Answer:
Step-by-step explanation:
A)
This is the 30% discount:
$39.99 x .30 = $11.997; The discount is $11.997
Price of headphones after the discount:
$39.99 - $11.997 = $27.99
Now we need to calculate the 6% sales tax on the discounted price.
$27.99 x .06 = $1.68 (rounded off)
Dalton paid $1.68 in sales tax on the discounted price.
B)
The total price Dalton paid for the headphones will be the discounted price plus the sales tax.
$27.99 + $1.68 = $29.67
Total price Dalton paid: $29.67
Answer:
The weather is generally sunnier in City 2.
Step-by-step explanation:
We can notice from the spread in the temperatures of the two given cities that, the high temperature points are more in city 2 than in city 1.
So, we can conclude that city 2 is generally more warmer than city 1, hence the correct answer is:
The weather is generally sunnier in City 2.
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C
Answer:
Yes they are
Step-by-step explanation:
If two sides and one angle is the exact same then the triangles are congruent.
6m^2n^2 - 3mn + 4mn + 13m^2n^2 + 9
combine like terms
19m^2n^2 + mn + 9 <==