First, we must find the common denominator (12) ✵
10/12-6/12 ✵ ✵ ✵ ✵
Now, why 10? ✵ ✵ ✵
Because we CAN'T just take the denominator and change it; we must change both the denominator AND the numerator:
✵ • - ○
4/12 ✧ ✩ ✶ ✺ ✱
We can simplify, or reduce, this fraction: ✱ ✱
1/3 ✩ ✦ ✤
I hope it helps!
Answer:
Step-by-step explanation:
A vertical stretch by a factor of k means that the point (x, y) on the graph of f (x) is transformed to the point (x, ky) on the graph of g(x), where k <1.
If k =1, then same graph we obtain and if k>1 we get a vertically shrink graph.
In our question, there is a vertical stretch of 3. This means new graph would have points as (x,y/3)
i.e. instead of f(x) = y, we have now f(x) = y/3
So transformation is g(x) = 3f(x)
Option A is correct.
2) Here f(x) = 3x+8 is transformed to g(x) =3x+6
i.e. y intercept is reduced by 2 units. Hence there is a translation of 2 units down.
Answer:
x=10 and x=-9
Step-by-step explanation:
Factor:
(x-10)(x+9)=0
x-10=0
x=10
and
x+9=0
x=-9
Hi there!
13y² + 10y - 3 = 5y²
Begin by moving all terms to one side:
13y² + 10y - 3 - 5y² = 0
Combine like terms:
8y² + 10y - 3 = 0
Factor using the guess-and-check method.
(4y - 1)(2y + 3) = 0
Set each factor equal to 0 to find the solutions:
4y - 1 = 0
4y = 1
y = 1/4
2y + 3 = 0
2y = -3
y = -3/2
