Answer:
Rational Numbers
Step-by-step explanation:
Answer:
There are now 6.5 ounces in the new bag.
Step-by-step explanation:
To solve this question, take 30% of 5 and add it to the original amount of 5
30% = 0.30
5 * 0.30 = 1.5
5 + 1.5 = 6.5 ounces of candy.
Hope this helps!
Step-by-step explanation:
The Taylor series expansion is:
Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!
f(x) = 1/x, a = 4, and n = 3.
First, find the derivatives.
f⁽⁰⁾(4) = 1/4
f⁽¹⁾(4) = -1/(4)² = -1/16
f⁽²⁾(4) = 2/(4)³ = 1/32
f⁽³⁾(4) = -6/(4)⁴ = -3/128
Therefore:
T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!
T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³
f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0. So we can eliminate the top left option. That leaves the other three options, where f(x) is the blue line.
Now we have to determine which green line is T₃(x). The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).
The bottom right graph is the only correct option.
Answer:
a) $14.37 sales tax
b) $25.13 left on gift card
Step-by-step explanation:
Purchases: 78.50 + 32.00 = 110.50
Sales tax: 13%:
1% of 110.50 = 1.1050
1.1050 x 13 = 14.365
rounded to 2 decimal places: $14.37
Total cost: 110.50 + 14.37 = $124.87
Gift card: 150.00 - 124.87 = 25.13
Answer:
The equation of Line is y = - 8x + 7
Step-by-step explanation:
Given as :
The slop of line is - 8
And The y intercept is 7
As the equation of line is y = mx + c
For y intercept , x = 0
So, With y intercept and slop ,
7 = (-8)× (0)+ c
Or, c = 7
So the equation of line is
y = mx + c
I.e y = ( - 8 ) x + 7
Hence The equation of Line is y = - 8x + 7 Answer
