Answer:
t = 6.2/s miles/minute
Step-by-step explanation:
Average speed is defined as the rate of change in distance of a body. Mathematically; speed = Distance/Time
Given the distance of the runner in miles to be d = 6.2miles
Time taken = t
Average speed = s
To express t in terms of the average speed s and distance of 6.2miles, we will substitute the values into the formula;
s = D/t
Substituting D = 6.2miles into the formula;
s = 6.2/t
Cross multiply
St = 6.2
Divide both sides by 's'
st/s = 6.2/s
t = 6.2/s
Hence, the equation that could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute is t = 6.2/s miles/minute
Answer: a) $4.17
b) $6.95
Step-by-step explanation:
3 * 1.39 = 4.17
5 * 1.39 = 6.95
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a =
, thus
y =
(x + 6)² - 1 ← in vertex form
Expand factor and simplify
y =
(x² + 12x + 36) - 1 ← distribute
y =
x² +
x + 4 - 1
=
x² +
x + 3 ← in standard form
Answer: -6. 4. -3,75. 37.
Step-by-step explanation: -20|+10-2²= -6, since a minus×minus give you a + therefore -2²=4.
2³+(-8)= 12-8=4, a minus×plus gives you a minus.
-2,50+(-1,25)=-2,50-1,25=-3,75. |-10|+|20|-5²-(-2)=-10+20+25+2=37.
Answer:
The answer is 
Step-by-step explanation:
In order to determine the answer, we have to know about equation. In an equation, we have variables, some of them depend on the others. If we want to know the value of one variable ( the dependent variable), we have to free it in any side of the equation.
In this case, we want to know the value of "L" variable. So we free that variable to the right side of the equation.

We divide each side by "W":

We simplify the "W" in the right side:

Finally, the solution for "L" is :
