The table below shows the number of cruise ships in a harbor on various days.
(table pic attached)
a. Write an expression for the total number of cruise ships in the harbor on Monday and Tuesday.
b. Write an expression for the total number of cruise ships in the harbor on all 5 days.
NEED HELP PLEASE- ANSWER BOTH TASKS, WILL MARK BRAINLIEST
Task 1 - Nonlinear Systems of Equations
Create a system of equations that includes one linear equation and one quadratic equation.
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Part 1. Show all work in solving your system of equations algebraically.
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Part 2. Graph your system of equations and show the solution graphically to verify your solution.
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Task 2 - Polynomial Identities
Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
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Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
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Answer:
f(x)5.79(3)^2 for task 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Task 1:
Non linear systems of equations:
x + y = 1 -------------------(I) {Linear equation}
y = 1 - x
y = x² - 5 ---------------(II) {Quadratic equation}
Substitute y =1 - x in equation (II)
(II) --> 1 -x = x² -5
Add 'x' to both sides
1 = x² + x - 5
0 = x² + x - 5 - 1 {Subtract 1 from both sides}
x² + x - 6 = 0
x² + 3x - 2x - 6 = 0 {Rewrite the middle term}
x( x + 3) - 2(x + 3) = 0
(x + 3)(x - 2) = 0
x + 3 = 0 ; x - 2 = 0
x = - 3 ; x = 2
When x = - 3 , y = 1 -(-3 )
= 1 + 3
y = 4
When x = 2 ; y = 1 - 2 = -1
Solution of the equations: (-3,4) & ( 2,-1)
Task 2:
Part 1: x = 40 ; y = 30
(x - y)² = x² - 2xy + y²
(40 - 30)² = 40² - 2*40*30 + 30²
= 1600 - 2400 + 900
= 2500 - 2400
= 100
Part 2:
a = 10 , b = 11
a³ + b³ = (a + b)(a² - ab +b²)
(10)³ + (11)³ = (10 +11)(10² -10*11 + 11² )
= 21* (100 - 110 + 121)
= 21 * ( 221 - 110)
= 21 * 111
= 2331
If 8 apples can make 3 pies, then how many pies can you make with 24 apples?
A: 64
B: 24
C: 11
D: 9
E: 6
The equation of the line of best fit relating age (in years, x) and the median height (in cm, y) of boys is given.
y = 6.5x + 75.5y=6.5x+75.5
Predict the median height of boys age 13.
help plss
Answer:
160 cm
Step-by-step explanation:
y=6.5(13)+75.5
y=160 cm
Or about 5.2ft
If the equation of the line of best fit is y = 6.5x + 75.5, the predicted median height of boys at age 13 is 160 cm.
To predict the median height of boys age 13, we can use the equation of the line of best fit relating age (x) and median height (y) for boys, which is given as:
y = 6.5x + 75.5
To find the predicted median height at age 13, we substitute x = 13 into the equation and solve for y.
Plugging in x = 13, we have:
y = 6.5(13) + 75.5
Calculating the expression, we get:
y = 84.5 + 75.5
Simplifying further, we have:
y = 160
Using the equation of the line of best fit, we can estimate the relationship between age and median height for boys. In this case, plugging in x = 13 into the equation, we find that the predicted median height at age 13 is 160 cm.
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This is the question,
YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?
10-(5x2)+7 or 10-5x2+7
Yes or No
And Explain the answer
Answer:
He's correct.
Step-by-step explanation:
As long as there is no change in sign of the variables.
Aaron is 63 inches tall. In order to ride a roller coaster at an amusement park, a person must be 5 feet tall. Is Aaron tall enough to ride a roller coaster? How many inches shorter or taller is he than 5 feet Circle the letter of the correct answer
Yes. He is 3 inches taller than 5 feet
Yes. He is 13 inches taller than 5 feet
No. He is 7 inches shorter than 5 feet
No. He is 17 inches shorter than 5 feet
Tina chose A as the correct answer. How did she get that answer?
Answer: Tina is correct
Step-by-step explanation:
this is because in one foot there are 12 inches and there are 5 feet so 5 X 12= 60 and aaron is 63inches so he is tall enough and 63-60=3 inches so he is 3 inches taller than 5 feet.
Pls give me brainliest!!!
Answer:
Yes. He is 3 inches taller than 5 feet
Step-by-step explanation:
We know that 1 ft is 12 inches
5 ft * 12 inches/ 1 ft = 60 inches
You must be 60 inches to ride and Aaron is 63 inches
He is 3 inches taller
63 - 60 = 3 inches
a woodworker makes 238 wooden bowls a month. At the rate, how many bowls will he make in 12 months?
Answer:
2856
Step-by-step explanation:
if you multiply 238 by 12
you will get the ans
Answer: 2856
Step-by-step explanation:
A woodworker makes 238 bowls in a month: this is the unit rate. To find how many bowls will be produced by the woodworker in 12 months, multiply the unit rate by 12.
pls pls pls help i rlly need the asnwer soon
Answer:
(1. 5
(2. 180
(3. 900
(4. 5180=900
Step-by-step explanation:
math problem for highschool
Answer:
297 units squared
Step-by-step explanation:
You just have to break the squares down and compare them to the other sides of the squares. For example, F is a 4 by 4 square and B is a 5 by 5 square, to find the dimensions of square E, you would just subtract 5 by 4. By looking at the side relationships of the squares, you can easily find the dimensions of each one.
A - 9 by 9
B - 5 by 5
C - 6 by 6
D - 7 by 7
E - 1 by 1
F - 4 by 4
G - 8 by 8
H - 5 by 5
Multiply and add to get 297
Answer:
297 units squared
Step-by-step explanation:
simplify 6^x+2-6^x/7*6^x
step by step.
Answer:
[tex]{ \tt{ = \frac{ {6}^{x} +( 2 - {6}^{x}) }{7. {6}^{x} } }} \\ { \tt{ = \frac{ {6}^{x} (1 + 2 - 1)}{7. {6}^{x} } }} \\ = { \tt{ \frac{2}{7} }}[/tex]
simplify 2^x+4-2^x/5*2^x
step by step
Answer:
4/ 5 x 2^x
Step-by-step explanation:
2^x +4-2^x / 5^2
First we multiply everything by 5^2/5^2
2^x + 4-2^x (5^2x) / (5^2)(5^2)
= 2^x + 4-2^x 5^2x we see 2 x 5^2
= 2^x+4-2 x 5^2x +5^2x / (5^2)(5^2x) 2^x cancels with 2^x as subtraction and 5^2x base cancels with top also
= 4/ 5 x 2^x
i dont understand this
Answer:
you should use pythagorus theoram
h square=b square plus p square
Choose 3 of the following to write using a single, positive exponent: 2^-7, 3^-23, 11^-8, 4^-9, 2^-32, 8^-3. pls, hurry don't have much time! Ill give brainliest!!!
Answer:
1,3 and the last one
Step-by-step explanation:
Final Exam 7/28/21
Score: 20/24 20/27 answered
Progress saved Done
6 VO
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Question 2
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B0/1 pt 53 19 Details
Find a degree 3 polynomial having zeros - 3, 4 and 7 and the coefficient of 23 equal 1.
The polynomial is
Question Help: Video
Submit Question
Answer:
x^3-8x^2-5x+84
Step-by-step explanation:
The polynomial can be found by expanding (x+3)(x-4)(x-7)=x^3-8x^2-5x+84
after a gymnastic competition, the coaches reviewed all the gymnasts scores to identify areas for improvement. a missed landing on an aerial cartwheel deducts 2 points from the score. the coaches found that aerial cartwheels were missed 5 times across the competition. how did these missed landings affect the scores overall
Answer: The missed points will subtract 10 from the total score.
Step-by-step explanation:
A missed landing subtracts 2 points.
If they miss the landings 5 times, you know have a problem of 5x2.
5x2=10
Therefore, The points will subtract 10 from the total score.
PLZ HELP SOON
Bill and Xiadan each flip a fair coin three times. What is the probability that they will flip the same number of heads?
a single piece of sod is typically rectangular in shape and measures 46 cm wide and 1.5 m long. Assuming that you can cut the sod, how many pieces of sod would be required to cover the following lawn?
The question is incomplete
Answer:
could you add more information?
Step-by-step explanation:
Please help! Its a test! I will give brainly!
Question,
You have a corn root sample and a corn stem sample on microscope slides. When you view the samples through a microscope, the magnification number tells you how many times larger the image will be than the actual size. You see only a portion of the enlarged image.
a. The corn root sample is 0.6 millimeter wide. You magnify the image by 400. What is the width of the magnified corn root image?
_______ Milliliters
b. You magnify the corn root sample by 1,200 . How much wider is the image when magnified by 1,200 than by 400 ?
_______ Milliliters
c. You have a sample of a corn stem. The corn stem sample is 9.6 times wider than the corn root sample. What is the width of the corn stem sample?
________ Milliliters
what is the equation of the blue line?
Answer: y = 3x + 2
Step-by-step explanation:
[tex]\dfrac{x-x_{1} }{x_{2} -x_{1} } =\dfrac{y-y_{1} }{y_{2} -y_{1} }\\[/tex]
Let's choose two arbitrary points on the graph.
For example, let these be points with coordinates (1, 5) and (2, 8).
Substitute the coordinates of these points into the above formula and derive the equation of a straight line.
[tex]\dfrac{x-1}{2-1} =\dfrac{y-5}{8-5}\\\\\dfrac{x-1}{1} =\dfrac{y-5}{3}\\\\3(x-1)=y-5\\3x-3=y-5\\y=3x-3+5\\y=3x+2[/tex]
e) A and B are the subsets of a universal set U. If n (A) = 63, n (B) =72.
n (AUB) ,= 115, n (AUB) = 20, find
(i) n (U)
(ii) n(u)
(iii) n (Anb)
(iv) n (only A)
Also illustrate the above information in Venn-diagram.
sorry, there are two (AUB), I think one should be n(AnB) and i.e n(AnB)=20.Right?
Mr. Baldwin is packing the shipping box with ring boxes that are cubes with an edge length of 2/3 inches. if he completely fills the shipping box, how many ring boxes can he ship?
Answer:
I’m sorry but is this all the information given? Because this is incomplete.
Step-by-step explanation:
There has to be some other directions or inage attached (if there was supposed to be attached, i dont see it)
This should include the dimensions of the shipping box.
Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(−4, 5), H(3, 5), J(2, −1), and K(−5, −1).
Answer: 1,2.4
i'm not sure thoo
Step-by-step explanation: :3
The coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).
What is parallelogram?A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.
Given that:-
The coordinates the intersection of the diagonals of parallelogram GHJK with vertices G(−4, 5), H(3, 5), J(2, −1), and K(−5, −1).The intersection point will be the midpoint between the points G and J or points K and H.
The coordinates of the points H and K are ( 3,5) and K ( -5,-1). So the midpoint will be calculated as:-
Midpoint = [tex]\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}[/tex]
Midpoint = [tex]\dfrac{-5+3}{2},\dfrac{5-1}{2}[/tex]
Midpoint = [tex]-\dfrac{2}{2},\dfrac{4}{2}[/tex]
Midpoint = (-1,2)
Therefore the coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).
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In training for a swim meet, Tom swam 1000 meters in 2/3 hour. His swimming partner, Carl, swam 1/2 of his distance in 1/3 hour.
Answer:
1. 25 meters per hour
2. 500 meters
3. 25 meters per hour
4. the same speed as
Step-by-step explanation:
I didn't know the options for 4 so hopefully this is correct :)
What is the initial value of the function represented by this graph?
1
5
6
7
Answer:
the inital value is one.
Step-by-step explanation:
So basically, the initial value is just the value of y when x is zero. In this case, its 1 this point on the graph where x=0 is also known as the y intercept. Hope that helped.
HELP ME PLEASE
SJSJSJJSJSJSJSJ
Answer:
24.12-9.8=24.32
Step-by-step explanation:
hope this helps, sorry I'm bad at explaining, but just trust me it is this im 100% positive.
Answer: 24.32
Step-by-step explanation:
34.12 - 09.80
hope this helps
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:
Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C. (4 points)
Part B: What are the initial value and slope of the graph, and what do they represent? (6 points)
Answer:
you can count the lines from point a to point b on the Y (rise) axis then on the X (run) axis. put the rise over the run as a fraction (rise)/(run to find slope. it will form a triangle.
Step-by-step explanation:
Please help me! I will give brainly!
Question,
Three pumpkins are catapulted at a contest. How much farther does Pumpkin C travel than Pumpkin A?
• Pumpkin A travels 0.61 mile.
• Pumpkin B travels 0.28 mile farther than Pumpkin A.
• Pumpkin B travels 0.06 mile farther than Pumpkin C.
How many Mile ____
============================================================
Explanation:
A = 0.61 is given to us
Pumpkin B travels 0.28 of a mile further than A does, so,
B = A+0.28 = 0.61+0.28 = 0.89
Pumpkin B travels 0.89 of a mile.
---------------------
Pumpkin C travels 0.06 of a mile more than B does, which means,
C = B + 0.06
C = 0.89 + 0.06
C = 0.95
Pumpkin C travels 0.95 of a mile.
---------------------
The last thing to do is to subtract the values of C and A
C - A = 0.95 - 0.61 = 0.34
Pumpkin C travels 0.34 of a mile further compared to pumpkin A.
---------------------
Side note: if you want to convert from miles to feet, then multiply by 5280.
For instance, 0.61 miles = 0.61*5280 = 3,220.8 feet.
See the picture to solve the question 1Question=10 points
Answer:
1.5x+2.75y+33
Step-by-step explanation:
Call x: the hour of dogs keeping
y: the hour of wolves keeping
The total charge for dogs keeping: 19+ 1.5x
The total charge for wolves keeping: 14+2.75y
Total cost (19+ 1.5x)+(14+2.75y)= 1.5x+2.75y+33
Please answer this question, I will mark brainlest
Answer:
B: 12
Step-by-step explanation:
length of one side =150
length of one path =12.5
Number of patches= 150 / 12.5
Number of patches = 12
hope it helps
please mark me as brainliest
What is the solution to the following system of equations: 2x + 3y = 5 AND 5x = 5y -25
Answer:
point form (-2,3)
Equation form
x=-2, y=3
Step-by-step explanation:
solve for the first variable in one of the equation, then substitute the result into the other equation.
Answer:
(-2,3)
Step-by-step explanation:
5x=5y-25
x=y-5 divide both sides by 5
use substitution.
2(y-5)+3y=5
2y-10+3y=5 distribute the parenthesis
5y-10=5 combine like terms
5y=15 add 10 to both sides
y=3 divide both sides by 5 to get y alone
5x=5(3)-25 replace y with 3, the value we found above
5x=15-25 multiply 5 and 3
5x=-10 subtract 25 from 15
x=-2 divide both sides by 5 to get x alone
