To find the x intercept of the function, we would find g(x) = 0
To do this, we would set each expression in the piecewise function to zero and solve for x. We have
For
x/3 + 2 = 0
let us multiply both sides of the equation by 3. We have
x/3 * 3 + 2 * 3 = 0 * 3
x + 6 = 0
x = - 6
- 6 is less than - 1
- 6 < - 1
It satisfies the inequality. Thus, x = - 6 is in the domain
For
4x - 2 = 0
adding 2 to both sides of the equation, we have
4x - 2 + 2 = 0 + 2
4x = 2
Dividing both sides of the equation by 4, we have
4x/4 = 2/4
x = 1/2
x = 1/2 is less than 1. It is not in the domain of this equation. Thus, there is no x interscept at x = 1/2
Therefore, the x intercept of the piecewise function is (- 6, 0)
Answer:
-3x2 + 12x - 8
Step-by-step explanation:
Equation at the end of step 1
((0 - 3x2) + 12x) - 8
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-3x2 + 12x - 8 = -1 • (3x2 - 12x + 8)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 12x + 8
The first term is, 3x2 its coefficient is 3 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -12 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Answer:
(-13, -4)
Step-by-step explanation:
It is about as easy to try the solutions as it is to find them from scratch.
__
However, we can determine which one it is by adding twice the second equation to the first.
(-2a +3b) +2(a -4b) = (14) +2(3)
-5b = 20
b = -4 . . . . . . matches the first choice
This statement is false.
If he were to double the amount that Emily has to get franks, franks would have more.
Look :)
Emily's = 300
Frank's = 300 x 2 = 600
now...
Emily's = 300
Frank's = 600
So frank has more! NOT fewer.
Answer:
Somewhere between 12 and 13, perhaps 12.25
Step-by-step explanation:
This is a (rather) simple explanation:
Look for 2 square numbers that are either side of 150
In this case, it is 144 and 169
The square root of 144 is 12 and the square root of 169 is 13
Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.
As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)