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2 years ago

Hi! i need some help with this question, you don't need to help with the 2 parts, just any 1. Thank you!!

Mathematics

1 answer:

vladimir1956 [14]2 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

y = k * (3x - 5)

Where,

k = constant of proportionality

y = 33 when x = 5

y = k * (3x - 5)

33 = k * (3 * 5 - 5)

33 = k * (15 - 5)

33 = 15k - 5k

33 = 10k

k = 33/10

k = 3.3

a) y when x = 2

y = k * (3x - 5)

y = 3.3(3 * 2 - 5)

= 3.3(6 - 5)

= 3.3(1)

y = 3.3

b) x when y = 15

y = k * (3x - 5)

15 = 3.3(3x - 5)

15 = 9.9x - 16.5

15 + 16.5 = 9.9x

31.5 = 9.9x

x = 31.5/9.9

x = 3.18

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Christine, Dale, and Michael sent a total of 71 messages during the weekend. Dale sent 9 fewer messages than Christine. Michael

Alisiya [41]

Answer:

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Step-by-step explanation:

Christine, Dale, and Michael sent a total of 71 messages

C + D + M = 71

Dale sent 9 fewer messages than Christine

D = C - 9

Michael sent 2 times as many messages as Christine

M = 2C

Plug-in the numbers.

C + C - 9 + 2C = 71

4C - 9 = 71

4C = 80

C = 20

Now, plug in to other equations for other results.

D = (20) - 9

D = 11

M = 2(20)

M = 40

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Verify?

40 + 20 + 11 = 71.

5 0

3 years ago

Use the scenario to answer the question. Tyrone was asked to write the recursive and explicit formula for the sequence {−4,−7,−1

Anton [14]

The last option: In his recursive formula, he should have the term an−1 instead of −4 to get an=an−1−3.

7 0

3 years ago

What is the area of a parallelogram that has a height of 2 1/2 inches and a base of 7 inches

crimeas [40]

Answer:

17 1/2 in²

Step-by-step explanation:

a=l×w

or in this case a=h×b

2 1/2×7= 17 1/2 in²

5 0

2 years ago

8u/u^2-18u+81 subtract 72/u^2-18u+81

Karo-lina-s [1.5K]

Your question is:
$\frac{8u}{u^2-18u+81} -\frac{72}{u^2-18u+81}$
Then, the above formula equate:

$\frac{8u-72}{u^2-18u+81}$
Factor out 8 from the numerator we get:
$\frac{u-9}{u^2-18u+81}$
Factorization of the denominator:
$\frac{u-9}{(u-9)^2}$
Simplifying the numerator and the denominator by (u-9) we get:
$\frac{1}{(u-9)}$

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3 years ago

A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fen

baherus [9]

Answer:

Area = 2500 square feet is the largest area enclosed

Step-by-step explanation:

A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fencing

Let x be the length of each box and y be the width of the box

Perimeter of the box= 3(length ) + 4(width)

$200=3x+4y$