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KatRina [158]
3 years ago
8

Please help me with these 3 questions​!!Thanks!!***BRAINLIEST**

Mathematics
1 answer:
dimaraw [331]3 years ago
5 0

Answer:

Step-by-step explanation:

Left Frame

f(x) is a horizontal line from x = 1 to x = 3. So the y values are the same in that interval.

when y = 1, x = 3

so f(3) = 1

The answer is III

Question Second from the right

The trick is to get the denominator so it is not a complex number. You do that by multiplying by the conjugate which is 8 - 2i. If you do that to the denominator, you must do it to the numerator.

Denominator: (8 + 2i)(8 - 2i) = 64 - 16i + 16i - 4i^2

Denominator: 64 + 4

Denominator: 68

Numerator: (3 - 5i)(8 - 2i)

Numerator: 24 - 6i - 40i + 10*i^2

Numerator: 24 - 46i - 10

Numerator: 14 - 46i

So in some form or other the answer is

\dfrac{14 - 46i}{68} = \dfrac{7}{34} - \dfrac{23i}{34}

Right Frame

Here, the slopes must be the same. So calculate the slope of the left line and make that equal to the slope of the right line's expression

<u>Left Line</u>

Left = (y2 - y1)/( x2 - x1) = (2 - 0)/(0 - - 5) = 2/5

<u>Right line</u>

Right  = (y2 - y1) / (x2 - x1) = (0 - - 4) / (p - 0) = 4/p

Now Equate them (they are parallel and have the same slope)

2/5 = 4/p           Cross multiply

2p = 5*4            Combine the right

2p = 20              Divide by 2

2p/2 = 20/2       Do the division

p = 10

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( – 1, – 5) 7x+2y=13, 4x+4y=14
serious [3.7K]

Answer:

{x,y} = {6/5,23/10}

Step-by-step explanation:

 [1]    7x + 2y = 13

  [2]    4x + 4y = 14  <---------- linear equations given

Graphic Representation of the Equations : PICTURE
2y + 7x = 13        4y + 4x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  y

[2]    4y = -4x + 14

[2]    y = -x + 7/2

// Plug this in for variable  y  in equation [1]

  [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

  [1]    5x = 6

  [1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

   y = -(6/5)+7/2 = 23/10

// Plug this in for variable  y  in equation [1]

 [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

 [1]    5x = 6

[1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

  y = -(6/5)+7/2 = 23/10

4 0
2 years ago
Which graph shows the solution to the system of linear inequalities?<br> y&lt; 2x-5<br> y&gt;-3x + 1
trapecia [35]

Answer:

See explanation

Step-by-step explanation:

Plot the solution sets to both inequalities.

1. For the inequality y First, plot the dotted line y=2x+5 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

2\cdot 0-5=-5

so the origin does not belong to the needed part. Shade the part, which does not include origin.

2. For the inequality y>-3x+1. First, plot the dotted line y=-3x+1 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

-3\cdot 0+1=1>0

so the origin does not belong to the needed part. Shade the part, which does not include origin.

3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.

5 0
3 years ago
65% of what number is 39?
aleksklad [387]
You have to turn 65 into a decimal. That would be .65
They do 39/.65
You should get 60 as your final answer.
6 0
3 years ago
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What is 7.5% written as a fraction in simplest form
weqwewe [10]
3\4 ! you simply convert 7.5% into a fraction. (move the decimal point to the right two times. This should give you 75. Remember to put 75 over 100.
EX: 75/100
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25 goes into 75 3 times. So that is your numerator or the number on top.
25 goes into 100 4 times. This will be your denominator or the number on the bottom.
Your answer should be 3/4! Make sure to show your work! good luck!
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