Since we can use direct substitution, we can just plug in x=0 into the equation.
Thus, your answer is the first choice.
Have an awesome day! :)
Answer:
The answer is: 1. 5 minutes and 2. 133.3 meters
Step-by-step explanation:
To find how long it takes the cyclist to travel 2km at 24km / hour, set up the equation and cross multiply:
2 / 24 = x / 1
24x = 2
x = 2/24 = 1/12 of an hour or 60 / 12 = 5 Minutes.
To find how far he travels in 20 seconds:
Multiply 24 km by 1000 to get meters per hour. Divide by 3600 to get meters per second:
24000 / 3600 = 6.6 meters per second.
Multiply by 20 seconds to get the distance traveled in 20 seconds:
6.6 * 20 = 133.3
We first calculate Pablo's height .
4 = 100%
x = 1% (Where x is 1% of Sandra's height.)
cross multiplying the equation, we get:
100x = 4 → x = 4/100 → x = 0.04
If 1% = 0.04, then 10% will be 0.04 × 10 = 0.4
Pablo's height is 4 + 0.4 = 4.4 feet.
Now we repeat the above steps to get Michal's height from Pablo's height
4.4 = 100%
x = 1% so:
100x = 4.4 → x = 4.4/ 100 → x = 0.044
If 1% = 0.044, then 8% will be 0.044 × 8 = 0.35
Michael's height is 4.4 + 0.35 = 4.75 feet.
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>
The correct answer here would be D. -1(3x+1)(x+5). You can find this answer by redistributing the problem.
-1(3x+1)(x+5)
-1(3x²+15x+1x+5)
-1(3x²+16x+5)
-3x²-16x-5
Using the math above, we can see that when we redistribute we get the original equation. That makes Choice D correct.
