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3 years ago

F(x) = x2 + 2x-5 g(x) = -3/2 - 4x + 1 What is f(x) – g(x)?

Mathematics

1 answer:

NeX [460]3 years ago

6 0

Step-by-step explanation:

Start by finding (fog)(x)

To find this function, substitute x=

x−1

That is g(x) into f(x)

⇒(f∘g)(x)=(

x−1

)

−2(

x−1

)+5

(x−1)

−

x−1

Now substitute x=3

⇒(f∘g)(3)=

(3−1)

−

3−1

−

+5=4−4+5=5.

Hope it helps:)

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8x-3(2x-4)≤ 3(x-6)

OlgaM077 [116]

The solution to the inequality expression is x ≥ 30

<h3>How to solve the inequality expression?</h3>

The inequality expression is given as:

8x - 3(2x - 4) ≤ 3(x - 6)

Open the brackets in the above inequality expression

8x - 6x + 12 ≤ 3x - 18

Collect the like terms in the above inequality expression

8x - 6x - 3x ≤ -12 - 18

Evaluate the like terms in the above inequality expression

-x ≤ -30

Divide both sides of the above inequality expression by -1

x ≥ 30

Hence, the solution to the inequality expression is x ≥ 30

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2 years ago

What is the location of the point on the number line that is 3/7 of the way from A=6 to B=20?

-Dominant- [34]

Answer:

Step-by-step explanation:

20-6=14 (Distance between points) then 14*3/7=6.

3/7 of the distance from A=6 to B=20 is 6. Thus, we find the point that is

3/7 of the distance from A=6 to B=20 by adding 6 to 6.

6+6= 12

Therefore, the point that is

3/7 from A=6 to B=20 is 12.

7 0

2 years ago

The cash drawer of the market contains $227. There are six more $5 bills than $10 bills. The number of $1 bills is two more than

k0ka [10]

Answer:

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

Step-by-step explanation:

There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:

$x + 5*y + 10*z = 227$

We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:

$y = z + 6\\x = 2 + 24*z$

Applying these values on the first equation, we have:

$2 + 24*z + 5*(z + 6) + 10*z = 227\\2 + 24*z + 5*z + 30 + 10*z = 227\\39*z + 32 = 227\\39*z = 227 - 32\\39*z = 195\\z = \frac{195}{39}\\z = 5$

Applying z to the formulas of y and x, we have:

$y = 5 + 6 = 11\\x = 2 + 24*5 = 122$

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

4 0

3 years ago

A theatre ticket costs £37 plus a booking fee of 4%.<br>What is the total price of the ticket?

Studentka2010 [4]

Answer:

£38.48

Step-by-step explanation:

First, we have to find what 4% of 37 is, so our equation is:

37 x 0.04 = 1.48

Then we have to add that 4% to the original cost:

1.48 + 37 = 38.48

So the total price of the theatre ticket is £38.48

6 0

3 years ago

Dan earns $42.75 per month working as a tutor. He worked as a tutor for 4 months. He also earned $52.45 walking dogs in the neig

vagabundo [1.1K]

Answer:

He subtracted incorrectly

Step-by-step explanation:

You multiply 42.75 x 4 and get 171. Then you add 171+52.45=223.45 and then you subtract 223.45-18=205.45 and then you multiply 223.45 x .3333 = 68.3265 or 68.33 (rounded)

7 0

3 years ago