Answer:
f(x) = x² +x -6
Step-by-step explanation:
The standard form will look like ...
f(x) = x² +bx +c
where b is the opposite of the sum of the roots, and c is their product.
f(x) = x² -(-3+2)x +(-3)(2)
f(x) = x² +x -6
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<em>Additional comment</em>
In general, "standard form" is ax²+bx+c. In this case, the coefficient 'a' can be 1 since neither of the roots is expressed as a fraction. The sum of roots is (-b/a) and the product of roots is (c/a).
Answer:
all work is shown and pictured
Multiply both sides by -8.
Then add the one to both side to cancel it out and get 7x by itself
Then divide the whole thing by 7. So it’ll look like this: 32+1=7x and then add the one then divide by 7
slope-point form:
we need the slope (m) and a point.
y-y₀=m(x-x₀)
Given two point A(x₁,y₂) and B(x₂,y₂), the slope of the line is :
m=(y₂-y₁) /(x₂-x₁)
Example 3:
we can take two points:
A(12,2)
B(13,7)
m=(7-2) / (13-12)=5/1=5
therefore:
y-2=5(x-12)
y-2=5x-60
y=5x-60+2
y=5x-58
answer: y=5x-58
Example 4:
we can take two points.
A(0,0)
B(3,1)
m=(1-0)/(3-0)=1/3
Therefore:
y-0=1/3(x-0)
y=x/3
answer: y=x/3
Answer:
49.865%
Step-by-step explanation:
Given that:
μ = 4 ; σ = 1
For x = 4
P(x < 4) :
Z score (x - μ) / σ
P(x < 7) - P(x < 4)
((7 - 4) / 1) - ((4 - 4) / 1)
P(Z < 3) - P(Z < 0)
Usibg the Z probability calculator :
0.99865 - 0.5
= 0.49865
= 0.49865 * 100
= 49.865%
