P^2 + p - 6 -(p^2 - 4p) =
p^2 + p - 6 - p^2 + 4p =
5p- 6 <==
5p - 6 - (?) = p - 9......4p + 3 <==
Step-by-step explanation:
is there any drawing beside it ? pls ..the first X is equal to the second x ?
the answer will be -19n+25. All you do is put 19 into the g spot and distribute from that point on into the parentheses. so -19 to n and multiply -19 and -1. after that you get -19 +19+6. you will then add like termsso 19 and 6 is 25. Final answer is -19n+25. Hope its right. Good Luck !
Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
Let's replace every copy of x with 7 and simplify.

Which is clearly false. This is probably the set of steps you followed to get "no solution".
Why is there no solution? Well let's subtract 9 from both sides to isolate the square root

Recall that the result of a square root operation is never negative. The range of
and
is the set of nonnegative numbers. There is no way we can have the left hand side result in -6
If there was a negative sign out front the square root and we have this instead

then the answer would be x = 7
Unfortunately, there isn't such a negative sign, so we stick with "no solutions".