(-3,0) and (5, -2)
slope = (0 + 2) /(-3 - 5) = -2/8
y - 0 = -2/8 (x + 3)
y = -2/8 x - 6/8
8y = -2x - 6
2x + 8y = - 6
Answer is
D. 2x + 8y = -6
The standard form of the parabola is x = -4/3y² -40/3y -103/3
What is parabola?
A parabola is an approximately U-shaped, mirror-symmetrical planar curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. One way to describe a parabola is with a point and a line.
x = -4/3(y +5)² -1
Solve for x.
x = (4y² +40y +103)/(-3)
x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US
__
Taking our clues from the graph*, we can write the vertex form equation as ...
x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places
____
* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...
x = a(y -(-5))² +(-1) = a(y +5)² -1
The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.
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Answer:
x = 4 and y = -3
Question;
Me pueden ayudar a resolver por método de sustitución porfa.
Translation: Can you help me to solve by please substitution method.
{5x+7y=-1
{-3x+4y=-24
Step-by-step explanation:
Given the simultaneous equation.
5x+7y=-1 .....1
-3x+4y=-24 .....2
From equation 2, making y the subject of formula.
4y = -24 + 3x
y = (-24+3x)/4 ...... 3
Substituting the equation 3 into equation 1
5x+7((-24+3x)/4) = -1
Multiply through by 4
20x + 7(-24+3x) = -4
20x - 168 + 21x = -4
41x -168 = -4
41x = -4 + 168
41x = 164
x = 164/41 = 4
x = 4
Substituting x = 4 into equation 3
y = (-24+3(4))/4
y = (-24+12)/4
y = -12/4
y = -3
15% each yer
represented by
f(x)=60(1.15^x)
xintercept is when the function equals zero
since it increases only, it cannot equal zero and does not have an x intercept
after 4 years the investment value is 104
after 6 yaers value is 138.7
after 7.86 years the value is179.98 which is roughly 3 times of 60
8 years later183.54 close enough
answers
f(x)=60*1.15^x
after 7.86 years value is 3 times initioal value
after 8 years value is 184
Answer:
36
Step-by-step explanation:
absolute value of -36 is 36