Answer:
what is expected at 7am is 15 inches deep snow but what we have is 12 inches deep snow. The equation has failed in its prediction.
Step-by-step explanation:
In this question, we are asked to calculate if the prediction made by an equation modeled is correct.
Firstly let’s look at the equation in question;
y = 3t - 6
where y is the snow depth and t is the number of hours after midnight.
now we are looking at 7am, that’s 7 hours past 12am, meaning 7 hours after midnight.
let’s plug the value of t as 7 into the equation
y = 3(7) - 6
y = 21-6
y = 15 inches
according to the equation by Kevin, what is expected is 15 inches deep snow but what we have is 12 inches deep snow. The equation has failed in its prediction.
Answer:
It will take nine years and four months for the refrigerator to pay for itself.
Step-by-step explanation:
The new refrigerator which costs $1200, saves the family 22% annually in energy cost.
Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.
22% of $580
= 580 × 0.22
= 127.6
That is, it saved then $127.6 per year.
Now,
$1200/127.6
≈ 9.4
Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.
Answer:
(4d - 3e)(10d - 3e)
Step-by-step explanation:
(4d - 3e)² + 6d(4d - 3e) ← factor out (4d - 3e) from each term
= (4d - 3e)(4d - 3e + 6d) ← collect like terms inside parenthesis
= (4d - 3e)(10d - 3e)
Answer:
v=-5 and v=3
Step-by-step explanation:
We are given that

We have to find two solutions of quadratic equation.

Using addition property of equality
(By using factorization method)


Substitute each factor equal to 0
and 
and 
Hence, two solutions of quadratic equation are
v=-5 and v=3
8.11 x 10^-3
435
34 x 10^2
1.2 x 10^7