The roots of the equation 2x² - 3x - 5 = 0 are 5/2 and -1.
The quadratic formula is a formula that can be used to find the solutions (or roots) of a quadratic equation. For a quadratic equation written in the form ax² + bx + c = 0, where a, b, and c are constants, the quadratic formula is given by:
x = (-b ± √(b²- 4ac))/(2a)
Where x is the solution, a, b, and c are the coefficients of the equation.
Plug in the coefficients of the equation 2x² - 3x - 5 = 0 to the quadratic formula to find the roots.
x = (-b ± √(b²- 4ac))/(2a)
x = (3 ± √((-3)²- 4(2)(-5)))/(2)(2)
x = (3 ± 7)/4
x = 5/2 ; x = -1
Hence, the roots of the equation are 5/2 and -1.
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If it takes 10 hours to travel from North Carolina to Florida driving an
average speed of 60 mph, how long will it take to travel from North
Carolina to Florida driving an average speed of 70 mph?
Is it direct variation or indirect variation?
Answer:
8.5 hrs? direct variation
Step-by-step explanation:
60 per hour is 600 for 10 hours so 70 per hour to go 600 miles is 8.57142857143 in the calculator
600/60 =10
600/70 = 8.5
and its direct variation because on a graph 8.5 8.5 squares up for ever 1 square going over every time and the graph does curve but I haven't learned this stuff in years so I'm not 100% sure
Elijah currently owes a total of $1,649.70 on his revolving credit accounts. What is Elijah's debt-to-credit ratio if the total of his revolving credit limits is $6,345.00? Round the final answer to the nearest whole percent.
a
26%
b
38%
c
41%
d
50%
a. 26%
sorry if wrong...
what is 1 half of 2 thirds
Is 9 a positive number?
Yes, 9 is a positive number because 9 is a natural number and also we use 9 in our daily life counting problems also.
Let's first attempt to understand what numbers are.
A number is an arithmetic value that is computed and used to represent a quantity. Numbers are represented in writing by symbols like "3," which are numerical symbols. A number system is a methodical way of employing digits or other symbols to represent numbers. The numerical system is a useful set of numbers that reflects the mathematical and algebraic structure of the number. provides a typical illustration.
Positive numbers Any number that represents something other than zero is considered to be positive. When referring to the amount of money in your bank account, a positive figure would undoubtedly make you feel good as well.
So 9 is a positive number.
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HELP HELP HELP I NEED HELP ASAP
How Do I answer this question
Answer:
You say help is no more
Step-by-step explanation:
What is the largest prime factor of 999?
Answer:
37
Hope this helps :)
guess what answer correcly its a classic ill give you brailynes
Answer:
Um.. Hello there. You haven't added any links to this post so we cannot see what the question was. Sorry to bother you!
Identify the function that is exponential
Answer:
d. y=-3(0.5)^x
Step-by-step explanation:
since all other functions are ^ of a number, whereas the odd one out is d with an x as an exponent
therefore y = -3(0.5)^x is exponential
hope this helps:)
What is the perimeter?
Help plz...
And No links!! I repeat No links!!
Answer:
b=4
perimeter=12
Step-by-step explanation:
frist find b by using pythagory theorm
the a+b+c=perimeter
A solid metal sphere with diameter 6cm needs to be covered with a protective
material which costs £0.25 per cm2.
How much will it cost to cover the sphere with the material?
Give your answer rounded to 2 DP.
Answer:
It will cost: £28.28
Step-by-step explanation:
Area of sphere = 4 x π x r2
Area of Circle = 4 x π x 3^2 = 113.097 (radius is half of diameter)
113.097 / 0.25 = 28.28
How do you plot a graph step by step?
Plotting a graph step by step is mentioned below.
Define Graph.In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.
What is Bar graph?Using rectangular bars with heights or lengths proportionate to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.
There are a few steps to follow when plotting a graph:
Identify the variables in the problem and choose which one to plot on the x-axis and which one to plot on the y-axis.Determine the range of values for each variable. This will help you decide how big to make the scales on the x and y-axis.Choose a scale for each axis. The scale should be such that all the points in the problem can be plotted on the graph. A typical scale is to have equal intervals between each tick mark on the axis.Plot the points on the graph by locating their x-coordinate and y-coordinate on the x-axis and y-axis, respectively, and connecting them with a dot.Draw the x- and y-axes and label them with the appropriate units and ranges. Be sure to include a label on the graph itself so that it's clear what the graph represents.Plot any lines or curves that are also a part of the problem. This could be a line of best fit, a linear regression line, a polynomial function or any other lines or curves that the problem calls for.Once you finished with the line/curve, it is a good practice to give the graph a title and to label the axis with the units used.Lastly, review the graph and ensure that it is accurate and clearly presents the information from the problem.To know more about graph visit:
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help anyone or somebody please o^o
Answer:
27 degrees
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees.
x + 40 + 113 = 180
x + 153 = 180
x = 180 - 153
x = 27 degrees
What does 8 mean in math?
The number 8 (eight) is represented by a number and numeral.
It is the natural number that follows seven and precedes nine. Given that it is an integer and a cardinal number, it can be counted. It is distinguished from imaginary numbers by being categorised as a real number.
Eight is a composite number, and its proper divisors are 1, 2, and 4. Eight can be written as 23, which when said aloud sounds like two cubed. It has a 7 aliquot total. All powers of two add up to an aliquot that is one less than their own.
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Mr. Johnson needs to determine how many square meters of grass they need to buy for their yard.
2 m
5 m
9 m
10 m
How much grass will he need to buy to cover his yard?
Answer:
Amount of grass needed (In square meter) = 34 meter²
Step-by-step explanation:
Divide given shape into rectangle and trapezium
Given:
Width of rectangle = 2 m
Length of rectangle = 5 m
Height of parallelogram = 9 - 5 = 4 m
Base of parallelogram = 10 m
Opposite site of parallelogram = 2 m
Find:
Amount of grass needed (In square meter)
Computation:
Amount of grass needed (In square meter) = Area of rectangle + Area of parallelogram
Amount of grass needed (In square meter) = (l x b) + (1/2)(sum of parallelogram)(height)
Amount of grass needed (In square meter) = (5 x 2) + (1/2)(2 + 10)(4)
Amount of grass needed (In square meter) = 10 + (1/2)(12)(4)
Amount of grass needed (In square meter) = 10 + 24
Amount of grass needed (In square meter) = 34 meter²
The sum of an integer and seven times next consecutive odd integers -26 find the value of the lesser integer
Answer:
-5
Step-by-step explanation:
Let n = an integer
Let (n+2) = the next consecutive odd integer
n + 7( n + 2) = -26 Distribute the 7
n + 7n + 7(2) = -26
n + 7n + 14 = -26 Combine like terms
8n +14 = -26 Subtract 14 from both sides
8n + 14 - 14 = -26 -14
8n = -40 Divide both sides by 8
n = -5
The next consecutive odd integer would be -3
Consecutive just means the next number.
Let f be a polynomial with integer coefficients, of degree n>1. What is the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),...
The maximal number of consecutive integers by using the expression [tex]2*sqrt(n*|a|).[/tex]
Let f(x) = ax^n + bx^{n-1} + ... + z be a polynomial with integer coefficients and degree n>1. According to the theorem of Tchebychev, the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... is bounded by the expression 2*sqrt(n*|a|), where a is the coefficient of the highest degree term of f(x).
For example, let f(x) = 3x^3 + 4x^2 - 5. The coefficient of the highest degree term is 3, and the degree of the polynomial is 3. Therefore, the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... is 2*sqrt(3*|3|) = 6.
To calculate this maximal number, we can follow these steps:
Identify the degree of the polynomial, n.
Identify the coefficient of the highest degree term, a.
Calculate the maximal number of consecutive integers by using the expression 2*sqrt(n*|a|).
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Solve the quadratic by factoring. 3x^{2}+7=-8x+3 3x 2 +7=−8x+3
The roots of the given quadratic equation are x = -2/3 and x = -2.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is a quadratic equation as follows -
3x² + 7 = - 8x + 3
The given quadratic equations are -
3x² + 7 = - 8x + 3
3x² + 8x = 3 - 7
3x² + 8x + 4 = 0
(x + 2/3)(x + 2) = 0
(x + 2/3) = 0 and (x + 2) = 0
x = -2/3 and x = -2
Therefore, the roots of the given quadratic equation are x = -2/3 and x = -2.
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Which ordered pair is not a solution to the inequality 2x+4y<9
Answer:
2x+4y,9
Step-by-step explanation:
What is the coefficient in the following expression
What is the slope of y = 4x + 7?
Answer:
slope = 4
Step-by-step explanation:
Given equation
y = 4x + 7
Comparing the given equation with y = mx + c
so
Slope (m)
= 4
Hope it will help :)❤
Find the volume of each figure. Round to the nearest hundredth when necessary.
Anna's hair has grown
2
3
of an inch in the 6 weeks since her last haircut. How fast does her hair grow?
Answer:
Her hair grows 1/9th of an inch. Hope this helped you
Step-by-step explanation:
Which expression can be used to determine the total weight of a box that by itself weighs 0. 3 kilogram and contains p plaques that weigh 3. 2 kilograms each?
The expression is t = 0.3 + 3.2p, where t is the box's overall weight and p is the number of plaques it contains.
Let's review the data given to us to properly respond to the question:
Weight of a box by itself = 0.3 kg
Weight of a plaque = 3.2 kg
The expression can be used to determine the total weight of the box :
We shall use the following phrase to respond to the query:
Total weight of the box in kg = t
Number of plaques inside the box = p
Hence, the expression t = 0.3 + 3.2p
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i need help plz and thanks
Answer:
[tex]\pi{r}^{2} [/tex]
[tex]\pi {(13.5)}^{2} [/tex]
27 is the diameter so u divide it by 2 to get the radius which is 13.5
equals 572.56
the mean of six numbers is 12 five of the numbers are 11 7 21 14 and 9 calculate the six numbers
Answer:
sixth number is 10
Step-by-step explanation:
(11 + 7 + 21 + 14 + 9 + x) / 6 = 12
(62 + x) / 6 = 12
cross-multiply to get:
62 + x = 72
x = 10
NEED ANSWER ASAP GIVING 15 PTS!!! TEST DUE IN 5 MINS!!!
Given the rule y=12x−4 complete the table below.
Answer:
(-4,-52)
(1/12,-3)
(1/3,0)
(0,-4)
(3,32)
Step-by-step explanation
i think thats right
Ason is organizing the silverware drawer. He has 8 spoons. There are twice as many forks as spoons. There are 34 as many knives as forks. How many knives does Jason have
The result of two Newton's technique iterations to approximation a function's zero using the provided starting guess is 1.5262!
What is a formula that is iterative?Iteration describes carrying out a process repeatedly. To get a new value, start with an initial value and enter it into the iteration formula. To solve an equation using iteration, apply the new value for the subsequent substitution after that, and so on.
By Newton's Method, we have new guess of a zero of a function that are f(x), xn+1, and by using the previous guess, xn, like so-
xn+1 = xn - f(xn)/f'(xn)
and herethe case is [tex]f(x) = cos(x), and so f'(x) = -sin(x).[/tex]
Also, furthermore, [tex]cos(x)/(-sin(x)) = -cot(x).[/tex]
here, we have to simplify the formula to get a better guess for a zero to: xn+1 = xn + cot(xn)
[tex]x1 = 0.6, so x2 = 0.6 + cot(0.6) = 2.06170...\\And x3 = 2.06170... + cot(2.06170...) = 1.52615...\\Ans = 1.5262![/tex]
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which value in the set {5,6,7,8,9} is a solution of the equation 21 - f = 13? Show your work.
Answer:
f=8
Step-by-step explanation:
Other way is to rest 21 by 13 that will give you 8.
Helpppp i don’t get this
Find the length of the third side. If necessary, round to the nearest tenth. 8 16 it’s on a triangle
Answer:
13.9Step-by-step explanation:
Let the missing side be x.
Use Pythagorean:
x² + 8² = 16²x² = 256 - 64x² = 192x = √192x = 13.9 (rounded to the nearest tenth)What is the axis of symmetry of the function f x =-( x 9 )( x 21?
The axis of symmetry of the function f(x) = -( x 9 )( x 21) is x = 15.
The axis of symmetry of a parabola is a line that divides the parabola into two exact mirror images. In this case, the parabola is defined by the quadratic function f(x) = -(x-9)(x-21). To find the axis of symmetry, we can take the average of the x-coordinates of the two solutions, which are 9 and 21. The average of 9 and 21 is 15, so the axis of symmetry is x = 15. This means that the parabola is symmetrical about the line x = 15, and the vertex of the parabola is located at the point (15,0).
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