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4 years ago

How do I solve -6a+23=-4a+5(-6a-1)?

1 answer:

4 0

Easy£¥= Combine all the a’s on each side. Combine parenthesis first.Isolate the variables on both sides first. Answer= a=-1

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A ball is thrown into the air with an upward velocity of 28ft/s. Its height h in feet after t seconds is given by the function h

Pavlova-9 [17]

Answer:

In bold below.

Step-by-step explanation:

Find derivative which gives the velocity:

V = h' = -32t + 28

At maxm height V = 0 so

-32t + 28 = 0

Time to reach maxm height t = -28/-32 = 0.875 seconds.

So maxm height

= -16(0.875)^2 + 28*0.875 + 8

= 20.25 ft.

5 0

3 years ago

The length of the rectangle is 2x + 8 cm and the width is 2cm . The area of the rectangle is 12 cm

Ksju [112]

Answer:

x = - 1

Step-by-step explanation:

Length ( l ) = 2x + 8 cm

Width / Breadth ( b ) = 2 cm

Area ( rectangle ) = 12 cm

Formula : -

Area ( rectangle ) = lb

12 = ( 2x + 8 ) ( 2 )

Divide 2 on both sides,

12 / 2 = ( 2x + 8 ) ( 2 ) / 2

6 = 2x + 8

2x + 8 = 6

2x = 6 - 8

2x = - 2

x = - 2 / 2

x = - 1

5 0

3 years ago

Alice wants to make a fruit salad using 10 pieces of fruit. She can buy three types of fruits at the supermarket: Apples (A), Ba

sasho [114]

Answer:

There is a total of 66 different fruit salads.

Step-by-step explanation:

One fruit salad differs from the other only in the amount of pieces of certain fruit put in it. In order to easier denote fruit pieces we introduce these notations:

A-how many apples are put into the salad;

B-how many bananas are put into the salad;

C-how many cranberries are put into the salad.

Since she can freely choose the number of pieces of each fruit, we have these conditions for the variables A, B and C:

$0\leq A\ ,\ 0\leq B\ ,\ 0\leq C$ (she cannot choose a negative number of pieces)
$\ A\ ,\ B\ ,\ C\ \leq 10$ (because she can get the total of 10 pieces of fruit)

Another condition for forming the salad is that the salad must consist of exactly 10 pieces of fruit, hence we have this equation to solve:

$A+B+C=10$

but we must obtain the non-negative integer solutions of this equation.

That is equivalent to calculating the number of r-combinations of the multi-set S with objects of k different types with infinite repetition numbers.

The formula for obtaining the number of such r-combinations is:

${r+k-1\choose r}={r+k-1\choose k-1}$

We have that $k=3$ and that $r=10$ and we can observe the repetition number as infinite since she can create a fruit salad with only one piece of fruit and the repetition number in such cases is the maximum 10. Finally, we have that the total number of fruit salads equals: