Answer:
Second puck travels farther
Step-by-step explanation:
Maximum height of first puck = 3 feet
The height of a second hockey puck is modeled by:
[tex]y=x\left(0.15-0.001x\right)[/tex]
[tex]y=0.15x-0.001x^2[/tex]
To find maximum height of second puck
[tex]y'=0.15-0.002x[/tex]
Equate the derivative equals to 0
0.15-0.002x=0
[tex]\frac{0.15}{0.002}=x[/tex]
75 = x
At x = 75
[tex]y=0.15(75)-0.001(75)^2=5.625[/tex]
So, The maximum height of second puck is greater than first puck
So, Second puck travels farther
Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.
Answer:
x times 8 I'm pretty sure
At the local coffee shop, they sell a reusable mug for $6. If you use the mug for a refill, the refill costs $1.30. Last month Jason spent $29.40 for the mug and refills. Which equation can be used to determine the number of refills, r, Jason purchased last month?
Answer:
r = 18
Step-by-step explanation:
6 + 1.30r = 29.40 [write out the equation]
-6 -6 [subtraction property of equality]
1.30r = 23.40
___ ____ [division property of equality]
1.30 1.30
r = 18
I hope it helps :)
Answer:
6 + 1.30r = 29.40
Step-by-step explanation:
In a year, there are 4 months that have 30 days.
What is the ratio of the months with 30 days to the months with other than 30 days?
A. 2 to 1
B. 1 to 3
C. 1 to 2
D. 3 to 1
Answer:
D=3 to 1
Step-by-step explanation:
12/4=3/1
Answer:
D
Step-by-step explanation:
I got it wrong before by 1 to 3
but it is 3 to 1 :(
2. Choose 3 integers less than or equal to 8?
a). x = 8,9,10
b). x =-3,0,10
c), x = 0,1,8
d) x = 2,3,9
Answer:
c
Step-by-step explanation:
because 8 is equal to 8. 0 and 1 are less than 8.
A rectangular garden is fenced on all sides with 234 feet of fencing. The garden is 5 feet longer than it is wide. Find the length and width of the garden.
Answer:
The width in only one side is 56ft and in both it is 112ft. The length in only one side is 61ft and in both sides it is 122ft.
Step-by-step explanation:
A record store was selling 3 used CD's for $12.51.
Online you
could buy 5 used CD's for $20.70.
Which place has a lower unit price?
Answer:
Answer: Online
Step-by-step explanation:
Find the unit price
(multiply 12.51 and 20.70 by 100 to make it easier to divide)
12.51 divided by 3 = 417
20.70 divided by 5 = 414
Hope this helps!
How can you translate a verbal sentence into an algebraic equation? Explain.
Sample answer: First you should identify the , 1 of 4.
Select Choice
quantity or quantities for which you are trying to solve, and assign , 2 of 4.
Select Choice
. Then you should look for key words or phrases that can help you to determine , 3 of 4.
Select Choice
that are being used. You can then write the , 4 of 4.
Select Choice
using the numbers that you are given and the variables and operations that you assigned.
The mathematical expressions are given as
1 of 4 = 1 x 4
2 of 4 = 2 x 4
3 of 4 = 3 x 4
4 of 4 = 4 x 4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
In the verbal sentence, the meaning of using of indicates the multiplication of numbers.
The mathematical expressions will be used as:-
1 of 4 = 1 x 4
2 of 4 = 2 x 4
3 of 4 = 3 x 4
4 of 4 = 4 x 4
To know more about an expression follow
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Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be
Answer:
2 1/2 per piece
Step-by-step explanation:
simpfly by dividing [-5/8] divided by [-3/4]
Answer:
-5/-6
Step-by-step explanation:
you just need to flip the second one around and multiply across afterwards
Identify the slope and y- intercept of the linear equation.
y = -2x + 5
Slope:
y-intercept:
Answer:
Slope= -2
y-intercept= 5
Step-by-step explanation:
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
m greater-than StartFraction 49 Over 12 EndFraction
Answer: m> 49/12
Step-by-step explanation:
The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.
The graph is a parabola with the minimum where x= -b/2a = -7/6.
To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.
3(49/36) - 49/6 + m < 0
49/12 - 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The equation of the graph:
y = 3x² + 7x + m
If the above quadratic function has two x-intercepts that means:
D > 0
b² - 4ac > 0
On comparing:
a = 3
b = 7
c = m
7² - 4(3)(m) > 0
49 - 12m > 0
12m < 49
m < 49/12
Or
m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts
Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
Learn more about quadratic equations here:
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In the winter, a town has a low of -5°F. In
the summer, the same town has a high of
98°F. What is the difference in temperature?
[? ]°F
Answer:
-5f is lower than summer 98°f
Step-by-step explanation:
n the winter, a town has a low of -5°F. In
the summer, the same town has a high of
98°F. What is the difference in temperature?
List the names and measures for pairs of alternate Interior angles. Group them together. Then list the names and measures for pairs of alternate
exterior angles.
Answer:
The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.
mCHG = mHGB = 48.81°
mDHG = mHGA = 131.19°
The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.
mEHC = mBGF = 131.19°
mEHD = mAGF = 48.81°
Step-by-step explanation:
STRAIHGT FROM PLATO BOOOOIIIIII
Can someone help me with number 12 ASAP please
Answer:
[tex]x > 1[/tex]
x is greater than 1
multiply the polynomials below. SHOW ALL WORK
(x−7)(2x−5)
whole numbers are _____ Intergers
Answer:
I believe the answer is positive
Step-by-step explanation:
There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers
What is the equation in point slope form for a linear function with a slope of m=−4 that passes through the point (2,−7)?
Answer: y+7=-4(x-2)
Step-by-step explanation:
point slope formula is y-y1=m(x-x1)
it gives you m = -4
(x1,y1) = (-1,-7)
y-(-7) = -4(x-2)
negative of a negative number is positive
y+7=-4(x-2)
you leave that as your answer because thats what point slope for is
its in that form ^
The equation in point slope form for a linear function is [tex]y=4x+15[/tex]
Given the following points:
Points on the x-axis = 2 Points on the y-axis = -7 Slope, m = -4
To write an equation in point slope form for a linear function:
The standard form of an equation of line is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex]
Where:
x and y are the points. m is the slope.Substituting the given parameters into the formula, we have;
[tex]y-(-7)=-4(x-2)\\\\y+7=4x-8\\\\y=4x-8+7\\\\y=4x+15[/tex]
Read more: https://brainly.com/question/18123312
Pls help due tonight, I just found the assignment !
Will give brainly for the correct answer
Answer:
1) slope is -1/3
2) slope is 3 or 3/1
3)slope is -3/2
4)slope is3/2
5)slope is 5/3
6)slope is 7/3
Step-by-step explanation:
find the mean of the given data 8,7,5,9,6,13
The mean of the data is 8.
Mean :Given data are,
[tex]8,7,5,9,6,13[/tex]
Mean is computed as divide the sum of all data by total number of data.
Sum of all the data[tex]=8+7+5+9+6+13=48[/tex]
Number of data[tex]=6[/tex]
[tex]Mean=\frac{48}{6}=8[/tex]
Learn more about the mean here:
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Solve: 3(2x + 4) = 5x - 2
Answer:
= -14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(2x+4)=5x−2
(3)(2x)+(3)(4)=5x+−2(Distribute)
6x+12=5x+−2
6x+12=5x−2
Step 2: Subtract 5x from both sides.
6x+12−5x=5x−2−5x
x+12=−2
Step 3: Subtract 12 from both sides.
x+12−12=−2−12
x=−14
solve this please thankyou
Answer:
second option
Step-by-step explanation:
The left side has a solid circle at - 3 indicating x can equal - 3 denoted by ]
The arrow points left to - ∞
The right side has an open circle at - 1 indicating x cannot equal - 1 denoted by )
The arrow points right to ∞
The feasible region is the union of the 2 parts, that is
( - ∞, - 3 ] U (- 1, ∞ )
whats 105 to the power of 20 pls help its big question
Answer:
lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40
Step-by-step explanation:
Answer:
2.65329771×10 to the power of 40
Step-by-step explanation:
Use scientific notation to get the simplest answer
What is the solution to the linear equation?
4b + 6 = 2 – b + 4
Answer:
b = 0
Step-by-step explanation:
Subtract 6 from both sides:
4b = 2 - b - 2
Subtract 2 from two, and get 0.
4b = -b
this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.
Writing proportional equations from tables
CCSS.Math: 7.RP.A.2
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The following table shows a proportional relationship between j and m?
j
m
4
3
12
9
20
15
Write an equation to describe the relationship between j and m.
Answer:
4+12+20=j
3+9+15=m
j(answer) + m(answer)
Step-by-step explanation:
In a small library , there are 5 nonfiction books for every 9 fiction books There are 130 a . How many fiction books are there ?
Answer: 234
Step-by-step explanation:
If there are 130 nonfiction books, then there are 234 fiction books
solve the equation
v-9 =14
Answer:
the answer for this euqation is 23
Step-by-step explanation:
Answer:
or,v=14-9 ...v=5,so v=5
You and three friends went shopping. All of you
bought the same shirt and pants except you did not
buy the pants for $12. The total was $92. Write an
equation to determine how much each of your
friends paid for their outfit.
I have till 2 and I need help
Answer:
(12 * 4) + 4x / 4
Step-by-step explanation:
. A car travels 605 miles in 11 hours. What is the average number of miles traveled per hour?
Answer:
55 miles per hour
Step-by-step explanation: You divide by the speed
605 miles/ (55 miles per hour)= 11 hours
hope this helped
SAT Scores SAT Scores Group 1 Group 2 1520 1510 SAT Scores Group 3 SAT Scores Group 4 1620 1480 1630 1480 1700 1570 1480 2100 1520 1400 1580 1800 1510 1800 1400 1300 1530 1930 1300 1250 1430 2150 1700 1400 2000 1340 1610 1430 1800 1580 1580 1390 1410 1530 1520 1520 1390 1610 The SAT scores of 4 groups of 10 students are shown. Which group has the greatest range? A) Group 1 B) Group 2 Group 3 D) Group 4
Answer:
Group 4
Step-by-step explanation:
Group 4 is the only group that has any numbers. And Group 2 the range is not big at all.
Was this the question or did you make a mistake with the numbers?
Nate sees toys at the toy store. He sees more than 200 toys, but fewer than 300. How many toys could Nate see? Draw to show the number. Write the number in different ways.
Answer:
250?
Step-by-step explanation:
I Don't Know If It's 250 because 250 Is Half Of 200, And Half Less Of 300, So I Guess It's 250? I Think I'm Wrong!