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2 years ago

How do you think you could simplify f(x) + g(x) if f(x) = 3x + 2 and g(x) = 4x?

Mathematics

1 answer:

NARA [144]2 years ago

7 0

Step-by-step explanation:

f(x) = 3x + 2

g(x) = 4x

= f(x) + g(x)

= 3x + 2 + 4x

= (3 + 4)x + 2

= 7x + 2

(f+g)(x) = 7x + 2

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A high school athletic department bought 40 soccer uniforms at a cost of $3,000. After soccer season they returned some uniforms

quester [9]

Interesting problem.

First - let's figure cost of each uniform at purchase.

3,000/40 = $75 each

When some uniforms were returned at $40 - there was a difference of $35 in what they paid and what they rec'd in return. ($75 - 35 = $40)

8 0

3 years ago

2(3w-5y) expanded <br>please

Snezhnost [94]

<h2><u>DISTRIBUTIVE PROPERTY</u></h2>

The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.

In general terms:

‎ ‏‏‎

<u>In this exercise</u>:

Let's apply the distributive property:

$\mathsf{2(3w - 5y)}$

$= \mathsf{2(3w) - 2(5y)}$

$= \boxed{\mathsf{6w - 10y}}$

‎ ‏‏‎

<h3><u>Answer</u>: 6w - 10y</h3>

‎ ‏‏‎

7 0

2 years ago

Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.

Troyanec [42]

Answer:

x = 6

Step-by-step explanation:

If A, B and C lies on a straight line in order, then;

AB+BC = AC

x+12+2x-4 = 26

x+2x+12-4 =26

3x+8 = 26

3x = 26-8

3x = 18

x = 18/3

x = 6

Hence the value of x is 6

4 0

2 years ago

3x²=12 extracting square roots

ivann1987 [24]

Answer:

x = ± 2

Step-by-step explanation:

Given

3x² = 12 ( divide both sides by 3 )

x² = 4 ( take the square root of both sides )

x = ± $\sqrt{4}$ = ± 2

3 0

3 years ago

A right regular pentagonal prism has a base edge length 14 cm, and height 12 cm. Identify the volume of the prism to the nearest

maks197457 [2]

Answer:

4046.56 cm3

Step-by-step explanation:

The base is made by 5 isosceles triangles, with one side of 14 cm, and the opposite angle of $\frac{360} 5 = 72°$ . Each of the other angle is $\frac{180-72} {2} =54°$ . From there, you can calculate the height of each base triangle as in $\frac {h} 7 = tan54$ or 9.634...cm.

Your volume will be $5 * \frac {(14 * 9.634)} 2 * 12 = 4046.56 cm^3$

7 0

3 years ago