gwenspooner85

um there is no graph...

When she took 20 shots she got 55% of them so she got 11 of them. She took 5 shots and got x of them. We can form an equation.

(11+x)/(20+5)=14/25

(11+x)/25=14/25

11+x=14

x=3 shots.

Parallel lines have the same slope so the second line must have a slope of 3. We then have y=3x+b. We plug in the given point to find b.

y=3x+b

-2=3(5)+b

-2=15+b

b=-17

Therefore the equation is y=3x-17.

Let George's age be x. Then Alex's age is x+12 and Carl's is 3(x+12). Their ages add up to 68 so we can form an equation.

x+(x+12)+3(x+12)=68

2x+12+3x+36=68

5x+48=68

5x=20

x=4

So George's age is 4, Alex's is 16, and Carl's is 48. The ratio of their ages is:

4:48:16

=1:12:4

We are trying to find the x value that when plugged into f(x), results in 58. Replace f(x) with 58.

58=2x^3+4

54=2x^3

x^3=27

x=3.

For single roll: 10*9.21=92.1

For pack of 3 rolls: 25.38*4=101.52

For pack of 5 rolls: 42.85*2=85.7

Supplementary angles add up to 180 degrees. Let x be the number of units so we have 7x and 8x. Then

7x+8x=180

15x=180

x=12

So the two angles are 7(12)=84 and 8(12)=96.

If y=3x+5 intersects y=kx-7, then -4 and -7 must satisfy both equations. For y=kx-7:

y=kx-7

-7=k(-4)-7

-7=-4k-7

-4k=0

k=0

Let x be the number of games he played/winned today. We form an equation.

(85+x)/(100+x)=94/100

8500+100x=9400+94x

6x=900

x=150 games.

This is probably wrong but i'll give it a try.

The two smallest integers we have are 1 and 2...the sum of the sides would be smallest if the triangle is a right triangle, because it minimizes the third side. Then we can apply the pythagorean theorem to this:

1^2+2^2=c^2

1+4=c^2

c^2=5

c=\(\sqrt{5}\).

Then the sides of this triangle are 1, 2, and \(\sqrt{5}\). Adding them together we have 1+2+\(\sqrt{5}\)=(3+\(\sqrt{5}\)) units.