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igor_vitrenko [27]

3 years ago

13

lynn regulary works 40 hours a week and earns 16 per hour. she receive time and a half pay for each hour of overtime she works.

last week worked 43 hours

1 answer:

Crazy boy [7]3 years ago

5 0

Lyn made 16 per hour for 40 hours plus $24 per hour for 3 hours

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6(x + 2) - x = 4(x + 4) + 7<br> x = 11

Simora [160]

That’s right they both equal 67

6 0

4 years ago

Read 2 more answers

Please help me asap

Darya [45]

L = rc
= 26.9 * 9*3.14 / 5
= 152.04 to nearest 1/100

8 0

3 years ago

The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason

Nookie1986 [14]

Answer:

<h2>A.Multiplication Property of Equality</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}2x+2y=14\\-x+y=5&\text{\underline{multiply both sides by 2}}\end{array}\right\\\\\boxed{\underline{+\left\{\begin{array}{ccc}2x+2y=14\\-2x+2y=10\end{array}\right}}\qquad\text{add both sides of the equations}\\.\qquad\qquad4y=24\qquad\text{divide both sides by 4}\\.\qquad\qquad y=6\\\\\text{put the value of y to the second equation:}\\\\-x+6=5\qquad\text{subtract 6 from both sides}\\-x=-1\qquad\text{change the signs}\\x=1$

8 0

3 years ago

Read 2 more answers

Find a polynomial function of degree 3 with 2, i, -i as zeros.

sergiy2304 [10]

Answer:

$p(x)= x^3-2x^2+x-2$

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if $\alpha , \ \beta \ \& \ \gamma$ are the zeros of the cubic polynomial , then ,

$\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)$

Here in place of the Greek letters , substitute 2,i and -i , we get ,

$\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)$

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

$\sf \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}$

Simplify using i = √-1 ,

$\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )$

Multiply by distribution ,

$\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)$

Simplify by opening the brackets ,

$\sf\longrightarrow p(x)= x^3+x-2x^2-2$

Rearrange ,

$\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}$

4 0

2 years ago

Tim is a wildlife biologist studying deer parasites

Leto [7]

During a study, he finds that 12 out of 32 deer were affected by parasites. How many of the 1200 deer in the local population would he expect to be affected by parasites?

Answer:

450

3 0

3 years ago