All categories

2 years ago

Evaluate the function: f(x)=x2−4x, find f(−3)

Mathematics

1 answer:

VikaD [51]2 years ago

3 0

Answer:

f(-3) = 21

Step-by-step explanation:

To solve this, you can replace all x's with -3 and then solve to find the answer.

f(x) = x^2 - 4x

f(-3) = -3^2 - 4(-3)

f(-3) = 9 - (-12)

f(-3) = 21

I hope this helps!

You might be interested in

3 regions are defined in the figure find the volume generated by rotating the given region about the specific line

anastassius [24]

The volume generated by rotating the given region $R_{3}$ about OC is $\frac{4}{g} \pi$

<h3>Washer method</h3>

Because the given region ( $R_{3}$ ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

$y=2(x)^{\frac{1}{4} }$

$x=(\frac{y}{2} )^{4}$

$y=2x$

$x=\frac{y}{2}$

$\int\limits^a_b {\pi } \, (R_{o^{2} } - R_{i^{2} } ) dy$

$R_{o} = x = \frac{y}{2}$

$R_{i} = x= (\frac{y}{2}) ^{4}$

$a=0, b=2$

$v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} ) dy$

$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0

1 year ago

Caroline baked 3 dozen oatmeal raisin cookies for the bake sale at school this is 1/4 the number of dozens of cookies she baked

anyanavicka [17]

144 is how much cookies she baked

7 0

3 years ago

Question 13

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

4 0

3 years ago

The tables represent two linear functions in a system.

tino4ka555 [31]

first function 2nd function

slope =(y2-y1)/(x2-x1) slope =(y2-y1)/(x2-x1)

=(14-2)/(3-0) m = (-3--12/(3-0)

12/3 m=(-3+12)/3

4 m =9/3 =3

y = 4x+2 y = 3x+-12

set these two equations equal

4x+2 = 3x-12

subtract 3x

x+2 = -12

subtract 2 from each side

x = -14

y = 3x-12

y =3*(-14)-12

y = -42-12

y = -54

ChoiceD

3 0

3 years ago

Read 2 more answers

if a truck travel 248 miles in 4 hours then the truck traveled an average of how many miles each hour write an equation to solve

koban [17]

https://www.slader.com/discussion/question/if-a-truck-traveled-248-miles-in-4-hours-then-the-truck-9c45464f/

6 0

3 years ago