Answer:
The values of k will be:
Step-by-step explanation:
Let the expression of polynomial P be
Let the expression if the polynomial Q be
Plug in Q(x) = 0
0 = x+2
x = -2
As (x+2) is a factor of 3x²-4kx-4k²
substitute x = -2 in the the polynomial
3x²-4kx-4k² = 0
Write in the standard form ax²+bx+c = 0
Factor out common term -4
Factor k²-2k-3: (k+1)(k-3)
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
solving k+1=0
k+1 = 0
k = -1
solving k-3=0
k-3=0
k = 3
Thus, the values of k will be:
This could by seen as a ratio:
4:5
Add up the ratio. Then divide the money earned, by the ratio.
4 + 5 = 9
31.50 / 9 = 3.5
Then you times the individual hours by this.
4 x 3.5 = $14
5 x 3.5 = $17.5
So Jan earned $14
And Ted earned $17.50
Answer:
- B. The slope of the graph of k is 2.
Step-by-step explanation:
<h3>Find the equation of the line.</h3>
<u>The slope is:</u>
<u>The y-intercept is:</u>
<u>The line is:</u>
<h3>Now lets look at the answer options</h3>
A. <u>The x-Intercept of the graph of k is 8.</u>
- The x- intercept is -3, False
B. <u>The slope of the graph of k is 2.</u>
C. <u>The graph of k passes through (-1, -8).</u>
- -8 = 2(-1) + 6
- -8 = 4, False
D. <u>The zero of k is 3.</u>
- x = 0 ⇒ y = 0+ 6 = 6, False
Answer:
true
Step-by-step explanation:
Answer:
Year
Step-by-step explanation:
The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).
x-axis represents days/year/time (major interval set to 7); y-axis represents tasks.
For example, if you are following the number of cancer cases per year, you plot the number of cancer cases on the y-axis because that number is different for each year, and the value you plot depends on which year you choose (you are choosing the year, so year goes on the x-axis; you are reporting the number of cancer
