2 years ago

Y=x+6 2x+3y=30 find the intersection

Mathematics

1 answer:

strojnjashka [21]2 years ago

4 0

Find our given information

y = x + 6 -- equation 1

2x + 3y = 30 -- equation 2

plug equation 1 into equation 2

$2x + 3(x+6) = 30\\2x + 3x + 18 = 30\\5x +18 =30\\x = 12/5 -- equation 3$

plug equation 3 into equation 1

$y = (12/5) + 6 = 42/5$

The intersection is (12/5, 42/5)

Hope that helps!

You might be interested in

A library association plans to take an SRS of 150150150 adults from the population of adults in the US to see what proportion of

Serga [27]

Answer:

Mean: =0.76

SD= (squarerootof) 0.76(0.24)/150

Step-by-step explanation:

3 0

3 years ago

Pls solve this I don't get it<br>

balu736 [363]

I think it’s B, not sure

4 0

3 years ago

A sports store sells 42 pairs of running shoes per day for $ 10.00 each. The owner estimates that for each $ 2.00 increase in pr

Setler [38]

Answer: $26

Step-by-step explanation:

Let the number of $2 price increases be x.

This means that if the price is 10+2x, 42-2x shoes are sold.

So, the revenue is (10+2x)(42-2x).

To maximize profit, we must maximize revenue.

$(10+2x)(42-2x)\\\\=-4x^2 +64x+420$

The maximum is at $x=-\frac{64}{2(-4)}=8$ , so the price should be 10+2(8)=$26.

8 0

1 year ago

HELPPP MEEE PLEASSSE ASAP IT WOULD MEAN ALOT

Delicious77 [7]

Answer:92

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides

Lyrx [107]

Answer:

$16\frac{2}{3}$ cm

Step-by-step explanation:

Given dimensions:

$3\frac{1}{6}$ cm by $4\frac{2}{3}$ cm by $5\frac{2}{3}$ cm

The total length:

it is the sum of all the sides;

$\frac{19}{6} + \frac{14}{3} + \frac{17}{3}$

LCM of the denominators = 6 ;

$\frac{38 + 28 + 34}{6}$ = $\frac{100}{6}$

= $\frac{50}{3}$

= $16\frac{2}{3}$ cm

5 0

3 years ago