Answer:
A and C
Step-by-step explanation:
It can not be D, since that will mean that <em>the line is perfectly horizontal</em>, with 0 as its slope.
It can be C, since the <em>equation's slope is positive and has a negative y-intercept</em>, like the graph.
Changing around A gives us y = 2x - 3. That has a <em>positive slope and a negative y-intercept</em>, like the graph. So, A is a possibility.
Changing around B gives us y = ²/₃x + 3. This has a positive slope, <em>but also a positive y-intercept</em>, so B can not be the answer.
Numerical expressions use numbers and algebraic expressions use variables.
Answer: y=2x+2
Step-by-step explanation:
slope-intercept form: y=ax+b
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#1 Find the slope
- Use rise/run to find the slope: 8/4=2
- Use slope formula: (2-(-6))/(0-(-4))=8/4=2
#2 Find the y-intercept
- Given the point (2, 0) it is already the y-intercept which is 2
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a=2
b=2
y=2x+2
A ratio of 5:7 means out of 12 books, 5 are in one category and 7 are in another. (The “category” isn’t specified in this problem.)
So here we’re STARTING with 36 books; we want to find a ratio that is equal to 5:7 and adds up to 36. Well 36 = 3(12), and so if we multiply each number in the ratio by 3 as well, we might get what we want. Doing that gives us 15:21, which adds up to 36 and is equal to 5:7. Boom, that’s the answer.
P.S. Here’s a question you can think about: why do ratios stay the same when you multiply each number by the same amount? (For example, why is 3:1 the same as 6:2?)
Answer:
x=2.4650
Step-by-step explanation:
I assume that you mean 
so let s use the ln() function
so x = ln(15)/ln(3)
x = 2.4650
