Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is 
= 
= - 2.5
9m+2=3m-10
subtract 3m from both sides to get:
6m+2=-10
subtract 2 from both sides to get:
6m=-12
finally, divide by 6 on both sides to get what m equals:
m=-2
Answer:
the answer would be done like this
Step-by-step explanation:
you have to get y by itself so you would need to move the x to the right of the equal sign
once you move anything to the opposite side it switches, so positive becomes negative vice versa
-3y=-x+18
you need to make sure you have positive 1 y so you would divide y by -3 to make it 1
everything else is multiplied by -3 as well
so the answer would be y=⅓x-6
Answer:
Answer = 93.6
Step-by-step explanation:
frist multipy 9 x 13 to get 117 than divided it by 2 = 58.5, than times it by 3 since there is three sides.
(58.5 x 3 is 175.5)
Than for the base multipy 7.8 x 9 = 70.2, but since its a tri, divided it by 2 = 35.1.
Add 58.5 and 35.1 to get 93.6
There is 16 ounces in a pound, and #1 is B I believe
