MATHEMATICS MIDDLE SCHOOL

X^-2+4x^-1+3=0 solve by making appropriate substitution

Answers

Answer 1
Answer:

ANSWER

x = - 1 \: or \: x = - (1)/( 3)

EXPLANATION

The given equation is:

{x}^( - 2) + 4 {x}^( - 1) + 3 = 0

Recall that:

{a}^( - m) = \frac{1}{ {a}^(m) }

\frac{1}{ {x}^(2) } + (4)/(x) + 3 = 0

Or

{( (1)/(x) )}^(2) + 4( (1)/(x) ) + 3 = 0

Let

u = (1)/(x)

Our equation then becomes:

{u}^(2) + 4u + 3 = 0

The factors of 3 that add up to 4 are:

{u}^(2) + 3u + u + 3

u(u + 3) + 1(u + 3) = 0

(u + 1)(u + 3) = 0

u + 1 = 0 \: or \: u + 3 = 0

u = - 1 \: or \: u = - 3

This implies that:

(1)/(x) = - 1 \: or \: (1)/(x) = - 3

x = - 1 \: or \: x = - (1)/( 3)

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What is the volume of the prism

Answers

From the graph , we have to find the length, width and height of the prism to calculate volume .

And for that we have to use distance formula.

Length= √((4-4)^2 +(6-0)^2 + (0-0)^2 ) = √(36) =6 \n Width = √((4-0)^2+(6-6)^2+(0-0)^2) = √(16)=4 \nheight = √((4-4)^2 +(6-6)^2 +(2-0)^2 ) = √(4) =2

And the formula of volume is

Volume = length * width * height = 6*4*2=48 \ cubic \ units

1/3 squared times 1/5

Answers

the answer is 0.02222222222
the answer is 1/45
1/3² x 1/5

1/3² = 1/3 x 1/3 = 1/9

1/9 x 1/5 = 1/45

What is the slope of line m? PLEASE HELP !!!

Answers

slope=rise/run

se how many units it goes up and how many units it goes to the right

from (-3,0) to (0,6), it goes up 6 units total and goes 3 units to right therefor
6/3=2=slope
slope=2
or the longer way is
slope=(y2-y1)/(x2-x1)
slope=(6-0)/(0-(-3))=6/(0+3)=6/3=2


slope=2

Did i get this question right please help me
4(6 – 3) i pick 12 to be my answer am i correct

Answers

4(6-3) 4x6 is 24 4x -3 is -12 so 24-12= 12 so yes you are right
Yes, there are two ways to do it 1. 6-3=3, 4*3=12 2. (4*6)+(4*-3)=24-12=12 CORRECT ☺☺☺

Anyone good at Linear Equations and Intercepts if so please help. This stuff makes me feel stupid. What are the intercepts of the line?

A.
x-intercept: 0; y-intercept: 5

B.
x-intercept: 5; y-intercept: 0

C.
no x-intercept; y-intercept: 5

D.
x-intercept: 5; no y-intercept

Answers

If I can offer a suggestion ... You ought to look back in your book, or notes,
or homework, and recall what "intercept" means, and what one looks like.

The "y-intercept" of an equation is the point where
the graph crosses the y-axis.
On this graph, the line crosses the y-axis at y=5 .

The "x-intercept" of an equation is the point where
the graph crosses the x-axis.
On this graph, the line never crosses the x-axis at all.
(That DOESN't mean the x-intercept is zero.  It means there isn't any.)

Divide the shape in to 3 equal partshade the parts that represents 1/3

Answers

draw 2 lines from the top 2 corners and join them at the center of the bottom of the shape.

Hope that helped.= )
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