The polynomial Y⁴+ 4y²+ 5 does not have zeroes.
What is polynomial?Polynomials are an essential component of the "language" of mathematics and algebra. They are used to express numbers as a result of mathematical operations in nearly every field of mathematics. Polynomials can also be used as "building blocks" in other kinds of mathematical expressions, such as rational expressions.
Polynomials can be used to represent a wide range of everyday mathematical processes. A polynomial can be formed by adding the costs of items on a grocery bill. A polynomial can be used to calculate the distance travelled by a vehicle or object. Polynomials can be used to calculate the perimeter, area, and volume of geometric figures. These are just a few of the many uses for polynomials.
We know that, (a +b)² = a² + b² + 2ab
Here given that,
⇒ y⁴ + 4y² + 5 = 0
⇒ y⁴ + 4y² + 4 + 1 = 0
⇒ (y² + 2)² + 1 = 0
Because the first term is a square, the expression (y² + 2)² + 1 will never be zero for any value of y.
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Mohammed is x years old.
Jenny is 7 years older than Mohammed.
Mario is 3 times the age of Mohammed.
The total of their ages is 82.
What are their ages?
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of
Weight of each type of box:
Weight of each big box = 18.75 kg
Weight of each small box = 13.75 kg
What is an equation?The relationship between two terms on either side of a letter is represented by a mathematical formula. Often there is a variable and an equals sign.
The definition of an equation in algebra is a formula that shows the equivalence of two mathematical terms. For example, in the expression 6x + 11 = 14 the two terms 6x + 11 and 14 are separated by the "equals" symbol.
To let
Weight of each big box = x
And the weight of each small box = y
Weight of 3 big boxes:
3 times
5 small box weights:
5 years
3x + 5y = 125 .......................(i)
resemble:
9x + 7y = 265 ......................(ii)
Equation (i) multiplied by -3:
-3 (3x + 5y) = 125 * (-3)
-9x - 15y = -375 ...................(iii)
Under (ii) and (iii):
9x + 7y = 265
-9x - 15y = -375
Adding this gives:
-8y = -110
or y = 110/8
or y = 55/4
y = 13.75
From equation (i), we have:
3x + 5y = 125
or 3x + 5(13.75) = 125
or 3x + 68.75 = 125
3x = 125 - 68.75
3x = 56.25
x = 56.25/3
x = 18.75
Each large box weighs:
18.75 kilograms
Weight of each small box:
13.75 kilograms
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Solve Y, using the Pythagorean Theorem.
Answer:
y = 8.9
Step-by-step explanation:
8^2 + y^2 = 12^2
64 + y^2 = 144
subtract 64 from both sides
y^2 = 80
square root both sides
y = square root 80
y = 8.9
The Jackson family is planning a weekend vacation. They plan to rent a car from the ABC Car Rental Company. Let m represent the number of miles the family will drive. Let c represent the cost for renting a car. Write an equation that shows what the cost for renting a car will be.
Weekend Special: $40 + $0. 10 per mile
An equation that shows what the cost of renting a car will be: C=R+mc.
Let the rental cost = R
consider m to be the number of miles driven= m
let c be the cost per mile
And C is the total cost of renting;
Then C = R+mc
the given equation $40 + $0. 10 per mile
Now, in the above equation consider:
R =$40 ( the rental cost)
c = $0.10 ( the cost per mile)
The total cost is C = $40+$0.10m
Ex:
if m is known assume m=1000 miles
Then the total cost C = $40+($0.10/mile)(1000miles)
then C = $40+$100=$140
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Determine the value of w. (ASAP HELP PLS!)
A)
90°
B)
25°
C)
155°
D)
89°
Answer:
D
89 degree
Step-by-step explanation:
exterior angle is equal to twp opposite interior angle so w+33=122
then w=122-33
so w=89
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Fred is ordering pies for a family reunion. Each pie costs $8.50. For
orders smaller than a dozen pies, there is a $5 delivery charge. He plans to
order 10 pies. Is the cost proportional to the number of pies ordered?"
Please help I’m very confused
Please and thank you :)
what is the slope and y-intercept for y=3/4x
Answer:
the slope is
[tex] \frac{3}{4} [/tex]
and y intercept is 0
Tickets to a concert are $35 each. In addition to the cost for the tickets ordered, there is a $15 processing charge per order
An expression that represents the total cost of an order of n number of tickets: 35n + 15
Let n be the number of tickets to a concert.
Let C be the cost for the tickets
Given that the tickets to a concert are $35 each.
So, by unitary method the cost of n number of tickets would be,
n × 35
And the cost for the tickets would be,
C = 35n
In addition to the cost for the tickets ordered, there is a $15 processing charge per order.
So, the cost for the tickets would be,
C = 35n + 15
This is the required expression.
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The complete question is:
Tickets to a concert are $35 each. In addition to the cost for the tickets ordered, there is a $15 processing charge per order.
Write an expression that represents the total cost of an order of n number of tickets.
Steve ran a 12-mile race at an average speed of 8 miles per hour. If Adam ran the same race at an average speed of 6 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?
Answer:
the picture is the formula.
D stands for distance
S stands for speed
T stands for time
Step-by-step explanation:
Steve
Time = Distance divided by speed
=12miles divided by 8miles per hour
=1.5hours or 90minutes
Distance= 12miles
Speed= 8miles per hour
Adam
Speed= 6miles per hour
Distance= 12miles
Time= distance divided by speed
= 12miles divided by 6miles per hour
=2hours or 120minutes
120minutes - 90minutes=30 minutes
87.5 - 23.4 *
O 64.1
O 110.9
054.1
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer....
1st Option : 64.1Hope it helps!
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Follow me! ;)
Can someone please help I need the answers please!!!!!!!!!!!!
I don’t understand and also any fake answers will be reported
The first graph shows the correct location of the points.
Can you please help me?
Answer:
[tex]t = \dfrac{I}{Pr}[/tex]
Step-by-step explanation:
Given the equation [tex]I = Prt[/tex]:
To solve for [tex]t[/tex], all we have to do is divide both sides by [tex]Pr[/tex].
[tex]\textrm{} \ \, I = Prt\\\overline{Pr} \ \ \ \overline{\: Pr \: }[/tex]
[tex]t = \dfrac{I}{Pr}[/tex]
Text form:
t = I / Pr
Answer:
[tex]t= \frac{I}{Pt}[/tex]
Step-by-step explanation:
Given the equation,[tex]I=Prt[/tex], solve for the value, t.
[tex]I=Prt[/tex], divide both sides of the equation by [tex]Pr[/tex]. We get,
[tex]t= \frac{I}{Pr}[/tex], final answer.
what is 9.5 is what % of 50 i have a test tomorrow 1/11/23 and I dont understand it
The percentage statement is 9.5 is 19% of 50
How to determine the percentageFrom the question, we have the following parameters that can be used in our computation:
9.5 is what % of 50
Complete the blank with x
So, we have the following representation
9.5 = x% of 50
So, we have
9.5 = x% * 50
Divide both sides by 50
0.19 = x%
Multiply both sides by 100
So, we have
x = 19
Hence, the solution is 19
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What is the theoretical probability that an even number will be rolled on a number cube?
Answer:
out of 36 rolls, 15 were positive. 15/36 simplified is 5/12
Answer:
15/36 is the probability there i believe i might be wrong
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
y = 32.5
x = 13
Step-by-step explanation:
opposite angles of the parallelogram are equal to each other.
parallelograms form 360° in total
so 60+ 55 = 115 * 2 (because two angles) = 230
360 - 230 = 130 (divide this by two to get one angle of the parallelogram) so 65°
2y = 65 °. and 5x = 65 °
y = 32.5
x = 13
what was the total number of gallons of paint sold?
Answer:
1,600
Step-by-step explanation:
Divide 240 by 3. This is 80, or 5% of the total.
Multiply 80 by 20, to get 1,600, 100% of the total
(2x + 3) (3x + 4) it says to solve that in box method
For what value of a the system of equations Ax Y 2 and 6x 2y 3 has a unique solution?
The value of 'a' for which the system of equations has a unique solution is a = 4/3.
The given system of equations can be written as:
Ax = 2
6x – 2y = 3
To find the value of 'a' for which the system has a unique solution, we can solve the equations for 'x' and 'y' and equate them.
Solving for 'x' in the first equation, we get:
x = 2/a
Solving for 'y' in the second equation, we get:
y = (3 + 6x)/2
Substituting the value of 'x' in the above equation, we get:
y = (3 + 6(2/a))/2
Equating the two equations, we get:
2/a = (3 + 6(2/a))/2
Multiplying both sides of the equation by 'a', we get:
2 = 3a + 6
Subtracting 2 from both sides of the equation, we get:
3a = 4
Dividing both sides of the equation by 3, we get:
a = 4/3
Therefore, the value of 'a' for which the system of equations has a unique solution is a = 4/3.
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Find an equation in slope interact form of the number of pizzas sold as a function of time for Mario's
Answer:
[tex]y = 3x+7[/tex]
Step-by-step explanation:
Given
See attachment for Mario's pizza table
Required
Determine the equation in slope intercept form
First, we calculate the slope of the table using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex](x_1,y_1) = (3,16)[/tex]
[tex](x_2,y_2) = (5,22)[/tex]
So, the slope is:
[tex]m = \frac{22 - 16}{5 - 3}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (3,16)[/tex]
[tex]m =3[/tex]
So:
[tex]y = 3(x - 3) + 16[/tex]
Open bracket
[tex]y = 3x - 9 + 16[/tex]
[tex]y = 3x+7[/tex]
Find the solution of the system of equations.
-7x - 3y = - 20
3x+ 6y = -15
Answer:
x = 5 y = -5
Step-by-step explanation:
-7x - 3y = -20
-3y = 7x - 20
y = -7/3x + 20/3
3x + 6(-7/3x + 20/3) = -15
3x - 14x + 40 = -15
-11x = -55
x = 5
-7(5) - 3y = -20
-35 - 3y = -20
-3y = 15
y = -5
Are the two triangles similar? Why or why not?
Answer:
yes
Step-by-step explanation:
cause they are both triangles duhhhh
Answer:
yes bc they both make a 90* TURN
How do you calculate quantity of seed?
The following is how you can calculate quantity of seed:
Sowing rate (kg/ha) = target plant population (p/m2) x TGW (g) x 100. % germination x % emergence.
What is Sowing rate?The quantity of seed necessary for a unit area of land to successfully grow any crop is known as Sowing rate. In other words, the Sowing rate for that crop of the land refers to the quantity of seed needed to successfully raise a crop on a given piece of land. The Sowing rate, on the other hand, refers to the quantity of seed needed to cover a given area of land.
Goals in calculating the Sowing rate:
to make sure there are enough plants in the field.in order to decrease seed waste.to be aware of how much seed will be needed in advance for a specific piece of land.to improve a crop's quality and yield.to lower the expense of growing crops.Learn more about Sowing
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Cindy shoots a bottle rocket straight up into the air such that its height h, in feet, at time t, in seconds, is given by the function h of t = negative 16 times t squared plus 85 t + 5.. During what interval will the rocket be at least 43 feet above the ground?
Answer:
t = [0.493,4.2]
Step-by-step explanation:
The height of the rocket straight up into the air is given by :
[tex]h(t)=-16t^2+85t+5[/tex]
We need to find the interval the rocket be at least 43 feet above the ground.
[tex]43\ge -16t^2+85t+5\\\\t\ge 0.493\ and\ t\le 4.82\ s[/tex]
So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].
HEEEEEEEEEEEELLLLLLLLLPPP? BRAINLIST WILL BE REWARDED!
Can anyone help me on the first question??
Find the lope-intercept equation of the line that pae through (1,-3) and ha a lope of -1/4
The slope intercept form of the equation is
y = -1/4x -11/4
What is Slope Intercept form ?One of the most popular ways to describe a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula may be used to get the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.
The slope intercept form is a technique for figuring out a straight line's equation in the coordinate plane. Any point's coordinates on a straight line must fulfill a certain relation, which is known as the equation of a straight line.
Any location that is not on the line will not fulfill the coordinates.
This equation's solution is simple to find. A straight line's slope, or angle of inclination from the x-axis, and the intercept it makes with the y-axis are both necessary to determine the slope intercept form of the line.
The line passes through (1,-3)
slope = -1/4
The equation of the line
y = mx + c
here m is the slope and c is the intercept.
putting the point and slope in the equation
-3 = -1/4 *1 + c
⇒ c = -11/4
So the slope intercept form of the equation is
y = -1/4x -11/4
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Circle of circumstances
The circumference of the circle is 2πr.
What is circumference of a circle?The circumference of a circle is the distance around the outside of the circle. It is given by the formula C = 2πr, where C is the circumference, π is the mathematical constant approximately equal to 3.14 and r is the radius of the circle. In other words, the circumference is equal to the diameter times pi.
For the given question,
The formula of the circumference of the circle,
C = 2πr
where r is the radius of the circle.
Hence we can conclude that the circumference of the circle is 2πr.
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In 2016, there were a total of 41 national battlefields and national memorials. The number of national memorials is three less than three times the number of national battlefields. How many of each park unit were there?
Answer: 11, 30
Step-by-step explanation:
Given
There were a total of 41 national battlefields and national memorials
Suppose there are [tex]x[/tex] national battlefields
So, national memorials are [tex]3x-3[/tex]
The sum of the two must be 41
[tex]\Rightarrow x+3x-3=41\\\Rightarrow 4x=44\\\Rightarrow x=11[/tex]
So, there are 11 national battlefields and [tex]3\times 11-3=30[/tex] national memorials.
1. Length and breadth of a rectangular table-top are 36 cm and 24 cm respectively. Find its perimeter.
Answer:
120 cm.
Step-by-step explanation:
The perimeter of a rectangle is found by adding up the length of all four sides. In this case, the length is 36 cm and the breadth is 24 cm. Therefore, the perimeter of the rectangular table-top is
2 (length + breadth) = 2 (36 + 24) = 2 × 60 = 120 cm.