Answer:
Four (4) pounds
Step-by-step explanation:
Because we required two (2) pounds to stretch the spring eight (8) inches, we need double the force to stretch it sixteen (16) inches. Sixteen is just double the original amount, meaning we need four (4) pounds to stretch the spring sixteen inches.
Hope this helps!
Answer:
2,3,5,6,9,10
Step-by-step explanation:
To do this, we can look at how each value divides into 90. If it produces a whole number, they will be consider to be divisible
![90/2=45\\\\90/3=30\\\\90/4=22.5\\\\90/5=18\\\\90/6=15\\\\90/9=10\\\\90/10=9](https://tex.z-dn.net/?f=90%2F2%3D45%5C%5C%5C%5C90%2F3%3D30%5C%5C%5C%5C90%2F4%3D22.5%5C%5C%5C%5C90%2F5%3D18%5C%5C%5C%5C90%2F6%3D15%5C%5C%5C%5C90%2F9%3D10%5C%5C%5C%5C90%2F10%3D9)
This means 4 is the only value that is not divisible into 90
I hope this helps with you
Answer: x = 4 and x = -3/2
Procedure:
1) Given: 2x^2 - 5x - 12 = 0
2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0
3) Rearrange: (2x)^2 -5(2x) - 24 = 0
4) Notice that the common factor is (2x)
5) Set the parenthesis with the common factor inside:
(2x ) (2x ) =0
6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)
(2x - )(2x + ) = 0
7) find two numbers that sum up - 5x and its product is -24.
- 8 + 3 = - 5
(-8)(+3) = -24
=> the numbers in the factors are -8 and +3
(2x - 8) (2x + 3) = 0
That is the factored equation. Now you can solve
8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4
b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2
Answer: the two solutions are x = 4 and x = -3/2
She could create 6 rows with 6 columns to display the cups.