Answer:
x = ± 7
Step-by-step explanation:
Given
(2x - 1)(3x + 2) = x + 292 ← expand left side using FOIL
6x² + x - 2 = x + 292 ( subtract x from both sides )
6x² - 2 = 292 ( add 2 to both sides )
6x² = 294 ( divide both sides by 6 )
x² = 49 ( take the square root of both sides )
x = ± 7
That is x = - 7, x = 7
Answer:
13. A
14. C.
Step-by-step explanation:
A relation is a function if there is only one y assigned to each x.
That is if you have a set of points, there should be no repeated x value.
So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.
The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.
The y-intercept is where the graph goes through the y-axis at. It goes through at -1 so b=-1.
The slope is rise/run. So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works. You can do the counting if you want. You could also use the slope formula.
To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.
(0,-1)
-(3,1)
--------
-3 -2
So the slope is -2/-3 or just 2/3.
So the equation is y=2/3 x-1
C.
<h3>
Answer: 20.3</h3>
Work Shown:
tan(angle) = opposite/adjacent
tan(B) = AC/AB
tan(67) = x/8.6
8.6*tan(67) = x
x = 8.6*tan(67)
x = 20.2603303460843 ... make sure your calculator is in degree mode
x = 20.3 .... rounding to 3 significant figures
see diagram below
Answer:
FV= $21,038.28
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $15,000
Interest rate (i)= 7% compounded annually
Number of periods (n)= 5
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 15,000*(1.07^5)
FV= $21,038.28
