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QveST [7]
2 years ago
13

The table shows values for functions f(x) and g(x). Just answer this simple simple question for a brain list and extra points.

Mathematics
1 answer:
lord [1]2 years ago
8 0

Answer:

x = 1 and

x = 3

Step-by-step explanation:

The solution is the x for each row where the f(x) and g(x) are the same. When x is 1, f(x) and g(x) are both 0.

When x is 3, f(x) and g(x) are both 6.

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Explain why each non-zero integer has two square roots but only one cube root.
lilavasa [31]

if we have a number like say hmm 4, and we say hmmm √4 is ±2, it simply means, that if we multiply that number twice by itself, we get what's inside the root, we get the 4, so (+2)(+2) = 4, and (-2)(-2) = 4, recall that <u>minus times minus = plus</u>.

so, any when we're referring to even roots like \bf \sqrt[2]{~~},\sqrt[4]{~~},\sqrt[6]{~~}...., the positive number, that can multiply itself an even amount of times, will produce a valid value, BUT the negative number that multiply itself an even amount of times, will also produce a valid value.

now, that's is not true for odd roots like \bf \sqrt[3]{~~},\sqrt[5]{~~},\sqrt[7]{~~}...., because the multiplication of the negative number will not produce a valid value, let's put two examples on that.


\bf \sqrt[3]{27}\implies \sqrt[3]{3^3}\implies 3\qquad because\qquad (3)(3)(3)=27&#10;\\\\\\&#10;however\qquad (-3)(-3)(-3)\ne 27~\hspace{8em}(-3)(-3)(-3)=-27&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;\sqrt[3]{-125}\implies \sqrt[3]{-5^3}\implies -5\qquad because\qquad (-5)(-5)(-5)=-125&#10;\\\\\\&#10;however\qquad (5)(5)(5)\ne -125~\hspace{10em}(5)(5)(5)=125


so, when the root is an odd root, you will always get only one number that will produce the radicand.

6 0
3 years ago
What is the area of the figure?
Korolek [52]

Answer:

Step-by-step explanation:

I think its the second one.

3 0
3 years ago
Which letter represents the maximum of the data set on the box plot? A B C E 25 30 35 40 45 50
Andre45 [30]

Answer:

E

Step-by-step explanation:

The maximum of the data set is the point to the far right.

Point E is the maximum

Point A is the minimum

Point C is the mean

7 0
3 years ago
You are designing a rectangular playground on your scale the verticals of the rectangle are (6,3), (6,5) and (8,3). What are the
Nadusha1986 [10]

Answer:

The coordinates of the fourth vertex are (8,5)

Step-by-step explanation:

We need to take note that a rectangle is a shape that has 4 sides, with two of them of equal length.

It will also help if we can visualize the points on the graph.

We are given the location of three of the four vertices. These are (6,3), (6,5) ,and (8,3). Let the 4th Vertice be (x,y)

The length of the triangle can be obtained by subtracting the y-coordinates of the vertices.

(6,3) - (6,5)

This will be +3 and +5

5-3 =2

Therefore, the length of the triangle is 2 units on the left side.

Recall that the length of the left side has to be equal to the length of the right side.

Therefore

y-3 =2

y = 5

We will repeat the same process to get the x-coordinate from the breadth

Breadth = 8-6 =2

x-6 =2

x=8

Hence the x = 8

Therefore, the coordinates of the fourth vertex are (8,5)

7 0
2 years ago
How many square feet of outdoor carpet will
jonny [76]

Answer:  30\ ft^2

Step-by-step explanation:

The missing figure is attached.

For this exercise you can divide the given figure into three rectangles.

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

Knowing this, you can calculate the area of each rectangle.

Then:

Area of the Rectangle A

You can identify that:

l_A=4\ ft\\w_A=2\ ft

Then, its area is:

A_A=(4\ ft)(2\ ft)\\\\A_A=8\ ft^2

Area of the Rectangle B

Observe that:

l_B=4\ ft+2\ ft=6\ ft\\w_B=2\ ft

Then, its area is:

A_B=(6\ ft)(2\ ft)\\\\A_B=12\ ft^2

Area of the Rectangle C

You can identify that:

l_C=5\ ft\\w_C=2\ ft

Then, its area is:

A_C=(5\ ft)(2\ ft)\\\\A_C=10\ ft^2

Add the area of the rectangles in order to find the total area. This is:

Total=8\ ft^2+12\ ft^2+10\ ft^2\\\\Total=30\ ft^2

Therefore, you will need 30\ ft^2 of  outdoor carpet for that hole.

8 0
3 years ago
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