The required Polynomial equation is − 5x²+ 19x + 4.
Factorization of Polynomials:Factorization is the process of determining the factors of a given value or algebraic statement. The numbers or the algebraic expressions that are multiplied to create the original number or original expressions are known as factors.
If p(x) is polynomial, with factors (x + a) and (x - a) then p(x) will equal to product of (x + a) and (x - a) => p(x) = (x + a)(x - a)
Here we have
The factorization of a polynomial is −1(x − 4)(5x+1)
To find the Polynomial we need to multiply given factors as given below
=> −1(x − 4)(5x+1)
=> −1 [ (x − 4)(5x+1)]
=> −1 [ 5x²−20x + x −4 ] [ add like terms ]
=> − 5x²+ 19x + 4 [ Multiply with − 1 ]
Therefore,
The required Polynomial equation is − 5x²+ 19x + 4.
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Please Answer asap . MERRY NAVIDAD :)
The correct answer to this Question based on Frequency Tables is B
What are frequency Tables?
These are a form of storing data that is easy to manipulate and use it for required purposes
This is an easy way to store and use data than other storing Methods
Solution:
As we can clearly see that 13 students who have completed the review sheet have passed the exam whereas 4 students who havent Completed the review sheet have also passed the exam according to given frequency table
Means we can say that reviw sheet must have some important problems that are similar to problems asked in exam hence chances are more that if a student solves and completed review sheet he will get passed in the exam acc to given frequency table Hence Option B is correct answer
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A rectangular parking lot must have a perimeter of 520 feet and an area of at least 12,000 square feet. Describe the possible lengths of the parking lot.
The required possible lengths of the parking lot is 300.
Explain perimeter and area.The perimeter of a shape is characterized as the complete length of its limit. The border of a not entirely set in stone by adding the length of the relative multitude of sides and edges encasing the shape.
The area of a shape is the "space encased inside the border or the limit" of the given shape. We compute the region for various shapes utilizing math equations.
According to question:Perimeter = 520 feet, area = 12000 feet
We know that,
Perimeter = 2(L + B)
2(L + B) = 520
(L + B) = 260--------(1)
And
Area = L×B = 12000
From equation(1),we get
L(L - 260) = 12000
L^2 - 260L = 12000
L^2 - 260L - 12000 = 0
On solving above quadratic equation
L = 300 or L = -40
Thus, possible value of length is 300.
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can someone please solve a graph to this and write in as an equation, thank you so much
The following expression represents a 2-scale factor vertical stretch, a transformation of 4 units left, and a transformation of 1 unit down:
g(x) = 2f(x + 4) - 1
How to write the given transformation?A vertical stretch of scale factor K is expressed as follows for the general function f(x):
g(x) = Kf(x).
Horizontal translation:
A horizontal translation of N units for a general function f(x) is written as:
g(x) = f(x + N).
The shift is to the left if N is positive and the shift is to the right if N is negative.
Vertical translation:
A vertical translation of N units for a generic function f(x) is expressed as follows:
g(x) = f(x) + N.
When N is positive, there is an upward movement and N shifts downward if it is negative.
So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:
g(x) = 2f(x)
Then we translate it into 4 units left:
g(x) = 2f(x + 4)
Then we translate 1 unit down:
g(x) = 2f(x + 4) - 1
This is the equation for the transformation.
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Write a linear equation in the form y=mx+b that represents the table. x 0 1 2 3 4 y 15 13 11 9 7
Answer: A linear equation in the form y = mx + b can be determined by examining the values in the table. To find the value of m, we can use the formula for the slope of a line, which is (y2 - y1) / (x2 - x1). Using the first and last values in the table, we can compute the slope as (7 - 15) / (4 - 0) = -1/4.
Therefore, the equation that represents the table is:
y = (-1/4) * x + b
We can use any of the given points to find the value of b. For example, using the point (1, 13), we can solve the equation to find b:
13 = (-1/4) * 1 + b
b = 14 - 1/4 = 13 3/4
Therefore, the final equation that represents the table is:
y = (-1/4) * x + 13 3/4
A certain shampoo is available in two sizes. A 13.5-ounce bottle costs $2.19. what is its unit price
The difference between the two is only 0.01 %. The first size is a better purchase for Unit Price even though both might be rounded off to $0.3/oz.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
A shampoo's unit price is its cost per ounce. It is a straightforward division problem that may be solved with a simple calculator or pen and paper.
The first size weighs 14.2 ounces and costs $3.98.
This shampoo's unit price is ($3.98/14.2 oz) = $0.28/oz ( rounded off to nearest cent)
The second size weighs 33.9 ounces and costs $9.98.
The second shampoo's unit price is ($9.98/33.9 oz) = $0.29/oz (also rounded off to nearest cent)
Hence, There is just a 0.01% difference between the two. Even though both sizes may be rounded to $0.3/oz, the first size is the preferable choice in terms of unit price.
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Complete Question-
A certain shampoo is available in two sizes. A 13.5 ounce bottle costs $2.19, A 29.2 ounce bottle costs $5.37. Find the unit price for each size. then state which size is the better buy based on the unit price. Round your answers to the nearest cent.?
the volume of a cube decreases at a rate of 10 m/sec. find the rate at which the side of the cube changes when the side of the cube is 2 m.
If the volume of a cube decreases at a rate of 10 m/sec, then the rate at which the side of the cube changes when the side of the cube is 2 m is -0.83 meter per second
The rate of volume of the the cube decreasing = 10 meter per second
Consider the side of the cube is x
The volume of the cube = x^3
The rate of change of volume with respect to time
dV / dt = 3x^2 dx/dt
dV / dt = -10 meter per second
The dx / dt = (dV / dt) / 3x^2
We haver to find the rate at which side of the cube changes when the side of the cube is 2 meter
Then x = 2
dx / dt = -10 / (3 × 2^2)
= -10 / 12
= -0.83 meter per second
Therefore, the rate at which side of the cube changes when the side of the cubes is 2 meter is -0.83 meter per second
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Please help me urgently!!!!
Lots of points!!!
Answer:
See Picture
Step-by-step explanation:
3. A graphic designer is developing alternate icons. The square
pixelated image is placed inside a border that is 4 pixels wide on
all sides. If the area of the border of the image is 704 square
pixels, what is the area of the image?
The area of the image is, 7396 square pixels.
what is area?
The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Let x represent the length and the width of the image.
The area of the image and the border is represented by the expression
(x + 4)^2.
Total area - area of image = Area of border
(x + 4)^2 - x^2 = 704
⇒ x^2 + 8x + 16 - x^2 - 704 = 0
8x - 688 = 0
8x = 688
x = 86
The image will be 86 pixels by 86 pixels.
The area becomes 86*86 = 7396 square pixels.
Hence, the area of the image is, 7396 square pixels.
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Determine the coupon payments for the following three bonds: 5. 5% coupon corporate bond (paid annually), 6. 45% coupon treasury note, and a corporate zero-coupon bond maturing in 10 years. (assume $1,000 par value. ).
For the 5.5% coupon corporate bond, the coupon payment would be $55 per year. For the 6.45% coupon treasury note, the coupon payment would be $64.50 per year.
What is Percentage?Calculations using percentages show how much a given number contributes to the total. It is computed by dividing the number by the sum and multiplying by 100. It is denoted by the sign "%." For example, if a basket contains ten apples, three of which are red, the proportion of red apples in the basket is 30% (3/10 x 100). In a wide range of disciplines, including business, statistics, and education, percentage is often utilized. Calculating interest rates, taxes, and other financial activities in the finance industry annually frequently uses percentages. The frequency of events or the likelihood of a certain outcome are both measured using this method in statistics. Calculating grades and evaluating a student's overall performance are both done using this in education.
How to solve?
For the 5.5% coupon corporate bond, the coupon payment would be 5.5% of $1,000 = $55 per year.
For the 6.45% coupon treasury note, the coupon payment would be 6.45% of $1,000 = $64.50 per year.
For the corporate zero-coupon bond maturing in 10 years, there are no coupon payments. The bond will only make a payment of $1,000 at maturity.
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Help me pleaseeee I don't know what the answer is
Answer:
Not enough context
Step-by-step explanation:
We need the bar graph/information for the amount child and adult tickets cost.
Juan collected 1 1/2 bins of glass bottles to recycle. Richard collected 4 2/3 times as many
bins as Juan. How many bins of bottles did Richard collect?
Write your answer as a fraction or as a whole or mixed number.
Please help
Answer:
Step-by-step explanation:
8 1 5
URGENT HELP ⚠️
The point (-2, -4) is reflected across the y-axis, followed (x-4, y+3). Find the coordinates of the image point.
Group of answer choices
(-6, -1)
(-2, 7)
(-2, -1)
(-4, -1)
By using the concept of reflection, it can be calculated that-
Value of x is 6 and value of y is -7
What is reflection?
Reflection is a mathematical transformation in which a mirror image of an object can be formed with respect to a line called the line of reflection.
The point is (-2, -4)
(-2, 4) is reflected across y-axis
New coordinate after reflection = (2, -4)
By the problem,
(x - 4, y + 3) = (2, -4)
x - 4 = 2
x = 2 + 4
x = 6
y + 3 = -4
y = -4 - 3
y = -7
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Alexandra grew 9 flowers with 3 seed packets. How many seed packets does Alexandra need to have a total of 18 flowers in her garden? Solve using unit rates.
Compare the function f(x)=3x-1/2 to the function shown in the graph. Which statements are correct?
Answer: B
Step-by-step explanation:
For [tex]f(x)=3x-\frac{1}{2}[/tex], comparing it with slope-intercept form yields that the slope is [tex]3[/tex] and the [tex]y[/tex]-intercept is [tex]-1/2[/tex].
For the graphed function, the slope is [tex]\frac{-4-0}{-2-6}=\frac{1}{2}[/tex] and the [tex]y[/tex]-intercept is about [tex]-3[/tex].
Since the absolute value of the slope of the graphed function is less than that of [tex]f(x)[/tex], option B is correct.
Diego ha 48 chocolate chip cookie, 64 vanilla cookie, and 100 raiin cookie for a bake ale. He want to make bag that have all three cookie flavor and the ame number of each flavor per bag
On solving the question, by help of Highest common Factor we got that He can only produce 4 bags before there are no more cookies left.
What is Highest common factor?In mathematics, HCF is referred to by its full term, highest common factor. When dividing two or more numbers, the highest common factor (HCF) is two. For instance, the HCF of 4 and 6 is 2.
48 chocolate chips total.
64 vanilla cookies total.
100 raisin cookies are present.
[tex]HCF - 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24,48.\\64 = 1, 2, 4, 8, 16, 32 , 64\\100 = 1, 2, 4, 5, 10, 20, 25, 50, , 100.[/tex]
4 = highest common factor of 48, 64 and 100
As a result, he can only produce 4 bags of cookies until none are left over.
For each bag:
cookies and chocolates = 48/4
= 12 each
64/4 vanilla cookies
= 16 each
100/4 raisins in cookies
= 25 each
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A water park has pools, slides, and rides that, in total, make use of 8.6 x 105 gallons
of water. They plan to add a ride that would make use of an additional 9.1 x 104
gallons of water. Use scientific notation to express the total gallons of water made use
of in the park after the new ride is installed.
Answer:
×10
gallons
Submit Answer
attempt 2 out of 2
Hence, the total gallons of water made use of in the park after the new ride is installed is 9.51*10⁵ gallons
What is volume of water?
The form of the container the water is contained in affects how much water is contained inside. You must know the length, breadth, and depth of a square or rectangular vessel in order to calculate its volume using the volume equation V=L*W*D, where L stands for length, W for width, and D for depth. The volume equation in this case reads: V= (r²)Dπ, where r stands for the radius, D for depth, and, or pi, is a constant value that is typically rounded to 3.14. To perform the same volume calculation for a circular vessel, you must know the vessel's depth and diameter or radius.
Given, the water park has water which is 8.6*10⁵ gallons.
We know that 10⁵ = 100000
Thus, 8.6*10⁵ = 860000
The new ride would use an additional 9.1*10⁴ gallons.
Again, 10⁴ = 10000
Thus, 9.1*10⁴ = 91000
Total water that would be required now is equal to the sum of the original water volume and the volume required by the new ride
= (860000+91000) gallons
= 951000 gallons
= 9.51*10⁵ gallons
Hence, the total gallons of water made use of in the park after the new ride is installed is 9.51*10⁵ gallons
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Answer the question pls
Answer:
v=50
Step-by-step explanation:
since the angle next to x+50 if you add them the rule is they will equal 180 degrees and that the entire triangle equals 180 degrees then the 2 other angles will equal v+50
v+v=v+50
-v. -v
v=50
hopes this helps
Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace.
Answer
$7
Explaination :
3 bracelet - $5( for 1)
3 necklace - (unknown)
Total amount paid - $40
change - $4
Calculation for all 3 bracelet
$5×3=$15
Calculation for the real amount
$40-$4=$36
Calculation for 3 necklace
$36-$15=$21
Calculation for 1 necklace
$21÷3=$7
There reason I divide it with 3 was because I got the total amount for 3necklace now I only want 1..
Final answer - $7#
Hope this helped :)
Answer:
$7----------------------------
Each bracelet cost $5 and necklace costs x.
The total for 3 of each is:
40 - 4 = 36Set equation and solve for x:
3(5 + x) = 36 Divide both sides by 35 + x = 12 Subtract 5 from both sidesx = 7Is 12:44 equivalent.
Answer: no, not in any way
Step-by-step explanation: it does not matter how many times you multiple 12, you will never end up getting 44.
Zoe bought 1.5 pounds of apples for $3.50 per pound. She wanted to find the total cost using partial products.
Part A
Drag all of the partial products into the box that Zoe needs to solve the problem.
0.18
3
0.25
0.5
1.5
0.05
Part B
Solve the equation and then select the correct answer to complete the statement.
Zoe spent $
Choose...
on apples.
Answer:
4.75
Step-by-step explanation:
The administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. The following relative frequency table shows the data.
Based on the data, what is the ratio of false positives to true positives?
3 / 21
3 / 49
21 / 27
27 / 49
The ratio of false positives to true positives is 3/49.
So, option B is correct.
What is a ratio and proportion?A percentage is an expression that converts two ratios into an equal value. For instance, you may write the ratio as 1: 3 if there is 1 man and 3 women, meaning that 40% of the population is female and 14% is male. For any two numbers, the ratio formula is stated as a: b a/b. The percentage formula, on the other hand, is represented as a:b::c:da:b::c:da:b=cd. In mathematics, a ratio shows how many times one number is represented by another. For instance, if there are eight oranges and six lemons in a dish of fruit, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
The percentage of false positives=3%
The percentage of true positives=49%
Ratio=3/49
Therefore, the ratio of false positives to true positives is 3/49.
So, option B is correct.
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what is the value of the underlined digit?
does this table represent a function 2,1 3,4 4,4 5,2 5,5
The answer is No because one x-value corresponds to two different
y-values.
What is the function?
Each element of X is given exactly one element of Y by a function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.
Here the given function is,
x y
3 4
4 4
5 2
5 5
From the table we can see that there are 2 values of x having same
y - value.
Hence, the given table does not represents a function.
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What are the x-intercepts for the graph below?
A. (0,5), (0, -2)
OB. (-5, 0), (-2, 0)
OC. (5,0), (2, 0)
OD. (0,-5). (-2, 0)
Answer:
B
Step-by-step explanation:
In circle G with m \angle FGH= 150m∠FGH=150 and FG=12FG=12 units find area of sector FGH. Round to the nearest hundredth.
The area of the sector of circle G is calculated as; 18.85 sq. units
What is the area of the sector?
The formula for the area of a sector is;
A = θ/360 * πr²
where;
A is area
r is radius
θ is central angle
We are given;
Radius of sector; r = 12 units
Central angle; θ = 15°
Thus;
A = 15/360 * π(12)²
A = 18.85 sq. units
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Lauren had 3/4 gallon of paint he poured in an additional 1/8 gallon from another can. How much paint doe lauren have?
We know that Lauren has 7/8 gallons of paint in total using simple mathematical operations.
What are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.
There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.
The five basic operations in mathematics are addition, subtraction, multiplication, division, and modular forms.
So, we know that:
Lauren has 3/4 gallons of paint.
She later added 1/8 gallon of more paint.
The total paint she has is:
3/4 + 1/8
2(3) + 1/8
6+1/8
7/8
Therefore, we know that Lauren has 7/8 gallons of paint in total using simple mathematical operations.
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What is the solution to the inequality -6a+1>43
Answer:
a < -7
Step-by-step explanation:
A quadrilateral has two angles that measure 140° and 70°. The other two angles are in a ratio of 4:11. What are the measures of those two angles?
Answer:
40° and 110°
Step-by-step explanation:
the sum of the 4 angles in a quadrilateral = 360°
the ratio of 2 angles = 4 : 11 = 4x : 11x ( x is a multiplier )
sum the 4 angles, equate to 360 and solve for x
140 + 70 + 4x + 11x = 360
210 + 15x = 360 ( subtract 210 from both sides )
15x = 150 ( divide both sides by 15 )
x = 10
Then
4x = 4 × 10 = 40°
11x = 11 × 10 = 110°
the measure of the 2 angles is 40° and 110°
due today pls help thank youuuu
Check the picture below.
HELP! how do you solve it
Using Venn diagram, The value of x is equal to 15.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that 50 students study at least one of the subjects geography (G), mathematics (M) and history (H).
Thus, 18 study only mathematics. 19 study two or three of these subjects.
23 study geography.
G + M - (x + 7) = 23 + 18 -(x + 7) = 19
23 + 18 -(x + 7) = 19
41 - x - 7 = 19
x = 15
Therefore,the value of x is 5.
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