Answer:
the answer would be -2
Step-by-step explanation:
<span><span><span>(3x−2)/</span><span>(x−1<span>)^2</span></span></span>=<span>A/(<span>x−1) </span></span>+ <span><span>B/x</span><span>(x−1<span>)^2
</span></span></span> =[<span><span>A(x−1)+Bx</span><span>(x−1<span>)] / 2</span></span></span></span>
3x-2=A(x-1)+Bx
3x-2=x(A+B)-A
A+B=3
-A=-2=>A=2
A+B=3=>2+B=3=>B=1
lets check our partial fraction
we have
<span><span><span>2/(<span>x−1) </span></span>+ <span>x/<span>(x−1<span>)^2 </span></span></span>= [<span><span>2(x−1)+x] / </span><span>(x−1<span>)^2
</span></span></span> =(<span><span>3x−2) / </span><span>(x−1<span>)^2</span></span></span></span></span>
First we need to define this equation using point slope form.
Point slope form is represented by the following (x₁ and y₁ represent the given points, and m represents slope)
So if we plug in our values, we get
Now, in order to get it into slope-intercept form, we must isolate the Y value
So the equation is
Y = X-7
Answer:
The correct answer is B) y = 2x - 1
Step-by-step explanation:
To find this, first choose any two data points and find the slope. We'll use points (-2, -3) and (0, 1)
m(slope) = (y2 - y1)/(x2 -x1)
m = (1 - -3)/(0 - -2)
m = 4/2
m = 2
Now we use either point and the slope in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 1 = 2(x - 0)
y - 1 = 2x
y = 2x + 1
Answer:
V = 310.5 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Prism Formula: V = lwh
- <em>l</em> is length
- <em>w</em> is width
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>l</em> = 13.8 cm
<em>w</em> = 4.5 cm
<em>h</em> = 5 cm
<u>Step 2: Solve for </u><em><u>V</u></em>
- Substitute in variables [Volume of a Prism Formula]: V = (13.8 cm)(4.5 cm)(5 cm)
- Multiply: V = (62.1 cm²)(5 cm)
- Multiply: V = 310.5 cm³
