9514 1404 393
Answer:
D. 2/5
Step-by-step explanation:
The slope is the x-coefficient when the equation is solved for y.
2x -5y = 9 . . . . . . . given
-5y = -2x +9 . . . . . .subtract 2x
y = (-2/-5)x +9/(-5) . . . . divide by -5
y = 2/5x -9/5
The coefficient of x is 2/5. That is the slope of the line.
The slope is 2/5.
Answer:
x=-4 y=-1
Step-by-step explanation:
Let's solve your system by substitution.
−3x−8y=20;y=5x+19
Rewrite equations:
y=5x+19;−3x−8y=20
Step: Solve y=5x+19for y:
y=5x+19
Step: Substitute5x+19foryin−3x−8y=20:
−3x−8y=20
−3x−8(5x+19)=20
−43x−152=20(Simplify both sides of the equation)
−43x−152+152=20+152(Add 152 to both sides)
−43x=172
−43x
−43
=
172
−43
(Divide both sides by -43)
x=−4
Step: Substitute−4forxiny=5x+19:
y=5x+19
y=(5)(−4)+19
y=−1(Simplify both sides of the equation)
Answer:
x=−4 and y=−1
<span>So the question is what does the point (-3, -5) correspond to on the graph of the function. If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate. So if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5. So it must be true that y=f(-3)=-5. So the correct answer is a. f(-3)=-5.</span>
Answer:
17/40
Step-by-step explanation:
Answer:
B. f(x) = 3/(x^2 +2x +1)
E. f(x) = 5/(3+x)
Step-by-step explanation:
The above functions have denominators that are zero at one point. For B, that point is x=-1; for E, that point is x=-3. When the denominator is zero, the function is undefined, so the corresponding x-value must be excluded from the domain.
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As written, choice D also qualifies. This is because the function written in the answer list here is ...
It will be undefined for x=0.
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<em>Comment on writing rational functions</em>
When the division symbol (/ or ÷) is used with a denominator that is a product or sum, that product or sum must be enclosed in parentheses. When the expression is typeset, the division bar acts as a grouping symbol. When the expression is written in text, a grouping symbol, such as parentheses, must be added.
