Answer:
x= 3.5 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
1. m
2. One set of ordered pairs
3. b
To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).
First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.
This is why #1 is m. M is the letter used when finding slope.
To find m, I plug in the two sets of ordered pairs.
m = (8-0)/(5-1)
m = 8/4
m = 2
An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.
Here, you have just solved for m and know it equals 2. Plug that value in for m.
y = 2x + b
To solve for b, plug one ordered pair in for x and y. I will use (1,0)
0 = 2(1) + b
0 = 2 + b
-2 = b
Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.
Remember you can' do anything to boht sides, but when times negative, flip sign
distributive property
a(b+c)=ab+ac
distribute the -4
-8+4x
now we have
2x<8-8+4x
2x<4x
minus 2x both sides
0<2x
therefor
0<x
answer is x>0
Answer:
11/20
Step-by-step explanation:
5 cents is worth $0.05.
A quarter is worth $0.25.
A dime is worth $0.10
A nickel is worth $0.05
A penny is worth $0.01
In total there are 40 coins in the jar.
The coins that are worth more than $0.05 dollars are the dimes and quarters, so there are 22 coins worth more than $0.05.
Therefore, the probability of of picking a coin worth more than 5 cents is:
22 / 40 = 11/20
