Answer:
Well, if you're talking about what operation is the variable about to be done with...then its multiplication because you're supposed to first solve the expression on the left by multiplying.
But, if you're talking about solving just look below:
−3(4r−8)=−36
(−3)(4r)+(−3)(−8)=−36 (Distribute here)
−12r+24=−36 (Subtract 24 from both sides.)
−12r+24−24=−36−24
−12r=−60 (Divide both sides by -12)
r=5
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
![8z\leq 16](https://tex.z-dn.net/?f=8z%5Cleq%2016)
Solve for z
Divide by 8 both sides
![z\leq 16/8](https://tex.z-dn.net/?f=z%5Cleq%2016%2F8)
![z\leq 2](https://tex.z-dn.net/?f=z%5Cleq%202)
The solution for z is the interval ----> (-∞,2]
All real numbers less than or equal to 2
In a number line the solution is the shaded area at left of z=2 (closed circle)
using a graphing tool
see the attached figure
Answer:
Translated 2 units right
Translated 5 units up
Stretch by a factor of 3
Not reflected
Step-by-step explanation:
From edg
Answer:
Add
3 over 20
3
20
+ 7 over 16
7
16
= 47 over 80
47
80
Step 1 of 2: Add, sub-step a: Find the common denominator.
Find common denominator
3 over 20
3
20
+ 7 over 16
7
16
= ( 3 × 4 ) over ( 20 × 4 )
3 × 4
20 × 4
+ ( 7 × 5 ) over ( 16 × 5 )
7 × 5
16 × 5
= 12 over 80
12
80
+ 35 over 80
35
80
80 is the least common multiple of denominators 20 and 16. Use it to convert to equivalent fractions with this common denominator.
Add
12 over 80
12
80
+ 35 over 80
35
80
= ( 12 + 35 ) over 80
12 + 35
80
= 47 over 80
47
80
Step 1 of 2: Add.Hide
Step 2 of 2: Simplify.
Simplify
47 over 80
47
80
Step 2 of 2: Simplify, sub-step a: Reduce the fraction to the lowest terms.
Reduce the fraction to lowest terms
Step-by-step explanation:
Using FOIL,
(2 + √3)(1 + √3)
= (2)(1) + (2)(√3) + (√3)(1) + (√3)(√3)
= 2 + 2√3 + √3 + 3
= 5 + 3√3.