Answer:
D
Step-by-step explanation:
The completely factored form is 6x² (3x - 4) (x - 1).
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
18[tex]x^4[/tex]– 42x³ + 24x²
Now,
The common factor of 18, 42, and 24 is 6.
And x² is common to all the terms.
So,
6x² (3x²– 7x + 4) _____(1)
Now,
(3x²– 7x + 4)
3x² - (4 + 3)x + 4
3x² - 4x - 3x + 4
x(3x - 4) - 1(3x - 4)
(3x - 4) (x - 1) ______(2)
Now,
From (1) and (2) we get,
6x² (3x - 4) (x - 1)
Thus,
6x² (3x - 4) (x - 1) is the completely factored form.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Let xy=6 and x2 + y2 = 23 what is the value of (x+y)??
Answer:
I'll assume that x2 = x^2 and y2 = y^2 and the answer is sqrt{35}.
Step-by-step explanation:
This problem invovles completing the square, so if I square (x+y), I get
x^2+2xy+y^2, and since xy = 6, 2xy = 12, 23+12 = 35, and your answer is sqrt{35}.
hey,what is bisexual
Choose the simplified form of the expression,
5x + 6x?- 2x + x
I need it fast please!!!
Answer:
10x
Step-by-step explanation:
If the question mark is an accident, the answer is 10x.
5x+6x-2x+x
11x-2x+x
9x+x
10x
Who is the better rapper Drake or Kendrick
Answer:
Drake
Step-by-step explanation:
Answer:
Drake
Step-by-step explanation:
What is the equation for the line?
Answer:it may be the first one but I can’t see the lines on the graph clearly.
Step-by-step explanation:
is 4:3 and 3:4 equivalent
Answer: No
Step-by-step explanation:
3) You paid $5 for a bucket of popcorn and $1.25 per candy bar. How many candy bars
can you buy to spend no more than $10?
4 dollars flat $4.00
Step-by-step explanation:
1.25x4= 5$ 5$+5$=10$
Answer:
4 candy bars
Step-by-step explanation:
you have to subtract $5 from $10, which is $5, then take the .25 from the candy bar. Add $4 candy bars to $5, $9, and then add in the .25. .25 times 4 is $1, and $9+$1 is $10
(-4b2+8b)+(4b3+5b2-8b)=
The solution of the expression (- 4b² + 8b) + (4b³ + 5b² - 8b) would be
(4b³ + b² ).
Used the concept of the equation that states that,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that,
The equation is,
(- 4b² + 8b) + (4b³ + 5b² - 8b)
Now, combine like terms of the equation and simplify as,
(- 4b² + 8b) + (4b³ + 5b² - 8b)
4b³ - 4b² + 5b² + 8b - 8b
4b³ + b²
Therefore, the solution is (4b³ + b² ).
To learn more about the equation visit:
brainly.com/question/28871326
#SPJ4
a group a friends share 3 1/2 slices of cake. each friend get half a slice of cake. how many friends shared the slices of cake.
Answer:
7
Step-by-step explanation:
3×2
6+1
7
You multiple it by 2 since it is 1/2 and not a whole piece
Answer:
7
Step-by-step explanation:
3 1/2 divided by 2 is 7
9+10
A.21 B.19 C.1 D.90
Answer: 19 XD
Step-by-step explanation: u add
Order the steps to show how to solve the equation 2(4x−11)+9=19.
Answer:
4
Step-by-step explanation:
2(4x-11)+9=19
8x-22+9=19
8x-13=19
8x=32
x=4
The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that was 9 days late. If his sister Sydney had a fee of $1.92 for a late book, how many days late was the book?
Answer:
16 days
Step-by-step explanation:
1.08 $:9 days
1.92 $: x
1.08 x: 17.28
x = 16
13 = 11 - 4x
Two step equation please help?
A zoo has 400 animals. If 40% of the animals are sick, how many animals is
that
Answer:
160 animals
Step-by-step explanation:
What is the measure of AC?
Answer:
The measure of AC is 4 and 46.
Step-by-step explanation:
I really need help with this ?
Answer:
Answer=44
Step-by-step explanation:
Rectangle: 6x4=24.
Triangle: 4x4=16, and 16/2=8.
Semicircle: Pi x radius squared, so pi x 2 squared is 16.something, and since it's a semicircle, we divide by 2, so it's 8 again.
Overall: 24+8+8=44 cm squared.
Which number is equivalent to –(–2)?
The first negative sign cancels out the second, so 2 is equivalent to -(-2).
2A double negative number becomes a positive.
-(-2) = 2
The answer is positive 2
what is a point-slope equation of the line with slope -10 that goes through the point (1,4)
Answer:
The answer is
[tex]y - 4 = - 10(x - 1)[/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
So we have the final answer as
[tex]y - 4 = - 10(x - 1)[/tex]
Hope this helps you
A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes per order through bin location and routing optimization. You are given an opportunity visit an existing customer of the vendor. The customer allowed you to collect data for further analysis. You performed a time study and collected data about pick, pack ship duration of 25 shipments. Given, the data in the attached excel sheet
(Q1) perform a hypothesis testing by Use alpha=0.05 for hypothesis testing.
a. Stating your null and alternate hypotheses
b. Perform the proper hypothesis test and discuss your assessment of the vendor's claim.
Answer:
a
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
b
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 3 \ minutes = 180 \ seconds [/tex]
The sample size is n = 25
The excel sheet is show on the first uploaded image
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{156 + 136 + \cdots + 181}{25}[/tex]
=> [tex]\= x = 173.2 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }[/tex]
=> [tex]\sigma = 24.261[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }[/tex]
=> [tex] z = -1.40[/tex]
Generally p-value is mathematically represented as
[tex]p-value = P(Z < z)[/tex]
=> [tex]p-value = P(Z < -1.40)[/tex]
From the z-table
[tex]P(Z < -1.40) = 0.080757[/tex]
=> [tex]p-value = 0.080757 [/tex]
From the obtained value we that [tex]p-value > \alpha[/tex]
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Which best describes the solution set of the compound inequality below?
Answer:
Option B. 4<=x<=6 is the solution set.
Select all of the nets that can be folded and assembled into a triangular prism like this one.
The correct options for folded and assembled into a triangular prism are;
Option A and Option D.
What is Triangle?
A triangle is a three sided polygon, which has three vertices and three angles.
Given that;
The triangular prism figure after fold is given.
Now, The triangular prism figure is contain two triangles and three squares.
So, In option A;
There are two triangles and three squares.
And, In option D;
There are two triangles and three squares.
Thus, The correct options for folded and assembled into a triangular prism are;
Option A and Option D.
Learn more about the triangle visit:
https://brainly.com/question/21735282
#SPJ5
What sets of numbers are included in the real numbers
Answer:
−3, −2, −1, 0, 1, 2, 3
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010.
Complete question :
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?
Answer:
$265,720
Step-by-step explanation:
Given that:
State gasoline tax = $0.26 per gallon
Average number of gasoline sold per day = 1,022,000 gallons
. From the availabke information given :
Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold
= $0.26 * 1,022,000
= $265,720
The average revenue from gasoline tax in 2010 is $265,720.
Calculation of the average revenue:Since the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day
So, here the average revenue should be
= 0.26 of 1,022,000
= $265,720
hence, The average revenue from gasoline tax in 2010 is $265,720.
This is an incomplete question. Please find the complete details below.
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?
Learn more about revenue here: https://brainly.com/question/16834673
4. Changer =
to an equiv-
1 + 2 sin e
alent rectangular equation.
Simplify the following expression............
PLEASE HELPPP! it’s due todayyyyy
The answer is 3k^2 m^6/ 4
You would put the first half on top of the four.
What is 2/5 + 1/4+7/10
Answer:
1 7/20
Step-by-step explanation:
Answer:
27/20 or 1 7/20
Step-by-step explanation:
1) make the denominators the same
2/5 multiplied by 4 on top and bottom =8/201/4 multiply by 5 = 5/207/10 multiply by 2 = 14/202) add the numerators
8+5+14=273) the denominator stays the same
27/204) simplify it to 1 7/20
134d) Graph the hyperbola, identify the center, vertices, foci, and equations of the asymptotes
49y^2−25x^2−196y−200x−1429=0
IF YOU ARE GOOD AT MATH, PLEASE HEAD OVER TO MY PROFILE, IN THE QUESTIONS TAB AND ANSWER THE QUESTIONS STARTING FROM THE ONE MARKED 132B!
best answers get marked 'brainliest'!
Thank you!
Answer:
Step-by-step explanation:
49y^2 - 25x^2 - 196y - 200x = 1429
49y^2-196y+196 - 25x^2-200x-400 = 1429+196-400
49(y-2)^2 - 25(x+4)^2 = 1225
(y-2)^2/25 - (x-4)^2/49 = 1
So now you know that you have an hyperbola with
center at (-4,2)
foci at (-4,2±[tex]\sqrt{74}[/tex])
vertices at (-4,2±5)
asymptotes 7y±20 = ∓5x+14
Complete this sentence: The shortest side of a triangle is always opposite the _____
A. second-longest side
B. longest side
C. angle with the smallest measure
D. angle with the greatest measure
By answering the above question, we may state that angle with the smallest measure, the smallest-measured angle
what are angles?An angle is a form in Euclidean geometry made composed of two rays, referred to as the angle's sides, that converge at a centre point known as the angle's vertex. In the plane where they are positioned, two rays may come together to make an angle. A planar collision produces an angle as well. Dihedral angles are what these are known as. A potential arrangement of two rays or lines that share a termination is called an angle in plane geometry. The Latin word "angulus," which means "horn," is where the English word "angle" originates. The intersection of the two rays, often referred to as the angles' sides, is known as the vertex.
angle with the smallest measure
To know more about angles visit:
https://brainly.com/question/14569348
#SPJ1
Which is equivalent to 3^4
Answer:
81
Step-by-step explanation:
3^4
=3*3*3*3
=81
Hope this helps!!
14÷5983 step by step