The correct answer is: [D]: " y = - 4x − 13 " .
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Explanation:
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All the answer choices given are written in "point-slope format" (also known as "slope-intercept format" — that is: " y = mx + b" .
All of the answer choices given have a slope of "-4" ; that is: "m = -4" .
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The only answer choice with the equation that passes through point
"(-3, 1)" — that is, when "x = -3, y = 1" — is:
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Answer choice: [D]: " y = - 4x − 13 " .
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In the equation: " y = - 4x − 13 " ; when "x = - 3, y = 1" .
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Given: " y = - 4x − 13 " ;
↔ - 4x − 13 = y ;
Plug in "(-3)" for "x" ; and see that "y = 1" ;
-4(-3) − 13 = y ;
12 − 13 = y = -1 ;
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So, when x = -3, y = 1 .
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The correct answer is: [D]: " y = - 4x − 13 " .
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Consider choice: [A]: " y = - 4x + 13 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 13 = y ; 12 + 13 = 25 ; NOT "-3" .
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Consider choice: [B]: " y = - 4x + 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) + 7 = y ; 12 + 7 = 19 ; NOT "-3" .
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Consider choice: [C]: " y = - 4x − 7 " ;
Substitute "(-3)" for "x" and see if "y = -1" ;
-4(-3) − 7 = y ; 12 − 7 = 9 ; NOT "-3" .
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This leaves us with "Answer choice: [D]: " y = - 4x − 13 " ; the only remaining answer choice; which we have already confirmed is correct; so we do not need to check.
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Hope this helps!
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Answer:
Area = x^2+4x+3
Step-by-step explanation:
The volume of a box is given by the expression
x^3 + 3x^2 - x-3. The height of the box is given by the expression x-1.
volume of the box = Length * width * height
L is the side length of the box;
Given
V(x) = x^3 + 3x^2 - x-3
Factorize
V(x) = x^2(x+3)-1(x+3)
V(x) = (x^2-1)(x+3)
V(x) = (x+1)(x-1)(x+3)
V = LWH
V = Area * Width
Since the height of the box is x - 1
Area = (x+1)(x+3)
Expand
Area = x^2+3x+x+3
Area = x^2+4x+3
Answer:
slope-intercept formula -----> Y2-Y1/X2-X1
Step-by-step explanation:
X1= 2 X2= 0
Y1= -4 Y2= -4
-4+4/0-2=0
The topics you should learn are equating denominators and fractions. This is summing up simple fractions.
So we have to make denominators' numbers the same in order to sum up them all (we can sum fractions if the denominators are the same) , and we did it by cross product (that thing on the picture)
Equating by lcm (least common multiple) is the easiest way, because you might see bigger numbers on other questions, and cross product will bring much bigger numbers, so this technic might confuse you.
By the way lcm of 4 and 5 is already 20
Hope it helps!
<span>(x-1)^2
=x^2 - 2x + 1
hope it helps</span>
