Answer:
x^2+7x if you are asked to find the difference of a function f and function g
Step-by-step explanation:
We are asked to A-B or f(x)-g(x).
(4x^2+6x)-(3x^2-x)
4x^2+6x-3x^2+x
The like terms I'm going to pair up.
4x^2-3x^2+6x+x
1x^2 +7x
x^2 +7x
The answer is x^2+7x
Answer:
3
Step-by-step explanation:
To answer this question, use permutation since the order of the letter matters. There are 7 letters and only 4 are to be used for the code. This is a permutation of 7 taken 4 (7P4) which is equal to 840. Thus, the sample space is 840.
For the next questions, there are 3 vowels for as the first letter, only 6 letters are available for the second, 5 on the next, and 4 on the last. Multiplying these numbers give 360. To solve for probability, divide this number with the sample space. Thus, the answer is 3/7.
Answer:
x = 18
m∠HCB = 36
Step-by-step explanation:
The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:
8x + 2x = 180
10x = 180
Divide both sides of the equation by 10 to isolate the x:
10x/10 = 180/10
x = 18
Now that we know the value of x, we can find the measure of angle HCB:
2x
2(18)
36
The measure of angle HCB is 36.
I hope this helps :)
Answer:
(1, 3) and (4,0)
Step-by-step explanation:
The quadratic function is 
We can rewrite in the form 
The graph is obtained by shifting the parent quadratic function 3 units right and 1 unit down to obtain the parabola shown in the attachment.
The straight line also have equation 
The slope is -1 and y-intercept is 4.
We can easily graph this straight line on the same graph as shown in the attachment.
The two graphs intersected at (4,0) and (1,3).
The solution set is therefore {(x,y)|x=4,y=0 or x=1,y=3}
