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marishachu [46]
3 years ago
8

(08.05)

Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0
The mistake is in step 3:

I: −2m =−12 − 2n
II: 2m = 8 + 8n

the student set both right sides of the equations equal (−12 − 2n = 8 + 8n), but the left sides aren't equal: first equation has -2m, second has +2m so the signs of one of the equations must be inverted first
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Consider the following functions. f=[(-1,1),(1,-2),(3,-4) and g=[(5,0),(-3,4),(1,1),(-4,1)} Find (f-g)(1) =
Vilka [71]

The difference between the functions give:

(f - g)(1) = f(1) - g(1) = -3

<h3>How to find the difference between the functions?</h3>

For two functions f(x) and g(x), the difference is defined as:

(f - g)(x) = f(x) - g(x).

Then:

(f - g)(1) = f(1) - g(1)

By looking at the given tables, we know that:

f(1) = -2

g(1) = 1

Replacing that we get:

(f - g)(1) = f(1) - g(1) = -2 - 1 = -3

If you want to learn more about difference of functions:

brainly.com/question/17431959

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8 0
2 years ago
Runner A completes 12 laps around a track in 22 minutes. Runner B completes 8 laps in 15 minutes. Which runner had a greater ave
castortr0y [4]

Answer:

2 divided by 22 equals 0.55. 8 divided by 15 equals 0.53. So runner A had a greater average speed.

Step-by-step explanation:

7 0
2 years ago
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A square has a side length of 21 + 11s. Select TWO equivalent
Misha Larkins [42]

Answer:

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4 0
3 years ago
Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a prob
Anit [1.1K]

Answer:

The probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

<em>X</em> = the stock goes up

<em>Y</em> = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

The events of the stock going up is not dependent on the the event of Joe winning the lottery.

So the events <em>X</em> and <em>Y</em> are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events <em>A</em> and <em>B </em>is,

P(A\cap B)=P(A)\times P(B)

Compute the value of P (<em>X ∩ Y</em>) as follows:

P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005

Thus, the probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

3 0
3 years ago
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A parabola has vertex (2, 3) and contains the point (0, 0). find an equation that represents this parabola.
AfilCa [17]
First write it in vertex form :-

y= a(x - 2)^2 + 3    where a is some constant.

We can find the value of a  by substituting the point (0.0) into the equation:-

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4a = -3

a = -3/4

so our equation becomes  y =  (-3/4)(x - 2)^2 + 3




7 0
3 years ago
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