3 years ago

Choose the graph represents the function y-3=3/2(x-4)?

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Hope this helps have a nice day! :)

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if you work and 8 hour shift on each weekend day and take two weeks off during the year, how many hours will you work in a year?

otez555 [7]

$365:7=52 \frac{1}{7} \rightarrow\ the\ number\ of\ weeks\ in\ year\\\\52 \frac{1}{7}-2=50 \frac{1}{7}\\\\50 \cdot5+1=251\ \ \ \rightarrow\ \ \ number\ of \ workday\\\\251\cdot8=2008\ (hour/year)\ \leftarrow\ Ans.$

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4 years ago

Read 2 more answers

I need help on number 16 these instructions say to solve these equations by cross multiplying

Grace [21]

Answer:

15. x = 4

16. a = 19

Step-by-step explanation:

"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."

$\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}$

This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:

x = 6(2/3) = 4

That is, rather than multiplying by the <em>product of the denominators</em>, sometimes the problem can be solved more easily if you multiply by their <em>least common multiple</em>.

$\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}$