A quadratic polynomial does not cross the x axis at any point since it has no zeros.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
x^2 - 2x + 5 when compared with the standard form of the quadratic equation, a = 1, b=- 2, c=5
Value of the discriminant =b^2 - 4 ac
= (-2)2 - 4(1) (5)= 4 - 20
= - 15
The value of the discriminant is negative i.e less than zero.
Hence, the quadratic equation x^2 - 2x + 5 has no real zeroes.
Since a quadratic polynomial may only have two real roots, the number of times the graph will cross the x-axis at most is two, and at least zero when there are no roots in the equation.
For more questions on Polynomials
https://brainly.com/question/30111198
#SPJ4
factor 8x^2+ 30x - 4x + 15
Answer:
(2x+5)x(4x+3)
Step-by-step explanation:
have a nice day
The mean and median of the five Numbers are the same 4 6 x y 10
The value of x is 7 and value of y is 8
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given data set is {4, 6, x, y, 10}
The mean and the median are the same value.
The median is the middle value, which is x, and the mean is:
M = (4 + 6 + x + y + 10)/5
Then we have that:
(4 + 6 + x + y + 10)/5 = x
Now let's solve this:
(4 + 6 + x + y + 10) = 5x
20 + x + y = 5x
20 + y = 4x
And x and y are whole numbers. Then we can take x = 7 to get:
20 + y = 4*7
y = 28 - 20 = 8
Then we have x = 7 and y = 8.
Hence, the value of x is 7 and value of y is 8 in the data set 4 6 x y 10
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ1
Decompose one number to subtract 726-340
The subtraction of the given number would be = 386
What is subtraction?Subtraction is defined as one of the major arithmetic operations that is used to remove a value from another given values.
The subtraction of the value 340 from 726 would be = 386.
That is; 726 - 340 = 386
Learn more about subtraction here:
https://brainly.com/question/28467694
#SPJ1
plz give step by step explanation
Which is a solution to the equation?
3x + y = 2
a) 4
b) (-1,2)
c) (3-5)
d) (1,-1)
Is log e and log same?
The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.
The log with a base "e" (log e) is the same thing as In
The natural logarithmic function log e refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;
We can say that:
log e = ln
Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.
Learn more about Logarithm here:
https://brainly.com/question/28596588
#SPJ4
How many solutions does the system y 3x 4 and 6x 2y 8 have?
The system y = 3x + 4 and 6x - 2y = 8 has no solutions.
A system of equations is a set of equations with multiple variables. To determine the number of solutions for a system of equations, one can use the following methods: graphing, substitution, or elimination. In this case, we can use the elimination method by adding or subtracting the equations to eliminate one of the variables.
If we add the two equations, we get y = 3x + 4 + 6x - 2y = 8, which results in 3x + 4 = 8. This is an inconsistent equation and does not have any solutions. Therefore, the system y = 3x + 4 and 6x - 2y = 8 has no solutions.
This shows that the system is inconsistent, which means that there's no solution that satisfies both equations.
Learn more about System of Equations here:
https://brainly.com/question/25976025
#SPJ4
PLS HELP
what would be the equation for this one?
Answer:
x^2 + y^2 = 25
Step-by-step explanation:
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can see that the center is (0, 0) by looking at the graph, and the radius is 5 because it is marked. Plugging these in we get:
x^2 + y^2 = 25
Find the value of x. Round to
the nearest tenth.
10
IX
500
X = [?]
Enter the number that belongs in
the green box.
Enter
Answer:
x = 88.2
Step-by-step explanation:
Reference angle = 10°
Opposite = x
Adjacent = 500
Apply TOA:
Tan 10° = x/500
Multiply both sides by 500
500*Tan 10° = x
88.1634905 = x
x = 88.2 (nearest tenth)
Need to catch up on school work :/
Suppose a city with a population of 400,000 has been growing at a rate of 3% per year if this rate continues find the population of the city in 24 years , (round to the nearest whole number as needed)
Answer: 813,118 people in the city after 24 years
400,000(1+.03)^24
√
18
−
√
2 simplify far as possible
Answer:
2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2x9}[/tex] - [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
Find the value of y for the given x equal to a value. y=-2x+7 when x=-2
A. y=3
B. y=-3
C. y=11
D. y=-11
This is due today pls help!!!!!!!
Answer:
x = 3.5
Step-by-step explanation:
Each value is multiplied by 1.5 so 7 times 1.5 is 10.5
10.5/3 = 3.5
Answer:
1.5
Step-by-step explanation:
To find the value of x that makes triangle DEF similar to XYZ, we have to find the scale. To do this find 2 similar sides. I chose 7.5 from XYZ and 5 from DEF. Divide 7.5 by 5 to get 1.5. 1.5 is our scale so this means we will insert 1.5 for x and get 4.5 as our answer.
I need help ASAP. Last Assignment for this class.
The center of a Ferris wheel is 55 feet above the ground. The Ferris wheel completes one revolution every 40 seconds. The distance between the lowest and highest points of the Ferris wheel is 100 feet. A trigonometric function models the height of the seat that starts closest to the ground when the wheel begins moving.
(a) What is the period of the function?
(b) What is the amplitude of the function?
(c) What is the midline of the function?
(d) Sketch the first two periods of the graph of the function.
Plot and label the key points of the graph. Label each axis with an appropriate scale.
Answer:
a squared plus b squared equals c squared
Step-by-step explanation the answer either your in for a bumpy ride
4 time 3=12
Answer:
The answer is CStep-by-step explanation:
A small snowcone costs $0.75 at the local snowcone shack. Mrs. Eckelberry had the snowcone shack deliver small snowcones for some of her students. She spent $18.75 for the snowcones. The equation 0.75s = 18.75 could be used to determine how many snowcones were ordered. How many snowcones did Mrs. Eckelberry order? * 16 pointsss!
Answer:
25 snowcones
Step-by-step explanation:
0.75s = 18.75, where (s) is the number of students/snowcones ordered
Divide both sides by 0.75:
0.75s/0.75 = 18.75/0.75
s = 25
In a school of 600 students, there are seven times as many right-handed pupils as left-handed pupils. How many pupils are right-handed?
Answer:
About 516 students are right handed.
Step-by-step explanation:
Divide 600 by 7 to get 85.7143. Round up to 86. Multiply times 6.
Answer:
I'll setup the problem and leave you to solve it
Step-by-step explanation:
L = number of left-handed students
R = number of right-handed students
you have 2 equations
L + R = 600 (1)
R = 7 x L (2)
solve for L in equation 1
L = 600 - R
substitute L in equation 2
R = 7(600 -R)
multiplying and gathering like terms
8R= 4200
solve for R and you have your answer
An amusement park has a collection of scale models, with ratio 1:20, of buildings and other sights from around the country. The height of the United States Capitol is 289 feet. What is the height in feet of its replica at this park, rounded to the nearest whole number
The height in feet of its replica at this park, rounded to the nearest whole number is 14 feet.
What connection exists between height and separation?Distance is the measurement of an object's horizontal distance from a specific location, whereas height is the measurement of an object's height in the vertical direction.
Since the heights of real buildings are 1:10 times higher than those of model buildings, this is evident. We also know that the actual height of the US Capitol is 289 feet, so we divide that figure by 20 to determine the model's height. That amounts to 14.45, rounding to 14. Thus, the duplicate is 14 feet, rounded up to the nearest whole number.
To know more about Distance visit:-
brainly.com/question/15172156
#SPJ4
Toni invests money into an account which pays a fixed rate compound interest each year.
The total value, £V, of her investment after 't' years is given by the formula=1350 x 1.04t.
How much did Toney invest?
if u get this ur a genius
Answer: Toni invested in pounds= $1350
Step-by-step explanation:rate of compound interest=4%
Step-by-step explanation:
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:
Given equation is in the form of
where P is the amount invested
'r' is the rate of interest
t is the time taken
P= 1350 is the initial amount invested
1+r= 1.04 (subtract 1 from both sides)
multiply it by 100 to get percentage
r= 4%
I just search it bc my brain dosent work any more
Olving ytem of linear equation in two variable
1. 4x8y=24 2. 2xy=19 3. 3x2y=15
4x2y=12 x-y=11 x2y=10
The solution of this system of linear equations is x=3, y=-5.
To solve this system of linear equations, you can use various methods such as substitution, elimination, or matrices. Here is one way to solve using the substitution method:
From equation 2, we can find the value of x in terms of y: x = (11+y)/2Substitute this value of x into equations 1 and 3:4((11+y)/2) + 8y = 24
3((11+y)/2) + 2y = 15
Solve for y in the first equation: 8y = 24 - 44 = -20y = -5
Substitute this value of y back into equation 2 to find x:x = (11 + (-5))/2
x = 3
Substitute the values of x and y back into the original equations to check if they are correct:4(3) + 8(-5) = 24
3(3) + 2(-5) = 15
To learn more about linear equations at
https://brainly.com/question/11897796?referrer=searchResults
#SPJ4
The question is -
Solving a system of linear equations in two variables,
4x + 8y = 242x - y = 113x + 2y = 15Taylor wrote down three consecutive integers. He noticed that when he took the difference between the first term and the third term, and multiplied this difference by 4, the result was 1 more than the second term. What are Taylor's three integers
Answer:
737
Step-by-step explanation:
Answer:
Step-by-step explanation:
a.we set the first integers is A, because they are consecutive Integer, so the three Integers are A, A+1, A+2
b.we konw (A+2-A)×4-1=A+1, so A=6
therefore, the three Integer are 6, 7, 8.
Write an inequality for the situation. A number m is less than or equal to negative two.
What is the slope of the line? (30 points)
Answer:
Slope = -1 or (-1/1)
Step-by-step explanation:
slope = m
Point 1: (0, 2); Point 2: (2, 0)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 0 - 2 -2
m = ----------- = ---------- = ------- = -1 or (-1/1)
x₂ - x₁ 2 - 0 2
I hope this helps!
which number is greater than the number at point p
PLEASE HELP 10 POINTS
Answer:
the answer would be 1.35
Step-by-step explanation:
What is value of tan 90?
Answer:
Step-by-step explanation: infinity or undefined.
on a tryangle if side a is 9 and side c is 19 then what is side b?
Answer:
5
Step-by-step explanation:
Ashley is training to run a
marathon. On Monday,
she runs 21 miles in 3
hours
COP=??
Answer:
7
Step-by-step explanation:
Answer:
what is a COP huhhh?????
please help me with this
Answer:
i can't see the file can u share it to me
Galeno wants to buy a video game at a store having a 20% off storewide sale. The regular price of the video game is $50. The sales tax on the video game is 5.75%. How much does Galeno pay for the video game?
Answer:
42.30
Step-by-step explanation:
help for 100 points please please
Answer:
Step-by-step explanation:
Take the percentages for both 1992 and 2000 and make the average. that is your answer
Hello! Hope everyones doing ok. could use your help here:
1. Draw 16 stairs. Put them equally into 2 sets. How many stairs are in each set? ___
2. Round each number to the nearest 10. Then subtract : 497 - 315 is about: ___
3. Abel drew some Triangles. his drawing had 21 Vertices. How many triangles did he draw? write a division equation to answer the question: ___
Answer:
180
Step-by-step explanation:
500 - 320
180
this is answer hope it helps