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Thepotemich [5.8K]
3 years ago
10

If f(x) = 3x - 1 and g(x) = x + 2, find (1-9)(x).

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

(f-g)(x)=2x-3

Step-by-step explanation:

<em>The correct question is</em>

If f(x)=3x-1 and g(x)=x+2, find (f-g)(x)

we know that

(f-g)(x) is equal to subtract the function g(x) from the function f(x)

so

(f-g)(x)=f(x)-g(x)

substitute the given functions

(f-g)(x)=(3x-1)-(x+2)

Remove the parenthesis

(f-g)(x)=3x-1-x-2)

Combine like terms

(f-g)(x)=2x-3

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The force F between 2 objects is inversely proportional to the square of the distance, d between them. The force is 0.36 newtons
LenaWriter [7]

Answer:

0.73 N to 2 dp.

Step-by-step explanation:

F = k/d^2   where k is a constant , F = force and d = distance.

Substituting:

0.36 = k / (6)^2

k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.

When d = 4.2 :

F = 12.96 / 4.2^2

F = 0.73 Newtons to 2 dp.

5 0
3 years ago
Joe has to take two quizzes tomorrow. He has only enough time to study for one of them. The science quiz has 6 true or false que
finlep [7]

Answer:

C) English

Step-by-step explanation:

I don't really know how to explain it, so I'll show you instead.

For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.

So,

0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016

For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.

So,

0.25 x 0.25 x 0.25 x 0.25 = 0.004

They will have to study English (0.004) because it is lower than science (0.016).

4 0
3 years ago
Read 2 more answers
2. Javier used a microscope to measure the diameter
Elza [17]

Answer:

7 x 10^-5

Step-by-step explanation:

0.00001 is 1 x 10^-5 so multiply that by 7

5 0
4 years ago
Read 2 more answers
A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor a
trapecia [35]

Answer:

(24, 224 ) i.e. 24 basketball and 224 footballs

Step-by-step explanation:

<em>Basketball :</em>

uses 4 ounces of foam

20 minutes of labor

profit = $2.50

<em>Football :</em>

uses 3 ounces of foam

30 minutes of labor

profit = $2

Manufacturer has :

768 ounces of foam , 120 labor hours per week,

<u>using the simplex method to determine the optimal production schedule so as to maximize profits </u>

lets assume

x = number of basketball

y = number of footballs

maximize = 2.5 x + 2y  from a linear programming problem

attached below is the detailed solution

6 0
3 years ago
Is the quotient of two rational numbers always a rational number? Explain.
Natasha_Volkova [10]

Answer:

Yes,

Step-by-step explananation

The quotient of two rational numbers is always rational, and the reason for this lies in the fact that the product of two integers is always an rational number.

6 0
4 years ago
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