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siniylev [52]
2 years ago
15

The variables y and x^2 are directly

Mathematics
1 answer:
choli [55]2 years ago
6 0

Answer:

y = \frac{20}{21} x²

Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = \frac{20}{21}

y = \frac{20}{21} x² ← equation of proportion

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Four friends go to the movies and pay $11 per ticket. They also each buy a snack
Setler79 [48]

Answer:

Each snack combo costed $8

Step-by-step explanation:

4 friends* 11 per ticket = $44 for four tickets

76 - 44 = $32 spent on all the snack combos

$32 ÷ 4 friends = $8 spent on each snack combo

So, each snack combo costed $8

Hope this helps!

6 0
2 years ago
Read 2 more answers
Which answers show a correct plan to solve this problem?
uranmaximum [27]
A. & B. Is the correct answer.

3 0
2 years ago
Determine where to place the decimal point in the dividend and divisor so that the quotient is between 23 and 25
timama [110]

Answer:

Place the decimal before the last digit in both number i.e. 1602.3 and 65.4

Step-by-step explanation:

We are given the numerical expression 16023÷654.

Here, we have,

Dividend = 16023

Divisor = 654

it is required that the quotient of the division to be between 23 and 25.

If we take the numbers,

1602.3 and 65.4

This gives us,

\frac{1602.3}{65.4}=24.5.

Hence, placing the decimal before the last digit in both number will give the desired result.

7 0
3 years ago
what is the growth factor of y=34×4^x, the initial amount of y=15×3^x and the decay factor of y=17×0.2^x
11Alexandr11 [23.1K]
So the growth factor is the base of the exponential term, so the base of y = 34 * 4^x is 4.
the initial amount is the amount at x = 0
y = 15 * 3^xy = 15 * 3^0y = 15 * 1y = 15 is the initial amount
the decay factor of y=17×0.2^x is same as the growth factor, it is 0.2
5 0
3 years ago
How do I solve this? I will mark answer brainiest pls respond asap!
Illusion [34]

The line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

First, we need to find the line of best fit:

Let's suppose the line of the best fit is:

y = mx + c

We can find the value of m:

\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}   and

\rm c = \dfrac{\sum y -m \sum x}{n}

After calculating, we will get:

m = 4.71

d = -30.31

y = 4.71x—30.31

Plug x = 9.5

y = 14.43 ≈ 14.5 oz

Thus, the line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

6 0
2 years ago
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