Answer:
Step-by-step explanation:
This can be broken down into a square and a rectangle.
A=5(5)+(12)(8-5)
A=25+12(3)
A=25+36
A=61 u^2
Answer:
option C
Step-by-step explanation:
we have
using a graphing tool
see the attached figure N
The range is the interval--------> (-∞,8]
case A) 
using a graphing tool
The range is the interval--------> [-8,∞)
case B) 
using a graphing tool
The range is the interval--------> [8,∞)
case C)
using a graphing tool
The range is the interval--------> (-∞,8]
case D) 
using a graphing tool
The range is the interval--------> (-∞,-8]
Answer:
40
Step-by-step explanation:
step 1: (-4)^2=16
step2: 12X2=24
step3: 16+24+40
Ps: when you do a math that involves both addition and multiplication,
we should do multiplication and then addition
The main idea here is to "translate" the words into maths.
First we need to identify the unknowns and label these.
We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters
Now lets write equations from the written problem.
We know that there are 36 coind total, thus:
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents.
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus:
10x+25y=585
We have two equations and two unknowns now, that needs to be solved to get the answer.
x + y = 36
10x+25y=585
17) replace the given number for "x" and evaluate
a) x² + 2x + 1 ; when x = 3
3² + 2(3) + 1
= 9 + 6 + 1
= 16
b) x² + 2x + 1 ; when x = -4
(-4)² + 2(-4) + 1
= 16 - 8 + 1
= 9
c) x² + 2x + 1 ; when x = 3
(-22.872)² + 2(-22.872) + 1
= 523.128384 - 45.744 + 1
= 478.384384
18) The dependent variable is affected by the other variable and is the "output" The independent variable is the input.
a) y = 3x - 5; "x" is the independent variable
b) the time of day is the independent variable (you would input the time of day to calculate the temperature).
19) Let the x-axis represent the length of the lumber cut off and the y-axis represent the length of the lumber remaining.
