Answer: -5 < x < 6. (-5, 6)
Step-by-step explanation:
Answer:
32, 37, 42, 47, 52, 57, 62.
Step-by-step explanation:
It is given that Carissa counts by 5s from 32 to 62.
It means, we have to add 5 in the number to get the next number.
Add 5 in 32.

Now, add 5 in 37.

Similarly, continue the process.




Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.
Answer:
LCM of 42 and 63 is 126.
Step-by-step explanation:
Find the prime factorization of 42
42 = 2 × 3 × 7Find the prime factorization of 63
63 = 3 × 3 × 7Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 3 × 3 × 7LCM = 126
Simple....
you have:
(-15,70) and (5,10)
Using-->>


Using y=mx+b...and any of the coordinates....
70= -3(-15)+b
70=45+b
70=45+b
-45 -45
25=b
y=-3x+25
Thus,your answer.
You can plot a linear equation, if you are given the coordinates and the slope for THE SAME line.
Assuming you have those, the first step is to find the y-intercept.
That is done by replacing
and
in the general formula by their coordinated counterparts, and replacing
by the slope that is given to you.
Let's assume the coordinates you are given are
, and the slope you are given is 1.
By substituting into the general formula...

...we can see that it is possible to find the y-intercept (
).
Knowing the y-intercept, it is possible to plot the line and solve any question.
I'll leave a picture of the example used above when graphed.