Answer
24
Explanation
4! This is read as 4 factorial.
It means;
4! = 4×3×2×1
= 24
What comes next is 0.75
The pattern rule is you add 0.15
Answer:
x = -2 or x = 1/2
Step-by-step explanation:
First get the eq in standard form, which means:
x² should not have that 2 in front of it
move the other 2 to the left
so first let's divide by 2:
x² + 3/2 x = 1
now move the 1 to the left
x² + 3/2 x - 1 = 0
now look for two numbers that, when multiplied, give -1, and when added, give 3/2. This is a bit of trial-and-error if you want to solve in this way.
The numbers are 2 and -1/2, since 2*-1/2 = -1, and 2 - 1/2 = 3/2
The factorization thus is:
x² + 3/2 x - 1 = (x+2)(x-1/2) = 0
Either factor (x+2) or (x-1/2) can be zero to solve the solution, hence x = -2 or x = 1/2
Answer:
92-7x
Step-by-step explanation:
88-3x-4x+4=92-7x
Answer:
30%: 35 liters
50%: 35 liters
Step-by-step explanation:
The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.
35 liters of 30% acid and 35 liters of 50% acid must be used
_____
If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...
0.50x +0.30(70 -x) = 0.40(70)
0.20x +21 = 28 . . . . simplify
0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20
x = 35 . . . . . . amount of 50% solution (liters)
70-x = 35 . . . amount of 30% solution (liters)