Answers
3x + 1 = x^2 - 2x + 1
0 = x^2 -5x
0 = x(x-5)
x = 0,5
Hope this helps!
Related Questions
Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.
Answers
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)
Suppose a card is drawn from a deck of 52 playing cards. what is the probability of drawing a 3 or a queen?
Answers
There are also a queen in every suit...that's four queens as well.
Therefore, there are 8 cards in the deck which are either 3 or queens.
8/52 is base probability. Reduce by dividing out a 4 from both terms.
P(drawing a 3 or queen) = 4/13
Final answer:
The probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards is 2 / 13, or approximately 15.38%.
Explanation:
The question asks for the probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards. There are four 3s and four Queens in a standard deck, making a total of eight specific cards that fulfill our criteria out of 52. To calculate this probability, we divide the number of favorable outcomes (drawing a 3 or a Queen) by the total number of outcomes (total cards in the deck).
The formula for calculating the probability, P(A), of an event A (in this case, drawing a 3 or a Queen) is:
P(A) = Number of favorable outcomes / Total number of outcomes
Therefore, P(3 or Queen) = 8 / 52 = 2 / 13. This simplifies to approximately 0.1538 or 15.38%.
This means that when you draw a card from a standard deck of 52 playing cards, you have approximately a 15.38% chance of drawing either a 3 or a Queen.
h(x) = x^2 + 1 k(x) = x – 2
(h + k)(2)=?
Answers
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.
Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1
Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2
Answer: the answer is 5
Step-by-step explanation: edge 2020
A rectangular picture frame measures 10 cm by 12 cm. Do you want to triple the frames area by adding the same distance "x" to the length and the width. Write and solve an equation to find the value of "x". What are the new dimensions of the picture frame?
Answers
x(x+30)-8(x+30)=(x-8)(x+30). To make the expression equal to 0, since 0 multiplied by anything is 0, we have to figure out when x-8 and x+30 equal 0, which is when x=8 and -30 respectively (To do this, you could add 8 from both sides to turn x-8=0 to x=8, and something similar to -30). Plugging each one in, we get (10+(8))*(12+(8))=18*20=360. To make sure there aren't 2 solutions, we get that the new width is 10-30=-20, which clearly can't be negative , making x equal to 8.
Which algebraic expression models the given word phrase 10 times the sum of a and b?
Answers
Answer:
[tex]10(a+b)[/tex]
Step-by-step explanation:
We are asked to write an algebraic expression for the given word phrase.
The sum of 'a' and 'b' would be [tex]a+b[/tex].
10 times the sum of 'a' and 'b' would be 10 multiplied by sum of both 'a' and 'b': [tex]10(a+b)[/tex]
Therefore, our required algebraic expression would be [tex]10(a+b)[/tex].
Use the properties of logarithmic functions to simplify the expression on the left side of the equation and determine the values of x and y. Then evaluate the simplified expression.
The value of x is , and the value of y is. The value of the expression, rounded to nearest hundredth, is
Answers
Properties of exponents tell us that:
log7(2) / log7(5) = log5(2)
x = 5
y = 2
Answer = 0.43
By using the logarithmic property the solution of the given function will be 0.43.
What is Logarithm?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The solution of the given expression is given as:-
Log7(70) - log7(35) = log7(70/35) = log7(2)
Properties of exponents tell us that:
log7(2) / log7(5) = log5(2)
x = 5
y = 2
Answer = 0.43
Therefore using the logarithmic property the solution of the given function will be 0.43.
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What is the r (common ratio) for the geometric sequence: -3, -15, -75, -375, -1875...
Answers
Please vote my answer brainliest. thanks!
Round 26502.9085923 to the nearest hundredth
Answers
The sum of x to the sixth power and 3 times x
Answers
x to the 6th power is [tex]x^6[/tex]
3 times x is 3x
sum of x to the 6th power and 3 times x is [tex]x^6+3x[/tex]
What would you do if ST were not equal to TU when you checked the problem?
Answers
What is 64.48 rounded to the nearest whole number?
Answers
A equilateral triangle is rotated around an axis bisecting the triangle. what shape is formed
Answers
Answer:
A right cone. If an equilateral triangle were to be cut in half then it would form a right triangle then if this right triangle were rotated 360 degrees it would form a right cone
Step-by-step explanation:
A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1600 feet, what are the dimensions of the field?
Answers
Final answer:
The width of the field is 80 feet, and the length is 720 feet, calculated using the perimeter formula and the given ratio of length to width.
Explanation:
To determine the dimensions of the rectangular field, we need to set up two equations based on the given information that the field's length is nine times its width and that the perimeter is 1600 feet. We'll let w represent the width of the field and l represent the length.
Since the field's length is nine times its width, we can express this as l = 9w. The perimeter P of a rectangle is given by P = 2l + 2w. Since we know the perimeter is 1600 feet, we can use this to create the equation 1600 = 2(9w) + 2w, which simplifies to 1600 = 18w + 2w.
Combining like terms gives us 1600 = 20w, and solving for w gives us w = 1600 / 20, so w = 80 feet. Knowing w, we can find l by multiplying the width by 9: l = 9w = 9 × 80 = 720 feet.
Therefore, the dimensions of the field are a width of 80 feet and a length of 720 feet.
How many days between 09/26/16 and 10/04/2016?
Answers
There are 7 days between September 26, 2016, and October 4, 2016.
To find the number of days between 09/26/16 and 10/04/16, you can follow these steps:
Start Date: September 27, 2016End Date: October 3, 2016Count the days from September 27 to October 3 as the question asks for days between 26 September and 4 October, i.e., days belonging to the interval (26 September,4 October).Let's break it down:
September 27 to September 28: 1 daySeptember 28 to September 29: 1 daySeptember 29 to September 30: 1 daySeptember 30 to October 1: 1 dayOctober 1 to October 2: 1 dayOctober 2 to October 3: 1 dayWhen you add these, the total is 7 days.
Therefore, there are 7 days between 09/26/16 and 10/04/16.
A dreidel is a top with four sides, used in a Hanukah game. The sides are labeled with the Hebrew letters, nun, gimel, hay, and shin. A dreidel is spun 100 times, with the following results: nun 10 gimel 45 hay 24 shin 21 A player wins tokens if the dreidel lands on either gimel or hay. What is the probability of winning tokens? a. 0.54 c. 0.69 b. 0.63 d. 0.87
Answers
45 gimmel and 24 hay
total is 45+24=69
69/100 or 69% chance of winning or 0.69
answer is C (confusing because C is 2nd option)
The probability of winning tokens is 0.69. Therefore, the option C is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.
Given that, dreidel is spun 100 times, with the following results: nun =10, gimel =45, hay =24 and shin =21.
A player wins tokens if the dreidel lands on either gimel or hay.
Here, probability of getting gimel is 45/100
The probability of getting hay is 24/100
So, the probability of an event is 45/100 +24/100
= 69/100
= 0.69
Therefore, the option C is the correct answer.
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Which of the following is not part of the job search preparation checklist
A- self assessment
B-resume
C-fact sheet
D- follow up plan
Answers
Answer:
c). Fact sheet
Step-by-step explanation:
A). Self assessment
Self assessment is analyzing oneself or examining oneself. This is important for job search as to it provides a clear idea in our mind that what we actually want to do and want we are interested in.
B). resume
Resume is very important in job search. It is basic bio data or a brief summary of our education and past employment experience if any. It also showcases our strength and weakness and our main objective in our life.
C). fact sheet
Fact sheet is a list of facts or events listed in a chart and it has no connection to any job search. It may be good to have knowledge about facts but it is not necessary and compulsory for job search.
D). follow up plan
Follow up plan is a routine check to be done when searching for jobs. Searching for vacancies, contacting the company and following up with the employer is a necessary thing in job search.
Therefore, C). fact sheet is not a part of job search preparation checklist.
Of all the students enrolled at Anderson High School, 9, percent are in the band. The band has 1801members.How many students are enrolled at Anderson?
Answers
Name the property illustrated by each statement:
1. If x+9=2, then x+9-9=2-9
2. If x=3y and 3y=16. then x=16
Answers
Final answer:
The first statement demonstrates the Subtraction Property of Equality, and the second statement shows the Transitive Property of Equality, both of which are fundamental in solving linear equations.
Explanation:
The property illustrated by each statement:
If x+9=2, then x+9-9=2-9. This is an example of the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.If x=3y and 3y=16, then x=16. This is known as the Transitive Property of Equality, where if one value equals a second value, and the second value equals a third value, then the first value equals the third value.Understanding these properties helps in solving linear equations and applying basic operations in algebra.
Final answer:
The properties illustrated are the Subtraction Property of Equality and the Transitive Property of Equality, used in solving linear equations.
Explanation:
The question is asking to name the property illustrated by each statement:
Subtraction Property of Equality: If x+9=2, then x+9-9=2-9. This shows that if you subtract the same number from both sides of an equation, the equality is maintained.
Transitive Property of Equality: If x=3y and 3y=16, then x=16. This property states that if one quantity equals a second, and the second quantity equals a third, then the first quantity equals the third.
These properties are fundamental in solving linear equations and are used to manipulate and solve equations for a specific variable.
What percent of 225 is 180
Answers
Which is a stretch of an exponential decay function? f(x) = 4/5(5/4)^x f(x) =4/5(4/5)^x f(x) =5/4(4/5)^x f(x) =5/4(5/4)^x
Answers
Answer:choice three
Step-by-step explanation:
Answer:
The correct option is 3. The function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.
Step-by-step explanation:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex]
where, a is the initial value and b is the growth factor.
If b<1, then it represents a decay function and if b>1, then it represents a growth function.
Let k be a stretch and compression factor.
[tex]g(x)=kf(x)[/tex]
If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.
In third function
[tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex]
[tex]k>1[/tex]
[tex]b<1[/tex]
Therefore the function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.
the sum of four consecutive integers os -18. what is the greatest of these integers?
Answers
Answer:
-3
Step-by-step explanation:
-3+(-4)+(-5)+(-6)=-3-4-5-6=-18
-3 is the greatest because the smaller the number behind the negative sign, the larger the number that's larger than that but behind a negative sign is smaller. e.g. -4 is less than -3
What is “Twice a number is more than the sum of that number and 9” written in equation form?
Answers
The length of a rectangle is 3 times the width.the permitted of the rectangle is 72ft find the dimensions of the rectangle
Answers
l = 3w
Using this, we can make all the variables the same by substitution:
2l + 2w = perimeter
2l + 2w = 72
2(3w) + 2w = 72
6w + 2w = 72
8w = 72
w = 9
The width is 9, to the length must be 9*3, or 27.
Hope this helped!
how to solve for literal equations with multiple variables
Answers
Which unit rates would be appropriate for describing the rate of growth of a tree?
Select each correct answer.
inches per year
millimeters per week
milliliters per minute
miles per hour
Answers
Inches per year
Hope i helped!
The second answer is millimeters per week. You're welcome!
which term best describes the intersection of two lines?
a) angle
b) line segment
c) point
d) ray
Answers
When two lines intersect, you will get a coordinate which makes a point. It might be confused with the angle. To make an angle, you need two rays, not two lines. In fact, when 2 lines intersect the angle made will be 4 angles. But intersecting lines should only make 1 point.
What are the zeroes of f(x) = x2 − 9x + 20?
Answers
x²-9x+20
(x-5)(x-4)
x-5=0 | x=5
x-4=0 | x=4
The zeros are 4 and 5
F(x)=T-2(X+4)^2 where t is the constant. If f(-8.3)=f(a) and a > 0 what is the value of a ?
Answers
We are given the equation:
F (x) = T – 2 (x + 4)^2 ---> equation 1
Since we know that f (-8.3) = f(a) and a>0, therefore from equation 1 we can generate that:
(x + 4)^2 = (a + 4)^2
(-8.3 + 4)^2 = (a + 4)^2
(-4.3)^2 = (a + 4)^2
(a + 4)^2 = 18.49
a + 4 = 4.3
a = 0.3
Thirty-one books are arranged from left to right in order of increasing prices. The price of each book differs by $2 from that of each adjacent book. The price of the book at the extreme right is equal to the price of the middle book plus a book adjacent to the middle one. Give an expression for the cost of the $n$th book in terms of $n$.
Answers
Case 1: The last book costs the same as the middle book and one to its right. Then
x + (x+2) = x + 30
x = 28
However, this means the leftmost book costs x-30 = -2 dollars, which is unlikely.
Case 2: The last book costs the same as the middle book and one to its left. Then
x + (x-2) = x + 30
x = 32
In this case, the costs of the books are
$2, $4, $62.
The nth book costs 2n dollars.
A company bought a total of 4 1/2 feet of cable to connect 3 computers to the wall outlet. Each computer needs the same amount of cable. How many feet of cable are needed to connect each computer?A.1 1/2 ft B.1/3 ft C.1 1/3 ft D.1/2 ft please help i will mark brainliest
Answers
Answer:
A Hope this helps
Step-by-step explanation: