is parallel to line n. If the measure of ∠1 is 117º, what is the measure, in degrees, of ∠5?
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Step-by-step explanation:

Angle 5 is a corresponding angle to angle 1, so therefore if angle 1 is 117º, angle 5 is 117º.

Hope this helps!

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