So this is going to be alot of writing to show my thinking but ill bold the answer.
1,1
1,2
1,3
1,4
1,5
2,1
2,2
2,3
2,4
2,5
3,1
3,2
3,3
3,4
3,5
4,1
4,2
4,3
4,4
4,5
5,1
5,2
5,3
5,4
5,5
next ill mark all the ones that equal 4 or 8 when added together, with an x
1,1
1,2
x1,3
1,4
1,5
2,1
x2,2
2,3
2,4
2,5
x3,1
3,2
3,3
3,4
x3,5
4,1
4,2
4,3
x4,4
4,5
5,1
5,2
x5,3
5,4
5,5
that is 6 (that equal 4 or 8) out of 25
so your ratio would be 6:19
Hello!
This should be written in slope intercept form, which is y=mx+b. In our case, it is c=mh+b. As you can see, the only answer option that multiplies by h before adding the y-intercept is c. c=20h+60. This follows slope intercept form, so therefore it is correct.
I hope this helps!
24 1/3 x 8 1/6
24 x 8 = 192
1/3 x 1/6 = 1/18
Answer : 192 1/18
Answer: Choice C) 5*sqrt(3) - 20*sqrt(2)Check out the attached image to see how I got that answer. Specifically look at figure 1. The other figures are supplemental steps to help break things up into a more organized solution (and to prevent too much clutter).
The idea I'm using to simplify is to basically factor the radicand (stuff under the radical or square root) into two numbers where one number is a perfect square. The goal is to pick the largest perfect square factor possible. Then I used the rule that sqrt(x*y) = sqrt(x)*sqrt(y) to break up the roots.
After each piece is simplified, the next step is to combine like terms. In this case, the sqrt(2) terms are combined.
Answer:
C
Step-by-step explanation:
note that (f - g)(x) = f(x) - g(x)
f(x) - g(x)
= 10x + 7 - (x² - 7x) ← distribute parenthesis by - 1
= 10x + 7 - x² + 7x ← collect like terms
= - x² + 17x + 7 → C