Answer:
114
Step-by-step explanation:
456 devided by 4 equals 114
Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
Answer:
When Amina is 18. Saad would be;
k. 14
Step-by-step explanation:
Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;
Anita's age = 2 × Saad's age
Therefore;
x = 2 × y...(1)
In 4 years, we will get;
x + 4 = 1.5 × (y + 4)...(2)
Substituting the value of x in equation (1) into equation (2), we get;
2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6
2·y + 4 = 1.5·y + 6
2·y - 1.5·y = 6 - 4 = 2
0.5·y = 2
y = 2/0.5 = 4
Saad's current age = y = 4 years
From equation (1), we have;
x = 2 × y = 2 × 4 = 8
Amina's current age = x = 8 years
When Amina is 18, we have;
18 = 10 + 8 = 10 + x
Therefore, Amina would be 18 in 10 years time from now, from which we have;
Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now
Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.
So you would do 555 times 3 1/5. Your answer would be 1776 feet tall.
Answer:
The vertex is (3,4)
Step-by-step explanation:
f (x) = x^2 - 6 x + 13
Completing the square
-6/2 = -3 and squaring it = 9
= x^2 -6x +9 +4
= ( x-3) ^2 +4
The equation is now in vertex form
a( x-h) ^2 +k
where the vertex is ( h,k)
The vertex is (3,4)
