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.
Answer:
a. 
Step-by-step explanation:
The slope-intercept form of equation of a line is given as 
. Where,
m = slope
b = y-intercept.
Rewrite the equations, 
and 
, in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.
Divide both sides by 5
Rewrite
The slope of is ⅖.
(subtraction property of equality)
Divide both sides by 4
The y-intercet of is -6
Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:
Plug in the values of m and b
12(pi)
diameter is 4, so radius should be 2
closest height to equal 12(pi) would be 0.96
There is 4188.3333 yards and 2.3797348 miles in 12565 ft
Answer:
4
Step-by-step explanation:
