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Stells [14]
2 years ago
15

F(x) = -4x2 + 4x – 4 Find f(3)

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
5 0

F(3) occurs when x =3. So lets plug 3 into our equation.

f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28

F(3) = -28

I hope this helps! :)

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PLEASE HELP WILL GIVE BRAINLIEST!!!!!1
Murrr4er [49]

Hey there!

<em>C = 0.25x + 40</em>

(a) For this part we solve for C when x = 240. Substitute 240 in for x.

C = 0.25(240) + 40

Multiply 240 by 0.25.

C = 60 + 40

Add.

C = 100

The cost is $100.

<u>Check</u>

100 = 0.25(240) + 40

100 = 60 + 40

100 = 100

(b) For this part we solve for x when C = 180. Substitute 180 for C.

180 = 0.25x + 40

Subtract 40 from each side.

140 = 0.25x

Divide each side by 0.25.

560 = x

This person drove 560 miles.

<u>Check</u>

180 = 0.25(560) + 40

180 = 140 + 40

180 = 180

(c) For this we must make an inequality with C = 150.

Since they want the cost to be <em>no more than</em> 150, we will use the ≥ symbol.

C ≥ 0.25x + 40

Substitute 150 for C. Solve for x.

150 ≥ 0.25x + 40

Subtract 40 from each side.

110 ≥ 0.25x

Divide each side by 0.25.

440 ≥ x

The max number of miles they can drive is 440.

<u>Check</u>

150 ≥ 0.25(440) + 40

150 ≥ 110 + 40

150 ≥ 150

Hope this helps!

4 0
3 years ago
You are preparing for a trip to Canada. At the time of your trip, each U.S. Dollar is worth 1.293 Canadian dollars and each Cana
madreJ [45]

Answer:

193.95 Canadian dollars

Step-by-step explanation:

Given: Each U.S. Dollar is worth 1.293 Canadian dollars and each Canadian dollar is worth 0.773 U.S. Dollar.

To find: Value of 150 U.S. dollars in terms of Canadian dollars

Value of 1 U.S. dollar = 1.293 Canadian dollars

To find 150 U.S. dollars in terms of Canadian dollars, multiply 150 by 1.293

Value of 150 U.S. dollars in terms of Canadian dollars = 150 × 1.293 = 193.95 Canadian dollars

4 0
3 years ago
The sales tax in your state is 5% if a car costs $24,600 what is the total cost including tax?
Svetach [21]
<h2>Greetings!</h2>

Answer:

$25830

Step-by-step explanation:

If 100% of the car price is 24,600 , then you can imagine that extra 5% being added to this

100 + 5 = 105

So you need to find what 105% of the cost was.

To do this you can use the percentage formula:

Amount x \frac{percentage}{100}

Now, you can simply plug the values into this

24,600 x \frac{105}{100}

24600 x 1.05 = 25830

<h3>So the total cost including tax would be $25830!</h3><h3 /><h2>Hope this helps!</h2>
7 0
3 years ago
Simplify 3 / 8 (–2 / 7 +(–3 / 8 ×2 / 5)​
artcher [175]

Answer:

so the answer is 0.16339

5 0
2 years ago
What is the surface area of a rectangular prism that has these dimensions? 2 cm x 3 cm x 5 cm?
algol [13]
30 centimeters cubed is the answer
8 0
3 years ago
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