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kogti [31]
3 years ago
8

Which of the following equations shows how substitution can be used to solve the following system of equations?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0

Answer:

(3, 5)

Step-by-step explanation:

y = 2x - 1

3x + 2y = 19

In the second equation, substitute 2x - 1 in for y, since y equals 2x - 1 in the first equation. Solve for x.

3x + 2(2x - 1) = 19

3x + 4x - 2 = 19

7x - 2 = 19

7x - 2 + 2 = 19 + 2

7x = 21

7x/7 = 21/7

x = 3

Pick the first equation to solve for y since it says y =. Substitute 3 in for x.

y = 2x - 1

y = 2(3) - 1

y = 6 - 1

y = 5

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If f(x) = 2x - 9, which of the following are correct? Select all that apply. f(-1) = -11 f(2) = 5 f(3) = -3 f(0) = -9 f(-3) = 15
Yuri [45]

f(-1) = -11 and f(3) = -3 . these functions are true .

What does a math function mean?

  • A relationship between a group of inputs and one output each is referred to as a function.
  •  A function is an association between inputs in which each input is connected to precisely one output.
  • A domain, codomain, or range exists for every function. f(x), where x is the input, is a common way to refer to a function.
  • In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable).

given function  f(x) = 2x - 9

   f(-1) = -11 ⇒ x = -1 put in function

                       f( -1 ) = 2 * -1 - 9  ⇒ - 11

    f(2) = 5   ⇒ x = 2 put in function

                    f( 2 ) = 2 * 5 - 9 = 1

    f(3) = -3  ⇒  x = 3 put in function

                     f ( 3 ) = 2 * 3 - 9 = -3

       f(-3) = 15   ⇒  x =  -3 put in function

                     f( -3) = 2 * -3 - 9 = - 15

Learn more about function

brainly.com/question/21145944

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3 0
1 year ago
A shop owner bought 30 files and some diaries .he paid $82.50 for the files.each diary cost 10 times as much as a file.what was
Novay_Z [31]
<h3>✽ - - - - - - - - - - - - - - -  ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Divide total cost by the number of files:

82.50/30 = 2.75

Multiply by 10:

2.75 x 10 = 25.5

The cost was $27.50

➶ Hope This Helps You!

➶ Good Luck (:

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7 0
3 years ago
16 is 4% of what number?
IrinaK [193]
16 is 4% of 400 

Change the percentage into a decimal by dividing the decimal over 100:
\frac{4}{100} = 0.04

Divide 16 by the decimal (0.04):
16 \div 0.04 = 400
3 0
3 years ago
A line has a rise of 6 and a slope of 1/20. What is the run?<br> 30<br> 90<br> 120
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Answer: It is  120 im pretty sure it is

Step-by-step explanation:

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7 0
3 years ago
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Evaluate the following expression when x = 6 and y = 2:
Liula [17]

Answer:

11/2

Step-by-step explanation:

\frac{ {x}^{2} +  {y}^{3}  }{2 + x}  \\

when,

x = 6 \\ y = 2

Now substitute the value we get,

\frac{ {6}^{2}  +  {2}^{3} }{2 + 6} \\  \\  =  \frac{36 + 8}{8}   \\  \\  =  \frac{44}{8} \\  \\  =  \frac{11}{2}

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