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.

Answers

Answer 1

Answer:

part 1 : y = x^2 + 3x + 5

y = x + 13

solution:

x^2 + 3x + 5 = x + 13

x^2 + 2x -8 = 0

(x+4)(x-2) = 0

x = -4 or x = 2

if x = -4, y = 9

if x = 2 , y = 15

part 2 : x^2 + 2x + 1 = 0

(x + 1)^2 = 0

x = -1

y = 1

task 2

part 1 : Let our two digit number be 26

Next, we rewrite it as a difference of two numbers

26=32-6

We want to square 26 using the identity:  

In this case,

x=32

y=6

Substituting into the identity

 plz make me brainliest


Related Questions

ein rechteckiger Bauplatz ist 39,5 m lang und 32,5 m breit . wie teuer ist der Grund ,wenn ein Quadratmeter Bauland 185,50 euro kostet???​

Answers

So first you need to find the area of the building site which is:

length x width

39.5m x 32.5m

= 1283.75[tex]m^{2}[/tex]

We know that one square meter costs 185.50 euros.

1[tex]m^{2}[/tex] = 185.50 euros

1283.75[tex]m^{2}[/tex] = 238135.625 euros

I'm not exactly that familiar with euros but I'm pretty sure that euros don't have 3 numbers after the point so the two nearest numbers are 238134.86 and 238135.86.

sorry if this is wrong, but I hope it helps, if the euros part is wrong please correct me thanks!

A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70 peaches per tree. A scientist wishes to find the 95% confidence interval for the mean number of peaches per tree. How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree

Answers

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The standard deviation of the population is 70 peaches per tree.

This means that [tex]\sigma = 70[/tex]

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]10 = 1.96\frac{70}{\sqrt{n}}[/tex]

[tex]10\sqrt{n} = 1.96*70[/tex]

Dividing both sides by 10:

[tex]\sqrt{n} = 1.96*7[/tex]

[tex](\sqrt{n})^2 = (1.96*7)^2[/tex]

[tex]n = 188.2[/tex]

Rounding up:

She needs to sample 189 trees.

What is 3 2/4 in simplest form

Answers

Answer:

Your answer is 8

I hope it's helps you

Eastside middle school ​has 1,500 students. Thirty-two percent of them are in sixth grade. How many sixth-grade students are there?

Answers

480 six graders
1,500*0.32 = 480

6.
Ethan's middle finger is 10.6cm long. His ring finger is
9mm shorter. How long is his ring finger in centimetres?

Answers

Answer:

9.7 m

Step-by-step explanation:

Your answer is 9.7cm

Wouldn’t that be 9.7?

A rectangle is drawn at (-4,-2) (-1,-2) (-4,-4) and (-1,-4). What is the perimeter?

Answers

Answer:

12

Step-by-step explanation:

Hey guys its me fitzroywilliamsjr6

Answers

Answer:

hello

Step-by-step explanation:

Answer:

Here, nice to meet you! I'm Avocadorable! lolz ;)

Marisol rolled a six-sided number cube 200 times. Her results are in the table shown.
what is the experimental probability of Marisol rolling a 5? Answer the answer as a percent.

Answers

Answer:

18%

step by step explanation:

36/200 × 100=18

Answer:

3/10

Step-by-step explanation:

the answer is 3/10 hope this helps may i be marked brainliest?

find the length please help

Answers

116 I hope that helps

To the nearest whole unit, what is the perimeter of triangle ABC?
6 units
8 units
14 units
16 units

Answers

Answer:

14 unit I think hope it helps

Izara built a fence for her horses. The fence was 210 feet long. She put a fence post in the ground at the start of the fence and another fence post every 3 12 feet. Izara paid $8.50 for each fence post.
How much did Izara pay for all the fence posts she used?
A. $297.50
B. $518.50
C. $595.00
D. $765.00

Answers

B. $518.50 is the answer. Quizzes and Quizlet confirmed.

What is the median of the dot plot for 4,6,6,7,9

Answers

Answer:

6

Step-by-step explanation:

6 is in the middle with 2 numbers on each side so it is the medium

what is the surface area? 4 mm. 4 mm
4 mm​

Answers

Answer:

So its hard to tell if you want the answer to the SA of 4mm x 4mm x 4mm or the image but I did the mm one.

I got 9216 mm I wasn't sure if you need them converted to any other measurement.

In a model based on a weakly dependent time series with serial correlation and strictly exogenous explanatory variables, _____. a. the feasible generalized least square estimates are BLUE b. the feasible generalized least square estimates are asymptotically more efficient than OLS estimates c. the feasible generalized least square estimates are unbiased d. the feasible generalized least square estimates are asymptotically less efficient than OLS estimat

Answers

Answer:

Option a (the feasible........BLUE) is the correct option.

Step-by-step explanation:

The association with a certain variable and perhaps a lagging representation with its own over time is termed as Serial correlation. OLS could even deliver skewed outcomes and can't thus be utilized attributable to serial correlation. GLS has always been then used that follows BLUE, in other words, GLS even though in this circumstance becomes an appropriate Unbiased Linear Estimator.

The other alternatives are not related to the given scenario. So the above is the right option.

The square of a number decreased by ten times the number is negative nine.

Answers

Answer:

9 OR 1

Step-by-step explanation:

Let the number be x

x² - 10x = -9

x² - 10x + 9=0

a=1

b=-10

c=9

Solve using the quadratic formula

x =9 or 1

x^2 - 10x =-9

x=1 or x=9

The Sharps purchased a new sectional. The cost
was $1,784. They also had to pay 7.25% sales
tax. What was the total amount paid?

Answers

Answer:

$1913.34

Step-by-step explanation:

$1784 (original amount) * 7.25% (sales tax) = $129.34 Tax paid

129.34 + 1784 = Price after tax

The Sharps purchased a new sectional. The cost was $1784.The total amount paid is $1913.34.

We have given that,

The Sharps purchased a new sectional. The cost was $1,784. They also had to pay 7.25% sales tax.

What is the formula for tax paid?

tax paid=original amount × sales tax

$1784 (original amount) * 7.25% (sales tax) = $129.34 Tax paid

129.34 + 1784 = Price after tax

Therefore, The total amount paid is $1913.34.

To learn more about the amount visit:

https://brainly.com/question/25109150

#SPJ2

Question 1(Multiple Choice Worth 2 points)
(10.03 MC)

Select the sentence that correctly uses a prepositional phrase.

Andy in her backpack has extra supplies.
Around the corner. Belle spotted a lost dog.
Through her binoculars, Kathryn spotted a hawk.
Mika wore under her hiking boots thick wool sock

Answers

Answer:

i think the answer is c but im soo sorry if im wrong

Step-by-step explanation:

What is 528 divided by 11?

Answers

Answer:

[tex]\sqrt[11]{528}[/tex]= 48

Step-by-step explanation:

[tex]\sqrt[11]{528}[/tex]= 48

48 x 11 = 528

Answer:

The answer is 48

Step-by-step explanation:

What is the area of the trapezoid? A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters.

Answers

16 +160 so 176 because two triangles put together to make 16 and then just 16 x 10

Answer:

on edge its ur cool

Step-by-step explanation:

Find the value of x.
6
14
3x-12
21
x = [?]
Enter

Answers

Answer:

x = 7

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following equation:

21/(3x - 12) = 14/6

21/(3x - 12) = 7/3

Cross multiply

(3x - 12)*7 = 3*21

21x - 84 = 63

21x - 84 + 84 = 63 + 84

21x = 147

21x/21 = 147/21

x = 7

g(x) = –24 + 2x3 + 5x2 - 1
End of behavior

Answers

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[tex]bit.^{}ly/3dXyuz8[/tex]

A fair coin is tossed 5 times. Compute the probability of tossing 5 heads in a row.

Answers

Answer:

50%

Step-by-step explanation:

There is 2 side out of 100% half is 50 :D gl and mb if its wrong!

Answer:

* Here we assume that the coin tossed is fair.

Probability of event A = # Favorable cases for event A/ # Exhaustive cases for event B

Where

Favorable cases means outcomes of an experiment that favors a particular event

Exhaustive cases means, number of total possible outcomes.

For tossing a coin one time:

# Favorable cases = 1 (getting head)

# Exhaustive cases = 2 (two outcomes, say, head and tail)

So, P(getting head in a single toss) = 1/2

For tossing a coin two times:

# Favorable cases = 1 (getting 2 heads, say, HH)

# Exhaustive cases = 2*2 or 2^2 (4 outcomes, say, HH, HT, TH, TT)

So, P(getting 2 heads in two tosses of a coin) = 1/4

Similarly, for tossing a coin five times:

# Favorable cases = 1 (getting 3 heads, say, HHHHH)

# Exhaustive cases = 2*2*2*2*2 or 2^5 (32 outcomes, say, HHHHH, THHHH, ..... etc)

So, P(getting head in 5 tosses of a coin) = 1/32

Step-by-step explanation:

1/4 / (17 + 4)
What’s 1/4 divided by (17+4)

Answers

Answer:

0.0119047619

Step-by-step explanation:

Answer:

21/4

Step-by-step explanation:

1/4 ÷ (17 + 4)

1/4 ÷ (21)

21 × 1/4 = 21/4

-TheUnknownScientist

Please help! Will mark brainliest if right!!

Answers

Answer:

1.(C)

2.(D)

3.(B)

4.(A)

5.(C)

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ☺️♨️☺️

)BRAINLEIST PLEASE(

Needs help with this question ASAP

Answers

ASAP means as soon as possible. A is the answer, go with ur gut

SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM

Answers

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation:

Find the mean of the data in the bar chart below. money in each persons piggy bank

Answers

Answer:

The chart is showing how much many is in each persons piggy bank.

Step-by-step explanation:

Just a heads up , The title at the top of the graph gives off all the answers as to what the graph is showing.

Answer: 10.5

Step-by-step explanation:

C a l c u l a t o r

also I tried it myself so thats even more proof :D

What is the circumference of a circle with a diameter of 8 feet? Use 3.14 for ON d=80 O A. 25.12 ft B. 12.56 ft C. 50.24 ft D. 11.14 ft​

Answers

Answer:

25.12

Step-by-step explanation:

Formula: 2πr, r = d/2

Given: π = 3.14, d = 8

Sub: r = 8/2

Simplify: r = 4

Sub: 2(3.14)(4)

Simplify: 6.28(4)

Solve: 25.12

18-2g=4g
Simplify !!!

Answers

Answer is 3✌✌✌✌✌✌I think

What is the distance between the points (-6, 2) and (-4, 7)? Round to the nearest tenth if necessary.

Answers

Answer:

The distance is 5.4.

Step-by-step explanation:

Hope this helps!! Have an Amazing day!!

Answer:

5.385

Step-by-step explanation:

Use the distance formula with (-6,2) (-4,7)

[tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2 }[/tex]

[tex]\sqrt{(-4--6)^2 + (7-2)^2 }[/tex]

[tex]\sqrt{(2^2) + (5^2)}[/tex]

[tex]\sqrt{4+25}[/tex]

[tex]\sqrt{29}[/tex]

= 5.385

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