Answer:
The required equation is: 
Step-by-step explanation:
We need to find equation from the table given
x f(x)
3 -5
7 -2
11 1
15 4
We can write equation in the form of 
where m is slope and b is y-intercept.
Finding Slope
We can used the slope formula to find slope: 
From the table we have: 
Putting values and finding slope
So, we get slope 
Now, finding y-intercept
Using the slope and point (3,-5) we can find y-intercept
The y-intercept is 
So, the equation having slope and y-intercept will be:
The required equation is:
Answer:
42
Step-by-step explanation:
Find the prime factorization of 126
126 = 2 × 3 × 3 × 7
Find the prime factorization of 420
420 = 2 × 2 × 3 × 5 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3 × 7
GCF = 42
Solve for x. Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
First, multiply 3 to both sides
6(3) = ((x + 2)/3)(3)
18 = x + 2
Finally, isolate the x. Subtract 2 from both sides
18 (-2) = x + 2 (-2)
x = 18 - 2
x = 16
16 is your answer for x
hope this helps
Because that way you can find the answer when you are given a large amount of information and you don't have to guess until you get the answer right.
Answer:
b = 12 and c = 5
Step-by-step explanation:
For them to be congruent, the triangles must be congruent by HL, so c+44 = 5b - 11 and b + 34 = 10c - 4. From the first equation, we get that c = 5b - 55. We can substitute this into the second equation and get: b + 34 = 10(5b-55) - 4 = 50b -554 -> 49b =588 -> b = 12. We use this to solve for c: c = 5b -55 = 5(12) - 55 = 60 - 55 = 5. Therefore, b = 12 and x = 5.
I changed up my solution (sorry for the careless mistake), but I hope this helps! :)
