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3 years ago

Writ the rule that represents the function (0,0),(1,1),(2,0),(3,-1),4,32)

Mathematics

1 answer:

Firlakuza [10]3 years ago

7 0

The x value can not repeat

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At the beginning of summer, Mark has $200 in savings and Ryan has $350. The brothers have mowing jobs set up for the summer. Bec

zepelin [54]

Answer:

$m = 200 + 20j$

$r = 350 + 15j$

Number of jobs is 30

Step-by-step explanation:

Variable representation

Let Mark's total earnings for moving be m

Let Ryan's total earnings for moving be r

Represent the number of jobs with j

Setup equation

Mark:

$Initial\ Savings = 200$

$Rate = 20$

So, the total savings is:

$m = 200 + 20j$

Ryan

$Initial\ Savings = 350$

$Rate = 15$

So, the total savings is:

$r = 350 + 15j$

To get the number of jobs they save the same amount.

We have:

$m = r$

Substitute values for m and r

$200+20j = 350+15j$

Collect Like Terms

$20j - 15j = 350 - 200$

$5j = 150$

Divide both sides by 5

$j = \frac{150}{5}$

$j = 30$

Hence, the number of jobs is 30

7 0

3 years ago

A fruit stand has to decide what to charge for their produce. They decide to charge $5.30 for 1 apple and 1 orange. They also pl

Jet001 [13]

Answer:

We cannot find a solution to the system of equations.

a+b = 5.30

2a + 2b = 14

Step-by-step explanation:

Let a = the price of an apple

let b = price of an orange

a+b = 5.30

2a + 2b = 14

Multiply the first equation by 2

2a+ 2b = 10.60

Subtract the second equation

2a+2b = 10.60

-2a+2b = 14

---------------------------

0 = -3.40

This is never true so there is no solution

3 0

3 years ago

Find the equation of the problem

pogonyaev

$6\sin^2\theta-\sin\theta=1\ \ \ -1\\\\6\sin^2\theta-\sin\theta-1=0\\\\6\sin\theta-3\sin\theta+2\sin\theta-1=0\\\\3\sin\theta(2\sin\theta-1)+1(2\sin\theta-1)=0\\\\(2\sin\theta-1)(3\sin\theta+1)=0\iff2\sin\theta-1=0\ \vee\ 3\sin\theta+1=0\\\\2\sin\theta=1\ \ |:2\ \ \vee\ \ 3\sin\theta=-1\ \ |:3\\\\\sin\theta=\dfrac{1}{2}\ \vee\ \sin\theta=-\dfrac{1}{3}\\\\$
$\theta=30^o\ \vee\ \theta=150^o\ \vee\ \theta=360^o-\sin^{-1}\left(\dfrac{1}{3}\right)\ \vee\ \theta=180^o+\sin^{-1}\left(\dfrac{1}{3}\right)$

5 0

3 years ago

Formula for the area of a trapezoid is _____________________

ELEN [110]

The formula for the trapezoid is

A=a+b
2h

5 0

3 years ago

Solve multi-step equations iready -5m=3 m=?

gayaneshka [121]

Answer:

m = -3/5

Step-by-step explanation:

-5m = 3

Divide each side by -5

-5m/-5 = 3/-5

m = -3/5

7 0

3 years ago