Answer:
a)
Step-by-step explanation:
The y intercept of g(x) is the value of g when x = 0.
In this problem
The y-intercept is
a)
The y-intercept is:
This is the correct answer
b)
The y-intercept is
This is an asymptote
c)
The y-intercept is
d)
The y-intercept is
[tex]f(0) = |0-4| = |-4| = 4.
Answer:
Remember that the slope of perpendicular lines are negative reciprocals of each other.
Step-by-step explanation:
y = 1 - 2x the slope is -2 the value of the x term.
So the slope of the new line using point (- 1, 2) is 1/2.
Now use y = mx + b where y = -1, x = 2, and m = 1/2 .
y = mx + b
-1 = 1/2(2) + b solve for "b", the y-intersect
-1 = 1 + b
-2 = b
The line that is perpendicular to y = 1 - 2x is y = 1/2x - 2
Answer:
It's not a right angle.
Step-by-step explanation:
Remark
There's a second restriction on the problem. The Perimeter is 22 cm.
AB = 8
BC = 5
AC = 9.4
When you add these up, you get 8 + 5 + 9.4 which is 22.4
You may think this is close enough. In this case it is not. Either the perimeter has to 22.4 or the hypotenuse has to be reduced. Let us say it is close, but not close enough.
When you use other methods, you find out that the right angle is actually 90.4 degrees
Answer:
option A
-2x + 4y = 4
-3x + 6y = 6
Step-by-step explanation:
In option A, if the student multiply the first equation by 3 and the second equation by -2, then the equations become
-6x+12y = 12 and
6x-12y =-12
If she adds both equations, she will get 0 = 0
This means that the system has infinite number of solutions.
Hence, the student could have started with equations -2x + 4y = 4 and -3x + 6y = 6.
The equation for simple interest is sated as follows:
A=P(1+rt), where A= The accrued amount, P=Principal invested, r=interest rate per year, and t=time in years.
For the amount invested to be atleast double the amount invested (like the current scenario), the inequality would be would be
A≥ P(1+rt) ---- 200≥100 (1+0.05t) ---- 2≥1+0.05t --- t≥(2-1)/0.05 --- t≥20 years
Therefore, for the amount to atleast double, $100 should be invested for atleast 20 years.
