Answer:
x = -3
Step-by-step explanation:
Given:
12x - 9 = 10x - 15
Now, let's add 15 to both sides of the equation.
12x + 6 = 10x
Now, let's subtract 12x from both sides of the equation.
6 = -2x
Now, let's divide both sides by -2.
-3 = x
Answer:
-16 > n or n < -16
Step-by-step explanation:
First, we can write the inequality and distribute.
-6n-12 > 3(-n+12)
-6n-12 > -3n+36
Get rid of a variable first (it makes solving a lot easier). We can add 6n to both sides.
-6n-12 > -3n+36
<u>+6n +6n</u>
-12 > 3n+36
Now, we can subtract 36 on both sides.
-12 > 3n+36
<u>-36 -36</u>
-48 > 3n
Divide by 3 on both sides.
-48 > 3n
<u>/3 /3</u>
-16 > n or (if it's easier) n < -16
Hope this helps!! Have a wonderful day C:
Answer:
A(...; 7)
x =-1/5
B(8; ...)
y = 48
The slope is 5
Step-by-step explanation:
y−5x=8
A(...; 7)
We know that y=7, we need to find x
7 - 5x = 8
Subtract 7 from each side
7-7 -5x = 8-7
-5x =1
Divide by -5
-5x/-5 = 1/-5
x =-1/5
B(8; ...)
We know x = 8 we need to find y
y−5x=8
y - 5(8) = 8
y - 40 =8
Add 40 to each side
y-40+40 = 8+40
y = 48
Now we need to find the slope
y - 5x =8
Add 5x to each side
y -5x+5x = 5x+8
y = 5x+8
This is in the form y = mx+b where m is the slope
The slope is 5
Answer:
C. 7790.83 cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We know the radius is 12.3
Using 3.14 for pi (This will give us an approximation, not an exact value)
V = 4/3(3.14) (12.3)^3
=7790.82984 cm^3