Answer:
The answer is x= -4/3
Step-by-step explanation:
3(x-4)=12x
=3x-12=12x
=3x-3x-12=12x-3x
-12=9x
To find x divide both sides by 9.
-12÷9=9x÷9
-4/3=x
1252 males and 1413 females......total of babies = 2665
probability of next baby being a boy : 1252/2665 or 47%
probability of next baby being a girl : 1413/2665 or 53%
Answer:
- y = -3/5x - 6 or 3x + 5y = -30
Step-by-step explanation:
<u>Given line:</u>
<u>Converting into slope-intercept form:</u>
- 3x + 5y = 15
- 5y = - 3x + 15
- y = -3/5x + 3
<u>Parallel lines have the same slope, so the parallel line will be:</u>
<u>Using given point (-5, -3) finding the y-intercept:</u>
- -3 = -3/5(-5) + b
- -3 = 3 + b
- b = -3 - 3
- b = -6
<u>So the line is:</u>
<u>Or converted into standard form:</u>
- y = - 3/5x - 6
- 3/5x + y = -6
- 3x + 5y = -30
The answer is 8.2×10^5 . All you have to do is move the decimal place over till there is only one number after the decimal.
Answer:
<u>4y = x + 13</u>
Step-by-step explanation:
The general equation of the line y = mx + c
where m is the slope and c is constant represent y-intercept
The line shown in the graph pass through the points (3,4) , (-1,3)
The slope of the line = (y₂-y₁)/(x₂-x₁) = (3-4)/(-1-3) = -1/-4 = 1/4
∴ y = (1/4) x + c
Substitute with the point (3,4) to find c
∴ 4 = (1/4) 3 + c
∴ c = 4 - 3/4 = 13/4
∴ y = (1/4) x + 13/4 ⇒ multiply both sides by 4
∴ 4y = x + 13
So, The equation of the line in the graph: 4y = x + 13
The equation can be written as <u>y = (1/4) x + 13/4 OR 4y - x = 13</u>