Answer:
see explanation
Step-by-step explanation:
Given
y = x² - 2x - 8
To find the x- intercepts let y = 0 , that is
x² - 2x - 8 = 0 ← in standard form
(x - 4)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
x- intercepts : x = - 2, x = 4
The x- coordinate of the vertex is mid way between the x- intercepts, that is
=
=
= 1
Substitute x = 1 into the equation for corresponding y- coordinate
y = 1² - 2(1) - 8 = 1 - 2 - 8 = - 9
vertex = (1, - 9 )
Answer is 3x -24
Step by step
We perform distributive multiplication of the number outside the parentheses by the numbers inside the parentheses
<span>b-3/15=-1
We simplify the equation to the form, which is simple to understand
<span>b-3/15=-1
Simplifying:
<span>b-0.2=-1
We move all terms containing b to the left and all other terms to the right.
<span>+1b=-1 + 0.2
We simplify left and right side of the equation.
<span>+1b=-0.8
We divide both sides of the equation by 1 to get b.
<span>b=-0.8
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The answer in simplest for would be 7/8. What you basically do is multiply 7/10 by the reciprocal of 4/5 and that gives u the answer.
Answer:
x =7, y = 3
Step-by-step explanation:
We substitute the value of x in terms of y (given) into the equation.
Then we solve for y and plug in the value of y back into the equation for the value of x to find x.