Answer:
4·6 = 24 ≠ 12 = LCM(4, 6)
Step-by-step explanation:
Any pair of numbers with a common factor will refute Sarah's conjecture.
One such pair is 4 and 6, which have a product of 24. The LCM of 4 and 6 is 12, which is that product divided by their common factor of 2.
<span>Simplifying
14x + -21xy
Factor out the Greatest Common Factor (GCF), '7x'.
7x(2 + -3y)
Final result:
7x(2 + -3y)
that is the answer on how to do it</span>
Answer:
1) $101,400
2) $27,000
Step-by-step explanation:
1) For this, we can first find how much she makes in a year from her salary alone:
$2,200×12= $26400.
Now, she also received a commission of 2.5%, so we can take this percentage from 3 million to find the total from commission:
3,000,000×0.025= $75,000
Adding these two gives us a total of $101400.
2) We can use the Simple Interest Formula to solve this (I= Prt). Plug in the values given to give us:
I= 5000(1.08)(5)
I= $27000
Answer:
(3,1)
Step-by-step explanation:
y=-4x^2+24x-35
x-intercept of the vertex formula:
v=-b/2a
a=-4
b=24,
c=-35
v = - 24/2(-4)
v = -24/-8
v = 3
substitute x as v
y= -4(3)^2 + 24(3) - 35
y= -4(9) + 72 - 35
y = -36 +72 - 35
y = 36 - 35
y = 1
therefore the vertex is
(3,1)
