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qwelly [4]
2 years ago
14

Pls I need help and a explanation

Mathematics
1 answer:
tresset_1 [31]2 years ago
7 0

Answer:

20) 7/16 = 0.4375

21) 1/6 = 1.6 repeating

22) 2 4/5 = 2.8

23) 98 2/3 = 98.6 repeating

24) 0.8 = 4/5

25) 26 1/5

26) 72.1 repeating = 72 1/9

27) 0.505 = 101/200

Explanation:

To convert fraction into decimal, divide the numerator by the denominator and that's your answer. For example:

7 ÷ 16 = 0.4375.

To convert a decimal into a fraction, place the number after the decimal point over the number place it's in. For example: If you look at 0.8 , 8 is in the tenths place, so you place it over 10 like this 8/10, and then you simplify. Half of 8 is 4 , and half of 10 is 5, so you'd have 4/5.

For #27, since 505 in 0.505 , is in the thousandths place, you'd put it over 1,000 like this 505/1000 and then you simplify. <u>Look</u><u> </u><u>at</u><u> </u><u>image</u><u> </u><u>above</u><u> </u><u>to</u><u> </u><u>learn</u><u> </u><u>how</u><u> </u><u>to</u><u> </u><u>simplify</u><u> </u><u>5</u><u>0</u><u>5</u><u>/</u><u>1</u><u>0</u><u>0</u><u>0</u>.⤴⤴⤴

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Answer:

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Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [x = \frac{-b}{2a}, h(\frac{-b}{2a})].

<h3>Use the equation:  [x = \frac{-b}{2a}, h(\frac{-b}{2a})]</h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

x = \frac{-b}{2a}

x = \frac{-8}{2(1)}

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Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

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