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Anna71 [15]
2 years ago
10

If f(x) = 2x-12, evaluate -2f(3) PLEASE HELP!!!!!!

Mathematics
2 answers:
mel-nik [20]2 years ago
6 0
I think that’s it f(x)=2x−12
Sladkaya [172]2 years ago
3 0

Step-by-step explanation:

2x-12

we substitute because already know the value of x

-2(3)-12

-6-12

-18

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A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar
Sonbull [250]

Before we begin please note that a jar is always cylindrical in shape if not mentioned otherwise. Thus, we will take a cylindrical jar in this case.

Since Kelly eats some of the salsa and the salsa in the jar is now 6 cm high, we know that Kelly ate the amount of Salsa whose volume is missing from the jar.

To find the missing volume on the Salsa jar all that we need to do is to find the height of the missing volume which is given to us as h= 6 cm. We already know that the radius of the jar, r=6 cm. Thus, the amount of Salsa Kelly has eaten is:

V=\pi(6)^2\times 6\approx678.6\approx679 cm^3

Thus, the third option is the correct answer

8 0
3 years ago
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What is the slope of a line that is parallel to the line represented by the equation : y = 5x - 3?
Lerok [7]

Answer:

5

Step-by-step explanation:

This line equation is in  y = mx + b form    m will be the slope

 m = 5     parallel line will have same slope  = 5  

5 0
2 years ago
3 oz of a sports drink contains 22 mg of sodium how much sodium would a 33 Oz serving have
dimaraw [331]
242mg


Explanation:

You would create a ratio for this situation


3oz/22mg=33oz/x


So we know 3*11=33 so we would do 22*11 and get 242 mg
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2 years ago
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Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 4?
Ray Of Light [21]

Answer:

x2=−8(y−2)

Step-by-step explanation:

Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.

Let P(x,y) be the moving point on the parabola with  

focus at S(h,k)= S(0,0)  

& directrix at y= 4

Now,  

|PS| = √(x-h)2 + (y-k)2

|PS| = √(x-0)2 + (y-0)2

|PS| = √ x2 + y2

Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0

  •   d= |ax +by + c|/ √a2 + b2
  •   d= |y-4|/ √0 + 1
  •   d= |y-4| units.

equation of parabola is:  

  • |PS| = d
  • √ x2 + y2 = |y-4|

Squaring on both sides, we get:  

  • x2 + y2 = (y-4)2
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This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.

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