A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point
(6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
I realize that the equation is different, but do it in the same way, it'll help! It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.
What is the ratio of 4 red apples and 3 green apples
Answer:
4:3 8:6 12:9 so on
Step-by-step explanation:
Answer:
4 to 3 or 3 to 4
Step-by-step explanation:
depending on how the question is worded if its red the green then 4 to 3 but if it green to red then its 3 to 4.
1. the smallest composite number is _________
Answer:
hey dear the smallest composite number is 4
Can someone help me ASAP !
Hope this helps! Have a nice day!
help me quys plz, which one is it
Jonathan is building a fence for his chickens. The length of a rectangle is
equal to triple the width. The perimeter(P=2L+2W) is 72 centimeters. What
is the width of the fence?
Answer:
Width = 9
Step-by-step explanation:
(P=2L+2W) = 72
L = 3W<- length is triple the width
(P = 2(3W) + 2W) = 72
P = 8W =72
W = 9
Helppppppppppp with 3 & 4!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3 is b
4 is also b
Step-by-step explanation:
PLEASE HELP ASAP
The graph of which function has an axis of symmetry at x = one-quarter?
A: f(x) = 2x2 + x – 1
B: f(x) = 2x2 – x + 1
C: f(x) = x2 + 2x – 1
D: f(x) = x2 – 2x + 1
Answer:
its A) f(x)= 2[tex]x^{2}[/tex]+x-1
Step-by-step explanation:
Answer: A sounds correct
Step-by-step explanation:
write the formula of mode for grouped data,and explain each term in it.
Answer:
Mode =Li+[f1-f0/2f1-f0-f2] *h
Li=lower limit.
F1= first frequency
F0= upper frequency of first frequency.
F2= second frequency.
H= difference between class intervals.
Hope it is helpful
Parkside High School was having a talent show to raise money. It was x dollars for adults and $8 for students. Stephanie's family had 4 adults and 1 student. Her family paid $48 to see the show. Write an equation for the word problem. Use the variable x and leave no spaces.
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
Given
$x per adult
$8 per student
Population:
[tex]Students = 1[/tex]
[tex]Adults = 4[/tex]
[tex]Total = \$48[/tex]
Required
Determine the equation and solve for x
The system can be analyzed as thus:
The cost for 4 adults is: 4 * x
The cost for 1 students is: 8 * 1
Total Amount is: 48
From the analysis above, the equation is:
[tex]4 * x + 8 * 1 = 48[/tex]
[tex]4 x + 8 = 48[/tex]
Subtract 8 from both sides
[tex]4 x + 8 -8= 48 - 8[/tex]
[tex]4 x= 40[/tex]
Solve for x
[tex]x = 40/4[/tex]
[tex]x = 10[/tex]
8 more than a third of a number
Answer:
8 + 1/3n
Step-by-step explanation:
Given:x-8>-3
Chose the solution set.
1.{x|x€R,x>-5}
2.{x|x€R,x>14}
3.{x|x€R,x>5}
4.{x|x€R,x>-9}
Step-by-step explanation:
x - 8 > -3
x > -3 + 8 (add 8 to both sides)
x > 5
Hence 3.{x|x€R,x>5} is correct.
yaaaa heree ya goo... good luck :D
Answer:
Honestly i dont even know
Step-by-step explanation:
If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?
Answer
2 apples per $1
Step-by-step explanation:
because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar
I don’t understand so please HELPPPPPPPPPPPPPP
Answer:
C
Step-by-step explanation:
Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units lol you get what im saying so the answer is C hope this HELPSS!!
By the way follow my insta. exotic. jaliyah if you need anymore help
The numbers 22 and 35 are relatively prime. TrueFalse
Answer: True
Step-by-step explanation:
Answer:
False They are coprime numbersStep-by-step explanation:
I hope it helps ❤❤A consumer advocate group selects a random sample of 205 snow foods in find 174 of them contain more what is indicated on the snacks nutritional information. Create a 90% confidence interval for the population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information
Answer: (0.809, 0.891)
Step-by-step explanation:
Let p = population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information .
As per given , we have
Sample size : n= 205
Sample proportion: [tex]\hat{p}=\dfrac{174}{205}\approx0.85[/tex]
z-value for 90% confidence = 1.645
Confidence interval for p: [tex]\hat{p}\pm z^* \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]0.85\pm (1.645)\sqrt{\dfrac{(0.85)(1-0.85)}{205}}\\\\=0.85\pm (1.645)\sqrt{\dfrac{0.85\times0.15}{205}}\\\\= 0.85\pm (1.645)\sqrt{0.000621951219512}\\\\=0.85\pm0.041\\\\=(0.85-0.041,\ 0.85+0.041)\\\\= (0.809,\ 0.891)[/tex]
Hence, the required confidence interval = (0.809, 0.891)
If bc+ad=b solve for a
Answer:
Step-by-step explanation:
bc + ad = b
bc + ad/bc = b/bc
ad = b/bc
ad/d = b/bc + d
a = b/bc+d
Factor with the distributive property (no variables)
90+27=
Your answer is 9(10 + 3)
Tell me if you need an explanation
What is the distance between point A and point B? Round to nearest tenth.
Answer:
[tex]d \approx 12.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A (-4, 2)
Point B (8, 6)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(8+4)^2+(6-2)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(12)^2+(4)^2}[/tex]Exponents: [tex]d = \sqrt{144+16}[/tex]Add: [tex]d = \sqrt{160}[/tex]Simplify: [tex]d = 4\sqrt{10}[/tex]Evaluate: [tex]d = 12.6491[/tex]Round: [tex]d \approx 12.6[/tex]What is 23/24 as a decimal rounded to the nearest hundredth?
Answer:
95.80
Step-by-step explanation:
The number 23/24 rounded to the nearest hundredth is 0.96
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be A = 23/24
So , in order to round the number
First we need to find the decimal for of the number A
And ,
A = 23/24
A = 0.9583
And , rounding the number to its nearest hundredth is rounding the number to two decimal places
So ,
A = 0.9583
A = 0.96
Hence , The number 23/24 rounded to the nearest hundredth is 0.96
To learn more about rounding of numbers click :
https://brainly.com/question/4896544
#SPJ5
Graph the solution of the inequality on a number line.
2(x – 3) – 5x
A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
How do you do this for expanding and factoring expressions 8(4x-12)
Answer:
32x - 96
Step-by-step explanation:
Apply the distributed property:
8 × 4x = 32x8 × 12 = 96Re-write the expression: 32x - 96I hope this helps!
Helppppppppppppppppppppppppppppppppppppppp Pleaseeeeeeeeeeeeeeeee
Answer:
2. -1/3x > 12
3. 5+x > 7
4.10-x < 30
5. 2+5x ≤ 3
6.6-2x ≥ 17
8.$400+$49g=$750
at most the enthusiast can buy 7 games along with the player
Step-by-step explanation:
67°
15
h
b
What is the area
Answer:
1005
Step-by-step explanation:
Assuming this is a rectangle, square, or other 4 sided figure, the ft^2 would be 1005
Callum and Isobel have a total of 240 stamps.
The ratio of the number of Callum’s stamps to the number of Isabel’s stamps is 3:8.
Callum buys some stamps from Isabel.
The ratio of the number of Caullum’s stamps to the number of Isabel’s stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.
Answer:
callum bought 78.6 stamps
This is a test my sister made to see how smart I am plz help.
Answer:
16.) second choice: (5,-6)
17.) third choice: (-10) (-8) (-5) (0) (1)
18.) fourth choice: (.18) (0.4) (1/4) (227)
Help i'll give you brainliest
Answer:Step-by-step explanation:
the first one and third one
In only three days the temperature dropped by 24 degrees.How many degrees per day did the temperature drop?
Answer: 8° per day.
Step-by-step explanation:
Based on the information above, since we are informed that in three days, the temperature dropped by 24 degrees, the number of degrees per day that the temperature dropped will be go by dividing 24° by 3 days. This will be:
= 24° / 3 days
= 8° per day