Answer:
p=12
Step-by-step explanation:
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.
-
Part 1. Show all work in solving your system of equations algebraically.
-
Part 2. Graph your system of equations and show the solution graphically to verify your solution.
-
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.
-
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.
-
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
Which coordinate grid shows Point A at (0.25, −1.75)?
Step-by-step explanation:
If possible, please provide a picture otherwise we do not know what to answer. First move 0.25+ along the x axis, then -1.75 in the y direction. it should look like this
Find the missing numbers.
Answer:
Step-by-step explanation:
1÷4 / 6÷1 = 1÷4 × 1÷6 = 1/(4×6)
PLEASE HELP
Write an equivalent expression for -5x+3×2.5x
Answer:
2.5x
Step-by-step explanation:
-5x+3*2.5x
Multiply
-5x+7.5x
Combine like terms
x(-5+7.5)
2.5x
Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of S.
Answer:
325
Step-by-step explanation:
You must have heard about Arithmetic Progressions (AP)
Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.
Our very own counting numbers form AP
For example :-
2 = 1 + 1
3 = 2 + 1
4 = 3 + 1
The number in bold (1) is that constant number which is added to a number to form its successive number.
To find the sum of series forming AP, we use the formula :-
[tex]sum = \frac{n}{2} \{ a + a _{n} \} [/tex]
here,
n is the number of termsa is the first number of the series an is the last number of the seriesSo we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).
and n is 25
[tex]S = \frac{25}{2}\{ 1 +25\} [/tex]
[tex] = \frac{25 \times 26}{2} [/tex]
[tex] = 25 \times 13[/tex]
[tex] = 325[/tex]
So, the value of S comes out to be 325.
Answer:
s= 325
Step by step explanation:
Add all numbers 1 to 25 to get 325.
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:
MacKenzie surveys 80 of her classmates and finds that 65% of them like sports. She also finds that 75% of her 64 relatives like sports. How many more of her classmates like sports as compared to her relatives? Pls help
Answer:
65%×80=52
(80-52=28) no of classmates who liked sports
75%×64=48
(64-48=16) no of relatives who liked sports
no of classmates who liked sports - no of relatives who liked sports
= 28-16 = 12
Hence, 12 more of her classmates like sports as compared to her relatives
There are total 4 more of her classmates like sports as compared to her relatives.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the information given in the question,
Total number of students surveyed = 80
Percentage of students who like sports = 75%
So,
(80 × 65)/100
= 5200/100 = 52
Total number of Relatives = 64
Percentage of relatives who like sports = 75%
So,
(64 × 75)/100
= 4800/100 = 48
Then, the number more of her classmates like sports compared to relatives will be:
52 - 48
= 4
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Can someone please help me with this question I need to find the unit rate.
First we have to take any point, I'll take (5,3).
X-axis represents number of pounds and y-axis represents total cost (in $).
So, 5 pounds = $3
=> 1 pound = $3/5
=> 1 pound = $0.6
=> 1 pound = 60 cents
Answer:
60c per pound.
Step-by-step explanation:
If 5lbs cost 3 dollars, 1lb = 3/5
3/5 = 0.6$
60c
Neelam’s team had a mean score of 150 in the 4 games his team played this season. Alanoud’s team had a mean score of 80 in the 6 games her team played. What is the mean score for all 10 games played?
Answer:
115
Step-by-step explanation:
The mean score for all 10 games played is 108 if Neelam’s team had a mean score of 150 in the 4 games his team played this season.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
We have:
Neelam’s team had a mean score of 150 in the 4 games his team played this season.
Total score(Neelam's team) = 150×4 = 600
Total score(Alanoud’s team) = 80×6 = 480
Total scores = 600 + 480 = 1080
Mean score for all 10 games:
= 1080/10
= 108
Thus, the mean score for all 10 games played is 108 if Neelam’s team had a mean score of 150 in the 4 games his team played this season.
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11 and 14 please!! I’ll give Brainlist please
Answer:
11. p-(780/6) or p-130
14. 12
Step-by-step explanation:
11. 780/6 because there are 6 people so we split it evenly.
14. 24/2 = 12
Please answer this question will give brainiest please answer
Answer:2 and 3
Step-by-step explanation:
please help me answer this question quickly
Answer:
A and D is true.
(see how to solve in pic)
Can Some1 Tell Me the answer?
Answer: D
Step-by-step explanation:
Answer: D(2.8a-12a-3.6
hope that helped <3
Olivia pays $189 for a painting, including tax.
If the actual price is $179.50, what is the sales tax rate?
The sales tax rate = 5.29%
What is the formula for tax rate?"Tax rate = (Tax amount / Price before tax) × 100% "
What is the formula for tax amount?"Tax amount = Final price - Price before tax"
For given question,
Olivia pays $189 for a painting, including tax.
⇒ Final price = $189
The actual price of the painting is $179.50
⇒ Price before tax = $179.50
Using the formula of tax amount,
⇒ Tax amount = Final price - Price before tax
⇒ Tax amount = 189 - 179.50
⇒ Tax amount = 9.5
Now we find the sales tax rate.
Using the formula of tax rate,
⇒ Tax rate = (Tax amount ÷ Price before tax) × 100%
⇒ Tax rate = [tex]\frac{9.5}{179.50} \times 100~\%[/tex]
⇒ Tax rate = 5.29%
Therefore, the sales tax rate = 5.29%
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Which expression is equivalent to 16.8−18.6
A.18.6-16.8
B.16.8-(-18.6)
C.-18.6+(-16.8)
D.16.8+(-18.6)
Answer:
D is your answer16.8+(-18.6)OAmalOHopeO
The equation below shows the relationship between the number of apples purchased, a, and the total cost
of the apples in dollars, c. Based on the equation, what is the cost per apple, in dollars?
a/5 = c/4
a. $0.80
b. $1.25
c. $4.00
d.$ 5/3
Answer:
C
Step-by-step explanation:
a (5) = c (4)
5 x 4 = 20
20 (total) divided by the 5 apples is $4.
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.
A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $33,950 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?
Answer:
x = 638
y = 1190 - 638 = 552
Step-by-step explanation:
Let x = premium seats
let y = regular seats
x + y = 1190 (ten were not sold
30x + 20y = 30180 (amount collected
now multiply the first equation by 20 and subtract
20x + 20y = 23800
30x + 20y = 30180
-10x = -6380
x = 638
y = 1190 - 638 = 552
check it by multipying x and y by their price to see if you come up with the correct amount
Hope this helps
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
pls pls pls help i rlly need the asnwer soon
Answer:
(1. 5
(2. 180
(3. 900
(4. 5180=900
Step-by-step explanation:
!PLEASE EXPLAIN IT EASY SO I UNDERSTAND IT!
Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:
Year Lawn Care Fee
2000 $750
2010 $1350
A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
Answer:
Rate of Change: $60 Per year
Step-by-step explanation:
We can find how many years are from 2000 to 2010 not overcouting. That is 10. Now, we do 1350 minus 750 because that's the change of the fee. That will give you 600. Now, 600 divided by 10, giving you how much change each year. That's 60.
So,
2000:750
2001:810
2002:870
2003:930
2004:990
2005:1050
2006:1110
2007:1170
2008:1230
2009:1290
2010: 1350
You can graph it out with that, now.
Johnny rode his bicycle down a hill. It took him 15 seconds to ride from the top of the hill to the bottom of the hill. The equation h = -3t + 45 models his height, h, in feet, above the bottom of the hill as a function of the time, t, in seconds, after he started riding down the hill. Part A: What is the average rate of change in Johnny’s height? Part B: What is the height of the hill? Part C: How long will it take Johnny to travel 1/3 of the distance down the hill?
From the height function, we get that:
a) The average rate of change is of -3 feet per second.
b) The height of the hill is of 45 feet.
c) It will take Johnny 5 seconds to travel 1/3 of the distance down the hill.
-------------------------------
The height, after t seconds, is given by:
[tex]h(t) = -3t + 45[/tex]
-------------------------------
The height of the hill is [tex]h(t)[/tex] when [tex]t = 0[/tex], thus [tex]h(0) = -3(0) + 45 = 45[/tex]. 45 feet, which means that the the answer for option B is 45 feet.-------------------------------
Item a:
The initial height is of 45 feet, at [tex]t = 0[/tex] seconds.The final height is of 0 feet, at [tex]t = 15[/tex] seconds.Thus, the average rate of change is given by:[tex]A = \frac{0 - 45}{15 - 0} = -\frac{45}{15} = -3[/tex]
The average rate of change is of -3 feet per second.
-------------------------------
Item c:
One-third of the distance of 45 feet is [tex]\frac{1}{3}45 = 15[/tex] feet, thus, we have to find the time at which he is at 30 feet, that is, t for which [tex]h(t) = 30[/tex][tex]h(t) = -3t + 45[/tex]
[tex]30 = -3t + 45[/tex]
[tex]3t = 15[/tex]
[tex]t = \frac{15}{3}[/tex]
[tex]t = 5[/tex]
It will take Johnny 5 seconds to travel 1/3 of the distance down the hill.
A similar problem is given at https://brainly.com/question/20732437
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.
Please help me fast! I will give brainly
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.
What is 1/2[4x + 6(2 + 2x)]
Answer:
8x+6
Step-by-step explanation:
1/2[4x + 6(2 + 2x)]
Work inside out
Distribute inside
1/2[4x + 12 + 12x)]
Combine like terms
1/2[16x +12]
Distribute
8x+6
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{\dfrac{1}{2}[4x+6(2+2x)] }[/tex] [tex]\sf{\dfrac{1}{2}[4x+12+12x] }[/tex] [tex]\sf{\dfrac{1}{2}[16x+12] }[/tex] [tex]\sf{\dfrac{1}{2}[2(8x+6)] }[/tex] [tex]\sf{\dfrac{1}{\cancel{2}}×\cancel{2}(8x+6) }[/tex] [tex]\sf{ 8x+6 }[/tex][tex]\sf{ }[/tex]
Name the property shown by each statement:
(commutative, associative, identity, or multiplicative property of zero)
1. 7 + 10 = 10 + 7
2. 4 • 1 = 4
3. 10 + 8y = 8y + 10
Answer:
1. commutative
2. identity
3.multiplicative
hope it helps^-^
Answer:
1. commutative
2. identity
3.multiplicative
Step-by-step explanation:
Express the extended fraction at the right as a simple fraction in lowest terms.
Answer: 5/2
Yes it has to be 5/2
Answer:
5/2
Step-by-step explanation:
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 1,450 students at Classical Academy were surveyed about their use of text messaging. How many students said they text 0-50 times a day?
Answer:25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Please answer my question and explain it.
================================
Work Shown:
4 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
In short, 4 1/2 cups is the same as 4.5 cups
---------
1 cup = 8 fluid ounces
4.5*(1 cup) = 4.5*(8 fluid ounces) ....... multiply both sides by 4.5
4.5 cups = 36 fluid ounces
Answer:
D
Step-by-step explanation:
