Answer:
C, E, and F
Explanation:
There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.
A better way is to simply solve each equation for x.
You could rewrite
2x + 7 < -3
as
2x + 7 = -3
and solve:
Subtract 7 from both sides
Now divide both sides by 2
Now we can simply replace the equals sign with the inequality
x < -5
Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.
Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:
Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.
These answers are:
C. -10
E. -8.24
and
F. -15/2 which is -7.5
NOTE: -5 is equal to but not less than -5 so G is not included.
Πr²h(2)-πr²h(1)=πr²(h(2)-h(1))=V2-V1
V2-V1=πr²(h(2)-h(1))
314-188.4=π*2²(h(2)-h(1))
(h(2)-h(1))=(314-188.4)/4π=10
difference is 10 cm
I would say to round 48 to 50 and then multiply 50 x 3=150 or if you do 48x3=144 then estimate it to about 140
14:1,2,7,14
8:1,2,4,8
The greatest common factor is 2!
Hope I helped! :-)