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2 years ago

This is my last question I need help with.

Mathematics

1 answer:

Viktor [21]2 years ago

3 0

Answer:

Option 1

Step-by-step explanation:

The formula of constant porpotionality is

$y = kx$

$y = \frac{k}{x}$

where k is the constant of porpotionality.

This equation is direct variation so we will use

$y = kx$

The equation is in the form

$y = 1.5x$

1.5 is in k place so the constant of porpotionality is 1.5

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Please help!

Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7$

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

2 10

4 20

6 30

8 40

Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5$

The rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B%204x%20%2B%206" id="TexFormula1" title="2x^{2} + 4x + 6" alt="2x^{2} + 4x +

JulijaS [17]

<h2>Answer:</h2><h2>2(x^2 + 2x + 3) or $2(x^{2} + 2x + 3)$ .</h2><h2>~</h2><h3>To find the answer, simply factor 2 out of 2x^2+4x+6 to get your final answer, </h3><h3>2(x^2 + 2x + 3)</h3><h2>~</h2><h3>Thank you for taking the time to read this!</h3><h3>And I hope you have a good day, Loves!</h3><h3>Also if I'm right can you let me know, please?</h3>

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

(If I did help-)

And don't forget to eat a full meal, and have at least one cup of water today!

3 0

3 years ago

Find the sum of the first 42 terms of the following series, to the nearest

balandron [24]

Answer:

Step-by-step explanation:

Find the sum of the first 42 terms of the following series, to the nearest integer.

2,7,12

Solution

The sum is given by

SUM_n=n/2*(a_1+a_n)

a_n=a_1+(n-1)d

a_1=2, n=42, d=5

The 42nd term is therefore given by

a_42=2+(42-1)5=207

SUM_42=42/2*(2+207)=21*209=4389

The sum of the first 42 terms of the series, therefore, is 4389

5 0

2 years ago

Find the length of the side marked x

ruslelena [56]

it's a right angled triangle so we will use hypotenuse formula to get the value of x

hypotenuse formula = a² + b² = c²

a = side of the triangle

b = base of traingle

c = hypotenuse ( can be written as h too)

and the formula can also be written as.

c² = a² + b²

therefore, x = 12.1

hope this answer helps you dear...take care!

3 0

2 years ago

Chips suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing.

Artyom0805 [142]

(a) P( fifth one is bad) = P( first 4 are OK) * P(5th is bad)

= (0.98)^4 * 0.02 = 0.0184 or 1.84%

(b) this will be (0.98)^10 = 81.70%

4 0

3 years ago