a) -7x^2 + 7x + 1 = -8

b) -6x - 1 + 5x^2 = 8x^2

Show your work.

A. - 7x² + 7x + 1 + 8 = 0

- 7x² + 7x + 9 = 0

x = - b ± √b² - 4ac / 2a

= - 7 ± √7² - 4 (-7) (9) / 2 (-7)

= - 7 ± √49 + 252 / - 14

= - 7 ± √ 301 / - 14

x = - 7 + 17.349 / - 14 x = - 7 - 17.349 / - 14

= 10.349 / - 14 = - 24.349 / - 14

= - 0.739 = - 1.739

B. 8x² - 5x² + 6x + 1 = 0

3x² + 6x + 1 = 0

x = - b ± √b² - 4ac / 2a

= - (-5) ± √-5² - 4 (3) (1) / 2 (3)

= 5 ± √25 - 12 / 6

= 5 ± √ 13 / 6

x = 5 + 3.606 /6 x = - 5 - 3.606 / 6

= 8.606/6 = - 8.606/6

= 1.434. = - 1.434

please re-check the answers hope this helps

LeRoy cut a length of string into 30

pieces, all the same length. If each

piece of string was 13 inches long, how long was the string before he cut it?

**Answer:**

390 inches long

**Step-by-step explanation:**

The string = x

[tex]\frac{x}{30} = 13[/tex]

[tex]30 (\frac{x}{30} ) = 30(13)[/tex]

x = 390 inches

Write 32 as a product of primes. Use index notation when giving your answer.

Using the LCM method, you divide 32 with smaller prime numbers like 2 until you end up with a number 1

**Answer:**

[tex]2^{5}[/tex]

**Step-by-step explanation:**

32 ÷ **2** = 16

16 ÷ **2** = 8

8 ÷ **2** = 4

4 ÷ **2** = 2

2 ÷ **2** = 1

Then

32 = **2** × **2** × **2** × **2** × **2** = [tex]2^{5}[/tex]

Sophia and her brother combined to read a total of 40 books over the summer. Sophia read four times as many books as her brother. How many books did each person read? show work please

**Answer:**

Sophia read 32 books and her brother read 8

**Step-by-step explanation:**

Represent Sophia as 4x and her brother as x

4x + x = 40

5x = 40

x = 8

Therefore, her brother read 8 books and Sophia read 32 books

9. On a standardized test where the results are distributed normally, Elliete scored a 246. If the mean score was

a 182 with a standard deviation of 36, then what is Elliete's percentile rank (percent less than or equal to 246)

rounded to the nearest whole percent? Explain how you arrived at your answer.

Elliete's percentile rank is **96% **for a score less than or equal to 246

The** z score** is used to** determine **by how many **standard deviations **the **raw score** is above or below the** mean**. The **z score** is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 182, σ = 36

For **x ≤ 246**:

[tex]z=\frac{246-182}{36}=1.78[/tex]

From the normal distribution table:

P(x ≤ 246) = P(z < 1.78) = 0.9625 = **96%**

Elliete's percentile rank is **96% **for a score less than or equal to 246

Find out more on **z score** at: https://brainly.com/question/25638875

4/5=x/100 solve please

**Answer:**

x = 80

**Step-by-step explanation:**

4/5 = x/100

100 · 4/5 = 100 · x/100

100 · 4/5= x

80 = x

x = 80

Hence, The Answer is 80.

A new bank customer with $4,000 wants to open a money market account. The bank is offering a simple interest rate of1.4 %. how much will the customer earn in 10 years

Answer: they would earn $560

Step-by-step explanation:

10% = 400

1% = 40

0.1% = 4

40+16 = 56*10=560

If you could be so kind to press brainliest on this answer

What is the best approximation for the circumference of a circle with a radius of 45 cm?

Use 3.14 to approximate pi.

70.65 cm

141.3 cm

282.6 cm

6358.5 cm

**Answer:**

282.6 cm

**Hope ****it ****helps:****)**

Write the first five terms of the geometric sequence in which a1=27 and the common ratio is 4/3.

**Answer:**

What is the equation in vertex form of a parabola with vertex (2, 4) that opens downward and is stretched by a factor of 3?

**Answer:**

[tex]y=-\frac{1}{3}(x-2)^2+4[/tex]

**Step-by-step explanation:**

Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex] with the vertex being [tex](h,k)[/tex] and the vertical stretch or shrink factor as [tex]a[/tex].

Therefore, the correct equation is [tex]y=-\frac{1}{3}(x-2)^2+4[/tex]

The **equation** in vertex form of the downward-opening parabola with vertex (2, 4) that is stretched by a** factor **of 3.

The vertex form of a downward-opening parabola is given by:

y=a(x-4)²+k

Where (h, k) is the vertex of the parabola.

The **vertex** is (2, 4), and the parabola is stretched by a factor of 3. The negative sign in front of "a" indicates that the parabola opens downward.

So, we have:

Vertex: (h, k) = (2, 4)

Stretched factor:

a=-3

Now plug these **values **into the vertex form equation:

y=-3(x-2)²+4

To know more about **equation **here

https://brainly.com/question/29657983

#SPJ3

I’m very confused! Please help me (I’ll mark brainliest if you explain!)

Answer:4 **rounds

Step-by-step explanation:

It’s dividing by 2 each time.

**Answer:**

4 more rounds

**Step-by-step explanation:**

you will see there is a pattern which is dividing by 2

16/2=8

8/2=4

4/2=2

2/2=1

but since thats not an option i think it would be 8 dont ask its would be eight if not 4

A backpack weighed 28 pounds if you take out a textbook that weighs 6 pounds and3 ounces how much will the backpack weigh

**Answer:**

22 pounds and 13 ounces

**Step-by-step explanation:**

I hope this helps!

Which of the following is NOT on a credit report?

its the second one.

gender , it doesn’t really matter .

Please helppp me I need it now

**Answer:**

You can either choose B or D.

The answer is A. B & D will make one of the factors equal 0, which will make the statement equal to 0, not greater than. C will make the statements negative, which is less than 0. Your answer is A

ANSWER THIS SECOND On a typical night at a restaurant, the patio lights use 210.28 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.

Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?

A.

210.28 ÷ h

B.

210.28 - h

C.

210.28 × h

D.

210.28 + h

**Answer: choose the one that is addition... trust me**

**Step-by-step explanation:**

Find the specified nth term in the expansion of the binomial.

(8a + 3b)5, n = 5

**Answer:**

b= 1/3n - 8a/3

**Step-by-step explanation:**

hope that help you mark me brinilylist

jonathan sells clothes and makes a 4% commission. On sunday, jonathan sold $768 worth of clothes. How much was his commission on his sunday?

**Answer:**

768x4%= 30.72

His commission was $30.72

**Step-by-step explanation:**

330 is what percent of 750?

[tex] \frac{330}{750} \times 100 \\ = 44\%[/tex]

Please help me on this math problem

**Answer:**

A

**Step-by-step explanation:**

Benjie's line is a better fit because it has a lower value of least square residual, which measures how far on average each point is from the line.

Let f(x) = x − 2 and g(x) = x2 − 7x − 9. Find f(g(−1))

It’s telling you to plug in -1 into the g(x) equation and then ones you get the answer, you plug it into the f(x) equation

(-1)2-7(-1)-9=-4

(-4)-2=-6

it’s -6

(-1)2-7(-1)-9=-4

(-4)-2=-6

it’s -6

Jason and Krystal are selling pecan pies and strawberry cheesecakes for a school fundraiserJason sold 9 pecan pies and 8 strawberry cheesecakes for a total of $153. Krystal sold 2 pecan pies and 6 strawberry cheesecakes for a total of $72. If it is possible to find them, what is the cost of each pecan pie and strawberry cheesecake ? If not possible , explain why

From the **equation** that was gotten, the value of the **pecan pies** and the **cheesecake** will be **$9** each.

Based on the information given, the equations to solve the question will be:

**9p + 8s = 153 **..... i

**2p + 6s = 72 .**.... ii

Multiply equation i by 2

Multiply equation ii by 9.

18p + 16s = 306

18p + 54s = 648

**Subtract the equations**

38s = 342

**s = 9**

Since 2p + 6s = 72

2p + 6(9) = 72

2p + 54 = 72

2p = 72 - 54.

2p = 18

**p = 18/2 = 9**

They're both** $9** each

Learn more about equations on:

https://brainly.com/question/25678139

Write an expression that represents the perimeter of he rectangle

2(4x-6) + 2(3x+4) is the expression used to represent the perimeter

**Answer:**

Since the sides across from each other are congruent, you can times them by two

2(4x-6)+2(3x+4)

2,826 rounded to the nearest tenth

**Answer:**

2,826

**Step-by-step explanation:**

A tenth is the first place value after the decimal point

In this case, 2,826.00

To round a number to the tenths place, we look at the hundredths place

If the number is 5 or more, we add 1 to the tenths place, and leave the numbers to the right 0's

If the number is 4 or less, we keep the number as it is in the tenths place, and leave the numbers to the right 0's

In this case, the hundredths place is a 0, which is less than 4, so we keep the 0 in the tenths place, and leave the to the right 0's.

Thus, our final answer is 2,826.

Jack rode his bike 30 miles 5 hours. At this rate, how long would it take jack to ride one mile?

Answer:

36 seconds

Step-by-step explanation:

30 / (5 x 60) = 0.01

0.01 hours = 0.6 minutes

0.6 minutes = 36 seconds

**Answer:**

10 minutes

**Step-by-step explanation:**

**First, we need to convert hours to minutes. 5 x 60 = 300. **

**300 minutes for 30 miles. **

**Next, divide both numbers by something to equal 1. (Divide it by 30, because we are trying to get 30 to 1.)**

**300 divided by 30 = 10 **

**30 divided by 30 = 1**

**So, it would take Jack 10 minutes to ride 1 mile.**

Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens

**Answer:**

P = 3.86n

**Step-by-step explanation:**

the price will be how many sets you buy multiplied by the price.

Greg is looking for the best deal on a tablet that regularly cost $789 help and compare the price of the tablet at a store with the price on the store website by completing the following. The stores website is offering the tablet 80% discount off the regular price ignoring tax and shipping how much would he pay for the tablet on the stores website

**Answer:**

157.8

**Step-by-step explanation:**

so since its on a 80% discount we want to see how much 80% is on $790 which was its initial price. To find out the percentage of $790 we need to multiply $790 by 0.80 which will equal to 631.2.

the answer is 157.8

you have to subtract 790 with 631.2

Please help me I'm literally gonna cry

How many

How many 3/5 -pound bags of apples are in 3 pounds of apples?

___ bags ( btw the answer is not 0.2)

**Answer:**

5 bags, each containing 3/5 pounds of apples

**Step-by-step explanation:**

3 ÷ 3/5 = 3 x 5/3 = 5

How do i find the answer

**Answer:**

count them: 12

**Step-by-step explanation:**

All of the edges are shown in the figure. 9 are visible, and 3 are hidden, as indicated by their being a lighter gray (dotted). You can answer this question by counting the edges.

The total number of edges that a cuboid has is **12**.

PLEASE I AM IN DESPERATE NEED OF HELP

**Answer:**

C: H > 60

**Step-by-step explanation:**

H is 60 in or taller, underlined indicates that it's also 60 in, not just above it.

The value of p (p^2 + p +1) if p =-1

**Answer:**

The answer is 1

**Step-by-step explanation:**

p² + p + 1; p = -1

Now, Put p = - 1

p² + p + 1

(-1)² + (-1) + 1

1 - 1 + 1 = **1**

**Thus,**** **The answer is **1**

**-TheUnknownScientist**** 72**

Hey there!

p(p^2 + p + 1)

= -1(-1^2 + (-1) + 1)

= -1(-1^2 - 2 + 1)

= -1(-1^2) - 1(-2) - 1(1)

= 1 + 2 - 1

= 3 - 1

= 2

Therefore, your answer should be: 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Help plzzz!! Find the slope through these pairs of points

(5,-15),(12,2)

(-18,-20),(6,-5)

(-18,-19),(-17,-19)

(-1,3),(-11,-17)

We can use the formula y2-y1/x2-x1 to find the slope.

1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.

2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.

3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.

4. -17-3/-11-(-1) is -20/-10. The slope is 2.

1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.

2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.

3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.

4. -17-3/-11-(-1) is -20/-10. The slope is 2.

Write an equation in slope-intercept form of the line that passes through (1,-9) and (3,-7)
Write an equation in slope-intercept form of the line that passes through the points.
Which of the following facts is the best example of molecular DNA evidence thatsupports the Theory of Evolution?A. Humans and chimpanzees share between 95% and 98.5% of their DNA.B. The embryos of humans and chickens share similar features early in development.C. Humans, penguins, alligators, and bats all share forelimbs with homologous structures.D. In the fossil record, plants are found below reptile fossils. Im guessing that its A
hari drags a load of 60 kg along a distance of 12 m. what amount of work does he do?also mention the type of work
blueberries cost 4.00 per pound. how many of blueberries can you buy for 1.00
More than a million people immigrate to the United States to start new lives every year, and if theyare arriving in New York, one of the first sights that they will see is the Statue of Liberty. The Statue ofLiberty stands on Liberty Island, near Manhattan in New York. Though she is often thought to beresident of New York, Liberty Island is actually federal property, which means that the Statue ofLiberty belongs to the whole country. The Statue of Liberty is not only the tallest statue in America, itis also one of the most recognizable American symbols.The Statue of Liberty is huge. From the tip of the torch to the pedestal which is the base of the statueon which she stands, she is just over 151 feet tall. If you include the pedestal in your measurement,she stands more than 305 feet off of the ground. Thats more than 30 basketball hoops or an entirefootball field. Her waist size is 35 feet, which would make it awfully tough to find pants, and thetablet she holds is 23 feet long. Dont worry though; she hasnt had any trouble holding that tabletyet with her 8 foot index finger.Though America financed and built the pedestal on which the Statue of Liberty stands, the statueitself was a gift from France. In this way the complete work, much like the United States, is a productof both American and French contributions. At one time America was ruled by the British. Thefounding fathers of America chose to fight against Great Britain for the independence of theircountry. France supported America by providing money, men, and weapons of war. Had it not beenfor French contributions during the Revolutionary War, America would not exist in the way that itdoes today; therefore, it is quite fitting that the Statue of Liberty, which represents freedom, came tobeing by a joint American and French effort. On October 28th, 1886, just over one-hundred yearsafter America declared its independence from Great Britain, the Statue of Liberty was completed anddedicated by its designer, Frdric Auguste Bartholdi.Perhaps no person did more to bring the statue into being than Bartholdi. Not only did Bartholdi gainboth French and American approval for the project, he led the French fundraising efforts anddesigned the appearance of the statue. The appearance of the Statue of Liberty is somewhat resultingfrom Libertas, the Roman goddess of freedom. The torch represents how liberty enlightens the world.The seven points or rays coming from the top of the crown represent the sun, the seven seas, theseven continents, and (as with the torch) how liberty enlightens the world. Though much of thestatue was modeled after depictions of goddesses, Bartholdi modeled the face after his mother. Nowthats a Mothers Day gift thats hard to top.Though Bartholdi was responsible for the external appearance of statute, the internal design can belargely credited to innovative designer, Gustave Eiffel. Though Mr. Eiffel is best known for hiscontributions to a tower in Paris that is named after him, he also engineered the internal structurethat holds up the Statue of Liberty. Eiffel chose to use a flexible structure, so that changes in thetemperature and strong winds from the ocean would not cause the statue to crack. Because of Eiffelscrafty design, the Statue of Liberty may sway as much as three inches on a windy day. If the windsexceed 50 miles per hour, the torch may sway five inches. Eiffel is also responsible for including twospiraling staircases on the interior of the statue to help visitors reach the observation point in thecrown.A.Answer the following questions:1. Why is it significant that the Statue of Liberty is a product of both French and American efforts?2. Eiffel chose to use a flexible structure. Explain.3. The statue of liberty belongs to one state only. True or False. Support from the text.4. Why does the Statue of Liberty look the way that she does?5. What is the main idea of the passage?B.Choose the correct answer:6. Which is not represented by the seven points on the crown of the Statue of Liberty according to thetext?a. The points represent how liberty enlightens the world.b. The points represent the seven continents.c. The points represent the sun.d. The points represent the seven days of creation.7. What is meant by pedestal?a. The Statue of Liberty stands on Liberty Island.b. It is a federal property.c. the statue itself was a gift from France.d. the base on which the Statue of Liberty stands.8. Which best expresses the main idea of the third paragraph?a. France assisted the United States in the Revolutionary War.b. The statue was a joint effort between France and the U.S. just like U.S. independence.c. The U.S. was once a colony of Great Britain.d. The statue of liberty was dedicated 100 years after America declared its independence.
Olivia asks several real estate agents to help her sell her house. A buyer is found. At the closing, no agent receives a commission. What type of listing agreement did Olivia make
A compound has a molar mass of 163.59 g/mol. If you have 736.155 grams of this compound, how many moles do you have?
What is a key difference between bank embezzlement and bank robbery?A person who robs a bank must show a weapon; an embezzler typically uses a pen or computer.There is no legal difference between embezzlement and robbery.A person who embezzles funds must have been an employee of the bank for a minimum of twenty-five years; bank robbersneed only have been ten-year employees.A person who embezzles funds from a bank must be an employee or someone trusted to manage the bank's assets; a bankrobber can be anyone.
does anyone can help me i dont get and how to solve this
The principle that safer investments tend to offer.
Which best describes the text structure of the fourth paragraph?
What similar purpose did many traditional African religions share
Match each term with its definition
Overpopulation can result from _____________
The ________ command is one of the most commonly used command-line commands. It can be used to check IP connectivity between two network devices.
Mr. Smith had $50. He found a $5 bill. What is the percent of change in his money?Please show in step by step how to solve
Alex submitted his analysis of the short story The Zoo for peer review. In his essay, Alex claimed that the manticore was a symbol for Emilys worries about her father. Which of these topics does NOT belong in the groups discussion of Alex s essay?a discussion about what else the manticore might symbolizea summary of the claims and evidence in Alexs analysisa discussion about the strengths of Alexs analysisa description of the manticore in Harry Potter and the Sorcerers Stone
Area of rectangle 2x8/9
When an author has an explanation printed at the bottom of the page you are reading to identify a reference they made to another authors work, what is this feature called?