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Rus_ich [418]
4 years ago
13

determine between which consecutive integers the real zeros of each function are located f(x) = 3x3 – 10x2 + 22x – 4

Mathematics
1 answer:
Dmitry_Shevchenko [17]4 years ago
7 0
We don´t need to determine the real zero of this function, but just to determine between which consecutive integers the real zero is located.
If we assume that x=0:
f(0)= 3*0-10*0+22*0-4 = -4
and for: x=1: 
f(1)=3*1-10*1+22*1-4=3-10+22-4=11
It means that the real zero is between 0 and 1. 
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Can someone please help me on this question? I am very confused!
n200080 [17]

Here we are give the value for π and Diameter of the circle fence

π=3.14

Diameter = 16

Radius = Diameter/2

2πr = 2(3.14)(8)

Circumference = 50.27

Now to fine the square fence length so we do 16*4 = 64

64-50.27 = 13.73 in

Therefore, the square fence is 13.73 inches longer than the circle fence

5 0
3 years ago
A 3-dimensional shape is made of 36 unit cubes, without any gaps. What is the volume of the shape?
fomenos

Answer:

36 unit

Step-by-step explanation:

The number of unit cubes in the shape = 36 unit cubes

The dimension (volume) of each cubes = 1 unit³

The type of shape = 3-dimensional

The arrangement of the cubes in the shape = Without gaps

The volume of a 3-dimensional shape made of a number of unit cubes without gaps is equal to the sum of the unit cubes

Therefore;

The volume of the 3-dimensional shape that consists of 36 unit cube, V = (1 + 1 + 1 +...+ 1) unit³ = 36 unit³

The volume of the 3-dimensional shap³e, V = 36 unit³

7 0
3 years ago
How to calculate standard deviation sample?
Harman [31]
Formula for standard deviation sample calculation is:
SD = sqrt (( ∑( x - m)²) / ( n - 1 )),
where x stays for each value in the data set, m stays for mean of all values in the data set, and n stays for the number of values in the data set.
For example: Find the sample standard deviation for the set of numbers: 10, 11, 11, 12, 12.
First we will find mean of all avlues: m = ( 10 + 11 + 11 + 12 +12 ) / 5 = 11.2
SD = sqrt (( 1.2² + 0.2² + 0.2² + 0.8² + 0.8² ) / ( 5 - 1 ))=
= sqrt ( 2.8 / 4 ) = √0.7 = 0.837
7 0
4 years ago
Find the area of this parallelogram. Be sure to include the correct unit in your answer. 8 in, 15 in, and 6 in
zaharov [31]

Answer:

90 in²

Step-by-step explanation:

The diagram isn't attached :

However, taking the base of the parallelogram, b as 15 in

The height as 6 in

And the Slant height as 8 in

The Area of a parallelogram is given as :

Area, A = Base, b multiplied by height, h

A = b * h

Hence, Area of the above parallelogram is:

A = 15 in * 6 in

A = 90 in²

7 0
3 years ago
Find the slope of the line y = 5/8x - 1/2
VashaNatasha [74]

Answer:

slope = \frac{5}{8}

Step-by-step explanation:

Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.

By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is \frac{5}{8}.

6 0
3 years ago
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