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deff fn [24]
3 years ago
8

The table shows a linear function. x -5,-4,-3,-2,-1, 0, 1, 2, 3. on top row f(x) -11, -3, 5, 13, 21, 29, 37, 45, 53. on bottom r

ow. (a) Determine the difference of outputs of any two inputs that are 1 unit apart. Show your work. (b) Determine the difference of outputs of any two inputs that are 2 units apart. Show your work. (c) Determine the difference of outputs of any two inputs that are 3 units apart. Show your work. (d) What do you notice about the ratios of the differences in the outputs to the input intervals? Explain your answer. Answer:
Mathematics
2 answers:
algol [13]3 years ago
8 0

Answers:

a) The outputs -11 and -3 one unit apart. Their difference is -8. To find this I simply did -11 - -3 = -8.

b) The outputs 5 and 21 are 2 units apart. Their difference is 16. To find this I did 21 – 5 = 16.

c) The outputs 29 and 53 are 3 units apart. Their difference is 24. To find this I again subtracted, 53 – 29 = 24.

__________________________

These are the answers I'm submitting personally. I didn't put (d) tho because I wasn't sure about that one and didn't want to lead you guys wrong. I do hope this helps! Enjoy ur day! :)



NARA [144]3 years ago
7 0
Wouldn’t the inputs be 4 and 5? I could wrong though
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What is the force of a baseball that has a mass of 142 kg and has an acceleration of 30 m/s2?
salantis [7]

Answer:

The answer is

<h2>4260 N</h2>

Step-by-step explanation:

The force acting on an object when given the mass and acceleration can be found by using the formula

<h3>Force = mass × acceleration</h3>

From the question

mass = 142 kg

acceleration = 30 m/s²

So we have

Force = 142 × 30

We have the final answer as

<h3>4260 N</h3>

Hope this helps you

6 0
3 years ago
Gage's math teacher entered the seventh-grade student in a math competition. There was an enrollment fee of $30 and also $11 cha
Amanda [17]

Answer:

110 test

Step-by-step explanation:

Let

x ----> the number  of packet of 10 test

y ----> the total cost

we know that

The number of packet of 10 test purchase multiplied by $11 plus the enrollment fee of $30 must be equal to $151

so

The linear equation that represent this scenario is

y=11x+30

we have

y=\$151

substitute

151=11x+30

Solve for x

subtract 30 both sides

11x=151-30

11x=121

Divide by 11 both sides

x=11

The number of packets purchase was 11

To find out the number of test, multiply the number of packets by 10

11(10)=110\ test

4 0
3 years ago
Simplify this algbraic expression completely 5y-3(y+2)
Sophie [7]

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

3 0
3 years ago
Benito’s family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of
zmey [24]

Total monthly saving = $1,315

<h3>What are savings?</h3>

Saving is the portion of income not spent on current expenditures. In other words, it is the money set aside for future use and not spent immediately.

Given:

                        Oakland     Los Angeles  

Cost Housing       $565        $1200

Food                     $545        $655

Health Care         $245        $495

Taxes                    $450         $625

Other Necessities $350        $495

Now,

Saving in house

= $1200 - $565

= $635

Saving in food

= $655 - $545

= $110

Saving in health care

= $495 - $245

= $250

Saving in taxes

= $625 - $450

= $175

Saving in necessities

= $495 - $350

= $145

Total saving = $635+$110+$250+$175+$145

                    = $1,315

Hence, the monthly savings should be $1,315.

Learn more about this concept here:

brainly.com/question/13096261

#SPJ1

The complete question is

Benito's family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of living for both cities. Oakland Los Angeles Budget Item Cost Cost Housing $565 $1200 Food $545 $655 Health Care $245 $495 Taxes $450 $625 Other Necessities $350 $495 Monthly Total How much money will they save monthly by the move to Oakland? $1315 $1560 $1665 $1765?

6 0
1 year ago
Verify this trig function. <br> tanysiny = secy-cosy ?
avanturin [10]
LHS\\ \\ =\tan { y } \sin { y } \\ \\ =\frac { \sin { y }  }{ \cos { y }  } \cdot \sin { y }

\\ \\ =\frac { \sin ^{ 2 }{ y }  }{ \cos { y }  } \\ \\ =\frac { 1-\cos ^{ 2 }{ y }  }{ \cos { y }  }

\\ \\ =\frac { 1 }{ \cos { y }  } -\frac { \cos ^{ 2 }{ y }  }{ \cos { y }  } \\ \\ =\sec { y } -\cos { y } \\ \\ =RHS
6 0
3 years ago
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