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3 years ago

What values are solutions of 0 =2xexponent of 2 -6x-8

Mathematics

1 answer:

Svetlanka [38]3 years ago

3 0

Answer:

x = -1 and x = 4

Step-by-step explanation:

Firstly solve the quadratic expression of

2x^2-6x-8 = 0....it gives you the two brackets of.....(2x-8)(x+1)=0

then...you equate the two brackets to 0.separately

2x-8 = 0....which gives you...x = 4...as the first solution..then..;

x+1 = 0....which gives you...x = -1...as the second solution

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Answer:

$\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {0.34} & {34\%} &{5-6}& {50} & {0.32} & {32\%} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}$

Step-by-step explanation:

Given

$\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {} & {} &{5-6}& {50} & {} & {} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}$

Required

Fill in the gaps

First, we calculate the total frequency:

$Total = \sum f$

$Total = 29+53+50+22+1$

$Total = 155$

The proportion (p) is calculated by:

$p = \frac{f}{Total}$

The percentage (P) is calculated by:

$P = p * 100\%$

For interval 7 - 8, we have:

$p = \frac{53}{155} = 0.34$

$P = 0.34 * 100\% = 34\%$

For interval 5 - 6, we have:

$p = \frac{50}{155} = 0.32$

$P = 0.32 * 100\% = 32\%$

So, the complete table is:

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