Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the end behavior.
Answers
f(x)=
a=leading term,
z=contstant aka y intercept
this is 3rd degree (highest term is x^3) with leading term positive so the graph goes from bottom left to top right
x intercept is when y=0 so
0=x^3-15x^2+68x-96
factor
(x-8)(x-4)(x-3)
these are your roots aka zeroes (where the line crosses the x axis)
the roots are
(x-r) where r=root aka x intercept
so we have
(x-8)(x-4)(x-3)
roots are
8,4,3
x intercepts are 8,4,3 or (8,0),(4,0),(3,0)
y intercept is when x=0 so just get rid of all x terms and we are left with
-96
aka y intercept=(0,-96)
x intercepts=(8,0),(4,0),(3,0)
y intercept=(0,-96)
end bhavior is graph goes from bottom left to top right
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A garden table and a bench cost $985 combined. The garden table costs $35 more than the bench. What is the cost of the bench?
What does 4/10 simplify to?
2
4
5
Answers
lets do the math:)
2,000 ÷ 6 = 333.333333333
So if we round this it becomes 2
So your answer is B.) 2
Answer: 2=b
Step-by-step explanation:
Answers
350 × .07 = $24.50
This is the amount of tax. Now add it to the original price for the total cost.
$350.00 + $24.50 =
$374.50
of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the
value of x, in dollars, that will make their weekly pay the same.
Answers
185 dollars + 3/100 * x (3 percent of X -> his total weekly sales in dollars).
Jim's weekly pay is:
275 dollars + 25/1000 * x (2.5 percent of X -> his total weekly sales in dollars, i.e. 2.5/100 = 0.025).
We need to have these weekly pays the same, so we equalize these expressions and solve the obtained equation by x:
185 + 0.03*x = 275 + 0.025*x
we switch free numbers to the right side and unknowns to the left side of equation:
3/100 * x - 25/1000 * x = 275 - 185
3/100 * x - 25/1000 * x = 90 /*1000 (multiply whole equation by a 1000, to loose fractions)
we get:
30*x - 25*x = 90000
5*x = 90000, divide whole equation by 5 (which means both sides of equation):
x = 90000/5
x = 18000 dollars
Value of x is 18 000 for which their weekly pay is the same.
Answers
9:44+8:10 = 17.54
Answer : 17 hours and 54 minutes
If you have questions please let me know
I hope that's help !
No explanation necessary, I need an answer in two words or less
Answers
Answer: circle
Step-by-step explanation:
All cross sections of a sphere are circles.
minutes? Do not round your answers.
Answers
Final answer:
To convert from miles per hour to miles per minute, we divide by 60. Therefore, a speed of 21 miles per hour is equivalent to 0.35 miles per minute. If the cyclist rides for 15 minutes at this speed, they will travel approximately 5.25 miles.
Explanation:
The subject of this question is Mathematics, and it concerns converting units of speed from miles per hour to miles per minute, and then using this information to solve a problem. If a cyclist rides his bike at a speed of 21 miles per hour, to convert this to miles per minute you'd divide by 60, as there are 60 minutes in an hour. This gives approximately 0.35 miles per minute.
Then, to calculate how many miles the cyclist will travel in 15 minutes, you multiply the speed in miles per minute (0.35) by the number of minutes (15 minutes). So, 0.35 miles per minute times 15 minutes equals 5.25 miles. Therefore, the cyclist will travel 5.25 miles in 15 minutes provided they maintain the same speed.
Learn more about Unit Conversion here:
#SPJ2
Answer:
1. 0.35 miles per minute
2. 5.25 miles
Step-by-step explanation:
1. speed is 21 miles per hour
speed per minute = 21/60 = 0.35 miles per minute
2. distance covered in 15 minutes = 15*0.35
= 5.25miles