Answer:
The function that models the total number of visitors at both parks each hour after sunrise: [tex]\mathbf{T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5}[/tex]
Option B is correct.
Step-by-step explanation:
Function for West Park: A(X) = [tex]-0.68x^3 + 7.05x^2 + 3.25x[/tex]
Function for East Park: B(x) = [tex]-2.08x^2 +22x+ 5[/tex]
We need to find the function that models the total number of visitors at both parks each hour after sunrise?
For finding total number of visitors we need to sum functions of A(X) and B(X) to get T(X)
So, we have
[tex]T(X)=A(X)+B(X)\\T(X)=-0.68x^3 + 7.05x^2 + 3.25x+(-2.08x^2 +22x+ 5)\\T(X)=-0.68x^3 + 7.05x^2 + 3.25x-2.08x^2 +22x+ 5\\Combining like terms\\T(X)=-0.68x^3+7.05x^2-2.08x^2+3.25x+22x+5\\T(X)=-0.68x^3+4.97x^2+25.25x+5[/tex]
So, function that models the total number of visitors at both parks each hour after sunrise: [tex]\mathbf{T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5}[/tex]
Option B is correct.
Answer: For plato family
B. T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5
Step-by-step explanation:
I just took the test
I need help again! :)
Answer:
Fraction: x= 4/5
Decimal: x= 0.8
Mr. Roy was creating bundles for his classes. He had 20 pencils, 80 pens and 55 markers.
He wanted each bundle to contain the same number of pencils, pens and markers.
a) What is the largest number of bundles he could create without any left over?
Answer:
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
Step-by-step explanation:
Pencils = 20
Pens = 80
Markers = 55
a) What is the largest number of bundles he could create without any left over?
Find the highest common multiple of 20, 80 and 55
20 = 1, 2, 4, 5, 10, 20
80 = 1, 2, 4, 5, 8, 10, 16, 20......
55 = 1, 5, 11, 55
The highest common multiple of 20, 80 and 50 is 5
Pencils = 20 / 5
= 4
Pens = 80 / 5
= 16
Markers = 55 / 5
= 11
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
please help me asap!
Answer:
It means that it takes 2/3 hours to mow 1 lawn
Step-by-step explanation:
When loaded with bricks, a lorry has a mass of 11600kg. If the mass of the bricks is three times that the mass of the empty lorry, find the mass of the bricks.
Answer:
8700kg
Step-by-step explanation:
lorry + bricks = 11600kg
bricks = 3(mass of empty lorry)
lorry mass is x
there for bricks = 3x
x+3x = 11600
4x =11600
x= 2900kg
mass of bricks = 3(2900)
=8700kg
у = 4х – 1
у = 2х – 5
How do you solve this, by using substitution?!
Answer:
x = -2, y = -9
Step-by-step explanation:
You can substitute the value of y into y. The first equation shows that y is equal to 4x -1, so we can switch this with the y in the second equation.
y = 2x -5 will become
4x - 1 = 2x - 5
Add 5 to both sides
4x + 4 = 2x
Subtract 4x from both sides
4 = -2x
Divide both sides by -2
-2 = x
Now we plug this number into an equation to find y.
y = 4x - 1 becomes
y = 4(-2) - 1
Simplifying it, we have:
y = -8 - 1
y = -9
can someone pls help me w this
Help me Asap plsss help me
Answer:
(5, 6)
Step-by-step explanation:
We can first find the midpoint by adding the two y values and dividing them by 2
3 + 9 = 12. 12/2 is 6. (2, 6) is the midpoint.
2 units to the right is on the x value, so 2+3 is 5. Put it all together and;
(5, 6)
26% of a value is £65 work out the original value
Answer:
£250
Step-by-step explanation:
65 divided by 26 and multiplied by 100
A Student bought concert tickets online. The total cost, c, in dollars of t tickets can be found by using the function below
c=12.45t+7.20
If the student spent a total of $57 on tickets, how many tickets did they buy?
Answer:
4
Step-by-step explanation
57-7.20=49.8, 49.8/12.45 = 4
Answer: 4
Step-by-step explanation:
c= 12.45t +7.20
57 = 12.45t +7.20
Solve for t
57 -7.20 = 12.45t
49.8 =12.45t
49.8 / 12.45 = t
t = 4
Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply. Substituting a value into the inequality from the solution set, such as –2, will create a true statement. Substituting a value into the inequality from the solution set, such as 1, will create a false statement. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement. Substituting any value into the inequality will create a true statement.
Answer:
First and fourth statements are correct
Step-by-step explanation:
The function is [tex]|x+3|<5[/tex] where the domain is [tex]-8<x<2[/tex]
[tex]|-2+3|=1<5[/tex]
The first statement is correct.
[tex]|1+3|=4<5[/tex]
Substituting a value into the inequality from the solution set, such as 1, will create a false statement. This is wrong as it creates a true statement.
[tex]|4+3|=7\nless 5[/tex]
Substituting a value into the inequality not from the solution set, such as 4, will create a true statement. This is wrong as a value which is not from the solution set will create a false statement.
[tex]|6+3|=9\nless 5[/tex]
Substituting a value into the inequality not from the solution set, such as 6, will create a false statement. This is correct.
[tex]|10+3|=13\nless 5[/tex]
Substituting any value into the inequality will create a true statement. This is wrong as the value of x must be in the solution set.
Answer:
1.) Substituting a value into the inequality from the solution set, such as –2, will create a true statement.
4.) Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
Help:)) please!! Thank you
Answer:
10
Step-by-step explanation:
For every 4 you get 20. So that is 1 to 5.
So if you have 2 to ? It would be 2 times 5 or 10.
Does this make sense?
Please help i give brainest
Answer:
15
Step-by-step explanation:
E is 10 plus the 5
Plz help in my last question
Answer:
where is the question, lady?
Answer:
Where is the question??
Steve solved the equation 8(2x + 7) = 6(x - 7) - 2 as shown below.
Unfortunately, Steve did make an error.
Which step shows Steve's error?
Type in your answer as just the number, i.e. 5
Them show the correct steps for solving this problem. Show your work.
The value of x is -10. Steve made mistake in step 3 while transposing constant term and simplify.
The given equation is 8(2x + 7) = 6(x - 7) - 2.
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 =.
The given equation can be solved as follows:
8(2x + 7) = 6(x - 7) - 2
⇒ 16x+56 = 6x-42-2
⇒ 16x+56 = 6x-44
⇒ 16x-6x = -44-56
⇒ 10x = -100
⇒ x = -10
Therefore, the value of x is -10. Steve made mistake in step 3 while transposing constant term and simplify.
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mathamatics 30 points last question for the day
Answer: 15,048
Step-by-step explanation:
Triangle ABC,AB=BC=AC=A find A
Answer:
180/3 = 60
Step-by-step explanation:
Please answer quickly its a test and i need to get a good grade on it, will give brainliest
What was an important impact of the Louisiana Purchase?
A. The land size of the United States was doubled and vast new resources were acquired.
B. The United States was pushed into a long, costly war with the Indian tribes in the territory.
C. The United States became a major world power rivaling Great Britain in wealth and influence.
D. The people of the United States began an immediate land rush into the territory to form new states.
I think the answer is A because it I'm right it did double the size.
Can you please ans quicklyyy
Complete the sentence below using one of the words. 'Power, Base, Exponent'
The number 1,000,000 is a(n) ______ of 10
The number 1000000 is a 6 power of 10
Given,
The number = 1000000
Then,
[tex]10^{x}[/tex]= 1000000
[tex]10^{x}=10^{6}[/tex]
x=6
Hence, the number 1000000 is a 6 power of 10
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What is the image of the point (-1,-3) after a rotation of 90 ∘ counterclockwise about the origin?
Answer:
(-3,1)
Step-by-step explanation:
Two players sangeta and reshma play a tennis match . It is known that the probability of sangeeta winning the match is 0.62 what is the probability of reshma winning the match ?
Answer:
0.38%
Step-by-step explanation:
since if u take 1 whole - by 0.62 it equals = 0.38%
Plz mark as brainliest :)
HELP HELLLLLLLLLLLLLLLLLLP URGENT FASSSSSST
Answer:
I do not know
Step-by-step explanation:
What is 16 percent of 4?
Answer:
0.64
Step-by-step explanation:
% besically means out of 100 so:
16/100 times 4
64/100
0.64
Andre’s group was asked to write an expression equivalent to 5 p squared q + 7 p q squared minus 10. When Ms Berger checked their answers, she found only one to be correct. Who had the correct answer?
Andre’s Group
Student
Equivalent Expression
Andre
7 p squared q + 7 p q squared minus 1 minus 2 p squared q minus 9
Jill
5 p squared q + 2 p q squared minus 6 + 5 p q squared minus 3
Anuj
4 p squared q + 7 p q squared minus 7 + 2 p squared q minus 3
Marsha
5 p squared q + 5 p q squared minus 10 + 3 p q squared
Andre
Jill
Anuj
Marsha
Answer:
Andre
7 p squared q + 7 p q squared minus 1 minus 2 p squared q minus 9
Step-by-step explanation:
5 p squared q + 7 p q squared minus 10.
5p²q + 7pq² - 10
7 p squared q + 7 p q squared minus 1 minus 2 p squared q minus 9
7p²q + 7pq² - 1 - 2p²q - 9
5p²q + 7pq² - 10
Jill
5 p squared q + 2 p q squared minus 6 + 5 p q squared minus 3
5p²q + 2pq² - 6 + 5pq² - 3
5p²q + 7pq² - 9
Anuj
4 p squared q + 7 p q squared minus 7 + 2 p squared q minus 3
4p²q + 7pq² - 7 + 2p²q - 3
6p²q + 7pq² - 10
Marsha
5 p squared q + 5 p q squared minus 10 + 3 p q squared
5p²q + 5pq² - 10 + 3pq²
5p²q + 8pq² - 10
The correct answer is:
Andre
7 p squared q + 7 p q squared minus 1 minus 2 p squared q minus 9
7p²q + 7pq² - 1 - 2p²q - 9
5p²q + 7pq² - 10
Answer:
Its andre, Plz give the other guys brainly
Step-by-step explanation:
I don't know how to find the slope of the line
what is [tex]\frac{x}{3} +10=x+2[/tex]
[tex]\frac{x}{3}+10=x+2[/tex]
Multiply whole equation by 3 to get ride of the denominator.
[tex]\frac{x}{3}(3)+10(3)=x(3)+2(3)\\x+30=3x+6[/tex]
[tex]30-6=3x-x[/tex]
Move x to the another side and subtract as 6 to another side and subtract.
[tex]24=2x[/tex]
Then we move 2 to divide 24.
[tex]\frac{24}{2}=x\\x=12[/tex]
Therefore, the answer is x = 12.
What is the solution to the equation –3.5(x + 12) = –2x + 18?
Answer:
x = -4.36364
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3.5(x + 12) = -2x + 18
Step 2: Solve for x
Distribute 3.5: 3.5x + 42 = -2x + 18Add 2x on both sides: 5.5x + 42 = 18Isolate x term: 5.5x = -24Isolate x: x = -4.36364Answer:
The answer I arrived at was x = -4.364
Step-by-step explanation:
3.5(x + 12) = -2x + 18
=> multiply 3.5 by everything in parenthesis
3.5x + 42 = -2x + 18
=> subtract 18 from both sides
3.5x + 24 = -2x
=> subtract 3.5x from both sides
24 = -5.5x
=> divide both sides by -5.5
-4.364 = x
if there is a matrix, which is 3x8, and 3 columns are linear dependent, then can it be full rank? if not, what rank is it?
The matrix 3 x 8 is a full rank matrix.
Matrix:
Matrix are a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.
Full rank matrix:
The rank of a matrix is the maximum number of its linearly independent rows.
Based on that, A full rank matrix is one which has linearly independent rows or/and linearly independent columns.
Given,
There is a matrix, which is 3x8, and 3 columns are linear dependent
Her we need to check whether the matrix is full rank or not.
We know that, the matrix is 3 x 8,
And 3 column are linear dependent,
Based on the following condition,
An m×n matrix with m<n , then it has full rank when its m are linearly independent.
So, the given matrix 3 x 8 is the full rank matrix.
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HELP!The equation 21+0.25p=c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. Use the equation and a table to find the weight of an appliance that costs $56 to deliver.
Answer:
35
Step-by-step explanation:
Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes. After about how many hours does the company break even? Note: The phrase break even refers to the value where the two functions are equivalent.
Answer:
5 hours
Step-by-step explanation:
Given
[tex]y = 420 + 72x[/tex] --- Revenue
[tex]y = 24x^2 + 180[/tex] --- Overhead cost
Required
Determine the hours for break even
To do this, we simply equate both expressions as follows:
[tex]24x^2 + 180 = 420 + 72x[/tex]
Collect Like Terms
[tex]24x^2 - 72x + 180 - 420 = 0[/tex]
[tex]24x^2 - 72x -240 = 0[/tex]
Divide through 24
[tex]x^2 - 3x - 10 = 0[/tex]
Expand:
[tex]x^2 -5x + 2x -10 = 0[/tex]
Factorize:
[tex]x(x -5) + 2(x -5) = 0[/tex]
[tex](x + 2)(x -5) = 0[/tex]
[tex]x + 2 = 0\ or\ x - 5 = 0[/tex]
[tex]x = -2\ or\ x = 5[/tex]
But x can't be negative because it represents time.
So, x = 5 hours