Answer:
(x+3)(x-3)(x+1)(x-1)
Proof:https://www.symbolab.com/solver/step-by-step/x%5E%7B4%7D-10x%5E%7B2%7D%2B9
The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x)=−.15x2+3.2x, where x is the number of feet away from the golf club (along the ground) the ball is.
The ball reaches a maximum height of _______ feet at a horizontal distance of ____
feet away from the golf club it was hit with.
The ball returns to the ground at about ________ feet away.
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Answer:
maximum height of 17.07 feet about 10.67 feet from the club
returns to the ground 21.33 feet away
Step-by-step explanation:
A graphing calculator can answer these questions easily.
The vertex of the quadratic ax²+bx+c is given by x=-b/(2a). For this quadratic function, the highest point is found at ...
x = -(3.2)/(2(-0.15)) = 32/3 = 10 2/3 . . . . feet horizontally from the club
The maximum height is the function value at that point.
h(10 2/3) = (-0.15(10 2/3) +3.2)(10 2/3) = 1.6(10 2/3) = 17 1/15
The ball reaches a maximum height of 17 1/15 feet at a horizontal distance of 10 2/3 feet from the club. The ball's flight is symmetrical about the peak, so it returns to the ground about 21 1/3 feet away.
1. What is the slope of the line
given by the equation
y = 2x +7
Answer:
2
Step-by-step explanation:
kim works from 6 to 11 on friday and saturday evenings at ty’s diner. she gets $4.35 an hour plus tips. her tips were $37.35 on friday and $42.10 on saturday. how much did she earn for the 2 night’s work? _________ how much did she average per hour? ________
Answer:
Friday, total earning:
(11 - 6)*$4.35 + $37.35 = $59.10Saturday, total earning:
(11 - 6)*$4.35 + $42.10 = $63.85Total for the two nights is:
$59.10 + $63.85 = $122.95Average per hour is:
$122.95/(5 + 5) = $122.95 / 10 = $12.30 (rounded)I need help with math
Evaluate the expression x + 23, when x = 17
Answer:
40
Step-by-step explanation:
If we have to evaluate an expression, we spsolve for whatever variable there is, and simplify. Here, we know x is 17, so we can plug it into the original expression.
17 + 23 = 40
which of the following is the quotient of the rational expression shown below? x/3x-1 ÷ x-2/2x
Step-by-step explanation:
[tex] \frac{x}{3x - 1} \div \frac{x - 2}{2x} = \\ = \frac{x}{3x - 1} \times \frac{2x}{x - 2} = \\ = \frac{2 {x}^{2} }{3 {x}^{2} - 7x + 2} [/tex]
help plz with Algebra question I attached a file
Answer:
x=4.63
Step-by-step explanation:
Area = (1/2) (base) (height)
20 = (1/2) (x+4) (x)
40 = x²+4x
x²+4x-40=0
Put in quadratic equation:
x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]
x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]
x=4.63324958071 or x=-8.63324958071
Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63
Question 3(Multiple Choice Worth 4 points) (05.05)The width of a rectangle is shown below: A coordinate plane with a point A at negative 3, 3 and C at negative 3, negative 2. If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C? B(1, 3) and D(1, −2) B(3, 3) and D(3, −2) B(2, 3) and D(2, −2) B(1, 2) and D(1, −3)
Answer:
(3, 3) and D(3, −2
Step-by-step explanation:
Pictures in order !
Answer:X=10
Step-by-step explanation: 3x-2=2x+8 If that's what you're looking for
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Fatoumata sets up a website where players
can buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
126 visitors purchased no costume.
228 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a decimal to the nearest hundredth.
Mk
Answer: 0.59
Step-by-step explanation:
The probability that the next person will purchase exactly one costume is 0.59.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of visitors = 126+228+34 = 388
Total number of visitors who purchased exactly one costume = 228
The probability = 228/388 = 0.587 ≈ 0.59
Thus, the probability that the next person will purchase exactly one costume is 0.59.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
100 POINTS!!
What is the value of x? Enter your answer in the box.
what are irrational numbers
Answer:
hi
Step-by-step explanation:
Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers.
Math 1 Sem 1 1 2.1.5 Quiz: Naming Functions Question 4 of 6 When you read S(h) aloud, you can shorten it to "S of h." O A. True O B. False
Answer: True!
Step-by-step explanation: When you pronounce the function you say it as is. :) Please rate and like thank you.
w-7.1=18.4 what is w?
Answer:
25.5
Step-by-step explanation:
Add 7.1 to each side
[tex]w-7.1=18.4[/tex]
[tex]+7.1[/tex] [tex]+7.1[/tex] add 7.1 on both sides, 7.1s will cancel out on the left side.
___________ solve for 18.4 + 7.1, which is 25.5
[tex]w=25.5[/tex], final answer.
It is reported that 56% of a state is experiencing drought conditions. An agricultural researcher randomly selects ten farmers in the state and asks if their farms are experiencing drought. What is the expected number of farmers who have experienced drought? Find the standard deviation.
Answer:
I think your answer would be 5.6
Step-by-step explanation:
56% of 10 = 5.6
Please help me figure out this math problem
Answer:
r3
Step-by-step explanation:
r
Please please help please
Answer:
6 times larger
Step-by-step explanation:
First, find the area of both.
Mary: 4*5.5=22
Lisa: 24*5.5=132
Then find what multiplied by 22 would equal 132. This is easy because it's a multiple-choice question.
22*20=440, so A is incorrect
We already know they are not equal, so then B can be crossed out
22*3=66, C would be incorrect
Leaving the only choice left to be the correct answer
22*6=132
Write the number 8.7 x 10^-6 in standard form.
help me please with this
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Answer:
8. CE
9. b) no
10. 22
Step-by-step explanation:
8. The smallest side is opposite the smallest angle (D=58°). The smallest side is CE.
__
9. The sum of the shortest sides must exceed the longest side.
1 + 2 > 5 . . . . NOT TRUE -- no triangle can be formed
__
10. The possible lengths of the third side range between the difference and the sum of the given sides. If that length is x, then we must have ...
15-8 < x < 15+8
7 < x < 23
The largest integer value of x is 22. The third side can be at most 22.
(2z+2)(z^2+z–2) please help
Answer:
2z^3+4z^2-2z-4
Step-by-step explanation:
Distribute
2z^3+2z^2-4z+2z^2+2z-4
Simplify
2z^3+4z^2-2z-4
Two angles in a triangle are 30 degrees and 40 degrees. Find the missing angle measure. Please show your math work step by step and don't forget the unit. 40° 30
Answer:
110
Step-by-step explanation:
Hello There!
If you didn't know the rule about angles in a triangle is that they have a sum of 180
So we can find the measure of the missing angle by subtracting the given angles (in this case 30 and 40) from 180
so the missing angle = 180 - 30 - 40
180 - 30 = 150
150 - 40 = 110
so the missing angle = 110
6 = 14 - x
One step equations review
Answer:
x = 8
Step-by-step explanation:
6 = 14 - x
chance the equation around so it is solvable
14 - x = 6
14 - 6 = x
now solve
14 - 6 = 8
that means x equals 8 so
6 = 14 - 8
Answer:
x=8
Step-by-step explanation:
To solve for x...
6 = 14 - x
Subtract 14 from both sides
6 - 14 = - x
Simplify
- 8 = - x
divide the - symble out of both sides to get x alone
x = 8
Please please help please
Answer:
Greater Than [The second choice]
Step-by-step explanation:
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.
What are the solutions to the attached equation?
Answer:
x = -6, 1
Step-by-step explanation:
x=[tex]\frac{-5+\sqrt{49} }{2}[/tex] or x= [tex]\frac{-5-\sqrt{49} }{2}[/tex]
x=[tex]\frac{-5+7}{2}[/tex] or x=[tex]\frac{-5-7}{2}[/tex]
x=2/2 or x=-12/2
x = 1, -6
howdy!!
yr answer is B. x = -6, 1
goodluck on edge!! ^_^
In 2010, the population of a town was 14,000 people. The population decreased at a rate of 10% per year. What will the population be in 2016? Round to the nearest whole number.
Answer:
to me I think it is 35555 good luck
Amal had a birthday part at the movies. It costs $30 for pizza and $7.50 per friend for the movie tickets. How many friends can Amal have at her party if she has $100?
1) Write an equation that matches this scenario.
2) Define the variable. (What variable are you using and why?)
3) Solve the equation.
Answer:
$100 or y = 7.5x + 30
I used x as it represents the cost of each friend and can be used to solve the total number of friends possible.
She can have 9 friends at her party
Step-by-step explanation:
y = 7.5x + 30
Total Amount + Cost per Friend + Total Cost of Pizza
100 = 7.5x +30
subtract 30 from each side
70 = 7.5x
divide each side by 7.5
9.33 = x
Always round down to the nearest whole in human examples!
A group of neighbors is holding an end of summer block party. They buy p packs of hot dogs, with 8 hot dogs in each pack. All together, they have 56 hot dogs for the party. Write an equation to describe this situation. How many packs of hot dogs did the neighbors buy?
Answer:
8 * X = 56
Step-by-step explanation:
8 * X = 56
How bad is the heavy traffic? You can walk 15
miles in the same time that it takes to travel 30
miles by car. If the car's rate is 2 miles per
hour faster than your walking rate, find the
average rate of each.
Answer:
Average rate of car: x+3
Walking rate: x
The equation is
10/15 = x/x+3
So
x = 6
So
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Answer:
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
After eating at the restaurant, Sam, Jason, and Joan decided to divide the bill evenly. If each person paid x dollars, what was the total of the bill ?
Answer:
I need numbers ??
Step-by-step explanation:
the total bill will be divided by three
Answer:
x+x+x=3x
Each paid x dollars
Answer = 3x
Step by step explanation please
Step-by-step explanation:
of what where is the question