Answer:
45(a + 2b)
Step-by-step explanation:
45a
step1 in order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...) The number of times that each prime divides the original integer becomes its exponent in the final result
Prime number 3 to the power of 2 equals 9 .
Prime number 5 to the power of 1 equals 5 .
90b
do the same as above
Prime number 2 to the power of 1 equals 2 .
Prime number 3 to the power of 2 equals 9 .
Prime number 5 to the power of 1 equals 5 .
Answer:
C. 14
Step-by-step explanation:
F(x) = ∫₀²ˣ √(t³−15) dt
Use second fundamental theorem of calculus:
F'(x) = √((2x)³−15) d/dx (2x)
F'(x) = 2 √(8x³−15)
Evaluate at x=2:
F'(2) = 2 √(8×2³−15)
F'(2) = 2 √(64−15)
F'(2) = 2 √49
F'(2) = 14
Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.
The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.
The digits X and Y are 3 and 9, so the original number is 39.
Answer:
9 3/4
Step-by-step explanation:
Strategy: first cancel the fraction part of the mixed number, then subtract the remaining fraction from the integer obtained.
10 1/2 - 3/4 = 10 1/2 - 1/2 - 1/4
= 10 -1/4
= 9 3/4
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Strategy: turn the subtracted fraction into a whole number by adding 1/4 to both parts of the problem, then subtract the whole number.
10 1/2 - 3/4 = (10 1/2 +1/4) -(3/4 +1/4)
= 10 3/4 -1
= 9 3/4
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We assume that you know that 1/2 + 1/4 = 3/4, or 3/4 -1/2 = 1/4. If you need to, you can get there by using the equivalent: 1/2 = 2/4.
Answer:C
Step-by-step explanation:
