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lorasvet [3.4K]
3 years ago
11

Find the value of p so that the linear function f(x) with f(p) = 3 and f(-2) = 0 has a slope of 3.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0
When it has a slope of 3 it means y=3x+k
Given the condition that f(-2)=0
So,replace the y with 0 and x with -2
0=3*-2+k
0=-6+k
k=6
So the line is y=3x+6
when f(p)=3,
3x+6=3
3x=-3
X=-1
So,
p=-1
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Step-by-step explanation:

Vol (cyl) = πr²h = 54

Vol (cone) =  πr²h/3

54/3 = 16

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3 years ago
What is <br><br> 3x+2y=-13<br> 3x+4y=1
Zepler [3.9K]

Answer:

The values are

x = -25/9 = -2 7/9

y = 7/3 = 2 1/3

Step-by-step explanation:

3x + 2y = -13 --------eqn 1

3x + 4y = 1-------------eqn2

Using eqn 2 to get the value of y

3x + 4y = 1

4y = 1 - 3x

Dividing both sides by 4,to get y

4y/4 =( 1 -3x) / 4

y = (1 - 3x) / 4

Since we've gotten the value for y, substitute the value into eqn 1

3x + 2y = -13

3x + 2(3x - 1)/4 = -13

Opening the bracket

3x + (6x - 2)/4 = -13

LCM = 4

(12x + 6x - 2) / 4 = -13

18x - 2 / 4 = -13

Then we cross multiply

18x - 2 = -13 * 4

18x - 2 = - 52

18x = -52 + 2

18x = -50

Divide both sides by 18, to get the value of x

18x/18 = -50/18

x = -25/9

or x = -2 7/9

The value of x is now known, so let's go back to eqn 2

Substitute x = - 25/9

3x + 4y = 1

3(-25/9) + 4y = 1

Open the bracket

-75/9 + 4y = 1

Make y the subject of the formula

4y = 1 + 75/9

LCM = 9

4y = (9 + 75)/ 9

4y = 84/9

To get y, divide both sides by 4

4y/4 = 84/9 / 4/1

y =

Note : when division changes to multiplication, it always be in its reciprocal form

y = 84/9 / 1/4

y = 84 * 1 / 9 *4

y = 84/ 36

y = 7/3

Or

y = 2 1/3

4 0
3 years ago
7. Expand and reduce A(x). Then calculate A(x) for x=1.<br> A (x) = (3x – 3)(3x + 2)
SashulF [63]

Given:

The function is

A(x)=(3x-3)(3x+2)

To find:

The simplified form of A(x) and value of A(x) at x=1.

Solution:

We have,

A(x)=(3x-3)(3x+2)

A(x)=(3x)(3x)+(3x)(2)+(-3)(3x)+(-3)(2)

A(x)=9x^2+6x-9x-6

A(x)=9x^2-3x-6

Putting x=1, we get

A(1)=9(1)^2-3(1)-6

A(1)=9-3-6

A(1)=9-9

A(1)=0

Therefore, the simplified form of A(x) is A(x)=9x^2-3x-6 and the value of A(x) at x=1 in 0.

4 0
3 years ago
What is f(g(13))?<br> 16<br> 26<br> 32<br> Undefined
igor_vitrenko [27]

Answer:

32

Step-by-step explanation:

Hope this helps

Mark my answer as brainliest answerer please?

5 0
4 years ago
Read 2 more answers
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