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katrin2010 [14]
3 years ago
15

Find each function value1. f(7) if (x)=5x2. f(4) if f(x)=3x-1

Mathematics
1 answer:
Inessa [10]3 years ago
6 0

<u>ANSWER</u>

1. \:  \: f(7) = 35

2. \: f(4) = 11

<u>EXPLANATION</u>

To find the value of a function, f(x) at a given value x=a, we plug in x=a into f(x) to obtain f(a) in simplified form.

The first function is

f(x) = 5x

To find f(7), we substitute x=7, into the function.

\implies f(7) =5(7) =  5 \times 7 = 35

The second function is

f(x) = 3x - 1

To find f(4), we replace x with 4 to obtain,

f(4) = 3(4) - 1

f(4) = 12 - 1 = 11

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Shipping box is a cube, with units

Fish food is an unitary cube, that means have x,y,z measures the same

Shipping box is a parallelepip box. Rectangular

Volume of shipping box is found by formula

V = X•Y•Z

X = 3ft, Y=3 3/4 ft, Z=3 1/4 ft

then V = (3•3+ 3•3/4)•(3+1/4) = (11 +1/4)• (3+1/4) = 33 + 11/4 + 3/4 + 1/16

V = 33 + 2 + 3/4+ 3/4 +1/16 = 35 + 25/16 = 34+ 9/16

Now, find volume using packing cubes

How many fish food boxes fit

In X direction it fits 3/(1/4) = 12

In Y direction it fits (3+3/4)/(1/4)= 15

In Z direction it fits (3+1/4)/(1/4) = 10

Now then multiply 12x15x10= 1800 fish boxes fit in larger box

3 0
1 year ago
PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
marissa [1.9K]

Answer:

53°

Step-by-step explanation:

It is given that the total measurement of the two angles combined would equate to 116°.

It is also given that m∠WXY is 10° more then m∠ZXY.

Set the system of equation:

m∠1 + m∠2 = 116°

m∠1 = m∠2 + 10°

First, plug in "m∠2 + 10" for m∠1 in the first equation:

m∠1 + m∠2 = 116°

(m∠2 + 10) + m∠2 = 116°

Simplify. Combine like terms:

2(m∠2) + 10 = 116

Next, isolate the <em>variable</em>, m∠2. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10 from both sides of the equation:

2(m∠2) + 10 (-10) = 116 (-10)

2(m∠2) = 116 - 10

2(m∠2) = 106

Next, divide 2 from both sides of the equation:

(2(m∠2))/2 = (106)/2

m∠2 = 106/2 = 53°

53° is your answer.

~

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