Step-by-step explanation:
[tex]y = (x + 3) {(x - 4)}^{2} [/tex]
Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.
A.
Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.
B.
Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.
C.
Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.
D.
Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.
It's on Gradpoint
Answer:
D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.
Step-by-step explanation:
Runner A:
Time it takes for him to finish:
t = 26.2/5.6 = 4.679 hours (to complete race)
.
Runner B:
Time it takes for him to finish:
t = 26.2/6.4 = 4.094 hours
BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.
t = 4.094 + .5 = 4.594 hours
Two plumbers charge an initial fee and an hourly rate.
The equation y = 100 + 30x models plumber A's fee, where y is the total charge, in dollars, and x is the number of
hours worked
The table shown represents plumber B's total charge for different numbers of hours.
Plumber B
Hours Total Charges ($)
1
105
2.
160
3
215
2.
Part A: Which plumber charges more money per hour? Explain how you know.
Part B: Which plumber charges a higher initial fee? Explain how you know.
Part C: Which plumber charges less money for working 5 hours? Show your work to justify your answer.
Answer:
A) Plumber B charges 55 dollars per hour (105=50+55(1)) because for 1 hour the total is 105, meaning that 105 is y and 1 is x. 50+55=105
B) Plumber A charges more because he charges 100 dollars vs Plumber B's 50 dollars.
C) Plumber A: 250=100+30(5) Plumber B: 325=50+55(5)
Plumber A charges less money for working 5 hours.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that,
Two plumbers charge an initial fee and an hourly rate.
The equation y=100+30x -----(I) models plumber A's fee, where y is the total charge, in dollars, and x is the number of hours worked.
Part A:
From the table, we have (1, 105) and (2, 160)
Now, m=(160-105)/(2-1)
= 55
Substitute m=55 and (x, y)=(1, 105) in y=mx+c, we get
105=55(1)+c
c=60
Substitute m=55 and c=60 in y=mx+c, we get
y=55x+60 -----(II)
By comparing (I) and (II), we can conclude that plumber B charges more hourly fee.
Part B: By comparing (I) and (II), we can conclude that plumber A charges more initial fee.
Part C: Substitute x=5 in y=100+30x, we get
y=$250
Substitute x=5 in y=55(5)+60, we get
y=$335
Plumber A charges less money for working 5 hours.
Therefore, plumber A charges more initial fee.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
what is the answer ?
Answer:
4
......................
The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.
Answer:
D. a rectangle
Step-by-step explanation:
slope is soo confusing.. but if anyone down to help me
Answer:
-2/2 or simplify to =-1
Step-by-step explanation:
you use rise over run. you may use an exact formula (y2-y1)/(x2-x1) by picking 2 y values and 2 x values on the graph and subtracting the values.
PLEASE HELP
The picture below shows a loading platform that extends out 6 feet from the back of a truck. What is the exact length of the platform?
Answer:
really easy its 180
Step-by-step explanation:
because you multiply 30 times 6 u get 180
Answer:
5.2 ft
Step-by-step explanation:
[tex] \cos 30 \degree = \frac{6}{length \: of \: platform} \\ \\ \frac{ \sqrt{3} }{2} = \frac{6}{length \: of \: platform} \\ \\ length \: of \: platform = \frac{2 \times 6}{ \sqrt{3} } \\ \\ length \: of \: platform = \frac{12\sqrt{3} }{ 3} \\ \\ length \: of \: platform =4 \sqrt{3} \\ \\ length \: of \: platform =4 \times 1.732 \\ \\ length \: of \: platform = 5.228 \\ \\ length \: of \: platform = 5.2 \: ft[/tex]
Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *
a,38.29
b.27.29
c.0.55
d.0.45
Lehana and Marty each opened a savings account with a deposit of $100.
● Lehana earned 2.5% simple interest per year.
● Marty earned 2% simple interest per year.
● Neither of them made additional deposits or withdrawals.
How much more did Lehana receive in interest than Marty after three years?
Answer:
100*.025*3=7.5 100+7.5=107.5
100*.02*3=6 100+6=106
107.5-106=1.5
$1.50
Step-by-step explanation:
thats it
Simplify (4x-1)+(-6x+3)
Answer:
2x-4
Step-by-step explanation:
Combine like terms to get your awnser
Step-by-step explanation:
Ur wlcm!
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Answers the question please
Answer:
I would say (B) 14,55
Step-by-step explanation:
Please help!
Is this graph a function or not?
Answer:
its not a function
Step-by-step explanation:
lets try this again can someone help
Answer:
Step-by-step explanation:
First expand into [tex]\left(x^2-9\right)\left(3x+2\right)[/tex]. Then expand again to[tex]3x^3+2x^2-27x-18[/tex]
The equation a= 13 25p models the relationship between the pounds of topsoil and the area covered in square feet. Determine the pounds of topsoil Caleb needs to order to cover an area of 169one hundred sixty nine square feet.
Answer:
Pounds of topsoil needs to order to cover an area of 169 square feet is 0.1275
Step-by-step explanation:
GIVEN: relation between the pounds of topsoil and area covered is ( a = 1325 p )
a represent area and b represent pounds of topsoil
To Find : pounds of topsoil needs to order to cover given area .
Solution : since here relation is given
a = 1325 p
value of a = 169 square feet
so putting the value of a in above relation
so , 169 = 1325 p
p = 169 / 1325 = 0.1275
So , pounds of topsoil needs to order to cover given area is 0.1275
Answer:
0.1275
Step-by-step explanation:
Hope this helps
Find the coordinates of the vertex of the following parabola algebraically.
Write your answer as an (x, y) point.
y = x2
Answer:
I have no idea what it is sorry
find the are of this rectangle write answer in simplest form
Answer:
9 7/9 0r 88/9
please help me !!!!!
Answer:
The answer is A
Step-by-step explanation:
So there are 12 game pieces 4 pieces are the colors he wants so the fraction would be 4/12 and if u simplify the faction you'll get 1/3
3000 people own a car, 1650 said they would buy it again, what percent of the people surveyed were satisfied with the car
Please help thanks I’m so confused
Answer:
64.93=4.73x+22.36
Step-by-step explanation:
64.93 is how much he paid
22.36 is his constant
4.73 is for 1 call
What is the solution of x-7= ir+14,
O A.
I=-6
B.
=6
OC.
I=8
OD.
r =12
Answer:
x=12
Step-by-step explanation:
put the x at one side and the numbers ar the other
5/2x-3/4x=14+7
10/4x-3/4x=21
7/4x=21
7x=84
x=12
For the function f(x) = - 3x + 7 f(- 8) = _
f(-8) = (Simplify your answer)
help plz plz will mark brainliest
Answer:
x = 52°
Acute angle = 64°
Step-by-step explanation:
Problem 1:
Since DN bisects <BDW, this means that m<BDN = m<NDW
Thus:
5v - 8 = 4v + 4
Collect like terms
5v - 4v = 8 + 4
v = 12
x = m<BDN = 5v - 8
x = 5v - 8
Plug in the value of v
x = 5(12) - 8
x = 52°
Problem 2:
First, find the value of y
(4y - 44) + (3y + 35) = 180 (linear pair)
4y - 44 + 3y + 35 = 180
7y - 9 = 180
7y = 180 + 9
7y = 189
Divide both sides by 7
y = 27
Acute angle = 4y - 44
Plug in the value of y
Acute angle = 4(27) - 44 = 64°
Is it in scientific notation? Answer Yes or No
i. 32.7x107
ii. 0.72x10-8
iii. 5.4EE7
iv. 9.7x104
Answer:yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
What is the missing number in this pattern?
0, 7, 26, 63, 124, 215, 342, __
GIVING 50 points
FIND THE VALUE OF X
PLEASE HELP WITH WORK AND STEPS SHOW THANK YOU
Answer:
Step-by-step explanation:
1. 10^2+7^2=x^2
x=sqrt(149)
2. 21^2-19^2=x^2
x=sqrt(80)
3. This is all pythagorean theorem busywork, a^2+b^2=c^2 where c is the hypotenuse of the triangle. I think from my examples you should be able to figure the rest out.
Help me with number 1 please
express the ratio in its simplest form 12cm to the 2nd power :3m to the 2nd power
Answer:
16:1
plz brainliestt
Step-by-step explanation:
144 : 9
Answer:
16:1
Step-by-step explanation:
Solve this triangle using the law of sines
Answer:
answer is 6√3
it's right answer
:-))
Please helpppp........,
There are 50 cups of water in 10 gallon of water what is the total number of cups of water in 1/4 gallon of water? HELP ASAP
Answer:
there would be 20
Step-by-step explanation:
Answer:
1.25 cups
Step-by-step explanation:
50 / 10 = 5
that means there are 5 cups in 1 gallon
5 / 4 = 1.25
So there are 1.25 or as a fraction 1 1/4 cups in 1/4 of a gallon of water
HELP ME WORTH 100 POINTS AND BRAINLIST IF RIGHT
Answer:
Id say 60 since its gonna have to be lower than 90. A I did no math but that seems to be here the answer
Step-by-step explanation:
the answer to your question is A. 60