All categories

3 years ago

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

Mathematics

1 answer:

expeople1 [14]3 years ago

5 0

Answer:

x-3

Step-by-step explanation:

f(x) = 3x – 2

g(x) = 2x + 1

(f – g)(x) = 3x-2 - ( 2x+1)

Distribute the minus sign

= 3x-2 -2x -1

= x -3

You might be interested in

I dont get it yall help

docker41 [41]

Answer:

(-2,6)

Step-by-step explanation:

The solution to the system of equations should be true for both equations. This means that if you substitute -2 into both equations, you should get 6 as the y value for both equations.

They gave you a graph, and to find the solution from the graph, you just look at which point is shared by both lines, or at which point both lines intersect.

There is also a mathematical way to do it using substitution and elimination, but you should master the graphing method first before moving onto those.

5 0

3 years ago

You find 72 coins consisting only of nickels, dimes, and quarters, with a face value of $10.20. However, the coins all date from

Oliga [24]

Answer:

You have found 24 nickels.

Step-by-step explanation:

Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:

$N+D+Q=72\\0.05N+0.10D+0.25Q=10.20$

As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:

$10N+20D+15Q=1,060$

Solving the linear system:

$N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24$

You have found 24 nickels.

7 0

3 years ago

Which even number is not a composite number 2 4 6 8

sergij07 [2.7K]

2 is not a composite number as it can't be divided rather than 1 or other number.

hope it helps!

5 0

3 years ago

Jennifer is ordering cake for her wedding reception. If one cake feed 18 people, how many cakes does she need to order for 150 p

ehidna [41]

Answer:

8 1/3 cakes

Step-by-step explanation:

Step 1:

1 : 18 Ratio

Step 2:

1 : 18 = x : 150 Proportion

Step 3:

150 = 18x Multiply

Step 4:

150 ÷ 18 = x Divide

Answer:

x = 8 1/3

Hope This Helps :)

8 0

3 years ago

Which equation represents the line that passes through (-6, 7) and (-3, 6)

Tju [1.3M]

Plug the given x and y values (x, y) into the equations and solve
It look like the second equation is the answer.
$6 = - \frac{1}{3} ( - 3) + 5 \\ 6 = 1 + 5 \\ true$

4 0

3 years ago

Read 2 more answers