The quotient of three and the quantity of three less than one-sixth of a number x?
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Good, right?
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the y intercept is when the line passes through the y axis or when x=0
so we need to find the equation in slope intercept form or y=mx+b where m=slope or rise over run and b is y intercept
we plot the points and find that the slope is 9/5 so
y=9/5x+b
we subsitute one of the values
-3=9/5(-4)+b
-3=-36/5+b
36/5=7 1/5
-3=-7 1/5+b
b-3=-7 1/5
b=-4 1/5
the equation is y=9/5x-4 and 1/5 or y=9/5x-21/5
x intercept
y=0
0=9/5x-21/5
21/5=9/5x
multiply both sides by 5/9
65/45=1/1x
x=21/9=7/3
x intercept=7/3
y intercept
x=0
y=9/5(0)-21/5
y=-21/5
y intercept=-21/5
a. z^2 − 5z + 8
b. x^2 + 0.6x + 1
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Answer:
The answer to your question is below
Step-by-step explanation:
a)
z² - 5z + 8
Equal to zero z² - 5z + 8 = 0
Subtract 8 in both sides z² - 5z + 8 - 8 = 0 - 8
Simplify z² - 5z = -8
Divide -5 by 2 write the result
in both sides of the equation z² - 5z + (-5/2)² = -8 + (-5/2)²
to the power of 2
Simplify z² - 5z + 25/4 = -8 + 25/4
z² - 5z + 25/4 = -32/4 + 25/4
z² - 5z + 25/4 = -7/4
Factor (z - 5/2)² = -7/4
b)
x² - 0.6x + 1
Convert 0.6 to a fraction 0.6 = 6/10 = 3/5
x² - 3/5x + 1
Equal to zero x² - 3/5x + 1 = 0
Subtract -1 in both sides z² - 3/5z + 1 - 1 = 0 - 1
Simplify z² - 3/5z = - 1
Divide -3/5 by 2 write the result
in both sides of the equation z² - 3/5z + (-3/10)² = -1 + (-3/10)²
to the power of 2
Simplify z² - 3/5z + 9/100 = -1 + 9/100
z² - 3/5z + 9/100 = -100/100 + 9/100
z² - 3/5z + 9/100 = -91/100
Factor (z - 3/10)² = -91/100
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The solution of expression are,
⇒ d = 11/4
We have to given that,
An expression to solve,
⇒ 15 = 5 + 4 (2d - 3)
We can simplify as,
⇒ 15 = 5 + 4 (2d - 3)
⇒ 15 = 5 + 8d - 12
⇒ 15 - 5 + 12 = 8d
⇒ 10 + 12 = 8d
⇒ 8d = 22
⇒ d = 22/8
⇒ d = 11/4
Thus, The solution of expression are,
⇒ d = 11/4
Learn more about the mathematical expression visit:
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15=8d+17
8d=15+17
8d=32
d=32 divided by 8
d=4
128, 32, 8, 2, ... A) Arithmetic, common difference is 5
1, 3, 9, 27, ... B) Arithmetic, common difference is -3
5, 10, 15, 20, ... C) Geometric, common ratio is 0.25
20, 17, 14, 11, ... D) Geometric, common ratio is 3
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Answer:
9586.232772
$4000×1.06( to the power of 15)=9586.232772