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3 years ago

5

In geometry, what are reciprocals?

2 answers:

TiliK225 [7]3 years ago

5 0

Reciprocals are simply fractions that are turned upside down. For example, what do you think is the reciprocal of 2/3? Right, it's 3/2. It can also be 1 1/2 because 3/2 is an improper fraction. :)

Amiraneli [1.4K]3 years ago

3 0

<span>The reciprocal is shown as 1/x, or x-1. When we multiply a number by its reciprocalwe get 1. Example: 3 times 1/3 equals 1. Also called the "Multiplicative Inverse" See: Multiplicative Inverse.</span>

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mihalych1998 [28]

Answer:

Step-by-step explanation:

16.) 2/3

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17.) No because if you add all the fractions together, you only get 7/8. This means the project is not complete yet.

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3 years ago

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3 years ago

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andrew-mc [135]

Answer:

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Step-by-step explanation:

A(1, 4)

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3 years ago

Suppose a population is growing by 8% each year. How many years will it take the population to double?

Doss [256]

ANSWER

$\text{9 years}$

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

$y=a(1+r)^t$

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

$y=2a$

Substitute the given values into the function above:

$\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}$

To solve further, convert the function from an exponential function to a logarithmic function as follows:

$\log _{1.08}2=t$

Solve for t:

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It will take 9 years for the population to double.

4 0

1 year ago

Which Graph correctly solves the equation below? -1/2x^2 +2 = 2x^2 -8

lubasha [3.4K]

Answer:

see attachment

Step-by-step explanation:

The given equation is

$- \frac{1}{2} {x}^{2} + 2 = 2 {x}^{2} - 8$

The graph of the left hand side of this equation is

$y = - \frac{1}{2}{x}^{2} + 2$

This quadratic graph has its vertex at (0,2) and turns upside down.

The right hand side of the equation is

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This quadratic graph opens upwards and has its vertex at (0,-8).

The two graphs intersects at two points , which are (-2,0) and (2,0).

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3 years ago