Well, the way I see it is that both Mr. Romano, and Ms. Guerra are correct but Professor McCoy is incorrect because he said (x+2) when it should be (x-2).
The factor theorem states that:
If f(a)=0, then (x-a) is a factor
The remainder theorem states that:
If (x-a) is a factor of f(x), then f(x) / (x-a) = 0
So if 2 is indeed a zero of f(x), then a factor must be (x-2) according to the fist which supports Ms. Guerra and also if (x-2) is indeed a factor as Ms. Guerra says then we know that f(x) / (x-a) = 0 which supports Mr. Romano
Professor McCoy is wrong because he used (x + 2) when it should be (x-2). I know this because according to the factor theorem if f(a)=0, then (x-a) is a factor. And the remainder theorem says if (x-a) is a factor of f(x), then f(x)/x-a =0.
Answer:
B
Step-by-step explanation:
Capitals represents countries as the function
Answer:
y = - x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 1, thus
y = - x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = - 2 + c ⇒ c = 0 + 2 = 2
y = - x + 2 ← equation of line
<span>The table to represent a linear function with a rate of change of +5
</span>
so, m = 13 + 5 = 18
The correct answer is option 3 ⇒ <span>m = 18
</span>
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another solution :
The table represents a linear function
the general equation of the linear function is ⇒ y = ax+b
where a is the slope and b is constant
By using the first and the third points from table to find the equation of the linear function
at x = 3 ⇒ y = 13 and at x = 5 ⇒ y = 23
∴ 13 = 3a+b → (1)
23 = 5a+b → (2)
solve (1) and (2) to find a and b
So, a = 5 and b = -2
∴ y = 5x - 2
After that by substitution with x = 4 int the equation of y
∴ y = 5*4-2 = 18
∴ m = 18
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Step-by-step explanation:
2x-y= -1
x-2y= -8
eqn2*2=2x-4y= -16
eqn3- eqn1
-3y=- -15 y=5
2x-5= -1
2x=4 x=2
