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3 years ago

Original amount: 17, new amount: 21

Mathematics

2 answers:

IrinaVladis [17]3 years ago

7 0

Answer: 4

Step-by-step explanation:

I don't really understand the question your asking but that's the only answer i got, to be honest.

Naddik [55]3 years ago

3 0

Answer:

Not really sure what you're asking but if it's how 17 got to 21 just add 4?

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Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.

ivolga24 [154]

9514 1404 393

Answer:

-4

Step-by-step explanation:

The points at the ends of the interval are ...

(3, f(3)) = (3, 8)

(6, f(6)) = (6, -4)

The slope is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.

6 0

3 years ago

A kingfish needs to be cut into 8-ounce pieces. If the fish weights 12.5 pounds, how many pieces can be cut? 1 pound=16 ounces

Mkey [24]

Answer:

25 pieces

Step-by-step explanation:

12.5 * 16= 200 ounces

therefore 200/8=25

7 0

3 years ago

A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu

Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

$a = \sqrt{f + 4} - \sqrt{36 - f}$

Required

Find f when a = 4

Substitute 4 for a

$4 = \sqrt{f + 4} - \sqrt{36 - f}$

Rewrite as:

$\sqrt{36 - f} + 4 = \sqrt{f + 4}$

Square both sides

$(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2$

$(\sqrt{36 - f} + 4)^2 = f + 4$

$36 - f + 8\sqrt{36 - f} + 16 = f + 4$

Collect Like Terms

$8\sqrt{36 - f}= f +f+ 4 - 36 -16$

$8\sqrt{36 - f}= 2f -48$

Divide through by 2

$4\sqrt{36 - f}= f -24$

Square both sides

$16(36-f) = (f - 24)^2$

$16(36-f) = f^2 - 48f + 576$

$576-16f = f^2 - 48f + 576$

$-16f = f^2 - 48f$

Collect like terms

$f^2 - 48f + 16f = 0$

$f^2 -32f = 0$

Factorize

$f(f - 32) = 0$

$f = 0$ or $f = 32$

f can not be 0 because some units must be ordered.

So, f = 32

6 0

3 years ago

A map of the United States is displayed in the classroom with a scale of

Marysya12 [62]

Answer:

27.5 cm

Step-by-step explanation:

because 0.25 x 110 = 27.5

3 0

2 years ago

Read 2 more answers

How do you solve 11+6(x+5)=42/ 9

kvasek [131]

First do the solving you CAN do

17(x+5)=4.67

then, get x by itself my moving 5 and 17 over

(17(x+5)/17=4.67/17

x+5=.<span>2745

x=-</span><span>4.725

and there's the answer!</span>

5 0

3 years ago