Answer:
2 Packages of Napkins, 3 Packages of Cups
Step-by-step explanation:
12 * 2 = 24
8 * 3 = 24
Answer:
3 packages of cups and 2 packages of napkins
Express the polynomial as a product of linear factors.
f(x) = 2x2 + 4x2 - 2x - 4
O A. (x-2)(x + 1)(x - 1)
O B. (x-2)(x-2)(x-1)
O c. 2(x + 2)(x + 1)(x-1)
O D. (x-4)(x + 1)(x-1)
The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)
We have,
To express the polynomial f(x) = 2x³ + 4x² - 2x - 4 as a product of linear factors, we can use a technique called factorization by grouping.
First, let's group the first two terms and the last two terms together:
f(x) = (2x³ + 4x²) + (-2x - 4)
Factor out the greatest common factor from each group:
f(x) = 2x²(x + 2) - 2(x + 2)
Notice that we now have a common factor of (x + 2) in both terms.
We can factor it out:
f(x) = (x + 2)(2x² - 2)
Now we can factor the quadratic expression 2x^2 - 2 by factoring out the greatest common factor of 2:
f(x) = (x + 2)2(x² - 1)
Now we can factor the expression x² - 1 as the difference of squares:
f(x) = (x + 2)2(x - 1)(x + 1)
Therefore,
The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)
Learn more about polynomials here:
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1 p
1.) On Tuesday at lunchtime, it was 29°C. By sunset, the temperature had
dropped to 16°C. How much did the temperature change by?
Answer:
Expression is; 29 - x = 16
Step-by-step explanation:
I've attached an image showing the number line
Step-by-step explanation:
We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.
Let the drop be x.
Thus;
29 - x = 16
I've attached an image showing the number line
The manager of a factory wants to compare the mean number of units assembled per employee in a week for two new assembly techniques. Two hundred employees from the factory are randomly selected and each is randomly assigued to one of the two techniques. After teaching 100 employees one technique aud 100 employees the other techuique, the manager records the aumber of uaits each of the employees assembles in one week. Which of the following would be the most appropriate inferential statistical test in this situation?
a. Oruc-sauruple z-test
b. Two-sample t-test
c. Matched Pairs t-test
d. Clai-square gooducss-of-fit test
e. One-sample t-test
Answer:
The most appropriate inferential statistic test in the present situation is the;
b. Two-sample t-test
Step-by-step explanation:
From the question, we have;
The number of subjects in each sample, n₁ = 100
The number of samples = 2
The nature of the test = To compare the two means
The value of the population standard deviation, σ = Unknown
From the given parameters, we have;
The t-test is a method of inferential statistics for determining whether the difference between the mean of two groups is significant, that is if the observed difference are due to chance, where the groups are likely to have some characteristics that are related
The t-test is utilized when testing an hypothesis, and it is used for small samples, where the population standard deviation is unknown
The types of t-test used are;
a) One-sample t-test
b) Two-sample t-test
c) Paired Sample t-test
Therefore, a two-sample t-test is most appropriate.
The following two triangles are similar find x
Answer:
5
Step-by-step explanation:
As we can see they are similar triangles then
the ratio of the corresponding sides are equal then
x /25 = 9/45
x = 25 * 1/ 5
x = 5
Hope it will help :)
Solve the following equation by completing the square
2x^2+4x=16
Answer:
x=2,-4
Step-by-step explanation:
What is the awsner to (-6)(8) + (-11)
Answer:
-59
Step-by-step explanation:
(-6) (8) + (-11)
(-48) + (-11)
-48 -11
-59
A magazine has 8 pages of reading for every 2 pages of advertisements. How many pages of reading does it have for 1 advertisement?
Answer:
4
Step-by-step explanation:
8/2=4
Solve the system using a matrix.
4x +
2y = 12
3x - y = -16
([?],[ ]
☁️ Answer ☁️
(-2, 10)
Hope it helps.
Have a nice day noona/hyung ￣▽￣
Write an expression equivalent to
4 - (-7)
help
Answer:
7 - (-4)
Step-by-step explanation:
You can turn the numbers.
A pound is epual to 0.454 kilograms , how many kilograms does a 142-pound man weigh?
Matthew has the choice between accepting a prize of $100,000 or being given a penny to start and adding triple the previous amount every day for three weeks . Which should he choose and why ?
Answer:
the penny because, the amount is going to triple everyday which will leave you with alot more money towards the end, and I've seen this so definitely pick the penny.
PLZ HELP ILL MARK U BRAINLIEST!!!
Answer:
x=18
Step-by-step explanation:
7x-1=125
+1 +1
7x=126
7 7
X=18
Please help!!!!! I need help badly
Answer:
3/4
Step-by-step explanation:
54/72 simplified is the same as 3/4
The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a 4/5 scale factor to create the smaller prism.
When the large prism was reduced, the surface area changed by a factor of
64/125
16/25
4/5
10/8
Answer:
B. 16/25
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
Mrs.Oliveros bought 12.036 gallons of gasoline for her car.How is this number written in expaned notation
Help!!!!! Which of the following is the difference of two squares?
Answer:
b
Step-by-step explanation:
i did this b4
The following is the difference of two squares
2. 8x² - 16y²
3. 25m² + 100n²
4. 100 [tex]a^4[/tex] - 9 [tex]b^{12[/tex]
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given:
we have to find expression for difference of two squares
1. 4g - 16h
= (2)²g- (4)²h
2. 8x² - 16y²
= (2√2x)² - (4y)²
3. 25m² + 100n²
= (5m)² + (10n)²
4. 100 [tex]a^4[/tex] - 9 [tex]b^{12[/tex]
= (10a²)² - (3[tex]b^6[/tex])²
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HELP PLSSS
What is the area of the figure?
Answer:
the correct answer is 126 sq. cm
Step-by-step explanation:
Area of square= side = 6cm
Area = s*s = 6*6 = 36sq. cm
Area of rectangle: length = 12cm and breadth = 6cm
Area of rectangle = length * breadth = 12 * 6 = 72sq. cm
Area of triangle: height = 6cm and base = 6cm
Area of triangle = 1/2 * base * height = 1/2 * 6 * 6 = 3* 6 = 18sq. cm
Total area of the given figure = Area of square + Area of rectangle + Area of triangle
= 36 + 72 + 18 = 126sq. cm
Solve |2x|=8
Tell me how you got the answer pls
Answer:
4
Step-by-step explanation:
2 x 4 = 8
Absolute value means no symbols so it would just be 2 x something equals 8 which is 4.
A cone has radius 9 and a height 12. A frustum of this cone has height 4.
What are the radii of the bases of the frustum?
What is the slant height of the frustum?
What is the lateral area of the frustum?
(If you waste an answer it will be removed so don't try and get "Free" points.)
Answer:
Part A)
The lower base has a radius of 9 units, and the upper base has a radius of 6 units.
Part B)
5 units.
Part C)
75π or about 235.62 square units.
Step-by-step explanation:
Please refer to the figure below.
The cone has a radius of 9 units and a total height of 12 units.
A frustum of the cone has a height of 4 units.
Part A)
The lower radius of the frustum will simply be 9 units.
For the upper radius, we will use the properties of similar triangles. We will compare the smaller upper triangle to the overall larger triangle. This yields:
[tex]\displaystyle \frac{12}{8}=\frac{9}{x}[/tex]
Solve for x. Simplify:
[tex]\displaystyle \frac{3}{2}=\frac{9}{x}[/tex]
Cross-multiply:
[tex]18=3x\Rightarrow x=6[/tex]
The upper base has a radius of 6 units.
Part B)
We can first find the total slant height of the entire cone. By using the Pythagorean Theorem, this yields that the total slant height is:
[tex]SH^2=12^2+9^2[/tex]
Simplify:
[tex]SH^2=225\Rightarrow SH=15\text{ units}[/tex]
Now, find the slant height of the upper cone:
[tex](SH_\text{cone})^2=8^2+6^2=100[/tex]
So:
[tex]SH_\text{cone}=10[/tex]
Then the slant height of the frustum will be the cone subtracted from the total. Thus:
[tex]SH_{\text{frustum}}=15-10=5\text{ units}[/tex]
Part C)
We can first find the lateral area of the entire cone. The lateral area is given by:
[tex]LA=\pi r\ell[/tex]
The lateral area of the entire cone will be:
[tex]LA=\pi (9)(15)=135\pi[/tex]
The lateral area of the upper cone will be:
[tex]LA_\text{cone}=\pi(6)(10)=60\pi[/tex]
Then the lateral area of the frustum is:
[tex]LA_\text{frustum}=135\pi-60\pi =75\pi\text{ units}^2\approx235.62\text{ units}^2[/tex]
Solve.
x + 7 = –2
A. 9
B. 5
C. –5
D. –9
Answer:
X = 9, in other words it's A
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
x+7=-2
-7 -7
-7 plus -2 equal 9
:) hope that helped
What steps transform the graph y = x2 to y = x2 + 8
Answer:
Jun 25, 2018 — Reflection over the y -axis. Vertical stretch by a factor of two. Horizontal translation right two units. Vertical translation up two units. I hope this helps you .. ;]
Step-by-step explanation:
Please Help!! I will give 10 points and brainliest..
Answer:
I would go for D
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
48 cm
Step-by-step explanation:
6x8 Please dont be mad if im wrong TT>TT
Maria divides her work she has to do for her science project into 12 steps she completes 2/12 of the project each night which expression could be used to find how much of the project completed after 4 nights choose all that are correct
Answer:
8/12
Step-by-step explanation:
Given that:
Dividing into 12 steps
Total step, fraction = 1
Each of the 12 steps = 1/12
If two steps is completed in one day:
. Steps completed per day :
2 (1/12)
= 2 /12 steps per day
Fraction of steps completed after 4 days
Fraction of steps per day * number of days
2 /12 * 4
(4*2) / 12
8/12
Laura borrowed $44,000 at 13% for 2 years. what was the total interest?
Answer:
13% of 44,000
Do the math then you’ll get the answer :)
Answer:
$12,183.60
Step-by-step explanation:
(I am assuming this is monthly interest and not continuous interest)
$44,000(1.13)² = $44,000(1.2769) = $56,183.60 - $44,000 = $12,183.60
A set of nine data points is shown below.
8, 11, 12, 10, 9, 7,5, 3, 9
Which statement is true if a tenth data point of 45 is added to the data set?
A
The mean and median will both increase.
B
The mean will increase and the median will decrease.
The mean will increase and the median will remain the same.
с c
D
The mean and median will both decrease.
Which statement is true if a tenth data point of 45 is added to the data set
Answer:
first arrange the numbers in ascending order 3,5,7,8,9,9,10,11,12
Answer:
с
The mean will increase and the median will remain the same.
Step-by-step explanation:
Clayton needs to reflect the triangle below across the line y = x.
On a coordinate plane, triangle A B C has points (5.5, 7), (6, 2), (4, 4).
Which statements about the reflection are true? Check all that apply.
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will remain in the same location as C because it is on the line of reflection.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
Answer:
A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.
C. C’ will remain in the same location as C because it is on the line of reflection.
D. The image and the pre-image will be congruent triangles.
Step-by-step explanation:
A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.
This option is TRUE. When we reflect a shape in the line y=xy=x , we just have to swap the x and y coordinates.
B. .Clayton could negate both the x and y values in the points to find the points of the image.
False; This is a rotation of 180\degree180° about the origin.
C. C’ will remain in the same location as C because it is on the line of reflection.
This statement is True
C’ will move because all points move in a reflection.
This statement is false because,C(2,2) and C'(2,2) will have the same coordinate.
D. The image and the pre-image will be congruent triangles.
This is TRUE because reflection is a shape preserving transformation(rigid motion).
E. The image and pre-image will not have the same orientation because reflections flip figures.
This is False
Hope this helps :)
Answer:
a,c,e,f
Step-by-step explanation:
yoo i need help asap
Answer:
A point on (0,2) and (7,3)
Step-by-step explanation:
First draw a point on 2 y axis to represent y intercept. The slope is rise over run in this example, do it backwards so go right 7 and 1 up. So it is (7,-3)
Check: 3-2/7-0
1/7 is slope
So this solution is correct
Diane deposits $7000 into an account that pays simple interest at a rate of 6% per year. How much interest will she be paid in the first 3 years?
Answer:
1,260
Step-by-step explanation:
6x3=18 7000÷18=1,260
Answer:
18% or 1260$
Step-by-step explanation:
first u find 6% of 7000 then you multiply it by 3 for those three years .
An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest circle that could fit in the square.
How many more inches of silver wire did the artist use compared to copper wire ?
Answer: The artist used 8.6 inches more of silver wire
Step-by-step explanation:
Perimeter of the square
P = 4*a
P = 4*a = 40 in
a = 10 in
Each side of the square has a length of 10 in
The diameter of the circle is equal to the length of the side of the square
Diameter = 10 in
Perimeter of the circle
P_c = 2*π*radius = π*diameter
P_c = (3.14)*10 in = 31.4 in
Inches of silver wire (square) = 40 in
Inches of copper wire (circle) = 31.4 in
40- 31.4 in = 8.6 in