Factor the expression d2-8d +16

Mathematics

1 answer:

UNO [17]3 years ago

4 0

2(-3d+8)

Factor out the 2:
d x 2 -8d+16 —> 2(d-4d+8)

Collect like terms:
2(-3d+8)

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a school netball team won ten matches , lost four and drew 1/8 of the total played . how many matches were drawn and what fracti

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The school net ball team drew 2 matches. The team won $\frac{5}{8}$ of total matches played

<h3><u>Solution:</u></h3>

Given, A school netball team won ten matches, lost four and drew $\frac{1}{8}$ of the total played

Let the total number of matches played be "n"

Number of matches drawn = $\frac{1}{8}$ of n

<em>Total matches played = number of won matches + number of lost matches + number of drawn matches</em>

$\begin{array}{l}{n=10+4+\frac{1}{8} n} \\\\ {n-\frac{1}{8} n=10+4}\end{array}$

Taking "n" as common from left hand side,

$\begin{array}{l}{\mathrm{n}\left(1-\frac{1}{8}\right)=14} \\\\ {\mathrm{n} \times \frac{8-1}{8} \quad 14} \\\\ {\mathrm{n} \times \frac{7}{8}=14} \\\\ {\mathrm{n}=16}\end{array}$

So, they played 16 matches in total

Number of matches drawn = $\frac{1}{8}$ of n = $\frac{1}{8} \times 16 = 2$ $\text { Fraction of won matches }=\frac{\text { number of matches won }}{\text { number of matches played }}=\frac{10}{16}=\frac{5}{8}$