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Dimas [21]
3 years ago
8

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

Mathematics
2 answers:
mestny [16]3 years ago
8 0
F(x) = 3x-1
g(x) = x+2

Find (f-g)(x), this means we need to subtract g from x.

(3x-1) - (x+2)

Subtract the like terms:

3x -x = 2x

-1 -2 = -3

Combine them to get 2x-3

The answer is A.
Vladimir [108]3 years ago
6 0

Answer:

Option A.

Step-by-step explanation:

The given functions are

f(x)=3x-1

g(x)=x+2

we need to find the function (f-g)(x).

Using the composition of functions the subtraction of two functions is defined as

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

Substitute the given values of functions f(x) and g(x).

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

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

On combining line terms we get

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

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

Therefore, the correct option is A.

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Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms.
vodka [1.7K]

Answer: it is

Step-by-step explanation: the next numbers are 1.5, 3, 4.5.

6 0
3 years ago
A Family spends 240.00 per week on food. If this is 16% of their income, what is the families weekly income?
nexus9112 [7]
Answer: The family's weekly income is $1500

-------------------------------------------

Work Shown:

x = weekly income (in dollars)

16% of x = amount spent on food per week
16% of x = 240
(16/100)*x = 240
0.16*x = 240
0.16*x/0.16 = 240/0.16
x = 1500

5 0
3 years ago
A 7000.00 principal is invested in 2 accounts, 1 earning 3%interest the other 7% interest with the total interest for the year 2
MakcuM [25]

Answer:

The amount in the first account is $5,700

The amount in the second account is $1,300

Step-by-step explanation:

Let the mount invested in the first account be x and the one invested in the second account be y.

Then the total principal is x+y=7000---->(1)

The interest in the first account is .03*x

The interest in the first account is .07*y

The total interest for the year  is 262.00.

This implies that:

0.03x+0.07y=262---->(2)

We solve the two equations simultaneously to get:

x=5,700 and y=1,300

7 0
3 years ago
Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total pu
Alika [10]

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) \cdot 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

(3x + 7.5) \cdot 106\% = $126.81

(3x + 7.5) \cdot \frac{106}{100} = $126.81

3x + 7.5 = $126.81 \cdot \frac {50}{53}

3x = $119.6 - 7.5

3x = 112.1

x \approx \$37

Hope this helped!

6 0
2 years ago
Giving away the last of my points :( <br> please answer these two questions
o-na [289]

Answer:

i think it a and c

Step-by-step explanation:

if i'm wrong sorry bout that i was just trynna help.since ur giving away ur last points u can go to my account and anwer my questions u dont have to give me the right  answer or anything i promise i wont report u just do that and you can get mote points :)

8 0
2 years ago
Read 2 more answers
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