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Sati [7]
3 years ago
14

A six-pack of soda is on sale for $2.46. Find the cost of one can of soda.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0

Answer: A

Step-by-step explanation:

2.46/6 = .41

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5x^{2} + 3x = x^{2} + 7x
Ipatiy [6.2K]
5x^{2} + 3x = x^{2} + 7x\\
4x^2-4x=0\\
4x(x-1)=0\\
x=0 \vee x=1
8 0
3 years ago
Find the area between the graph of the function and the x-axis over the given interval, if possible.
vodomira [7]

Answer:

A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5

So then the integral converges and the area below the curve and the x axis would be 5.

Step-by-step explanation:

In order to calculate the area between the function and the x axis we need to solve the following integral:

A = \int_{-\infty}^1 \frac{5}{(x-2)^2}

For this case we can use the following substitution u = x-2 and we have dx = du

A = \int_{a}^b \frac{5}{u^2} du = 5\int_{a}^b u^{-2}du

And if we solve the integral we got:

A= -\frac{5}{u} \Big|_a^b

And we can rewrite the expression again in terms of x and we got:

A = -\frac{5}{x-2} \Big|_{-\infty}^1

And we can solve this using the fundamental theorem of calculus like this:

A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5

So then the integral converges and the area below the curve and the x axis would be 5.

7 0
3 years ago
P^2 - 17p + 72 factor the trinomial. enter smaller number first ? answer (p+?)(p+?)
klio [65]

Answer:

(p - 8)(p - 9)

Step-by-step explanation:

We need  2 numbers whose product is + 72 and whose sum = -17.

They are -8 and -9


3 0
3 years ago
Is 2(x-5)=5x+23 a true or false equation ​
sergiy2304 [10]
False ......................................
5 0
3 years ago
Read 2 more answers
Please someone help me
ruslelena [56]

Answer:

r = 0.046212737

Step-by-step explanation:

A = 14,400 (what your investment originally is)

P = 7,200 (what you want your investment to be)

n = 365 (interest is compounded daily)

t = 15 (15 years)

Plug all of these numbers into the equation, then solve for r

14,400 = 7,200(1 + r/365)^365 · 15

Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15

365 · 15 = 5475 --> 2 = (1 + r/365)^5475

5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)

(5475√(2)) - 1 = r/365 (subtract one from both sides)

((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)

Type the left side into the calculator to get r --> 0.046212737.

Hope this helps!

8 0
3 years ago
Read 2 more answers
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