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3 years ago

Which of the diagrams below represents the statement, "If it is not an apple, then it is not fruit"?

Mathematics

2 answers:

Valentin [98]3 years ago

7 0

Answer:

A. Figure A

Step-by-step explanation:

Given: If it not an apple, then it is not fruit"

Here "not an apple" is subset of "not fruit"

So "not fruit" is whole set and "not apple" is a subset.

Therefore, Figure A is true.

Hope this will helpful.

Thank you.

kherson [118]3 years ago

3 0

I'm pretty sure it is figure A

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Plot the corresponding points for the inverse of the function represented by this table of values. x -4 0 3 7

NNADVOKAT [17]

Answer:

See explanation

Step-by-step explanation:

Given the function f(x) for which

$\begin{array}{ccccc}x&-4&0&3&7\\ \\f(x)&9&5&2&-2\end {array}$

If you want to plot the corresponding points for the inverse of the function f(x), change $f(x)$ into $y$ :

$\begin{array}{ccccc}x&-4&0&3&7\\ \\y&9&5&2&-2\end {array}$

switch x and y

$\begin{array}{ccccc}y&-4&0&3&7\\ \\x&9&5&2&-2\end {array}$

and then change $y$ into $f^{-1}(x).$

You get

$\begin{array}{ccccc}x&9&5&2&-2\\ \\f^{-1}(x)&-4&0&3&7\end {array}$

Now plot these points on the coordinate plane (see attached diagram).

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3 years ago

There was 2/3 of a fruitcake left over. Ella ate 1/5 of it. How much of the whole fruitcake did she eat?

liq [111]

2/3 * 1/5 = 2/15
A) 2/15

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3 years ago

The horizontal line segment at the top of the polygon on the grid below is how many units long?

Ymorist [56]

Answer:

6 units long.

Step-by-step explanation:

Given:

A polygon drawn on a graph.

In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.

Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.

Coordinates of A are $(x_1,y_1)=(-3, 4)$ as seen in the graph.

Coordinates of B are $(x_2,y_2)=( 3, 4)$ as seen in the graph.

Now, distance formula for two points $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d_{AB}=\sqrt{(3-(-3))^2+(4-4)^2}\\d_{AB}=\sqrt{(3+3)^2+0}\\d_{AB}=\sqrt{36}=6\ units$

Therefore, the horizontal line at the top is 6 units long.

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