Let the distance to his office be x, then
On monday, speed = x/20 miles per minutes = 3x miles per hour
On tuesday, speed = (3x + 15) miles per hour
Time = distance / speed
(20 - 6)/60 hours = x/(3x + 15) hours
7/30 = x/(3x + 15)
7(3x + 15) = 30x
21x + 105 = 30x
30x - 21x = 105
9x = 105
x = 105/9 = 11.7 miles
Therfore he travels an average of 11.7 miles to work.
Answer:
y= 4x^2
Step-by-step explanation:
Answer:
k12
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Firstly, create an equation or formula
- because they are congurent, IN = AT, so:
2x+10 = 26 (minus 10 from both sides)
2x = 16 (divide both sides by 2)
x = 8
Sub into the formula:
2 x 8 + 10 = 26
26 = 26
The equation for the path of the ball can be measured using a regression model calculator which produced the quadratic model ;
- y(x) = - 16x² + 36x + 4
- Height at x = 1.7 = 18.89 feets
<u>The table given</u> :
Time, x : __0.5 ___ 1 ____ 1.5 ____ 2
Height, y _ 18 ____22 ___ 24 ____ 12
<u>Using </u><u>technology</u><u> such as a </u><u>quadratic regression</u><u> calculator or </u><u>excel</u> ;
The quadratic regression model obtained is :
<u>The </u><u>height after, 1.7 seconds</u><u>, x = 1.7 can be calculated thus</u> :
Put x = 1.7 in the equation :
- y(1.7) = - 16(1.7)² + 36(1.7) + 4
- y = 18.89 feets
Therefore, the height of the baseball after 1.7 seconds will be 18.89 feets.
Learn more : brainly.com/question/22939512