I solved it on paper so it's easier.
But good luck ! :)
Answer:
x + 9
Step-by-step explanation:
Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 5 -36
↓ 4 36
----------------
1 9 0 → x + 9
You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em><em>,</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have NO REMAINDER. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, and the 9 follows right behind it, giving you the other factor of x + 9.
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Answer:
A) No
B) No
C) Yes
Step-by-step explanation:
A) 2 out of three observations is equal to
2/3 = 0.67 or 67 %
We know tha the interval
[μ - σ/2 , μ + σ/2] is approximately 68.3 % of the values
Therefore 2 out of 3 would not fall in that interval
B)
4 out of 5 is 4/5 = 0,8 or 80 % If we examine the interval
[μ - σ , μ + σ ] which is approximately 95. Then value 4/5 ( 0,8)
Therefore 0,8 is out of the interval
C) 19/20 = 0,95 or 95 % is almost exact the value for the interval
[μ - 1.5σ , μ + 1.5σ ] That value is inside μ - 2σ , μ + 2
Answer:
C = 0.65M+19.65
Step-by-step explanation:
Given the the standard charge S (in dollars) given by the function
S = 0.40M + 15.75, where M is the number of miles driven.
Also the insurance charge I (in dollars) is given by the function
I = 0.25M + 3.90
If C is the total charge (in dollars) for a rental that includes insurance, then:
C = S + I
Substitute the given function into the expression:
C = 0.40M + 15.75 + 0.25M + 3.90
Collect like terms
C = 0.40M+0.25M+15.75+3.90
C = 0.65M+19.65
<em>Hence an equation relating C to M is expressed as C = 0.65M+19.65</em>
Answer:
<h2>
y - 2 = -⁶/₅x</h2>
Step-by-step explanation:
The point-slope form of the equation of the line passing point <em>(x₁, y₁)</em> and with the slope of <em>m</em> is: y - y₁ = m(x - x₁)
m = -⁶/₅
Y-Intercept = 2 ⇒ point (0, 2) ⇒ x₁ = 0, y₁ = 2
Point-Slope Form: <u> y - 2 = -⁶/₅(x - 0)</u>
