Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
C. 300 ft.2 and <span>d. 81π in.3</span>
Answer:
Step-by-step explanation:
∠ABD = 100
∠ABC + ∠CBD = ∠ABD
4x + 2 + 3x - 7 = 100
4x + 3x +<u>2 -7 </u>= 100 {Combine like terms}
7x <u> -5 </u> = 100
Add 5 to both sides
7x = 100 +5
7x = 105
Divide both sides by 7
x = 105/7
x = 15
∠CBD = 3x - 7
= 3*15 - 7
= 45 - 7
∠CBD = 48
Answer:
12/10, 18/15?
Step-by-step explanation:
