Answer:
It will take 4 weeks.
Step-by-step explanation:
I = 48
12 + 9x = 48
9x = 36
x = 4
Answer:
a. 10x + 2y = 23
b. 4x - y + 3 = 0
c. y + 8 = 0
d. 2x - y + 4 = 0
Step-by-step explanation:
a.
Slope of the line 'm' is
=
= -5
Equation of the line with slope m and passing through the point (x₁,y₁) is y-y₁ = m·(x-x₁)
⇒y-1.5 = -5·(x-2)
⇒y = -5x + 10 + 1.5
⇒<u>5x + y = 11.5</u> (or) <u>10x + 2y = 23</u>
b.
Slope of the line 'm' = 4
Equation of the line with slope m and passing through the point (x₁,y₁) is y-y₁ = m·(x-x₁)
⇒y-15 = 4·(x-3)
⇒y = 4x -12 + 15
⇒<u>4x - y + 3 = 0</u>
c.
Line is parallel to y = 1
Equations of parallel lines only differ by constant. So the required line equation has the form y = c where c is any real number.
But, it is given that the line passes through the point (3,-8)
⇒c=-8
⇒<u>y = -8</u> (or) <u>y + 8 = 0</u>
d.
Equation of a line with slope 'm' and y-intercept of (0,c) is of the form y = mx + c
⇒y = 2x + 4
⇒<u>2x - y + 4 = 0</u>
Answer:
x=3
Step-by-step explanation:
y= -2
4x-3y=18
4x-3(-2)=18
4x-(-6)=18
4x+6=18
4x+6-6=18-6
4x=12
![\frac{4x}{4} = \frac{12}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%7D%7B4%7D%20%3D%20%20%5Cfrac%7B12%7D%7B4%7D%20%20)
x=3
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Answer:
n = 12
Step-by-step explanation:
Do you mean (1/4)n = 3 ?
just multiply through by 4
4n(1/4) = 4×3
n = 12