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4 years ago

What are the dimensions of a rectangular box with a volume of 50b^3 + 75b^2 - 2b - 3?

Mathematics

1 answer:

const2013 [10]4 years ago

5 0

(A) is the correct answer choice:)

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Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th

ELEN [110]

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

$S - F = 5$ ---- (1)

From the second, we have:

$S - B = 8$ ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

$F = S - 5$

$B = S - 8$

Their product is represented as follows:

$F * B = 40$

Substitute values for F and B

$(S - 5) * (S - 8)=40$

Open bracket

$S^2 - 5S -8S + 40 = 40$

$S^2 - 13S + 40 = 40$

Subtract 40 from both sides

$S^2 - 13S = 0$

Factorize:

$S(S - 13) = 0$

Split:

$S = 0$ or $S - 13 = 0$

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

$S - 13 = 0$

Make S the subject

$S = 13$

<em>Hence, Sarah is 13 years old</em>

3 0

3 years ago

Four times as many apples. Algebraic expression

beks73 [17]

4x. hope that helped

3 0

3 years ago

A chemical reaction took 7380 seconds. How many did the reaction take? If necessary, round your answer to the nearest hundredth

Radda [10]

<em>It took about 2.05 hours!
its already round to the nearest hundredths of an hour
</em>

6 0

3 years ago

Read 2 more answers

A shirt company has 4 designs each of which can be made with short or long sleeves. There are 7 color patterns available. How ma

aleksley [76]

4 designs
Short/Long sleeves = 2 types of sleeves
7 different patterns

4 x 2 = 8
8 x 7 = 56

Answer:
The company sells 56 different types of shirts.

EDITED

Hope my answer helps :)

6 0

3 years ago

Read 2 more answers

Please resolve this problem for me! I've been having trouble with this for a while.

Bad White [126]

Answer:

a) 41

b) -31

c) 25/3

Step-by-step explanation:

The instructions explain what a function is pretty clearly.

Basically, whatever is in the parentheses next to the $f$ , you plug in to the expression that is the function.

ex: $f(x) = x + 4$

$f(5) = 5 + 4 = 9$

Okay, onto the problems:

a) $f(x) = 3x - 1$

First, plug in 14, since that is given:

$f(14) = 3(14) - 1$

and solve.

$f(14) = 42 - 1$

$f(14) = 41$

So, 41 is the answer to a.

b) Do the same thing you did in problem a. Plug in the number inside the parentheses and solve.

$f(-10) = 3(-10) - 1$

$f(-10) = -30 - 1$

$f(-10) = -31$

-31 is the answer to b.

c) For this problem, you have to do a bit of algebra.

First, take the base function f(x):

$f(x) = 3x - 1$

Then, set f(x) = 24:

$24 = 3x - 1$

and solve by isolating x.

$25 = 3x$

$\dfrac{25}{3} = x$

$x = \dfrac{25}{3}$

25/3 is the answer to c.

8 0

2 years ago