Answer:
A. LCM of 6,9, and 15 is 90.
B. LCM of 3,12, and 16 is 48.
C. LCM of 8,9, and 12 is 72.
D. LCM of 24 and 18 is 72.
E. LCM of 21 and 28 is 84.
F. LCM of 19 and 42 is 798.
Step-by-step explanation:
Hope this helps! :)
Answer:
Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?
segment EG ≅ segment E prime G prime.
The slope of segment EF is the same as the slope of segment E prime H prime.
segment H prime F prime will overlap segment HF.
segment EH and segment E prime H prime both pass through the center of dilation.
Step-by-step explanation:
Answer:
Σ(-1)^kx^k for k = 0 to n
Step-by-step explanation:
The nth Maclaurin polynomials for f to be
Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + f"'(0)x³/3! +. ......
The given function is.
f(x) = 1/(1+x)
Differentiate four times with respect to x
f(x) = 1/(1+x)
f'(x) = -1/(1+x)²
f''(x) = 2/(1+x)³
f'''(x) = -6/(1+x)⁴
f''''(x) = 24/(1+x)^5
To calculate with a coefficient of 1
f(0) = 1
f'(0) = -1
f''(0) = 2
f'''(0) = -6
f''''(0) = 24
Findinf Pn(x) for n = 0 to 4.
Po(x) = 1
P1(x) = 1 - x
P2(x) = 1 - x + x²
P3(x) = 1 - x+ x² - x³
P4(x) = 1 - x+ x² - x³+ x⁴
Hence, the nth Maclaurin polynomials is
1 - x+ x² - x³+ x⁴ +.......+(-1)^nx^n
= Σ(-1)^kx^k for k = 0 to n
Answer:
Stop and Save
Step-by-step explanation:
Find the cost of one apple in each place.
<u>Quick Market</u>:
Divide the total cost with the amount of apples:
1.08/3 = 0.36
The cost for one apple in <em>quick market </em>is $0.36
<u>Stop and Save</u>:
Divide the total cost with the amount of apples:
1.10/5 = 0.22
The cost for one apple in <em>Stop and Save</em> is $0.22
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$0.22 < $0.36 ∴ <em>Stop and Save</em><em> </em>is cheaper than Quickmarket by $0.14, making Stop and Save your answer.
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The answer is (5x - 4y)(2a + b)
10ax + 5bx - 8ay - 4by = 10ax + 5bx - (8ay + 4by) =<span>
= 5x * 2a + 5x * b - (2a * 4y + b * 4y) =
= 5x(2a + b) - 4y(2a + b) =
= (5x - 4y)(2a + b)</span>