Factor the polynomial completely.
x^2 + x + 3

Answers

Answer 1

Answer:

(x+2)(x+1)

Step-by-step explanation:

(x+2)(x+1), if you FOIL, you will get back to the original equation


Related Questions

Your grandmother has given you $200 for your birthday! You decide to
use that money and start saving to buy a used car. The car costs $6500,
and you know that you can save $350 each month. How many months will
you need to save so that you can buy this car? (Don't forget you already
have $200 from your grandma) *

Answers

Answer:

18

Step-by-step explanation:

6500= 200+ 350x

x=18

Answer:

id say eighteen

Step-by-step explanation:

John is creating a shed in his backyard he wants to use brick for the front side with the door using the given brick how many will he need to cover the front of the shed

Answers

Answer:

180 bricks.

Step-by-step explanation:

The dimensions of the front of the shed are 30 x 12.

30 x 12 = 360

The dimensions of the brick are 2 x 1.

2 x 1 = 2.

360/2 = 180.

!! Please help!!
With the exception of 1 and 63, find all the numbers that divide into 63 with no remainder
A. 2, 3,6
B. 3,9,21
c. 3,7
D 3,7,9, 21
E, 3,7,9

Answers

Answer:

the factors of 63 are:

1,3,7, 9, 21, 63

D. 3, 7, 9, 21, 63

Step-by-step explanation:

The answer is D. 3, 7, 9, 21

Set up as equal rates and solve. The distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. How many miles is it from Pensacola to Miami if the distance on the map measures 27 inches?

Answers

We have been given that the distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. We are asked to find the actual distance from Pensacola to Miami if the distance on the map measures 27 inches.

We will use proportions to solve our given problem as proportion states that ratio between two proportional quantities is similar.

[tex]\frac{\text{Actual distance}}{\text{Map distance}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]

[tex]\frac{\text{Actual distance}}{\text{27 inches}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]

[tex]\frac{\text{Actual distance}}{\text{27 inches}}\times \text{27 inches}=\frac{200\text{ miles}}{\text{8 inches}}\times \text{27 inches}[/tex]

[tex]\text{Actual distance}=\frac{25\text{ miles}}{1}\times 27[/tex]

[tex]\text{Actual distance}=675\text{ miles}[/tex]

Therefore, the actual distance from Pensacola to Miami is 675 miles.

Can someone help me on this one.

Answers

1. 6km/h
2. 10 minutes

Answers:

a) 6km/hour

b) 10 minutes

Step-by-step explanation:

a) after 30 minutes, Jo had walked 3km which means that after 1 hour

(30mins x 2), Jo would have walked 6km (3km x 2).

∴ Jo walks 6km/hour for the first 30 minutes

b) after 30 minutes, there is a flat line on the graph that stretches from 30 minutes to 40 minutes. The flat line indicates that Jo covered NO distance and was therefore taking a break. from 30 mins to 40 mins is 10 mins

∴ Jo's rest was 10 mins long

Hope this helps :-)

What is the probability of spinning red on the image shown?


Answers

Answer:

37.5%

Step-by-step explanation:

Red is 3/8 so you convert that into a percentage.

WILL MARK BRAINLIEST:
Hello! So I need to know HOW to do this. Please don't do the work for me, I just need an explanation. thank you!

Answers

Answer:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Answer:

as the other guy said, scientific notation in simple words is expressing large quantities in terms of being multiplied with powers of 10

hence,

11. 7.5 x 10^6

12. 2.9 x 10^5

13. 3.7 x 10^(-4)

14. 1.26 x 10^4

15. 2 x 10^(-7)

16. 4 x 10^(-3)

17.6 x 10^7

18. 4.07 x 10^7

19. 8.1 x 10^(-4)

20. 1.25 x 10^(4)

The function h(x) = x + 1 is formed by adding two functions, f(x) and g(x). The function j(x) = 3x – 6 is formed by multiplying the same functions. Which could be true of f(x) and g(x)? Check all that apply.
Both functions must be linear functions.
Both functions must have a positive rate of change.
The rate of change of both f(x) and g(x) must be less than 3.
The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
The y-intercepts of f(x) and g(x) must be between –6 and 1.

Answers

Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.

Step-by-step explanation:

The true statements about the functions f(x) and g(x) are (a), (c) and (d)

How to determine the true statement?

The functions are given as:

h(x) = x + 1

j(x) = 3x - 6

From the question, we have:

h(x) = f(x) + g(x)

j(x) = f(x) * g(x)

Expand the function j(x)

j(x) = f(x) * g(x) = 3 * (x - 2)

By comparison, we have:

f(x) = 3

g(x) = x - 2

f(x) + g(x) = 3 + x - 2

f(x) + g(x) = x + 1

This gives

h(x) = x + 1

By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:

Both functions are linear functionsThe rates of change of the functions are less than 3The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.

Hence, the true statements are (a), (c) and (d)

Read more about linear functions at:

https://brainly.com/question/4025726

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!

Answers

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Multiply
(2x + 4)(2x - 4)

Answers

Answer:

4x^2 -16

Step-by-step explanation:

(2x + 4)(2x - 4)

FOIL

first:2x*2x = 4x^2

outer: -4 *2x = -8x

inner:  4*2x = 8x

last: -4*4 = -16

Add them together

4x^2 -8x+8x =-16

4x^2 -16

The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.

What is the simplified form of the expression?

Given the expression in the question:
(2x + 4)(2x - 4)

We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.

(2x + 4)(2x - 4)

Apply the FOIL method:

2x( 2x - 4 ) + 4( 2x - 4 )

Apply distributive property:

2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4

Multiply the terms:

4x² - 8x + 8x - 16

Collect and add like terms:

4x² - 16

Therefore, the simplified form is 4x² - 16.

Learn more about the FOIL method here: https://brainly.com/question/27980306

#SPJ6

Giving Brainliest to teh right answer! Come quick!

Answers

Answer:

x=65

Step-by-step explanation:

145 and 2x+15 are vertical angles meaning that they are congruent to each other. Subtract 15 from both sides, and divide by 2 giving x=65.

Hope this helps!

Find the area of the sector.

Answers

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

r is 19m

37/360 * 22/7 * 19 * 19

Area = 116.61 m^2

ariq’s design for a swimming pool is shown here. What is the area of the pool cover needed for the design?

____ ft^2

Answers

Answer:

it’s 76 ft squared

Step-by-step explanation:

happy to help:)

find the area of the composite figure

Answers

Answer:

Quickly learn how to find the Area of Composite Figures in today's geometry lesson. With 19 worked examples, you'll have everything you need ...

Step-by-step explanation:

A used book sale charged $7.50 for hardcovers and $1.25 for paperbacks. During the sale, 15 hardcovers were sold and the sale earned $166.25. Write and solve an equation to determine the number of paperbacks, p, that were sold.

20 points i think

Answers

Answer:

43 paperback books

Step-by-step explanation:

7.50(15) + 1.25x = 166.25

112.50 + 1.25x = 166.25

Subtract 112.50 from both sides

(112.50 - 112.50) + 1.25x = (166.25 - 112.50)

1.25x = 53.75

Divide 1.25 from both sides

x = 43

The population P of birds in an area is modeled by the exponential model

P(t) = 30e-95t where t represents time in years.

Is the population of birds increasing or decreasing?

a. Increasing

b. Decreasing

Answers

(B)Decreasing is the answer

1/3 x 1 1/4 as a fraction

Answers

Answer:

11/12

Step-by-step explanation:

1

3

(

11

4

)

=(

1

3

)(

11

4

)

=

(1)(11)

(3)(4)

=

11

12

(Decimal: 0.916667)

PLease mark me brainllest!!!

The given equation in fraction should be [tex]\frac{5}{12}[/tex]

Calculation of the fraction:

Since two fractions are given i.e. [tex]\frac{1}{3}[/tex] and [tex]1 \frac{1}{4}[/tex]

We have to multiply these two in fractions

So,

[tex]= \frac{1}{3} \times 1\frac{1}{4}\\\\ = = \frac{1}{3} \times \frac{5}{4} \\\\= \frac{5}{12}[/tex]

Therefore, we can concluded that The given equation in fraction should be [tex]\frac{5}{12}[/tex]

Learn more about fraction here: https://brainly.com/question/17748421

The sum of three consecutive terms of an A.P is 18 and their product is 120. Find the terms?​

Answers

Answer:

2 6 10

Step-by-step explanation:

Part A The dot plot shows the daily lunch money of a group of students. ​Each dot represents one student. ​ ​ ​What is the mean daily pocket money? A $1.50 B $2.00 C $2.15 D $2.20 ​ ​Part B What is the mode of the daily pocket money? ​ Answer:

Answers

Answer:

Mean= $ 1.96

Mode= No mode

Step-by-step explanation:

Mean is the value obtained by dividing the sum of all the observations by their numbers.

Mean is obtained by dividing the total number of the values with the number of values.

Mean= x1+ x2+ x3 + x4/ 4

Mean = $ 1.5 + $ 2.0 + $ 2.15 + $ 2.20/4=  7.85/4=  1.9625or 1.963 or $ 1.96

Mode is the most frequent occurring value in a data set. But since all the values in the given set occur only once the data does not have any mode .

There is no mode because  every value has the same frequency, that is it occurs the same number of times.

Stephen opened a savings account with $100. He deposits $ 20 every time he mows a lawn during the summer. He wants at least $400 in his
account by the end of the summer Leten be the number of lawns Stephen mows.
which inequality can be used to determine the number of lawns Stephen needs to mow?
A 100 + 20 < 400
B 100n + 20 S 400
C 100+ 20n > 400
D. 100 + 200 2400

Answers

Answer:

c

Step-by-step explanation:

What is an equation of the line that passes through the point (4, -3) and is
perpendicular to the line
4x +y = 3?

Answers

Answer:

y = 1/4x - 4

Step-by-step explanation:

If you put the equation in slope-intercept form y=mx+b, then you have y=-4x+3, so the slope is -4. Then take the negative reciprocal of that so you have the perpendicular slope 1/4. Plug in x, y, and, m into the equation and solve for b.

-3 = 1/4(4) + b

-3 = 1 + b

-4 = b, then rewrite the equation with the new slope and the b you found.

y = 1/4x - 4

PLS I MARK BRAINLIEST I ONLY HAVE 30 MINS LEFT
You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work AND I NEED TO KNOW HOW YOU DID IT IT SAYS SHOWYOUR WORK

Answers

Hello there i hope you are having a great day :) Your question: You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? How to do it :1) 16 2/3 inches this would equal to 50/3 then all together that would equal to 250/9.2) Then you would divide it 250/9 ÷ 2 = 125/9 = 13 8/9 and that would be your answer.Hopefully that helps you ❤

Find the volume of the planets

Answers

Answer:

can you show the planets. or do you want real planets volumes?

Are you going to insert a picture?

PLEASE HALP!!!!

Carlos wants to get an average of 86% in his science class. The science
teacher has given 5 tests. Carlos's scores on 4 of the tests have been 85%,
89%, 90%, and 82%. What score does Carlos need to get on the 5th test to
get a mean score of 86%?
O A) 81
OB) 84
OC) 86
OD) 92​

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

B. 84

 (85+89+90+82+x)/5=86

so x=84

The exponential function f, represented in the table, can be written as
f (x)=a*b^x

x | y
___
0|5
1 | 8

Answers

Answer:

f(x) will be 11

Step-by-step explanation:

since the first 1 is (0,5) the (0,8) so +3 so next would be 11

Answer:

5(8/5)^x

Step-by-step explanation:

can someone helpp ??

Answers

Answer:

21.24°

Step-by-step explanation:

I hope it helps :)

Percentages less than 100% definition

Answers

Answer:

fractions

Step-by-step explanation:

Answer:

A number or ratio expressed as a fraction of 100

Step-by-step explanation:

Use outside of percentages but reused under 100 when explained.

Steepness of a hill or gradient of a line =   rise/run x 100

On a graph the numbers go from 0 for flat, to 100% at 45 degrees, to infinity as it approaches vertical.

Percentage is Tangent of a circle as where it meets it angle it always is intercepted by the circumference or new angle and becomes less than 180 as it forms a leg of a shape, or a side and 1% represents 100 x 0.01000033334% in Radians as another example. we multiply by 100 and get 1 Rad or a 180 degree line.  Broadness of usefulness in percentage is the ratio so 1% of a radian can be the decimal above, and 100% of 1 rad = 180/pi =57.2957 We find a semi-circle has an arc length of pi*r and also that it is 180 degrees. From that you can conclude that the number of degrees in a radian is 180/pi and shows 50% of the circle but 100% of 1 radian.

What do the stage directions at the end of the excerpt indicate?

Answers

Answer:

The stage direction at the end of an excerpt are used to provide information about how the characters should move or speak on stage.

Answer:

The stage direction at the end of an excerpt are used to provide information about how the characters should move or speak on stage.

Step-by-step explanation:

22 .Siswa dapat menganalisis persamaan menggunakan identitas trigonometri
a) cot x.cos x per cosec x
b) cos pangkat 4 x - sin pangkat 4 x​

Answers

It best you ask your teacher

A pitcher can hold 8 times as much as a glass. The pitcher holds 64 ounces.
Which model shows this comparison?
54 ounces
Glass ?
Pitcher ??????
Glass ?| ?| ?| ?| ?| ?| ?| ?
Pitcher ?
54 ounces
3 ounces
Glass ????
Preher ????
Glass
Pitcher
54 ounces
84 ounces

Answers

Answer:

Im guessing this i might be wrong

54 ounces

3 ounces

Step-by-step explanation:

Answer:

To be honest i think 54 ounces and 3 ounces

Step-by-step explanation:

i was going to say 54 and 84 but i said to myself that didn't make any sense if it is 84 let me know plz

Hope this helpsHope this is right
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