Answer: False
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Explanation:
I'll use x in place of p.
The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.
Compare this to ax^2+bx+c = 0
We have
Plug those three values into the discriminant formula below
d = b^2 - 4ac
d = (-5)^2 - 4(10)(8)
d = 25 - 40*8
d = 25 - 320
d = -295
The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".
Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.
Answer:
448 cubes
Step-by-step explanation:
Volume of cubes fitted in the box will be equal to the cumulative volume of the cubes.
Since, volume of a cube = (Side)³
Side of the cube =
inch
Therefore, volume of the cube =
inches
Volume of the storage box = 56 cubic inches
Since, number of cubes fitted in the storage box = 
= 
= 56 × 8
= 448 cubes
Therefore, number of cubes fitted in the storage box = 448
1,144
You first take 1,100, multiply it by .04, and you get 44. Add 44 to 1,100 and you get your answer.
The exact cost is $23.75 for the show, and the exact change they should get is $1.25.
An adult ticket to the show costs $5.50
A student ticket to the show costs $4.25.
A family buys two adult tickets and three student tickets. This would imply that the total cost of two adult tickets would be
⇒ 2 × 5.5 = $11
It also implies that the total cost of three student tickets is
3 × 4.25 = $12.75
The total cost of two adult tickets and three student tickets is
⇒ 11 + 12.75 = $23.75
If the family pays $25, the exact change they should get is
⇒ 25 - 23.75 = $1.25
Thus, the exact cost is $23.75 for the show, and the exact change they should get is $1.25.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
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Solution:
we have been asked to find
The expression is equivalent to 
we can simplify the given expression as below

Hence the simplified expression , equaivalent to the given expression is 1/2.