Answer:
By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;
[tex]x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}[/tex]
Step-by-step explanation:
The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6
The polynomial that divides the given polynomial is x + 1
Therefore, we have;
[tex]\ \ \ \ \ \ \ \ \ \ \ \ x^2 + 5\cdot x + 7\\ (x + 1) \sqrt{x^3 + 7\cdot x^2 +12\cdot x + 6} \\\ {} \ {} \ {} \ \ {} \ {} \ {} \ {} \ {} \ {} \ {} \ \ x^3 + 2 \cdot x^2 \\\ \ \ \ {} \ \ {} \ {} \ {} \ \ {} \ {} \ \ \ {} \ {} \ {} \ \ {} \ {} \ {} \ \ 5 \cdot x^2 + 12\cdot x + 6\\ \ {} \ {} \ {} \ {} \ {} \ {} \ \ {} \ {} 5 \cdot x^2 + 5\cdot x\\\ 7\cdot x+6\\7\cdot x+7\\-1[/tex]
(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1
Expressing the result in the form [tex]q(x) + \dfrac{r(x)}{b(x)}[/tex], we have;
[tex](x^3 + 7\cdot x^2 + 12 \cdot x + 6)\div (x + 1) = x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}[/tex]
12 square + 9 square= c square
Answer:
21 square I think bc 9 + 12 = 21
Step-by-step explanation:
Answer:225 squ.
Yw*-*
which statement is always true about a parallelogram?
Answer:
Option C will be your answer
Step-by-step explanation:
have a nice day and good luck!! :)
Turn this fraction into a decimal. Show your work. 13/16.
Answer:
0.8125
Step-by-step explanation:
First , we all know that fraction is like division.
So I divided 13 by 16
Then I got my answer
Answer:
.812
Step-by-step explanation:
13/16 = .812
The fraction sign also means to divide, so all you do is 13/16 = .812
Work:
First, multiply 13 by 10^1 to get 130, then you can divide.
[tex]\sqrt[16]{130} \\[/tex] = 8.12. Finally, you take the 10^1 you did from 130 and divide 8.12 to get .812
Find the median of the data in the dot plot below.
centimeters
Height for each toddler
at Ms. Cabrera's daycare
Loi
:
Es
+
+
+
80
81
82
83
84
85
86
Height (centimeters)
AY
Using it's concept, it is found that the median of the data in the dot plot is 83.5.
What is the median of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
The dot plot gives the number of times each measure appears, hence in this problem, the data-set is composed by:
{81, 82, 83, 83, 84, 84, 85, 85}
Even cardinality, hence the median is the mean of the two middle elements, 83 and 84, hence:
M = (83 + 84)/2 = 83.5.
The median of the data in the dot plot is 83.5.
More can be learned about the median of a data-set at https://brainly.com/question/22481790
Help me pleaseeee!!!
Answer:
90 degree angle
Step-by-step explanation:
If AB=4 feet & AD=10 feet & m
What is DC?
What is BD?
What is m
What is m
Answer:
1. DC = AB = 4 ft
2. BD = 10.80 ft
3. m<CED = [tex]90^{0}[/tex]
4. m<EBC = [tex]65^{o}[/tex]
Step-by-step explanation:
From the given quadrilateral,
Given: AB = 4 ft, AD = 10 ft and m<BAE = 65.
1. DC = AB = 4 ft (opposite sides of a parallelogram are equal)
2. Applying the Pythagoras theorem to ΔABD, we have;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]BD^{2}[/tex] = [tex]4^{2}[/tex] + [tex]10^{2}[/tex]
= 16 + 100
= 116
BD = [tex]\sqrt{116}[/tex]
= 10.7703
BD = 10.80 ft
3. m<CED = [tex]90^{0}[/tex] (the diagonals bisects each other at right angle)
4. m<ABC + m<BAC + m<ACB = 180
90 + 65 + m<ACB = 180
m<ACB = 180 - 155
m<ACB = [tex]25^{0}[/tex]
So that,
m<BEC + m<EBC + m<ECB = 180
90 + m<EBC + 25 = 180
m<EBC = 180 - 115
m<EBC = [tex]65^{o}[/tex]
anyone got ph recommendations lol
Answer: hmmmmmmmmmmmmmmmm no sorry
Step-by-step explanation: thanks for the points tho G
PLS ANSWER ASAP WHOEVER ANSWERS FIRST AND ANSWWRES CORRECTLY WILL GET BRAINLIEST AND WILL GET A THANK YOU
Answer:it’s the 3rd
Step-by-step explanation:
Answer:
7y+8
Step-by-step explanation:
You add all of the X's together and the singular numbers together to get the answer
what is the domain of y=Vx+7+5
Answer:
The Domain is x>-7 or C
The Range is x>5 or b
Step-by-step explanation:
edge
The domain of the function y = √(x+7) + 5 is [-7, ∞).
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The given equation is y = √(x+7) + 5.
For the expression under the square root to be non-negative, we must have x + 7 ≥ 0.
The domain of the function is all real numbers greater than or equal to -7.
Thus,
The domain of the function y = √(x+7) + 5 is [-7, ∞).
Learn more about functions here:
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go pico go go go go pico go (help me answer this )
Answer:
a
Step-by-step explanation:
How do I do Angle Measures of Parallel Lines
Answer:
Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.
Step-by-step explanation:
explain how the following diagram demonstrates the pythagorean theorem?
Answer:
the largest block represents the hypotenuse which would be c² the smallest can either be a or b and the block thats left over will be the letter you didn't use for the small block so in terms the blocks represents a²+b²=c²
[tex]\bold{a^2+b^2=c^2}[/tex] is indeed the Pythagorean theorem. It implies that adding the hypotenuse square as well as the two sides of a right triangle equals the hypotenuse square.
Calculating value by using the Pythagorean theorem:The smallest side of the triangle in this instance contains 36 squares, which equals [tex]\bold{6^2}[/tex]. The triangle's bigger side has 64 (or [tex]\bold{8^2}[/tex]) squares. You get 100 by multiplying 36 and 64, which is the same as [tex]\bold{10^2}[/tex]. Using the formula [tex]\bold{a^2+b^2=c^2}[/tex], you should arrive at [tex]\bold{6^2+8^2=10^2}[/tex].Find out more information about the Pythagorean theorem here:
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Hannah decided to make finger gelatin for a huge children’s party. She had to make 8 packs of gelatin. Each pack needed 2 cups of water. How many quarts of water will she need? a 8 quarts
b 3 quarts
c 4 quarts
d 6 quarts
Answer:
C.) 4 quarts
Step-by-step explanation:
(Keep in mind that 4 cups=1 quart
1 pack=2 cups2 packs=4 cups/1 quart3 packs=6 cups4 packs=8 cups/2 quarts5 packs=10 cups6 packs=12 cups/3 quarts7 packs=14 cups8 packs=16 cups/4 quarts16 cups=4 quartsHope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
Answer:
4 quarts
Step-by-step explanation:
8x2c= 16oz
16oz÷2c= 8pt
8pt÷2pt=4qt
4QT
122213434234=13341612356=??
Answer:
1226778109
Step-by-step explanation:
PLEASE ANSWER! I NEED THE ANSWER IN THE NEXT HOUR! The table shows the number of teams remaining in each round of a tournament. Is the number of teams linear function of the number of rounds? Explain.
Answer:
No
Step-by-step explanation:
The equation would be 32 times (1/2)^x.
Linear equations won't have exponents, because this is an exponential equation.
How do people do taxes?
Answer:
Like do a form on the internet or do a form in mail
Step-by-step explanation:
Matt needs to buy 13 cases of oil. Each case contains 24 bottles. How many bottles of oil will Matt have?
Answer:
312
Step-by-step explanation:
24×13=312
Hope that helps
Which equation represents the following quadratic equation written in vertex form?
x2 + 4x - 2= 0
the Answer is x= -- 2 + V 6
The manager of a music store surveyed a random sample of customers who shop in the store about their favorite type of music. The table shows the number of customers who selected each type of music.
Answer:
C
Explanation:
Add all the people of the compared categories together
5 + 9 + 12 = 26
26 < 27 is true
therefore, C
How many centimeters of cubic amounts to the volume of the cube with a edge of 0.1 m
Answer:
[tex]V=1000\ cm^3[/tex]
Step-by-step explanation:
The edge of the cube, a = 0.1 m
We need to find the volume of the cube. The formula for the volume of the cube is given by :
[tex]V=a^3[/tex]
Put the respected values,
[tex]V=(0.1)^3\\\\V=0.001\ m^3\\\\or\\\\V=1000\ cm^3[/tex]
So, the volume of the cube is equal to [tex]1000\ cm^3[/tex].
Write an expression for 11 more than a
Answer:
a + 11
Step-by-step explanation:
a + 11
a is the variable, plus 11.
click on me for a picture!
- HERES A BETTER EXPLANATION: Angle 1 is 140°. You need to find the value of angles, 2, 3, and 4. I’m pretty sure everything should add up to 360°
Answer:
140
Step-by-step explanation:
1 and 3 are vertical angles meaning they are equal. 4 and 3 make a straight angle. A straight angle is 180.
180-140=40
2 and 4 are straight angles so should be equal.
1=140
2=40
3=140
4=40
Let x=−118 and y=−114 .
Which expression has a negative value?
Multiple choice question.
A)
x+y
B)
x−y
C)
x·y
D)
xy
Answer:
A
Step-by-step explanation:
negative +negative =negative
32 + x = -12
What is the very first step?
Answer: The first step would be to subtract 32 from both sides.
Step-by-step explanation:
The answer to the whole equation is -44.
To get -44 you need to get rid of the 32 to get the x to be alone.
Which function is graphed
Answer -2-
Step-by-step explanation:
Write the equation for the line below in y=mx form.
Use an area model to multiply (3x+7)(4x+5).
Fill in the blanks with the correct numbers.
(blank) x^2+(blank) x+(blank)
Answer: 12x^2 + 43x + 35 (if you go to k12)
Step-by-step explanation: took the quiz :) (also, sorry forgot to actually answer..)
After multiplication, we get [tex]12x^{2} +43x+35[/tex]
Multiplication :We have to multiply,
[tex](3x+7)(4x+5)[/tex]
Now multiplying both term,
[tex]=(3x+7)(4x+5)\\\\=12x^{2} +15x+28x+35\\\\=12x^{2} +43x+35[/tex]
After multiplication, we get [tex]12x^{2} +43x+35[/tex]
Learn more about quadratic equation here:
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Nina pays $32.67 to mail a package. It costs $0.45 per ounce to mail package. How much does Nina's package weight?
A group of friends wants to go to the amusement park. They have no more than $245 to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?
Answer:
25.75x+9.25
Step-by-step explanation:
9.25 is the constant. You multiply the ticket by the amount of people to get ticket cost. Then you add ticket cost 9.25 to get final answer.
Inequality is 9.25 + 25.75 × p ≤ 245 which represents the maximum number of people who can go to the amusement park.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been given that the group of friends has no more than $245 to spend on parking and admission.
And the parking is $9.25, and tickets cost $25.75 per person, including tax.
Let the number of people would be p who can go to the amusement park,
So the inequality that expresses the relationship is
⇒ 9.25 + 25.75 × p ≤ 245
Therefore, inequality is 9.25 + 25.75 × p ≤ 245 which represents the maximum number of people who can go to the amusement park.
Learn more about the inequalities here:
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If ABCD is a parallelogram, m
supplementary)