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bonufazy [111]
3 years ago
10

What is the y-intercept of a line that has a slope of –3 and passes through point (–5, 4)? –17 , –11 , 7 , 19

Mathematics
2 answers:
Alina [70]3 years ago
7 0

Answer: b= -11

Step-by-step explanation:

Edge 2020

Sindrei [870]3 years ago
3 0

Hey there! :)

Answer:

b = -11.

Step-by-step explanation:

Create an equation in slope-intercept form to solve for the intercept:

y = mx + b

Plug in the slope and point values:

4 = -3(-5) + b

Simplify:

4 = 15 + b

Solve for b:

-11 = b

b represents the y-intercept, therefore:

y-intercept = -11

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use Pythagoras theorem

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Complete the steps in order to write the inverse of f(x) = x + 5 1. = x + 5 2. = y + 5 3. = y 4. = x – 5
Allisa [31]
Hi there!

f(x) = x + 5

1. y = x + 5
Switch places from x and y.

2. x = y + 5
Subtract 5.

3. x - 5 = y
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4. y = x – 5
Now we've found our answer.

~ Hope this helps you!
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3 years ago
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You measure the width of a doorway and find that it is 1.20 m wide. Find the greatest possible error of your measurement
elena-s [515]
Given that the distance between two lines in the measurement instrument is 0.01m, the maximum error should be 0.01m/2 = 0.005 m.

If you do a good work, the real measure is 1.20m +/- 0.005m, this is between 1.195 and 1.205.
8 0
2 years ago
Which function is quadratic?
AveGali [126]

Answer:

g(x) is a quadratic function ⇒ 2

Step-by-step explanation:

  • The quadratic function is the function that has 2 as the greatest power of the variable
  • The form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant

Let us use the information above to solve the question

∵ f(x) = 1.5^{x}

∵ x is the exponent of the base 1.5

→ That means f(x) is not in the form of the quadratic function

∴ f(x) is not in the form of the quadratic function above

∴ f(x) does not represent a quadratic function

∴ f(x) is not a quadratic function

∵ g(x) = 500x² + 345x

∴ The greatest power of x is 2

→ That means g(x) is in the form of the quadratic function above

∵ g(x) is in the form of the quadratic function above, where a = 500,

   b = 345, and c = 0 (constant values)

∴ g(x) represents a quadratic function

∴ g(x) is a quadratic function

3 0
3 years ago
9x−9y=0 3x−4y=10 solve by elimination
NikAS [45]

Answer:

(-10,-10)

Step-by-step explanation:

9x-9y=0

3x-4y=10

In elimination, we want both equations to have the same form and like terms to be lined up.  We have that.  We also need one of the columns with variables to contain opposites or same terms. Neither one of our columns with the variables contain this.  

We can do a multiplication to the second equation so that the first terms of each are either opposites or sames. It doesn't matter which.  I like opposites because you just add the equations together. So I'm going to multiply the second equation by -3.

I will rewrite the system with that manipulation:

9x-9y=0

-9x+12y=-30

----------------------Add them up!

0+3y=-30

     3y=-30

       y=-10

So now once you find a variable, plug into either equation to find the other one.

I'm going to use 9x-9y=0 where y=-10.

So we are going to solve for x now.

9x-9y=0 where y=-10.

9x-9(-10)=0  where I plugged in -10 for y.

9x+90=0  where I simplified -9(-10) as +90.

9x     =-90 where I subtracted 90 on both sides.

x=       -10 where I divided both sides by 9.

The solution is (x,y)=(-10,-10)

3 0
2 years ago
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