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2 years ago

What is the rate of change in the y-values with respect to the x values

Mathematics

1 answer:

Aleks [24]2 years ago

8 0

Answer:

the average rate of change in y with respect to x over the interval is 7. that is, for every single unit by which x changes, y on average changes by 7 units.

Step-by-step explanation:

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if the first and third of three consecutive odd integers are added, the result is 75 less than five times the second integers. f

Anastaziya [24]

Answer:

The third integer is 27

Step-by-step explanation:

Given

Represent the consecutive odd numbers with $T_1, T_2; and\ T_3$

Since they are consecutive odds, then

$T_2 = 2 + T_1$

$T_3 = 2 + T_2$

From the first statement in the question, we have that

$T_1 + T_3 = 5 T_2 - 75$

Required

Find the third integer

Recall that

Substitute $T_2 = 2 + T_1$ in $T_3 = 2 + T_2$

$T_3 = 2 + 2 + T_1$

$T_3 = 4 + T_1$

Substitute $T_3 = 4 + T_1$ and $T_2 = 2 + T_1$ in $T_1 + T_3 = 5 T_2 - 75$

$T_1 + 4 + T_1 = 5(2 + T_1) - 75$

Open Brackets

$T_1 + 4 + T_1 = 10 + 5T_1 - 75$

Collect like terms

$T_1 + T_1 + 4 = 5T_1 - 75 + 10$

$2T_1 + 4 = 5T_1 - 65$

Collect like terms

$2T_1 - 5T_1 = - 65 - 4$

$-3T_1 = - 69$

Divide both sides by -3

$\frac{-3T_1}{-3} = \frac{- 69}{-3}$

$T_1 = 23$

Recall that $T_3 = 4 + T_1$

$T_3 = 4 + 23$

$T_3 = 27$

The third integer is 27

6 0

3 years ago

What’s 8/27 rounded to the nearest thousanded

Leviafan [203]

9514 1404 393

Answer:

0.296

Step-by-step explanation:

8/27 is the repeating decimal 0.296296296...(3-digit repeat)

The ten-thousandths digit is 2, so rounding the number simply truncates it at the thousandths place.

8/27 ≈ 0.296

3 0

2 years ago

Read 2 more answers

Justin earned $50 mowing yards and $19 washing cars. He wants to divide his money into 3 equal accounts.How much will he put in

ivanzaharov [21]

Answer:

$23

Step-by-step explanation:

$50 + 19=69\\69/3=23\\Or -$23 in each account$

8 0

1 year ago

Decrease 119kg by 2/7

slava [35]

Answer:

Step-by-step explanation:

1-2/7 = 3/7

119 x 3/7 = 51

8 0

2 years ago

Type a simplified fraction as an answer. PLEASE ANSWER I AM BEGGING!!!!!!

lana [24]

50/36 just keep dividing the numbers by two

5 0

3 years ago

Read 2 more answers