Answer:
distance=rate*time
2520=(r)(3)+(r+90)(3) (they both travel for 3 hours)
2520=3r+3r+270
2520-270=6r
2250=6r
r=2250/6
r=375 mph
r+90=375+90=465 mph
Step-by-step explanation:
Let g and b represent the numbers of grandstand and bleacher tickets sold.
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold
Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25
1194 bleacher tickets were sold.
<span>The number of x-intercepts that appear on the graph of the function
</span>f(x)=(x-6)^2(x+2)^2 is two (2): x=6 (multiplicity 2) and x=-2 (multiplicity 2)
Solution
x-intercepts:
f(x)=0→(x-6)^2 (x+2)^2 =0
Using that: If a . b =0→a=0 or b=0; with a=(x-6)^2 and b=(x+2)^2
(x-6)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x-6)^2] = sqrt(0)→x-6=0
Adding 6 both sides of the equation:
x-6+6=0+6→x=6 Multiplicity 2
(x+2)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x+2)^2] = sqrt(0)→x+2=0
Subtracting 2 both sides of the equation:
x+2-2=0-2→x=-2 Multiplicity 2
The equation y=2x+1 has the same slope , so will be parallel to the given line.
<h3>What is a linear function ?</h3>
A function that can be represented in the form of y =mx +c , is called a Linear Function.
here m is the slope and c is the y intercept.
The slope of the given line can be found as follows
The y intercept is 4
at x = -2 , y =0
0 = -2m + 4
m = 2
The line parallel to this line will have the same slope
In the given option , Option C , y=2x+1 has the same slope , so will be parallel to the given line.
To know more about Linear Function
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