a proportional relationship is a liner relationship because the rate of change is constant (and equal to the constant of proportionality ).what is required of a proportional relationship that is not required of a general line relationship?

Answers

Answer 1
Answer:
If you graph a proportional relationship, the graph must
go through the origin.  Because if the relationship is
really proportional, then when one of the quantities
is zero, the other one is also zero.



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Justin works as a car salesman. Last week he had a total of 42,000 dollars in sales. if his Commission is 2 percent how much did Justin earn and last week?

Answers

2 percent of 42,000 dollars = $840 (ans)

Answer:

2% of $42,000 = $840

Step-by-step explanation:

Solve, using the substitution method 2x+4y=16 x-7=-4y

A. (0,-7)
B. (0,7/4)
C. (9,-1/2)
D. (17,-5/2)

PLEASE HELP ASAP !!

Answers

2x+4y=16
x-7=-4y

4y=16-2x
4y=16-2(-4y+7)
4y=16+8y-14
-4y=2
-4y/-4=2/-4
y=-0,5

2x=16-4(-0,5)
2x=16+2
2x/2=18/2
x=9

C

Write down the next term of the sequence 2 5 11 20 32...Write down the 5th term in the sequence given by: T(n)= n²- 7

Solve 3 x ≤ 6

If the relative frequency of a train being on time is 0.4 how often could you expect the train to be on time over 20 days?

Answers

2,5,1,20,32,47

T(5)=5^2-7=18

3x\leq6\nx\leq2

0.4\cdot20=8

Find y for x=0,1,2, and 3.

y=4-x

Answers

4 - (0) = y
4 - 0 = 4      y = 4

4 - (1) = y
4 - 1 = 3     y = 3

4 - (2) = y
4 - 2 = 2     y = 2

4 - (3) = y
4 - 3 = 1     y = 1

In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3

the length of the corresponding side of triangle ABC. What is the value of sinF?

Answers

Answer:

Step-by-step explanation:

From.the Pythagoras theorem,

DF² = DE² + EF²; therefore, DE²= DF²-EF².since each of the side of DEF is 1/3 of sides ABC , it implies that ,1/3 of 20 = 6.7 ( DF)and 1/3 of 16 = 5.3 (EF)

DE² = 6.7²-5.3²;

DE² = 44.89 - 28.09

DE² =16.8

Therefore taking the square root is both side to get the true value of DE

√DE² = √16.8; DE = 4.098.

there the value of sin of angle F

SinF°= 4.098/6.7; = 0.6116

Therefore F° = sin-¹0.6116; 37.7°.

SinF = 0.6116, while angle F = 37.7°

Note: the purpose of using the Pythagoras theorem is to help you find the third side of triangle DEF which is DE

Write down all the even numbers from 30 to 300. How many times will the digit "6" appear?

Answers

The correct statement will be that the there are 135 even numbers ranging from 30 to 300 inclusive of the numbers. The digit "6" will be repeated for a number of 63 times.

The calculation of repeated digit "6" can be done by applying simple calculations or even can be calculated on the fingers.

  • Even numbers are referred to as those numbers whose last digit ends with either 0,2,4,6 or 8. There are a total of 270 digits between and half of them will be even. So even digits are 135 inclusive of both the numbers.

  • The calculation where 6 is repeated is done by applying the information that there will be 17 times 6 appears between values 30 to 99.

  • Between 100 to 200 and 201 to 300, "6" is repeated 23 times in each of the ranges.

  • Calculation of "6" is as below,

  • \rm Times\ 6\ is\ repea ted= 23+23+17\n\n\n\rm Times\ 6\ is\ repea ted=63

  • So we now know that there are 135 digits that are even and 63 times the digit 6 is repeated in the range 30 thru 300.

Hence, the correct statement is that there are 135 even digits between the range of 30 to 300 and digit 6 is repeated for a number of 63 times.

To know more about numerical ranges, click the link below.

brainly.com/question/1374758

Step-by-step explanation:

In the Numbers from 30 to 99 the 6 will be written 1*4 + 6*1 + 1*1*2 = 12

In the Numbers from 100 to 300 the 6 will be written 0 + 3*1*4 + 3*9*1 + 3*1*1*2 = 45

So the six will be written 12 + 45 = 57 times

Is this right? Do you have the same result?