<h2>
The race is 1.2 miles long</h2>
Step-by-step explanation:
The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg is 2/5 mi.
Now we need to find length of race
The race is 1.2 miles long
Answer:
Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to
we have
the points (−1,12) and (1,2)
substitute
step 2
we know that
The equation of the line in slope intercept form is equl to
where
m is the slope
b is the y-intercept
we have
substitute in the linear equation and solve for b
therefore
Answer:
t = 115
s = 60
g(x) = 10/23x - 10
Step-by-step explanation:
find s first since its easy (it goes up by 10's)
then take a pair from the table that corresponds such as 69 for x and 30 for g(x) and turn them into a fraction:
69/30
do the same for t:
t/50
equal 69/30 to t/50 and solve using cross multiplication:
69/30 = t/50 =
30t = 3450
/30 /30
t = 115
honestly had a little hard time finding the equation but basically I simplified the fraction 30/69 to get 10/23 for slope and then I insert a corresponding x and y value into y= mx+b with the slope value to find b.
F(x) = 2x + 5
-----------------------------------
Find f(x + 1) :
-----------------------------------
f(x +1) = 2(x + 1) + 5
f(x +1) = 2x + 2 + 5
f(x + 1) = 2x + 5
-----------------------------------
Find -2f(x+1):
-----------------------------------
-2(fx+1) = -2(2x + 5)
-2(fx+1) = -4x - 10
----------------------------------------------------------------------
Answer: -2(fx+1) = -4x - 10
----------------------------------------------------------------------
A quadratic equation has the general form
of: <span>
y=ax² + bx + c
It can be converted to the vertex form in order
to determine the vertex of the parabola. It has the standard form of:
y = a(x+h)² - k
This can be done by completing a square. The steps are as follows:
</span><span>y = 3x2 + 9x – 18
</span>y = 3(x2 <span>+ 3x) – 18
</span>y + 27/4= 3(x2 <span>+ 3x+ 9/4) – 18
</span>y = 3(x2 + 3/2)^2 – 99<span>/4
</span>
Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.
