MATHEMATICS HIGH SCHOOL

Without using a calculator, determine the number of real zeros of the function f(x) = x3 + 4x2 + x − 6.

Answers

Answer 1

Answer:

Answer:

ON PLATO in the empty box the type: 3

Step-by-step explanation:

(x-1) (x+3) (x+2) these are the factors which means there three of them :)

Answer 2

Answer: I am pretty sure x= -0.5

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A contractor has 48 meters of fencing to use as the perimeter of a rectangular garden. The length of one side of the garden is represented by x, and the area of the garden is 108 square meters. Determine, algebraically, the dimensions of the garden in meters

How to solve this ?

Answers

-x-3y=-26

6x+3y=21

---------------

3y cancels out.

-x=-26

6x=21

--------------

5x=-5

x=-1

What is the common difference between the elements of the arithmetic sequence below? –18, –22.5, –27, –31.5, –36

Answers

Answer
Common difference = -4.5

Explanation.
An arithmetic sequence is a sequence in which the next term is found by adding a constant to the current term. This constant is called the common difference.
If a, b, c, d, e, ….is an arithmetic sequence, then the common difference will be,
Common difference = b-a=c-b=d-c=e-d…..
Now the question above common difference is;
Common difference = (-22.5)-(-14)=-4.5

Answer:

-4.5

confirmed correct on edge

What is the midpoint of the line segment with endpoints (-2, -4) and (4,6)?

Answers

Answer:

(1,1)

Step-by-step explanation:

use the midpoint formula to find the midpoint of the line segment

What are the x-intercepts of the quadratic function?y = –x2 + 2x – 1
(Points : 1) A. 2 and 1 B. –2 and 1 C. 2 and –1 D. 1

Answers

$y=-x^2+2x-1=-(x^2-2x+1)=-(x-1)^2\ \ \Rightarrow\ \ y \leq 0\n \nC.\ x=2\ \ \Rightarrow\ \ \ y=-(2-1)^2=-1\ \ \Rightarrow\ \ (2;-1)\n \nAns.\ C$

The correlation coefficient r between a child age x and the number of minutes spent doing homework each day y is 0.694.What percent of the variation?

A. 30.6%
B. 48.2%
C. 51.8%
D. 69.4%

Answers

The final answer to your question is that the percent variation of the correlation coefficient between a child age x and the number of minutes spent doing homework each day y with r = 0.694 is C. 51.8%.

Hope my answer would be a great help for you.

Answer:

The answer is 48.2%

Step-by-step explanation:

The correlation coefficient r between a child age x and the number of minutes spent doing homework each day y is 0.694 i.e r=0.694

Now, we have to find percent of the variation.

The coefficient of determination is $r^(2)$