Answer:
The equation of the line is 5x + y + 19 = 0
Step-by-step explanation:
The equation of the line with slope 'm' and given a point (x₁, y₁) passing through it we use the Slope - one - point form which is given by:
y - y₁ = m(x - x₁)
The point given is: (-3, -4) and the slope is -5.
We get the equation of the line to be:
y - (-4) = -5(x - (-3))
⇒ y + 4 = -5(x + 3)
⇒ y + 4 = -5x - 15
⇒ 5x + y + 19 = 0. is the required equation of the line.
Answer:
(1.13, 7.74) and (-4.13, 18.26)
Step-by-step explanation:
This can be solved in two ways: mathematically and graphically.
<u>Graphing</u>
Plot both lines and find where they intersect. See the attachment.
The intersection points are (1.13, 7.74) and (-4.13, 18.26)
<u>Mathematical</u>
y + 2x = 10
y = 10 - 2x
y = 3x² + 7x - 4
10 - 2x = 3x² + 7x - 4
3x² + 9x - 14 = 0
Solve this using the quadratic equation:
x = 1.13 and -4.13
Use these two values of x to find y:
y = 10 - 2x
y = 10 - 2(1.13)
y = 7.74
y = 10 -2x
y = 10 -2(-4.13)
y = 18.26
The two points are:
(1.13, 7.74) and (-4.13, 18.26)
Answer:
(s +1)²(s +5)
Step-by-step explanation:
Factors of the first denominator are ...
s² +2s +1 = (s +1)²
Factors of the second denominator are ...
s² +6s +5) = (s +1)(s +5)
The least common denominator will be the product of the unique factors to their highest power.
LCD = (s +1)²(s +5)
I find it most useful to leave the denominator in this form. Your computer may require it be multiplied out.
LCD = (s² +2s +1)(s +5) = s³ +2s² +s + 5s² +10s +5
LCD = s³ +7s² +11s +5
Answer:
300
Step-by-step explanation:
Find the y value when x = 60
Looking at the graph when x=60, y= 300
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