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3 years ago

you can buy 3 apples at the quick stop for $1.29. you can buy 5 apples at shop and save for $2.45. which place is better buy?

Mathematics

1 answer:

Airida [17]3 years ago

8 0

Answer:

Quick Stop -

3 apples = $1.29

1 apple = $0.43

Shop -

5 apples = 2.45

1 apple = 0.49

So the quick stop is better!

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To determine the inverse of function f,

lisabon 2012 [21]

Answer:

To determine the inverse of function f, change f(x) to y, switch x and y, and solve for y.

$\frac{1}{8} (x-4)^3$

Step-by-step explanation:

f(x) = $\sqrt[3]{8x} +4$

Change f(x) to y: y = $\sqrt[3]{8x} +4$

Switch x and y: x = $\sqrt[3]{8y} +4$

Solving for y: x - 4 = $\sqrt[3]{8y}$

(x-4)^3 = 8y

y = $\frac{1}{8}$ $(x-4)^3$

Therefore: inverse of function f = $\frac{1}{8} (x-4)^3$

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3 years ago

Find an equation of the sphere with point P such that the distance from P to A(−2, 6, 2) is twice the distance from P to B(4, 3,

Sveta_85 [38]

Answer:

$3*x^{2} - 36*x + 3*y^{2} -12*y + 3*z^{2} -4*z + 62 = 0$

Step-by-step explanation:

The distance from a point $P = (x,y,z)$ to another point $A = (a,b,c)$ is given by $((x-a)^{2} + (y-b)^{2} + (z-c)^{2})^{1/2}$ .

So, if the distance from P to A is twice the distance from P to B, we have an equality given by:

$((x+2)^{2} + (y-6)^{2} + (z-2)^{2})^{1/2} = 2*((x-4)^{2} + (y-3)^{2} + (z+1)^{2})^{1/2}$

If we power by 2 both sides of the equality to remove the square roots, we have:

$(x+2)^{2} + (y-6)^{2} + (z-2)^{2} = 4 * ((x-4)^{2} + (y-3)^{2} + (z+1)^{2})$

And solving every parenthesis and operating the similar terms, we have:

$(x^{2} + 4*x + 2) - 4*(x^{2} - 8*x + 16) + (y^{2} - 12 * y + 36) - 4*(y^{2} -6*y + 9) + (z^{2} -4*z+4) - 4*(z^{2}+2*z+1) = 0$

Operating and multiplying both sides by -1:

$(3*x^{2} - 36*x +62) + (3*y^{2} -12*y + 0) + (3*z^{2} -4*z + 0) = 0$

Giving as result:

$3*x^{2} - 36*x + 3*y^{2} -12*y + 3*z^{2} -4*z + 62 = 0$

The sphere can be seen here: https://www.wolframalpha.com/input/?i=3*x%5E2+-+36*x+%2B+3*y%5E2+-12*y+%2B+3*z%5E2+-4*z+%2B+62+%3D+0

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4 years ago

How many solutions does the equation 3x+15=2x+10+x+5 have

sveticcg [70]

Answer:

Infinite

Step-by-step explanation:

3x+15=2x+10+x+5

grouping

3x+15=3x+15

If you have a equation where both sides are the exactly the same, the solutions are infinite. This is written as: x€ℝ

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3 years ago

The sum of two numbers is 200 and the two numbers are in a ratio of 4 to 6 find the larger number

Lesechka [4]

The larger number is 120
The other is 80

4 0

3 years ago

Hello !! 1 question : one serving of pasta contains 210 calories.what percentage of a 2000-calorie diet is contained in one serv

andrew11 [14]

1) 210/2000=10.5%
2) What percentage of 64.99 is 45.49?
45.49/64.99=.699
.699=69.9%

5 0

3 years ago

you can buy 3 apples at the quick stop for $1.29. you can buy 5 apples at shop and save for $2.45. which place is better buy?​

you can buy 3 apples at the quick stop for $1.29. you can buy 5 apples at shop and save for $2.45. which place is better buy?