1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zinaida [17]
3 years ago
5

If f(x)=4x^2-6 find f(3)

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

Answer:

<h2>f(3) = 30</h2>

Step-by-step explanation:

f(x) = 4x² - 6

To find f(3) substitute the value of x that's 3 into f (x) that is for every x in f (x) replace it with 3

We have

f(3) = 4(3)² - 6

= 4(9) - 6

= 36 - 6

We have the final answer as

<h3>f(3) = 30</h3>

Hope this helps you

You might be interested in
find the centre and radius of the following Cycles 9 x square + 9 y square +27 x + 12 y + 19 equals 0​
Citrus2011 [14]

Answer:

Radius: r =\frac{\sqrt {21}}{6}

Center = (-\frac{3}{2}, -\frac{2}{3})

Step-by-step explanation:

Given

9x^2 + 9y^2 + 27x + 12y + 19 = 0

Solving (a): The radius of the circle

First, we express the equation as:

(x - h)^2 + (y - k)^2 = r^2

Where

r = radius

(h,k) =center

So, we have:

9x^2 + 9y^2 + 27x + 12y + 19 = 0

Divide through by 9

x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0

Rewrite as:

x^2  + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}

Group the expression into 2

[x^2  + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}

[x^2  + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}

Next, we complete the square on each group.

For [x^2  + 3x]

1: Divide the coefficient\ of\ x\ by\ 2

2: Take the square\ of\ the\ division

3: Add this square\ to\ both\ sides\ of\ the\ equation.

So, we have:

[x^2  + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}

[x^2  + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2

Factorize

[x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2

Apply the same to y

[x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2

[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2

[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}

Add the fractions

[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}

[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}

[x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}

[x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}

Recall that:

(x - h)^2 + (y - k)^2 = r^2

By comparison:

r^2 =\frac{7}{12}

Take square roots of both sides

r =\sqrt{\frac{7}{12}}

Split

r =\frac{\sqrt 7}{\sqrt 12}

Rationalize

r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}

r =\frac{\sqrt {84}}{12}

r =\frac{\sqrt {4*21}}{12}

r =\frac{2\sqrt {21}}{12}

r =\frac{\sqrt {21}}{6}

Solving (b): The center

Recall that:

(x - h)^2 + (y - k)^2 = r^2

Where

r = radius

(h,k) =center

From:

[x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}

-h = \frac{3}{2} and -k = \frac{2}{3}

Solve for h and k

h = -\frac{3}{2} and k = -\frac{2}{3}

Hence, the center is:

Center = (-\frac{3}{2}, -\frac{2}{3})

6 0
3 years ago
Evaluate the function at x=-1​
Oksana_A [137]

Answer:

y=0 when x=-1

Step-by-step explanation:

We look at the chart to see that there is a value for y when x equals negative 1.

According to the chart, y equals 0 when x=-1.

Therefore, the answer is 0.

4 0
3 years ago
Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot,
Firlakuza [10]
The problem says that <span>Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:
</span>
 Tan(α)=Opposite leg/Adjacent leg

 α=30°
 Opposite leg=x
 Adjacent leg=200 feet

 When you substitute these values into the formula above (Tan(α)=Opposite leg/Adjacent leg), you have:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(30°)=x/200
 
 You must clear "x":

 x=200xTan(30°)

 Therefore, the value of "x" is:

 x=115 feet
<span>
 How high above the ground the is the helicopter?

 The answer is: 115 feet</span>
4 0
3 years ago
Please help! 50 points
Alja [10]

Answer:

<em>See attached</em>

<u>x- intercepts</u>

  • (-2, 0), (-1, 0), (1, 0)

<u>y- intercept</u>

  • (0, -2)

4 0
3 years ago
Here are descriptions for how two dot patterns are growing,
Arisa [49]

The steps in the patterns A and B form a sequence

The attached diagram represents dots in patterns A and B

<h3>How to draw the diagrams</h3>

For pattern A, we have:

Step 2 = 10 dots

Increment of 3 dots in each step

This means that:

Step 0 = 4 dots

Step 1 = 7 dots

Step 2 = 10 dots

Step 3 = 13 dots

For pattern A, we have the following rule

T_n =2n^2 + 1

When n = 0 to 3, we have:

T_0 =2(0)^2 + 1 =1

Step 0 = 1 dot

T_1 =2(1)^2 + 1 =3

Step 1 = 3 dots

T_2 =2(2)^2 + 1 =9

Step 2 =  9 dots

T_3 =2(3)^2 + 1 =19

Step 3 =  19 dots

Next, we draw the diagrams of both patterns (see attachment)

Read more about patterns at:

brainly.com/question/15590116

6 0
2 years ago
Other questions:
  • Ascending Order<br> 18, 1.8, 18, .018
    12·1 answer
  • Dad is 4 times as old as his son Jim. In 10 years, dads age will be 20 years mare than twice jims age. How old is Jim?
    14·2 answers
  • What would be coordinates of the image(13,570)
    6·1 answer
  • A theatre has 50 seats on the front row. There are 4 additional seats in each following row.
    5·1 answer
  • The average length of a ladybug can range from 0.08 to 0.4 inches. find two lengths that are within the given span. write them a
    12·2 answers
  • I need help with this question
    10·1 answer
  • -3p = -48<br> What does p equal
    11·2 answers
  • Please help!<br><br>if rstu is a rhombus, find m&lt;uts ​
    11·1 answer
  • The regression equation y equals negative 0.414 x plus 106.55 approximates the percent of people in an audience who finish watch
    11·1 answer
  • A professional painter knows that it takes 0.29 ounces of the paint he prefers to cover 1 square foot of wall. If he calculates
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!