Answer:
Step-by-step explanation:
4) x² - 14x + 48
We would find two numbers such that their sum or difference is -14x and their product is 48x².
The two numbers are - 6x and - 8x. Therefore,
x² - 6x - 8x + 48
x(x - 6) - 8(x - 6)
(x - 8)(x - 6)
5) 2x² + 21x - 11
We would find two numbers such that their sum or difference is 21x and their product is - 22x².
The two numbers are 22x and - x. Therefore,
2x² + 22x - x - 11
2x(x + 11) - 1(x + 11)
(2x - 1)(x + 11)
6) 5a² - 125
5 is a common factor. So we would factorize 5. It becomes
5(a² - 25)
Simplifying further, it becomes
5(a + 5)(a - 5)
Answer:
Yes, this graph is absolutely right for the function y = 
.
Step-by-step explanation:
firstly we will calculate amplitude, period, phase shift, and vertical shift.
Use the standard form 
to calculate the values of amplitude, period, phase shift, vertical shift.
here a = 2
b = 2
c = 0
d = -3
Amplitude = |a| = 2
period = 
= 
= 
phase shift = 
= 0
and vertical shift = d = -3
so, by using this information, if we plot the graph then the graph obtained will be same as the given graph.
Answer:
True
Step-by-step explanation:
Since a penny has head and tails, each has 1/2 chance to land on heads or tales, so 14*1/2=7, so true.
The answer is b,
if you put them all in decimal form it would look like this:
-6.53, -6.25, 6.57, 6.75
Answer:
6x-5y=4
6x+3y=30
Step-by-step explanation:
Move variable to the left
5y=6x-4
Reorder the terms
5y-6x=-4
Change the signs
-6x+5y=-4
Move variable to the left
3y=-6x+20
Reorder the terms
3y+6x=20
