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klemol [59]
2 years ago
13

USLI5

Mathematics
1 answer:
Reptile [31]2 years ago
4 0
For #3.

Zeros are 3 and -1 (plot them on the x-axis as a point)

Axis of symmetry is halfway between those so it’s: x=1

Vertex is (1, -4)

Y-intercept is (0,-3)

Domain is always all real numbers
Range is y is greater than or equal to -3

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Sophie practices the piano 105 minutes in 1 week. If t represents the total time she practices for any number of days, d, write
Alex Ar [27]

Answer:

<h3>t = 15d</h3>

Step-by-step explanation:

You must first know that 1 week = 7days

If Sophie practices the piano 105 minutes in 1 week, this can be expressed as;

105 minutes = 7days

to calculate the total time t that she practices for any number of days, d, we will say;

t minutes = d days.

Solving both expression;

105 minutes = 7days

t minutes = d days.

Cross multiply;

7 * t = 105 * d

7t = 105d

Divide both sides by 7;

7t/7 = 105d/7

t = 15d

Hence a proportional equation for t in terms of d that matches the context is expressed as t = 15d

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3 years ago
A spinner has equal regions numbered 1 through 20. What is the probability that the spinner will stop on an odd number or a mult
klio [65]

Answer:

<em>Probability that the spinner will stop on an odd number or a multiple of 5 is </em><em>0.6</em>

Step-by-step explanation:

Probability = \frac{Required outcomes}{Total possible outcomes}

We are given the equal regions numbered from 1 through 20 which means that our total possible outcomes are 20

<em>Total possible outcomes: 20</em>


<em>Outcomes that spinner will stop on an odd number, n(Odd): 10</em>

1, 3, 5, 7, 9, 11, 13, 15, 17, 19

Probability of spinner stoping on Odd number:

P(Odd) = \frac{n(Odd)}{Total} = \frac{10}{20} = \frac{1}{2} = 0.5


Outcomes that spinner will stop on a multiple of 5, n(5): 4

5, 10, 15, 20

Probability of spinner stoping on multiple of 5:

P(5) = \frac{n(5)}{Total} = \frac{4}{20} = \frac{1}{5} = 0.2

Odd numbers which are a multiple of 5 are: 5 and 15

So,

P(Odd and 5) = \frac{2}{20}=\frac{1}{10}=0.1

Thus Probability of spinner stopping at odd number or a multiple of 5 becomes:

P(Odd or 5) = P(Odd) + P(5) - P(Odd and 5) = 0.5 + 0.2 - 0.1 = 0.6

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3 years ago
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Answer:

D

Step-by-step explanation:

4 0
2 years ago
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What can a set of points tell you about a linear relationship?
hodyreva [135]

Answer:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

Step-by-step explanation:

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3 years ago
Describe how equality and democracy represent traditional American values,
user100 [1]

Answer:

The United States was founded on "equality". Our Declaration of Independence was created to ensure the rights given to us as American citizens and state what must be upheld to protect these rights. Equality comes from a very valued form of Government in America called Democracy. Americans are given the right to freedom of speech, and this represents traditional American values.

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