Step-by-step explanation:
Write properties of function:
x intercept/zero: ; T1= -1 and T2=10
vertex form: g(t)= (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
Explanation Write properties of function: Write properties of function:
x intercept/zero: ; t1=-1, and t2=10
vertex form: (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
hope this helped
Answer:
<u><em>x = 37/45</em></u>
Step-by-step explanation:
Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B
Ok, so these 2 triangles are similar, so we can set up a butterfly equation:
Side 1a would be 8x
Side 1b would be 5x +3
Side 2a would be 10x - 2
Side 2b would be 7x
----------------------------------------------------
Our equation would be
8x/(5x+3) = (10x-2)/7x
We cross multiply to get 8x(10x-2) = 7x(5x+3)
Instead of solving and getting squares, we can x on both sides and we get:
8(10x - 2) = 7(5x+3) ----> we simplify to get
80x - 16 = 35x + 21 ----> it's easy sailing from here.
45x = 37
<u><em>x = 37/45</em></u>
<u><em>gosh i hope it's right...</em></u>
Answer:

Step-by-step explanation:
1) Flip the second fraction and change the operation to multiplication:

2) Cross cancel factors:

3) Multiply:

4) Simplify:

Answer:
15 boys and 20 girls
Step-by-step explanation:
1. Since we cant simplify 3:4 we will leave it just like that.
2. 3x+4x=35
3. We add them both to give us 7x=35
4. We divide by 7 to get x by itself which results in 35/7=5.
x=5
5. Now we found x we can create 2 seperate soulutions:
3(5)=
and 4(5)=
Therefore there are 15 boys and 20 girls in the class. This makes sense because 15/20 reduced is 3 over 4.