Answer:
300%
Step-by-step explanation:
Given
Required
Find the percentage change in y when x decreased by 50%
First, convert to equation
Where k is the constant of proportionality
When x decreased by 50%
Expand
Substitute 
for y
The percentage change is then calculated as:
<em>The percentage in y is 300%</em>
Answer:
A = (5s^2t - 9st) (3t + 1)
Step-by-step explanation:
(5s^2 - 9s) (3t^2 + t)
= 15s2t^2 + 5s^2t - 27st^2 - 9st
= 5s2t (3t + 1) - 9st (3t + 1)
= ( 5s^2t - 9st) (3t+1)
11. Factoring and solving equations
- A. Factor-
1. Factor 3x2 + 6x if possible.
Look for monomial (single-term) factors first; 3 is a factor of both 3x2
and 6x and so is x . Factor them out to get
3x2 + 6x = 3(x2 + 2x1 = 3x(x+ 2) .
2. Factor x2 + x - 6 if possible.
Here we have no common monomial factors. To get the x2 term
we'll have the form (x +-)(x +-) . Since
(x+A)(x+B) = x2 + (A+B)x + AB ,
we need two numbers A and B whose sum is 1 and whose product is
-6 . Integer possibilities that will give a product of -6 are
-6 and 1, 6 and -1, -3 and 2, 3 and -2.
The only pair whose sum is 1 is (3 and -2) , so the factorization is
x2 + x - 6 = (x+3)(x-2) .
3. Factor 4x2 - 3x - 10 if possible.
Because of the 4x2 term the factored form wli be either
(4x+A)(x +B) or (2x+A)(2x+B) . Because of the -10 the integer possibilities
for the pair A, B are
10 and -1 , -10 and 1 , 5 and -2 . -5 and 2 , plus each of
these in reversed order.
Check the various possibilities by trial and error. It may help to write
out the expansions
(4x + A)(x+ B) = 4x2 + (4B+A)x + A8
1 trying to get -3 here
(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB
Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .
4. Difference of two squares. Since (A + B)(A - B) = - B~ , any
expression of the form A' - B' can be factored. Note that A and B
might be anything at all.
Examples: 9x2 - 16 = (3x1' - 4' = (3x +4)(3x - 4)
x2 - 29 = x2 - (my)* = (x+ JTy)(x- my)
X=9.51 or x=-1.01 (to 3 sf)
if you want exact value just continue from where i left off from the pic :)
its the quadratic formula i think thats the name of it
Answer:
89 km
Step-by-step explanation:
a^2+b^2=c^2
80^2+39^2=c^2
6400+1521=c^2
7921=c^2
sqrt of 7921=89
