Answer:
Step-by-step explanation:
3x+4(-0.5x+8)=36
3x-2x+32=36
X=36-32
X=4
Answer:
y² = 36x
Step-by-step explanation:
Parabola opens right.
Thus equation is from; y² = 4ax
And focus is at (a, 0)
Since we are given focus at (9, 0),it implies that a = 9
Thus, equation of parabola is;
y² = 4 × 9 × x
y² = 36x
Answer:
Approximately 2 months
Step-by-step explanation:
Tricia: f(d) = 5.15m + 10.25
Melanie: f(d) = 10.25m
f(d) is the total savings altogether
m is the amount of months
5.15(2) + 10.25 = 20.55
10.25(2) = 20.50
They will have the same amount of savings in approximately 2 months
1.990291 is the actual time (in months) they will be the same
Answer:
$28.77
Step-by-step explanation:
What you do is the coupon for 10% off first which equaled 2.997, but you have to round to $3.00.
You minus 3*9.99 which equals $29.97 and $3.00 to get $26.97.
You then times $29.97 by 6% to get 1.80.
You then add it to $26.97.
You get $28.77.
Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.