Samara was playing a game. She wrote down this number sentence to find the total number of points for 11 games in a row.

Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat

Taya2010 [7]

Answer:

$\displaystyle \left(1,\frac{5}{12}\right)$

Step-by-step explanation:

<u>Graphs</u>

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

$w=mt+b$

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.

Using the point (0,0):

$0=m(0)+b$

It follows that b=0

The equation now takes the form:

$w=mt$

Using the point (12,5):

$5=m(12)$

We find m:

$\displaystyle m=\frac{5}{12}$

The final equation is:

$\displaystyle w=\frac{5}{12}\cdot t$

Substituting t=1:

$\displaystyle w(1)=\frac{5}{12}\cdot (1)=\frac{5}{12}$

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

$\boxed{\displaystyle \left(1,\frac{5}{12}\right)}$

6 0

3 years ago

-3(2x+4) = 3(x-6)<br> i need steps too

Bezzdna [24]

If you are looking to find the value of x then you have to use distributive property.

1st: multiply -3 by 2x and 4 -3(2x+4)

-6x -12

2nd: do the same thing on the other side which is multiply 3 by x and -6

3(x-6)

3x-18

3rd: Then you have -6x-12=3x-18

+12 +12

add 12 to each side so then you have -6x=3x-6

then divide by -6 on each side and the answer is x= 2/3

6 0

3 years ago

yo if i can get some help that be good IF giant IF your right yu just may get BRAINLIEST but for your help you get 5 STARS and 6

kenny6666 [7]

Answer:

but i think Part A had the bigger percentage change

Step-by-step explanation:

Maggie is studying the change in the amount of money in two accounts, A and B, over time

8 0

4 years ago

Earth is about 92 9/10 million miles from the sun use the table shown.

Slav-nsk [51]

A) Venus is 3/4 distance of Earth from sun
....... Venus = 3/4(92,900,000)
....... Venus = 69,675,000 miles

B) Mars is 1 1/2 distance of Earth from sun
....... Mars = 1 1/2(92,900,000)
....... Mars = 139,350,000 miles

C) Jupiter is 5 1/4 distance of Earth from sun
....... Jupiter = 5 1/4(92,900,000)
....... Jupiter = 487,725,000 miles

D) Saturn is 9 1/2 distance of Earth from sun
....... Saturn = 9 1/2(92,900,000)
....... Saturn = 882,550,000 miles

4 0

3 years ago

Read 2 more answers

Find the dimensions of the regular corral split into 2 pens of the same size producing the greatest possible enclosed area given

mrs_skeptik [129]

Answer:

Length = 225 ft

Width = 150 ft

Step-by-step explanation:

If L is the length and W is the width, then:

900 = 2L + 3W

A = LW

Solve for W in the first equation:

3W = 900 − 2L

W = 300 − ⅔ L

Substitute into the area equation:

A = L (300 − ⅔ L)

A = 300L − ⅔ L²

Use calculus to find dA/dL and set to 0, or use the formula for vertex of a parabola.

Using calculus:

dA/dL = 300 − 4/3 L

0 = 300 − 4/3 L

L = 225

Using vertex formula:

L = -b / (2a)

L = -300 / (-4/3)

L = 225

Find the width:

W = 300 − ⅔ L

W = 150

You got the right answers, but the problem says to assume that the length is greater than the width.

3 0

3 years ago