Answer:
- a=4
- b=12
- c=9
- You have correctly selected the standard form.
Step-by-step explanation:
(2x +3)² = (2x)² + 2(2x)(3) +(3)²
= 4x² +12x +9
Comparing that to ax² +bx +c, we can identify ...
Answer:60
90-30=60
Step-by-step explanation:
<h3>Slope = 10</h3><h3>y intercept at (0,750)</h3><h3>x intercept at (-75, 0)</h3>
=====================================
Explanation:
The function f(x) = 10x+750 is the same as y = 10x+750
It is in the form y = mx+b where m = 10 is the slope and b = 750 is the y intercept. So that covers the first two parts of the answer.
The x intercept is found by replacing y with 0, then solving for x like shown below
y = 10x + 750
0 = 10x + 750
10x + 750 = 0
10x = -750 ....... subtract 750 from both sides
x = -750/10 .... divide both sides by 10
x = -75
So x = -75 plugged into the function leads to y = 0
Meaning that x = -75 and y = 0 pair up together to get the point (-75,0) which is the x intercept. This is the location where the line crosses the x axis.
Answer:
There are 15600 ways to pick a password
Step-by-step explanation:
We have 26 possibilities to pick a letter. So, we have 26 possibilities for the first component of the password. The second letter should be different from the first one, so we have one less possibility, giving us a total of 25, and for the third letter we have 24.
This gives us 26*25*24 = 15600 ways of picking a password.
So there are 4 slots and 4 options for the first slot, 3 for the second slot, and so on. There is a total of 24 options. Since you want a specific order, it's 1/24. (the option you want/total options)