Answer:
For each hour Cara works, she earns $10.
Step-by-step explanation:
You could see that on the graph that for 5 hours Cara has worked, she earns 50 dollars. The slope would be 50/5. 50/5 is equal to 10/1 through dividing so Cara earns $10 for each hour she works.
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:
See the attached figure.
Step-by-step explanation:
The given function is called piecewise function which is the function that can be in pieces, i.e: defined by multiple sub-functions.
So, need to graph 2x in the interval [3,∞)
And graph -(1/3) x + 7 in the interval (-∞,3]
We will find that f(3) at the function 2x will be equal f(3) at the function -(1/3) x + 7
Which mean the function is continuous.
The attached figure represents the graph of function, it was graphed using the tables on the graph.
Answer:
72%
Step-by-step explanation:
Divide 36 by 50 to get .72, and then convert it to a percentage
Answer:
12.
Square root = 37,
Step-by-step explanation:
40^2 = 1600
35^2 = 30 * 40 + 25 = 1225
So the requred square is between 35 and 40
38^2 = 1444
37^2 = 1369 - so its this one.
Required difference = 1381 - 1369 = 12.
