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2 years ago

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Jakob is buying juice boxes for the after school program. On Monday, he purchases 4 apple juices and 1 berry juice for a total o

f $13.25. On Wednesday, he purchases 8 apple juices and 5 berry juices for a total of $36.25. How much does an apple juice cost?

1 answer:

Juli2301 [7.4K]2 years ago

3 0

Answer:

Step-by-step explanation:

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X2+y2=r2 Solve for y

Kaylis [27]

Answer: $y=\sqrt{r^{2} -x^{2} }$

Step-by-step explanation:

x^2+y^2=r^2 --> subtract x^2 to other side

y^2=r^2-x^2 --> square root both sides

y=sqrt(r^2-x^2)

3 0

2 years ago

Pls help with 29..tank you

trapecia [35]

Answer:

See below

Step-by-step explanation:

Let the 2 roots be A and A^2.

Then A^3 = c/a and A + A^2 = -b/a.

Using the identity a^3 b^3 = (a + b)^3 - 3ab^2 - 3a^2b:-

A^3 + (A^2)^3 = ( A + A^2)^3 - 3 A.A^4 - 3 A^2. A^2

= (A + A^2)^3 - 3A*3( A + A^2)

Substituting:-

c/a + c^2/a^2 = (-b/a)^3 - 3 (c/a)(-b/a)

Multiply through by a^3:-

a^2c + ac^2 = -b^3 + 3abc

Factoring:-

ac(a + c) = 3abc - b^3

This is not the formula required in the question but let's see if the formula in the question reduces to this. If it does we have completed the proof.

a(c - b)^3 = a(c^3 - 3c^2b + 3cb^2 - b^3) = ac^3 - 3ac^2b + 3acb^2 - ab^3

c(a - b)^3 = c(a^3 - 3a^2b + 3ab^2 - b^3) = ca^3 - 3a^2bc + 3acb^2 - cb^3.

These are equal so we have

ca^3 - 3a^2bc + 3acb^2 - cb^3 = ac^3 - 3abc^2 + 3acb^2 - ab^3

The 3acb^2 cancel out so we have:-

a^3c - ac^3 = 3a^2bc - 3abc^2 + b^3c - ab^3

ac(a^2 - c^2) = 3abc( a - c) + b^3(c - a)

ac(a + c)(a -c) = 3abc(a - c) - b^3 (a - c)

Divide through by (a - c):-

ac(a + c) = 3abc - b^3 , which is the result we got earlier.

This completes the proof.

3 0

3 years ago

Read 2 more answers

What is the area of a circle with a diameter of 2

Yanka [14]

Answer:

the area of a circle is always pi so 3.14159

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Solve p/7 = 14 for p

Paul [167]

P would equal 98 i believe because since you are dividing p by 7 you would have to do the reverse to get p by itself which would be p=14*7 or p=98

3 0

2 years ago

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X and Y are loss random variables, with X discrete and Y continuous. The joint density function of X and Y is f(x, y) = [(x+1)e-

STALIN [3.7K]

Answer:

The probability that the total loss, X + Y is less than 2 is P=0.235

Step-by-step explanation:

We know the joint density function:

$f(x,y)=\frac{(x+1)e^{-y/2}}{12}$

To find the probability that (X+Y)<2, we can divide this in two steps.

- When X=0, Y should be less than 2. This is P(X=0,Y<2).

- When X=1, Y should be less than 1. This is P(X=1, Y<1).

We can calculate P(X=0,Y<2) as:

$P(X=0,Y$

We can calculate P(X=1,Y<1) as:

$P(X=1,Y$

Then

$P(X+Y$

3 0

2 years ago