Solution:
<u>Note that:</u>
- Abby's dog: 1.5 cups of food
- Braxton's dog: 4.5 cups of food
Looking at the information we got, we can say that Braxton's dog eats more. Let's put them into ratio form (Braxton's dog:Abby's dog)
- => (Braxton's dog:Abby's dog) = 4.5:1.5
<u>Now, put them into fractions.</u>
We can conclude that Braxton's dog eats 3 times more food.
X = the age of Mr. Gilliam
His wife is 3 years older, so the age of Mr. Gilliam's wife = x+3
The sum of their ages is 95.
Mr. Gilliam is 46 years old.
F(x) = 8 - 10x
g(x) = 5x + 4
Finding (fg)(-2).
First let us find fg(x), this is the same as f(g(x))
f(g(x))
f(5x + 4)
Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4
f(x) = 8 - 10x
f(5x +4) = 8 - 10(5x + 4)
= 8 - 50x - 40
= -50x + 8 - 40
= -50x - 32
f(g(x)) = fg(x) = -50x - 32
fg(-2) = -50*(-2) - 32 = 100 - 32 = 68
Therefore fg(-2) = 68
I hope this helped.
Answer:
I don't know how to answer question 1, but the answer from question 2 is x=5
Step-by-step explanation:
The triangle shown is an isosceles triangle because it has two congruent sides. The base angles of isosceles triangles are congruent so ∠y=∠x. since the ∠x is 52 the ∠y is also 52. We subtract the measure of angles x and y in order to find the measure of the third angle. 180-(52+52) or 180-104 is 76. this means that 14x=6=76. All we have to do to get the answer now is solve. 76-6 is 70 and 70 divided by 14 is 5. x=5.
-2/9 x 4/9 is -8
so the answer is -2/9
