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2 years ago

Lola already has 6 pennies, and she plans to save more. In her first week

Mathematics

1 answer:

raketka [301]2 years ago

6 0

Answer: $P=6(2)^{w-1}$

Step-by-step explanation:

Here, the money saved each week follows geometric progression with a common ratio r= 2 and first term a= 6.

In geometric progression, nth term = $ar^{n-1}$

Substitute r= 2 , a= 6 and n=w, we get

wth term = $6(2)^{w-1}$

The equation can be used to determine the number of pennies, P, Lola will save during week w of saving pennies:

$P=6(2)^{w-1}$

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The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation th

Ahat [919]

The following equation can be used to calculate the width, w, of the rectangle with the specified area: 2w²- w - 91 = 0.

<h3>What is a Rectangle's Area?</h3>

rectangle area = length width

Multiply the length by the width to obtain the area of a rectangle. The formula is as follows: A = L * W where A is the area, L denotes the length, W denotes the width, and * denotes multiplication. where A denotes area, s denotes side length, and implies multiply.

Given,

Rectangle area = 91 in.

2 w = width

The rectangle's length equals 2w - 1.

Using the area formula, the equation for calculating w would be: (2w - 1)(w) = 91.

2w² - w - 91 = 0

As a result, the equation for determining the width, w, of the rectangle with the specified area is: 2w² - w - 91 = 0.

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6 months ago

3<br> 5<br> y = mx + c<br> Find the value of y when m= -2, r = -7 and c= -3.

mario62 [17]

Answer:

<u>This assume the equation is 35y = mx + c, and that r is meant to be x.</u>

Step-by-step explanation:

35y = mx + c

35y = -2(-7) - 3

35y = 14 - 3

35y = 11

y = (11/35)

Please check the formatting of your question.

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1 year ago

If f(x) and its inverse function, F(x), are both plotted on the same coordinate plane, what is their point of intersection?

polet [3.4K]

Answer: d) (3, 3)

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's.

Let's look at the points and find their inverse:

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(0, -2) --> (-2, 0)

(1, -1) --> (-1, 1)

(2, 0) --> (0, 2)

(3, 3) --> (3, 3) f(x) = f⁻¹(x) so this is where they intersect!

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2 years ago

the greatest amount of sap collected from any one tree is _ times as great as the least amount of sap collected from any one tre

storchak [24]

Answer:

Step-by-step explanation:

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1 year ago

What is the constant of variation for the quadratic variation? 0.1y = 3x2

svet-max [94.6K]

Answer:

The constant of variation for the given quadratic equation is, 30

Step-by-step explanation:

One of the form of a quadratic equation is written as:

$y = kx^2$ ....[1]

where k is the coefficient and for this case the constant of variation.

In order to obtain the answer for the given equation, we write the given equation to the form above.

$0.1y=3x^2$ or

$y=(\frac{3}{0.1})x^2$ or

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Comparing this equation with equation [1], to get the value of k;

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2 years ago