Answer: Part A is 2 and 6 Part B is 2
Step-by-step explanation:
Part A: Here is the explanation. So, you started at with the expression 3x^2+8x+4 and when you're are factoring, you have 3x^2+px+pq+4. You can substitute the p and q for 6 and 2. What they did is they replaced 8x with px+qx. To get 8x, p needs to be 6 and q needs to be 2, or the other way around. TIP: The numbers just have to add up to 8 on this one. It doesn't have to be 6 and 2.
Part B: Here is what I got so far... 3x(x+r) is 3x^2+3xr. Also, s(x+r) is sx+sr. The equation becomes, 3x^2+3xr+sx+sr. R can be 2 and s can be 2. Here is my reasoning: The original expression was 3x^2+8x+4. We already have the 3x^2, so now we need to find what the others are by determining what r and s equal. R and s can both be 2 to make four. 2x2 is 4. Let's see if it can make 8. 3xr becomes 6x and sx becomes 2x. 6x+2x is 8x.
compare the divisor x-3 with x-a which will give a=3 and then use remainder theorem.
Because the ratio of women to children is 10:1, double the ratio of men to women so the women are both 10:
Men to women becomes 8:10
Now total the 3 ratios: 8 for men, 10, for women and 9 for children:
8 + 10 + 9 = 27
Divide total people by that number:
270/27 = 10
Multiply 10 by each ratio:
Men = 8 * 10 = 80
Women = 10 * 10 = 100
Children = 9 *10 = 90
There is 80 men.
4 x 2.95 = 11.80$
4 x 1.59 = 6.36$
11.80 + 6.36 = 18.16 $
20 - 18.16 = 1.84
Mr. Robinson will get $1.84 in change
Answer:
71
Step-by-step explanation:
This arithmetic sequence starts at 1 and increases by 5 every time. The formula for this sequence could be expressed as A(n) = 1 + 5(n-1).
Since you're finding the 15th term, substitute n = 15 into the formula.
A(15) = 1 + 5((15)-1) = 1 + 5(14) = 1 + 70 = 71
