Answer:
X = 62
Step-by-step explanation:
The inside of a triangle is always equal to 180º therefore, you need to add everything up to equal 180. It should look like
(x + 1) + 55 + x = 180
Now you just solve.
Since there are 2 x's you can combine the like terms making them equal 2x
Now the equation should look like 2x + 1 + 55 = 180
Simplify the other like terms: 2x + 56 = 180
Now you want to get x by itself so you subtract 56 from both sides:
2x + 56 = 180
-56 -56
------------------------
2x = 124
Now to finish getting x by itself, divide both sides by 2.
2x = 124
----- ------
2 2
x = 62
FINALLY you plug in x to see if it worked.
(62 + 1) + 55 + 62 = 180
Dilation
only option that changes the size
Answer:
Step-by-step explanation:
Yes the company can hire 6 carpenters and 12 pumbers
So first lets find out how much it costs to have 6 carpenter for $220 a day.
$220 × 6 = $1320 this is how much it cost to pay 6 carpenters for one day.
Now lets find how much it cost to 12 plumbers at $260 a day.
$260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.
The total amount you have to pay to the workers is:
$3120 + $1320 = $4440
Your budget was $4500 so the total costs for the workers is $4440 which means you can hire those workers and you would still have $60.
Answer:
b. 4x^2 + 3x - 6
Step-by-step explanation:
The values of f(x) for the extremes of x are more positive than the value of f(x) for the middle x, so we know the parabola opens upward. That eliminates choice D.
It is probably easiest to evaluate the other expressions to see which one matches the given f(x) values. For the purpose, it is usually easier to use the Horner form of the equation.
a. f(-2) = (3(-2) +4)(-2) -6 = -2(-2) -6 = -2 ≠ 4
b. f(-2) = (4(-2) +3)(-2) -6 = -5(-2) -6 = 4 . . . . matches the given data point
c. Because (b) matches, we know this one will not.
The appropriate choice is B.
