Answer:
James answered 51 questions correctly.
Step-by-step explanation:
1) Slide the decimal 2 places to the left in the percentage (85% = .85)
2) Multiply total by new decimal (60 x .85)
3) All done! (51)
Keep in mind that 100% is just 1 whole. Therefor 85% of one whole is .85. In this problem, 60 represents our whole.
Answer:
45 meters
Step-by-step explanation:
Quadratic formula
factoring
graphing
completing the square
factoring by grouping
Rational Roots Theorem
synthetic division
Take a look at <span>5x^2 – 34x + 24 = 0. The last term could have been the result of these different possible muliplications: 1*24, 2*12, 3*8, 4*6. The leading term is 5, whose factors are 5 and 1. Thus, possible rational roots would be
4/5 (the 4 is a factor of 24 and the 5 is a factor of 5) and 6/1 (the 6 is a factor of 24 and the 1 is a factor of 5).
Using synth. div. to check whether 6 is actually a root:
___________________
6 / 5 -34 24
30 -24
------ --------------------------
5 -4 0
since the remainder is 0, we can safely call 6 a "root."
Note the remaining coefficients, 5 and -4:
They correspond to the factor 5x - 4. If we set this difference = to 0, and solve for x, we get x = 4/5 (which is correct).
The roots of </span><span>5x^2 – 34x + 24 = 0 are x = 4/5 and x= 6/1.</span>
Answer:
A. 34; B. 40. D. 88
Step-by-step explanation:
The rule is, "multiply by six and subtract two."
So, if we add two to the number, it should be evenly divisible by 6.
We can check each number.
A. 34 + 2 = 36; 36/6 = 6. TRUE.
B. 40 + 2 = 42; 42/6 = 7. TRUE.
C. 55 + 2 = 57; 57/6 = 9½. False.
D. 88 + 2 = 90; 90/6 = 15. TRUE.
E. 119 + 2 = 121; 121/6 = 20⅙. False.
The numbers that satisfy the rule are 34, 40, and 88.
You can find that by doing -24 / -8 = 3 so the second part will be x+3
( x + 3 )( x - 8 )
To see if it's true we can solve it
x^2 + 3x - 8x - 24
x^2 - 5x -24
