Answer:
B
Step-by-step explanation:
Using long division, what is the quotient of 3x^4 + 20x^3 + 14x^2 + 17x + 30 and x + 6 ?
Answer: D
The first: (x+6)(3x3+2x2+2x+5)
The second:
factor x+6
Cannot factor
Step-by-step explanation: hope this help
The quotient is [tex]3x^3+2x^2+2x+5[/tex]
The correct answer is an option (D)
What is polynomial?"A mathematical expression which is composed of variables, constants and exponents, that are combined using the mathematical operations."
What is long division?"It is a method for dividing one large degree polynomial number into smaller degree polynomials."
What is quotient?"It is the result of the division of a polynomial by any other polynomial."
For given question,
We have been given polynomials [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] and [tex]x+6[/tex]
We need to find the quotient when [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] is divided by x + 6.
Using long division the division of [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] and [tex]x+6[/tex] is shown below.
Therefore, the quotient is [tex]3x^3+2x^2+2x+5[/tex]
The correct answer is an option (D)
Learn more about the long division here:
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Write the equation of the line in point-slope form that goes through the point (3, -4) and has a slope of 6. '
6) The quotient of seven and a number. added to ten
w
Answer:
x+10 = x + 11
How do I do this please hurry!!!!!!
Answer:
put a closed dot on -10. then draw a right arrow from -10 to 11
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Whenever the sign is greater than, the line needs to go to the right. Moreover, when it also is equal to, the dot must be shaded. The dot also needs to be on -10 in this instance.
In short, shaded dot on -10 going to the right.
PLEASE HELP I WILL GET DETENTION
Answer:
b) 12 is right answer
I hope it's helps you
If pair of dice are rolled, what is the probability of getting (i) A total of 9. (ii)
Same faces on both dices.
Answer:
I) 1/9; II) 1/6.
Step-by-step explanation:
I) a total of 9 is possible, if: 4+5; 5+4; 3+6; 6+3.
The probability of 4+5 is 1/6*1/6; of 5+4 is 1/6*1/6, of 3+6 is 1/6*1/6; of 6+3 is 1/6*1/6.
The required probability is:
1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=1/36 *4=1/9.
II) the same faces on both dices is possible, if: 1+1; 2+2; 3+3; 4+4; 5+5; 6+6.
The probability of 1+1 is 1/6*1/6; of 2+2 is 1/6*1/6; 3+3 is 1/6*1/6; 4+4 is 1/6*1/6; 5+5 is 1/6*1/6; 6+6 is 1/6*1/6.
The required probability is:
1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=6* 1/36=1/6
Brian pays £275.23 a year on his car insurance
the insurance company increase the price by 2.6%
how much does the insurance cost now ?
give your answer rounded to 2DP
Answer:
282.39
Step-by-step explanation:
1. Find the amount of money it increases by
275.23 * 0.026 = 7.156
2. Add the amount it increases by to the original price
275.23 + 7.156 = 282.39
Final answer
282.39
will mark brainliest if help
Answer:
2 Gallons (J/D)
Step-by-step explanation:
First you add all the cups together, which is 32, and then knowing that there is 16 cups in a gallon you divide 32 by 16 and that is 2!
I hope this helps, and have a nice day! :)
find the inverse of the function f (x) =2x - 5
3(t+1)=18 solve this probem with work
Answer:
t = 5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(t+1)=18
(3)(t)+(3)(1)=18(Distribute)
3t+3=18
Step 2: Subtract 3 from both sides.
3t+3−3=18−3
3t=15
Step 3: Divide both sides by 3.
3t/3 = 15/3
t = 5
how fast is a car going if it travels 15 meters in 5 seconds?
The car is traveling 3 meters second
Step-by-step explanation:
you divide 15 by 5 and you get 3
Answer:
3 m/s / 10.714 km/hr
Step-by-step explanation:
15m/5s
3m/1s
3m ÷ 1000 = 0.003 km
1s ÷ 3600 = 0.00028 hr
0.003 km/ 0.00028 hr
=10.714 km/hr approx.
I will give brainiest to whoever answers correctly !!
Which inequality is NOT true if y = -5?
A 2y - 10 > 13
B
- 14 + 6y < 8
C3y +9> -15
D-24 - 4y <-3
Answer:
b
Step-by-step explanation:
A researcher is investigating the number of hours a given individual spends online on a given day during the current 2020 pandemic in the United States. She randomly selects 30 individuals and collects the following responses:
15 12 6.2 7 5.5 2 4 5 10 11 7 6 4 7 0
1 5 3.2 4 10 6 2 10 1.5 5.1 6.4 8 14 3 2
Required:
What calculation is preferred for the central tendency and spread if the distribution of values is skewed?
Answer:
Median
Step-by-step explanation:
Usually, in statistics when we have a skewed distribution, to calculate the central tendency and spread we usually calculate the median.
Thus, the calculations preferred in this case is median.
What is the value of x? Enter your answer in the box.
Answer:
Vertically opposite angles are equal.
Therefore,
[tex](4x + 7) = 5(x - 4) \\ 4x + 7 = 5x - 20 \\ \boxed{x = 27}[/tex]
x=27 is the right answer.Find an equation of the line perpendicular to the graph of 8x + 2y = 6 that passes
through the point of (2,3).
Which line graph represents the table of values shown below?
X Y
0 1
3 4
5 6
Answer:
D
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
the points line up on graph D
Choose a point on the terminal side of theta theta= 5pi/4
Answer:
Step-by-step explanation:
The
would most likely be used to
convince home owners that it is a good time to
sell.
Answer:
Bottom Graph
Step-by-step explanation:
Find the third side in simplest radical form:
20
21
Answer:
Craig has £13.40
He sees this offer in a restaurant:
Main courses £8.90 each. Buy one main course and get the 2nd HALF PRICE!
Can he afford to buy two main courses? Show your working.
A square has a side length of 36 fr. This square is dilated by a scale factor of 2/3 to create a new square. What is the side length of the new square?
Answer:
The side length of the new square is 24 ft.
Step-by-step explanation:
Dilations
A dilation is a transformation that produces a new image that is the same shape as the original but of a different size.
A dilation stretches or shrinks the original figure. To describe a dilation it's usually included the scale factor (or ratio) and the center of the dilation.
We have a square with a side length of 36 ft. When this square is dilated by a scale factor of 2/3, the new square will have a side length of 36*2/3= 24 ft.
The side length of the new square is 24 ft.
Answer:
24 feet
Step-by-step explanation:
got it right on ttm :)
"" Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −9) and parallel to the line x = −1 + 3t, y = 6 − 3t, z = 3 + 7t
Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,
x(t) = -1 + 3t
y(t) = 6 - 3t
z(t) = 3 + 7t
by differentiating (t) component-wise:
T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉
T = 〈3, -3, 7〉
Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.
Then the vector equation of the new line is
tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉
with parametric equations
x(t) = 3t
y(t) = 11 - 3t
z(t) = -9 + 7t
Which statement must be true?
Answer:
Step-by-step explanation:
The answer is B.
For A. its not true, the two triangles show that XW and RS are equivalent.
For C. its not true, the two triangles show that m<R is equal to m<X, not m<R=m<Y.
For D, its not true, the two triangles show that m<X is equal to m<R, not m<R=m<Y.
The two triangles show SSA, which prove that the triangle is equivalent. So, then, corresponding sides are considered equivalent. As a result, you can assume that ST=WY.
A market sells 6 cans of food for every 7 boxes of food. The market sold a total of 26 cans and boxes today. How many
of each kind did the market sell?
6 cans and 20 boxes
12 cans and 14 boxes
14 cans and 12 boxes
20 cans and 6 boxes
-3+6x=25-8x solve for x
Answer:
6x+8x = 25+3
14x = 28
x =2
Step-by-step explanation:
When we take something to other side of equal sign it changes sign.
Answer:
X=4
Step-by-step explanation:
You simplify and then get x alonE
bob buys a computer during the sale. There was a discount of 25%. If the original price is $500. What is sale price?
Answer:
$375
Step-by-step explanation:
If the discount was 25%, that means Bob bought the computer at 75% of original.
75% of 500 = 3/4 * 500 = $375
I hope this helps! :)
If AB + BC = 24 and AB = 10, then 10 + BC = 24 is an example of the?
Symmetric Property
Substitution Property
Addition Property
Reflexive Property
Given that,
AB + BC = 24 and AB = 10, then 10 + BC = 24.
To find,
The above expression is an example of what?
Solution,
We have,
AB + BC = 24 ....(1)
and
AB = 10
Substitute AB = 10 in equation (1).
10+BC=24
BC = 24-10
BC = 14
Therefore, we have used Substitution Property. Hence, the correct option is (2).
What’s the missing number?
Step-by-step explanation:
Notice that:
1st column = (5 - 1)² = 16
2nd column = (11 - 4)² = 49
Therefore 3rd column = (18 - *)² = 121, * = 7.
Answer:
7 is the missing number
Step-by-step explanation:
Let the missing number be x.
Lets study the pattern of the numbers. In each column , we find that the bottom number is the square of the difference of first 2 numbers.
In 1st column ,
Difference of first 2 numbers = 5 - 1 = 4
The bottom number = 16 = 4²
In 2nd column ,
Difference of first 2 numbers = 11 - 4 = 7
The bottom number = 49 = 7²
Similarly ,
Difference of first 2 numbers = 18 - x
The bottom number = 121
[tex] = > {(18 - x)}^{2} = 121[/tex]
[tex] = > {(18 - x)}^{2} = {11}^{2} [/tex]
[tex] = > 18 - x = 11[/tex]
[tex] = > x = 18 - 11 = 7[/tex]
-4x-y=24
Complete the missing value in the solution to the equation.
Answer: x is -6
Step-by-step explanation:
Which of the following describes a situation for finding volume?
A) The amount of cereal inside a cereal box
B) The amount of space a garden takes up in the backyard
C) The total square feet of a kitchen floor
D) The amount of floor space that a rug covers
Answer:
A) The amount of cereal inside a cereal box.
Hope this helps
To solve the problem we must know about the volume.
What is Volume?Volume is described as the total amount of space taken by an object. It is a scalar quantity and it is 3 dimensional.
The amount of cereal inside a cereal box has volume.
As we know that the cereal box has space inside to hold something therefore, the cereals or something can be put inside this that will make the space inside the box. Also, the box has length, breadth, and height, therefore, it is 3 dimensional.
Hence, the amount of cereal inside a cereal box has volume.
Learn more about Volume:
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