When 3 times a number is added to the square of the number, the result is 40. Determine the number

Answers

Answer 1

Answer:

5 or -8

Step-by-step explanation:

[tex](3 \times x) + x {}^{2} = 40[/tex]

[tex]3x + {x}^{2} = 40[/tex]

[tex] {x}^{2} + 3x - 40 = 0[/tex]

using factorization method

[tex]( {x}^{2} + 8x) ( - 5x - 40) = 0[/tex]

[tex]x(x + 8) - 5(x + 8) = 0[/tex]

[tex](x - 5)(x + 8) = 0[/tex]

[tex]x - 5 = 0[/tex]

or

[tex]x + 8 = 0[/tex]

[tex]x = 5[/tex]

or

[tex]x = - 8[/tex]


Related Questions

Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. What is the maximum number of pizza slices Wes can buy?

Answers

The maximum number of slices of pizzas he can buy is 12

how many 1/3s do you need to make 3/4

Answers

Answer:

2.25

Because I was asked this question and got it righg

(2a-1)(2a-1)-(2a+3)(2a+3)

Answers

Answer:

-16a-8

Step-by-step explanation:

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{\color{#c92786}{(2a-1)(2a-1)}}-(2a+3)(2a+3)

(2a−1)(2a−1)−(2a+3)(2a+3)

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Answer:

− 1 6 − 8

Step-by-step explanation:

Please help with my homework

Answers

Hey please add more details or specific. It looks like you finished, or are you looking for if the answers are correct? But we will still need some information
1. X = 30
2. X = 6
3. X = 30
4. X = 20
5. X = 6
6. X = 20

Help solve this please.

Answers

Hey there!

(-12) - (+3 - 4 - 10) + (-15)

= -12 - (3 - 4 - 10) - 15

= -12 - (-1 - 10) - 15

= -12 - (-11) - 15

= -12 + 11 - 15

= -1 - 15

= -16

Therefore, your answer should be: -16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

the example shows that <A is congruent to <R. what does it mean to say that angles are congruent ​

Answers

Answer:

It means that  the measurments of both angles are equal.

Step-by-step explanation:

Simplify the expression (4-5i)(2+6i)-(3-2i) show your work.

Answers

The simplification of the given expression [tex](4-5i)(2+6i)-(3-2i)[/tex], we get [tex]-30i^2+16i+5[/tex].

Given expression is:

[tex](4-5i)(2+6i)-(3-2i)[/tex]

By applying the multiplication, we get

→ [tex](8-10i+24i-30i^2)-(3-2i)[/tex]

By multiplying the (-) sign into the bracket, we get

→ [tex]8-10i+24i-30i^2-3+2i[/tex]

→ [tex]5+16i-30i^2[/tex]

By arranging the terms, we get

→ [tex]-30i^2+16i+5[/tex]

Thus the answer above is right.

Learn more:

https://brainly.com/question/19593573

Write this polynomial in descending order. Enter exponents using the caret
(). For example, enter x2 as x^2.
-7 + 8x2 - 4x

Answers

Answer: 8x^2 -4x -7

Step-by-step explanation: the x^2 term comes first, followed by the x, then the constant which in this case is -7

so it would be 8x^2 -4x -7

The polynomial -7 + 8x² - 4x written in descending order is 8x² - 4x - 7.

To write the polynomial -7 + 8x² - 4x in descending order, we arrange the terms from highest degree to lowest degree.

Here's how to do it step by step:

Step 1: Identify the degree of each term:

The term -7 has a degree of 0 (since it is a constant).

The term 8x² has a degree of 2 (since it has a variable raised to the power of 2).

The term -4x has a degree of 1 (since it has a variable raised to the power of 1).

Step 2: Arrange the terms in descending order based on their degrees:

Start with the term with the highest degree and proceed in decreasing order. In this case, we have only three terms, so we start with the highest degree term:

8x² (degree 2)

Next, we consider the next highest degree term:

-4x (degree 1)

Finally, we have the constant term:

-7 (degree 0)

Step 3: Write the polynomial in descending order:

Putting the terms together in descending order, we have:

8x² - 4x - 7

So, the polynomial -7 + 8x² - 4x written in descending order is 8x² - 4x - 7.

Learn more about polynomials in descending order click;

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the diffrence between 4 and 1 on number line

Answers

Answer:

What is 3

Step-by-step explanation:

4 - 1 = 3.

Please answer number 11 thank you!

Answers

Answer:

9 portions and 15 grams in each portion

i need answer for this problem​

Answers

Answer:

(Reflect across the line y = x then reflect across the y axis then translate 2 units in left and 5 units

down) that's the answer

Step-by-step explanation:

Hope it helps

A shipping container will be used to transport several 50-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 3900 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 50-kilogram crates that can be loaded into the shipping container.

Answers

Answer:

See below

Step-by-step explanation:

Capacity of the container = 24000 kgLoaded weight = 3900 kgNumber of crates = x

Required inequality:

50x + 3900 ≤ 24000

Solving:

50x ≤ 20100x ≤ 20100/50x ≤ 402

Answer:

Inequality: 50x+9500≤27500

Answer: x≤360

Step-by-step explanation:

What is the area of the following circle?
Either enter an exact answer in terms of π 3.14 π and enter your answer as a decimal.

Answers

The area of the circle is 153.86

The formula is A = π r²

824 is between which two numbers ?

Answers

Answer:

823 and 825

Step-by-step explanation: i doubt this is what you meant but be more specific

The ratio of apples to oranges in a box is 2:6. There are 9 apples in the box. How many oranges are in the box?

Answers

Answer:

27 oranges

Step-by-step explanation:

Number of oranges are : 27

What is a ratio ?

The relation between two numbers which shows how much bigger one quantity is than other.

According to question ,

apples/ oranges = 2 / 6                           equation 1

now, substituting the number of apples in equation 1 , we get

9/oranges = 2/6

oranges = 9 * 6 / 2 = 27

number of oranges are 27

Lets learn more about ratio

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REPOST*
PLEASE HELP ANSWER THIS QUESTION
(ILL GIVE BRAINLIEST TO THE BEST ANSWER TOO)
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.

Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2

Each month's highest recorded temperature is plotted on the number line.

4. Which month had the coldest of the three temperatures? Explain.

Answers

#4

June is the most coldest.

How?

Mention the temperatures

January=+6°F

June=-24°F

November=-2°F

Lowest is the coldest .(June is the coldest month)

January = 6°F

June = -24°F

November = -2°F

By the above given observation we can say that June is the coldest as it has the lowest temperature in all.

Sam walked x miles at 4mph.
Then he walked 2x miles at 3mph.
A) find average speed for the whole journey.
The second part of journey took 25mins longer than the first part.
B) Find the value of x.

Answers

Answer:

Sam average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]

Step-by-step explanation:

Formula: Speed = [tex]\frac{Distance}{Time}[/tex]

i.e. Time = [tex]\frac{Distance}{Speed}[/tex]

If Sam walked x miles at 4 mph, then time taken by him = [tex]\frac{x}{4}[/tex] hours

If he then walked 2x miles at 3 mph, then time for this period =  [tex]\frac{2x}{3}[/tex]hours

Average speed = [tex]\frac{Total Distance}{Total Time}[/tex]

=[tex]\frac{x+2x}{\frac{x}{4} \frac{2x}{3} }[/tex]

=[tex]\frac{3x}{\frac{x1}{4} \frac{2}{3} }[/tex]

=[tex]\frac{3}{\frac{3+8}{12} }[/tex]

=[tex]\frac{3 x 12}{11}[/tex]

=[tex]\frac{36}{11}[/tex]

=[tex]3\frac{3}{11} mph[/tex]

Hence, Same's average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]

if josie missed 8 questions how many of them did she get correct

Answers

Answer:

Step-by-step explanation:

how many questions was it out of ?

but you must take away the 8 for the total amount of questions

Below are two parallel lines with a third line intersecting them.
20
93°

Answers

Answer:

x is 93 degrees

Step-by-step explanation:

They both are in the same place. If you were to cut the lines in half vertically through the center and over layed them they would be the same angle measure.

Dao has 2 3/8 pounds of hamburger meat. He is making 1/4 -pound hamburgers. Does Dao have enough meat to make 10 hamburgers?

Answers

Answer:

No

Step-by-step explanation:

1/4=2/8 2 3/8 divided by 2/8= 9 1/8 hamburgers

Ryan has a weekend job advertising an upcoming play. He has two options for being paid. Option
A is an hourly wage of $ 7.75. Option B is a 5% commission on all money made at the play. He
plans to work 7 hours each day on Saturday and Sunday. Ryan estimates the play will make about
$2,100 this weekend. Which option gives Ryan more earnings this weekend?
Choose the correct answer below.
0.4. Option A gives Ryan more earnings this weekend.
ОВ. Option B gives Ryan more earnings this weekend.
OC. Both options give Ryan the same amount of earnings.

Answers

Answer:

Option B gives Ryan more earnings this weekend

Step-by-step explanation:

Option A = $7.75×7 hours= $54.25

Option B= 5% commission, if the play gets $2100, he will earn $105

PLEASE HELP!! THIS COUNTS FOR 18 PERCENT OF MY GRADE!!!!

Answers

Answer:

question is blurry plz ss it carefully

Estimate.
245.7 + 5.8

Answers

Answer:

251.5

Step-by-step explanation:

5.8 = 005.8

245.7 + 5.8

= 245.7 + 005.8

= 251.5

Answer:

251.5

Step-by-step explanation:

245+5= 250

.7+.8 = 1.5

combine the like terms to create an equivalent expression
what is
2 x - x + 8​

Answers

Answer:

x + 8

Step-by-step explanation:

when theres just an x or any number there it is the same as 1x

2x - 1x = 1x / x

1x + 8 aka x + 8

BRAINLIST!!!!!

Lisa glued two pieces of wood together to make the letter L in her art class. She plans to paint all sides of it purple, including the base.

The longer piece of wood has dimensions of 2 inches by 2 inches by 6 inches. The shorter piece of wood has dimensions of 5 inches by 2 inches by 2 inches. How many square inches of purple paint will Lisa use to paint her letter L?

A.
74 square inches
B.
96 square inches
C.
104 square inches
D.
100 square inches

Answers

Answer:

immm go with A

Step-by-step explanation:

if im wrong plz tell me

Caroline wears a suit to work everyday. Caroline has 6 suits, 3 overcoats, and 4 pairs of shoes. How many different outfits can Caroline create? *

Answers

Caroline needs 1 suit, 1 overcoat, and 1 pair of shoes for an outfit. To find the number of different outfits, we can multiply the number of options for each group. 6 x 3 x 4 = 72 outfit options.

We can also think about it logically. For each suit, they have 3 different coats to wear. For each suit and coat combination, they have 4 different pairs of shoes to wear. So for each suit, there are 3 x 4 = 12 coat/shoe combinations. Since there are 6 different suits, they have 6 x 12 = 72 options.

3.7 to fractionkdxnxnwlwosxxjxjobe2ih3eduhggsxioqswgss

Answers

Answer:

37/10

ljjlljlln;knbhkl;;;;;;;;;;;;nj,

Glenda wants to find out how often people in her town visit the cinema.
She collects data from 10 people standing in a queue outside a cinema.

Answers

Answer:

huh your questions make no sense there has to be more

Step-by-step explanation:

A pencil making machine took 1⁄10 of a second to make enough pencils to fill 1⁄9 of a box. At this rate, how long would it take the machine to fill the entire box?

Answers

Answer: 9/10 of a second

It would take it 9/10 if a second.
Reason: if it take 1/10 of a second to fill 1/9 of a box multiply 1 by 9 and you have your answer.

Find the domain and range for graph 9 and 10 then tell if the graph is a function(write yes or no).

Answers

Answer:

Domain my guy is 8

Step-by-step explanation:

why? because I just 8 that answer, OOOOHHHHHHHHHHH!!!!!!!!!

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