Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
Answer:
500 grams
Step-by-step explanation:
Let's say that the total number of grams of the sample is x. We know that 30% of x is salt and we also know this quantity is 150 grams. So, we can write this as:
30% * x = 150
Remember that % is simply "out of 100", so 30% = 30/100 = 0.30. Then:
0.30 * x = 150
Divide both sides by 0.30:
x = 500 grams
Hope this helps!
Answer:
jayfeather friend me
Step-by-step explanation:
1
8
=
3
(
3
−
6
)
1
8
=
9
−
1
8
2
Add
1
8
18
18
to both sides of the equation
3
Simplify
4
Divide both sides of the equation by the same term
5
Simplify
Solution
=
4
Answer:
y - 1 = 0
Step-by-step explanation:
We know that Equation of a line is given by,
y - y₁ / x - x₁ = y₂ - y₁ / x₂ - x₁
Let A(-2,1) and B(2,1)
x₁ = -2 ; x₂ = 2 ; y₁ = 1 ; y₂ = 1
Substituting the values,
y - 1 / x - (-2) = 1 - 1 / 2 - (-2)
y - 1 / x + 2 = 0
y - 1 = 0
That is distributive property ... hope this helps
