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andrew-mc [135]
3 years ago
5

What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea

r function.
Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
To find the contrapositive, you negate the hypothesis and the conclusion of the statement, and then switch their positions in the statement such that the conclusion becomes the hypothesis and vice versa:

If two variables are directly proportional, then their graph is a linear function. 

If two variables are not directly protional, then their graph is not a linear function.
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If you toss three coins, what are the odds in favor of getting exactly two tails and one head?
Leni [432]
\displaystyle
|\Omega|=2^3=8\\
|A|=3\\\\
P(A)=\dfrac{3}{8}\Rightarrow \text{A}
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3 years ago
Point A’ is the image of Point A when point A is rotated about the origin B. What angle in the counterclockwise direction is A r
liberstina [14]

Answer:

90 degrees

Step-by-step explanation:

8 0
2 years ago
Determine if the equation below is a function with independent variable x. If so, find the domain. If not, find a value of x to
Andre45 [30]

Answer:

No because it contains points (3,4) and (3,-4).  You cannot have a x assigned to more than one y-value if you want it to be a function.

Step-by-step explanation:

A function has one output per input.

If we are trying to determine if the given is a function of x, then x is the input.

However I can get two outputs from plugging in x=3.

3^2+y^2=25

9+y^2=25

Subtract 9 on both sides:

y^2=25-9

y^2=16

Take the square root of both sides:

y=\pm \sqrt{16}

y=\pm 4.

So input x=3 yields y=4 and y=-4.

Since this input has more than one output then the given is not a function of x.

----Also!

If you graph the equation, it is a circle with radius 5 and center (0,0). So I could I plug in any number for x between -5 and 5 excluding -5 and 5 which would yield only one output each. Since plugging in either one gives:

(\pm 5)^2+y^2=25

25+y^2=25

Subtract 25 on both sides:

y^2=25-25

Simplify:

y^2=0

There is only one value y such that when you square it gives you 0. That is 0.

x=5 only gives y=0 and x=-5 only gives y=0.

There is no circle, unless it is a circle with radius 0 which means it really wouldn't be a circle, that is a function.

8 0
2 years ago
The Miller family bought 4 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 27 of the eggs. How man
Varvara68 [4.7K]

Answer:

45 eggs left

Step-by-step explanation:

if they had 4 crates and each crate has 18, then we have a total of 72 eggs

subtract 27 eaten eggs from 72

72-27=45

they have 45 eggs left

4 0
3 years ago
Read 2 more answers
The sum of two numbers is 43, and their product is 450. What is their difference?​
kow [346]

Answer:

List the factors of 450

1,450

3,150

5,90

6,75

9,50

10,45

15,30

18,25

The factor with the sum of 43 is 18+25

25-18=7 so the difference is 7

hope this helps

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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