Factor
what 2 numbers multily to get -12and add to get -4
-6and -2
(x-6)(x+2)=0
ser to zero
x-6=0
x=6
x+2=0
x=-2
6>-2
w=6
-2=z
3w+2z
3(6)+2(-2)
18-4
14
value is 14
option D
Answer:
the vertex is at (2, 8) and the axis of symmetry is x = 2
Step-by-step explanation:
In h(x)=−2x2+8x please use the symbol " ^ " to indicate exponentiation:
h(x)=−2x^2+8x
This is a quadratic equation with coefficients a = -2, b = 8 and c = 0.
The axis of symmetry equation is x = -b/ (2a).
-8
Here, with a = -2 and b = 8, the axis of symmetry is x = --------- = 2
2(-2)
To find the y-coordinate of the vertex, substitute 2 for x in h(x)=−2x^2+8x, obtaining
h(2) = -2(2)^2 + 8(2) = -2(4) + 16 = 8
In summary, the vertex is at (2, 8) and the axis of symmetry is x = 2.
Y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
<span>Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
</span>so multiply both.
(y² + 6)² is the answer.
We know that the angle of a straight line is 180°.
So we know that (5x-5) + (2x+10) = 180
We will then solve for x
5x - 5 + 2x + 10 = 180
7x + 5 = 180
7x = 175
x = 25 (just an explanation of how we get 25)
To get angle 1, we will then plug in x=25 into the first equation to get
5(25)-5 = 125-5 = 120°
Answer:
<h2>4gallons per minute</h2>
Step-by-step explanation:
Step one:
the unit rate is the amount of water per unit of time
Given data
4/5 gallon to decimal= 0.8gallon
1/5 minute decimal= 0.2 minute
We are told that 0.8 gallons run in 0.2 minute
then x gallon will run in 1 minute
cross muliply we have
x=0.8/0.2
x=4
this means that in one minutes 4gallons will run in the faucet
The unit rate is 4gallons per minute
