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hammer [34]
3 years ago
15

The rectangle shown represents the base of a rectangular prism. Use the ruler provided to measure the length and width of the re

ctangle to the nearestinch.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

option G

22 in³

Step-by-step explanation:

I assumed the measurements as it could be different picture.

Length = 2.75

width = 4

Given in the question base of a rectangular prism of dimensions 4 by 2.75

Height of the prism = 2 in

Formula to calculate volume of rectangular prism

V = L x H x W

V = 4 x 2 x 2.75

V = 22 in³

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Find an upper limit for the zeroes 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0
erik [133]

<u>Answer-</u>

2 is the upper limit for the zeros.

<u>Solution-</u>

The given function f(x) is,

2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

For calculating the zeros,

\Rightarrow f(x)=0

\Rightarrow 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

\Rightarrow 2x^4-4x^3-3x^3+6x^2-2x^2+ 4x+3x-6=0

\Rightarrow 2x^3(x-2)-3x^2(x-2)-2x(x-2)+3(x-2)=0

\Rightarrow (x-2)(2x^3-3x^2-2x+3)=0

\Rightarrow (x-2)(x^2(2x-3)-1(2x-3))=0

\Rightarrow (x-2)(x^2-1)(2x-3)=0

\Rightarrow (x-2)(x+1)(x-1)(2x-3)=0

\Rightarrow x-2=0,\ x+1=0,\ x-1=0,\ 2x-3=0

\Rightarrow x=2,\ x=-1,\ x=1,\ x=\frac{3}{2}

From all the 4 roots, it can be obtained that 2 is the greatest zero.

7 0
2 years ago
Is 7- y=5x+11 a standard form
koban [17]

Answer:

No.

Step-by-step explanation:

Because standard form is ax+by=c.

6 0
3 years ago
henry is organizing textbooks on his bookshelf. he has a spanish textbook, a math textbook, and a history textbook. how many dif
Brums [2.3K]

Answer:

6

Step-by-step explanation:

S = Spanish book

M = Math book

H = History book

These are the different ways in which he can organize the book on his bookshelf.

SMH

SHM

MSH

MHS

HSM

HMS

There are 6 ways.

6 0
1 year ago
URGENT LOL PLS HELP
Evgen [1.6K]

Answer:

{3x}^{2}  + 24x - 6

Step-by-step explanation:

To find the area of a rectangle you have to multiply the length by the width.

In your problem, the length and width are both equations, so you just have to multiply each part of the equation separately.

For example, if you were to put both equations with one over the other, you just have to multiply the aligned numbers.

The length is: x2 + 6x + 3

The width is: 3x2 + 4x - 2

and if you multiply the aligned numbers together, you get

3x2 + 24x - 6. Because:

x2 × 3x2 = 3x2,

6x × 4x = 24x,

and 3 × -2 = -6

6 0
3 years ago
Read 2 more answers
Q4: Write the equation in slope-intercept form of the line that is perpendicular to
forsale [732]

Answer:

5y  = x + 11

Step-by-step explanation:

Given parameters:

  Equation of the line ;

           y  = -5x + 1

  Coordinates = (2, -1)

Find the equation of a line perpendicular;

Solution:

A line perpendicular to  y  = -5x + 1  will have slope that is a negative inverse of the given one.

Equation of a straight line is expressed as;

           y  = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

        So, the slope of the new line perpendicular is \frac{1}{5} ;

Now let us find the y-intercept of the new line;

   x = -1 and y = 2

      2  = \frac{1}{5} x (-1) + c

           c  = 2 + \frac{1}{5}   = \frac{11}{5}  

The equation of the new line is;

          y  =  \frac{1}{5}x +  \frac{11}{5}  

or multiply through by 5;

        5y  = x + 11

5 0
2 years ago
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