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3 years ago

Three functions are given below f(x) g(x) and h(x) determine the axis of symmetry for each function show all calculations

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

6 0

Answer:

Step-by-step explanation:

f(x) = -2(x − 4^)2+ 2

The vertex is (4,2)

so the axis of symmetry is is x=4

g(x) = 5x^2− 10x + 7

h= -b/2a = 10/2(5) = 10/10 =1

The axis of symmetry is at x=1

h(x) the axis of symmetry is at x=-2

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Nana76 [90]

Answer:

A. 12 grams Zn

B. 280 g of copper.

Step-by-step explanation:

100 grams of brass

20 grams of zinc

100 grams of brass has 20 grams of Zn.

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When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the proba

Zarrin [17]

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

$z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25$

And

$z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}$

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

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3 years ago

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3 years ago

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Answer:

Step-by-step explanation:

A term in a polynomial is a single number or a number multiplied by any number of variables. A polynomial is a sum of terms.

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All expressions are polynomials except for D. In D., the negative exponents mean division by variables.

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