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mina [271]
2 years ago
5

The graph of the function f(x) = (x – 4)(x + 1) is shown below.

Mathematics
2 answers:
bekas [8.4K]2 years ago
5 0

Answer: I think it might be the third answer choice

Step-by-step explanation:

since it is going through the points of a parabola

Tom [10]2 years ago
3 0

Answer:

The function is decreasing for all real values of x where

x < 1.5.

Step-by-step explanation: it's D on edg

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What is the inverse of x=4-4y+y^2
Zarrin [17]
To find invers
1. solve for y
2. replace y with xinverse

so

x=4-4y+y^2
reorder right side
x=y^2-4y+4
factor right side
x=(y-2)^2
squaer root both sides
+/-√x=y-2
add 2 to both sides
2+/-√x=y
switch x and y
2+/-√y=xinverse

xinverse=2+√y or 2-√y
subtract 4 from both sides






5 0
3 years ago
A, b, c, and d please
DIA [1.3K]
<h2>Answers / Step-by-step explanation:</h2><h3>a. What is the length of one side of the square.</h3>

<em>Looking at the image, the radius (r) of the circle appears to cover half of the length of a side of the square. Hence, the side of the square has a length of </em><em>2r</em><em>.</em>

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

<h3>b. The formula A= πr² is used to find the area of a circle. The formula A=4r² can be used to find the area of the square. Write the ratio of the area of the circle to the area of the square in the simplest form.</h3>

<em />Ratio=\frac{\pi r^{2} }{4r^2} =\frac{\pi}{4}.

<em>Notice that the value "r²" disappears from the expression because is being multiplied and divided by it at the same time.</em>

<em />

Ratio=\frac{4\pi }{16} =0.7854.

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

c. Complete the table.

<em>To complete each cell of the table, simply take the equation of the asked parameter and substitute the value of r by the number indicated in the title of the column. For example, column 3 should be filled out like this:</em>

Area of Circle (units²): π(3)²or 9π.

Length of 1 Side of the Square: 2r= 2(3)= 6.

Area of Square (units²)= 4r²= 4(3)²= 36.

Ratio: \frac{\pi}{4}.

<em>Do the same for all the other columns. </em>

<em>The answers to the table are presented on the attached image</em><em>.</em>

<em />

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em />

d. What can you conclude about the relationship between the area of the circle and the square?

<em>They will always have the same value, π/4, regardless of the size of the square and circle. As long as the circle borders meet the square's at the middle of each side of the square, the relationship will be the same</em><em>.</em>

4 0
2 years ago
Which postulate proves that the triangles below are similar?
Molodets [167]

Answer:

AA~

Step-by-step explanation:

These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.

3 0
3 years ago
1/3(-15 divide 1/2) 1/4 what does it equal
Dafna1 [17]

Answer:

-2.5 or - 2 1/2

Step-by-step explanation:

Writing out the expression Mathematically ;

1/3(-15÷1/2)1/4

Using PEMDAS :

Solving the bracket first

(-15 ÷ 1/2) = (-15 * 2/1) = - 30

We have :

1/3(-30)1/4 = - 10 * 1/4 = - 10 / 4 = - 2.5

-2.5 = - 2 1/2

3 0
2 years ago
Which of the following is a logarithmic function?
Art [367]

Answer:

c

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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