Answers
Answer:
x = 3 + \(\sqrt{3}\) , 3 - \(\sqrt{3}\)
Step-by-step explanation:
(2x-3)(x-2) + (x9x-2) = (x)(2x-3)
(2x-3)(x-2)+x(x-2)=x(2x-3)
(2x-3)(x-2)=x(2x-3)-x(x-2)
2x^2 -4x = x(2x-3 - x -2)
2x^2 - 7x + 6 = x^2 - x
\(x^{2}\) - 6x + 6 = 0
use quadratic equation to get to final answer
-b +- \(\frac{-b+\sqrt{b^{2} -4ac } }{2a} , \frac{-b-\sqrt{b^{2} -4ac } }{2a} where a = 1 b = -6 and c= 6\)
Related Questions
A box of writing utensils on a teacher's desk contains 5 red pencils, 7 green pencils, 9 red markers, and 4 green markers.
What is the probability of selecting a red writing utensil or a marker?
Answers
Answer:
18/25= 72%
Step-by-step explanation:
total writing utensils = 25
add red utensils ( 5 pencils + 9 markers) = 14 plus 4 markers = 18
18/25= 72%
Write as an algebraic expression: the difference of 27 and 5
Answers
The algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
How to write the statement as an algebraic expression?The statement is given as:
the difference of 27 and 5
Difference means minus.
The minus sign is represented as -
This means that the statement given as: the difference of 27 and 5
Can be represented as
27 minus 5
So, have
27 - 5
Hence, the algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
Read more about algebraic expression at
https://brainly.com/question/4344214
#SPJ1
The Red Cross is distributing water to
disaster victims. They have 500 gallons of
water and they give 2 gallons to each
person in need. Write an equation
describing the amount of water, w, the Red
Cross has left and the number of people, p,
they have helped
Write the equation, then state how many victims could receive water until the red cross has only half of the original water that they started with left ?
Please help me asap it’s due in 30 minutes!
Answers
Step-by-step explanation:
500=2x
x= 250....ppl can get water
250==2x
125....ppl can get water now
Simplify 7 to the power of 6 ⋅ 7 to the power of 5.
Answers
7^5 = 16807
so now you multiply
I need help please help me
Answers
Explanation: b is the point on the y axis where the line intersects . From your picture, that’s 3.
Slope, or m, is RISE OVER RUN. From the photo, you rise up 1, run over 2. That’s 1/2. Since you ran left it’s negative. So the slope, m, is -1/2.
Since you now know m and b, you can write your equation.
y = -1/2x +3
Answer:
y=-1/2+3
Step-by-step explanation:
I am so sorry. Before I accidentally flipped the 1 and the 2
answer quickly
Write an equation of the cosine function with amplitude 2 and period 6π.
Answers
The cosine function with amplitude 2 and period 6π is given by:
y = 2cos(x/3).
What is the standard cosine function?The standard cosine function is given by:
y = Acos(Bx).
In which:
The amplitude is A.The period is of 2pi/B.For a cosine function with amplitude 2 and period 6π, we have that A = 2 and B = 1/3, hence:
y = 2cos(x/3).
More can be learned about the cosine function at https://brainly.com/question/23325498
#SPJ1
Use the graph that shows the solution f(x) = g(x)
F(x) = x^2 + 4x +2
G(x) (1/2)^2 + 1
What is the solution to f(x) = G(x)
A -1
B 0
C 2
D 3
Answers
The solution of both the functions, f(x) = g(x) = 2, is option(c).
What is a function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities.
Given two functions,
f(x) = x² + 4x + 2
g(x) = \((1/2)^{x} + 1\)
observe the graphs below
We are asked to find the solution of f(x) = g(x)
The solution that satisfies both functions is the intersecting point of both graphs.
From the graph, it is observed as (0,2)
Hence when x =0, the solution of both the functions f(x) = g(x) = 2, which is option(c).
To learn more about functions, follow the link.
https://brainly.com/question/11624077
#SPJ1
Julio's wages vary directly as the number of hours that he works. if his wages for 5 hours are $29.75, how much will he earn for 30 hours?
Answers
Answer:
$178.50
Step-by-step explanation:
Big brain go thinky-think.
The standard deviation is the blank______ of the variance.
a) square
b) square root
c) inverse exponent
Answers
Standard deviation is the square root of variance .
So,
It is used in measuring any deviation or shift from the calculated mean.
From a data set, the mean of the data can be determined with which the standard deviation can be measure.
Therefore, Standard deviation is use to measure variation that exist in an individual data set. There are different type of data set from which variation is measured.
Learn more on Standard deviation,
brainly.com/question/475676
#SPJ4
(Help please:)!)
What is the perimeter of A"B"C"D"? Explain how you found the perimeter.
Answers
Answer:
26.3
Step-by-step explanation:
Perimeter is found by adding up all the sides.
8+6+6+6.3
18.3+8 =26.3
Answer:
26.3
Step-by-step explanation:
First, you find the perimeter of the original image, 6+6+6.3+8 = 26.3
Because the shape is only rotated, they are equal which means all 3 shapes have the same perimeter.
Find the solution of the square root of the quantity of x plus 3 plus 6 equals 9, and determine if it is an extraneous solution. x = 0; extraneous x = 0; not extraneous x = 6; extraneous x = 6; not extraneous
Answers
The equation square root of (x + 3) + 6 = 9 has two potential solutions, x = 0 and x = 6. However, upon analysis, it is determined that x = 0 is an extraneous solution while x = 6 is not extraneous.
To find the result of the given equation, we'll break it step by step and also determine if any results are extraneous.
The given equation is
√( x + 3) 6 = 9
Let's break it
Step 1 Subtract 6 from both sides of the equation
√( x +3) = 9- 6
√( x +3) = 3
Step 2 Square both sides of the equation to exclude the square root
( x + 3) = \(3^{2}\)
( x + 3) = 9
Step 3 Subtract 3 from both sides of the equation
x = 9- 3
x = 6
The result to the equation is x = 6.
Now, let's determine if this result is extraneous or not.
To check if the result is extraneous, we need to substitute it back into the original equation and see if it holds true.
Original equation √( x + 3) + 6 = 9
Substituting x = 6
√( 6 +3) + 6 = 9
√ 9 +6 = 9
3 +6 = 9
9 = 9
Since the equation holds true when x = 6, the result x = 6 is NOT an extraneous result.
thus, the correct statements are
x = 0; not extraneous
x = 6; not extraneous
Learn more about equation here:
https://brainly.com/question/2396830
#SPJ11
find an equation of the tangent line to the curve at the given point. y = ln(x2 − 2x + 1), (2, 0)
Answers
The equation of the tangent line to the curve y = ln(x^2 - 2x + 1) at the point (2, 0) is y = 2x - 4.
First, let's find the derivative of the function
y = ln(x^2 - 2x + 1).
Using the chain rule, the derivative is given by:
dy/dx = (1 / (x^2 - 2x + 1)) * (2x - 2) = (2x - 2) / (x^2 - 2x + 1)
Now, we can find the slope of the tangent line at x = 2 by substituting the x-coordinate of the given point into the derivative:
m = (2(2) - 2) / ((2)^2 - 2(2) + 1) = 2 / 1 = 2
So, the slope of the tangent line at the point (2, 0) is 2.
Next, we can use the point-slope form of the equation of a line to find the equation of the tangent line.
Given the point (2, 0) and the slope m = 2, the equation of the tangent line is:
y - 0 = 2(x - 2)
Simplifying this equation gives us the equation of the tangent line:
y = 2x - 4
Therefore, the equation of the tangent line to the curve y = ln(x^2 - 2x + 1) at the point (2, 0) is y = 2x - 4.
To learn more about chain rule click here: brainly.com/question/31585086
#SPJ11
determine if two triangles are necessarily congruent. if so in a flowchart proof to prove the they are.
Answers
Yes the two triangles are necessarily congruent as they are right angled so both the angles are equal and having two sides equal by using SAS rule that is Side, Angle, Side rule by the property of congruency.
What is Congruency?Two figures are considered to be "congruent" if they can be positioned precisely over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.
What are the rules of congruency?If two triangles meet all 5 requirements for congruence, then they are congruent. They are right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SAS) (RHS).
Here the ΔCED and ΔPOR,
∠CED=∠POR
Side PR=CD
Side ED=PO
by using SAS rule,
ΔCED≅ΔPOR
Yes, the two triangles are inherently congruent because they have right angles, which means that both of their angles are equal, and because their sides are equal according to the SAS rule, which stands for Side, Angle, Side.
To know more about congruency,
https://brainly.com/question/10677854?referrer=searchResults
#SPJ13
Function or not a function?
Answers
Function has one y for one x. if you pass line through x = 7 it cuts graph on different values of y
it is not function
Solve for x:
3х + 2 = 11
Answers
Answer:
Move all terms that don't contain x to the right side and solve.
x = 3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
3x + 2 = 11
Subtract by 2 on both sides
3x = 9
Divide by 3 on both sides
x=3
Lena has $87.39 in her bank account. She deposits $5.25 on Wednesday. On Friday she withdraws $15.
What is the balance in her account? $
Do not include any symbols or words with your answer
Answers
87.39 + 5.25 - 15
$77.64
Select the correct answer.
What is the total number of lines of symmetry for this figure?
A. 0
B. 1
C. 2
D. 4
Answers
Answer: 2
Step-by-step explanation:
Describe the transformation from the parent function of f ( x ) = x 2 to g ( x ) = 6 x 2.(Need answer in less than 2 hours!)
Answers
Answer: (b) vertical stretch by a factor of 6
Step-by-step explanation:
Consider h(x) = A(x - h)² + k
A is the vertical stretch by a factor of Ah is the horizontal shift (positive = right, negative = left)k is the vertical shift (positive = up, negative = down)f(x) = x²
g(x) = 6x²
↓
vertical stretch by a factor of 6
Factorise the following:
X^2+2x
Answers
Answer:
x(x + 2)
Step-by-step explanation:
x² + 2x ← factor out the common factor x from each term
= x(x + 2)
what is 35 - (0.35 x 100)
Answers
Answer:
0
Step-by-step explanation:
First let's solve for the value in the parentheses.
\(0.35 \cdot 100 = 35\)
We know this is correct because if we multiply a value by 100, the decimal point is moved 2 places to the left.
35 - 35 = 0, so the value of this expression equals out to be 0.
Hope this helped!
Is this correct? I need help
Answers
Find the term of the following arithmetic sequence. 15,22 , 29 , 36 ,
Answers
Answer:
The sequence can be continued by adding 7 to each number.
Step-by-step explanation:
15 + 7 = 22
22 + 7 = 29
29 + 7 = 36
36 + 7 =...... 43 would be your next number
a sign in the elevator of a college library indicates a limit of 16 persons. in addition, there is a weight limit of 2,500 pounds. assume that the average weight of students, faculty, and staff at this college is 155 pounds, that the standard deviation is 29 pounds, and that the distribution of weights of individuals on campus is approximately normal. a random sample of 16 persons from the campus will be selected.
Answers
The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%
Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.
Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.
The total weight of a group of 16 individuals can be estimated as follows:
Total weight = 16 x average weight = 16 x 155 = 2480 pounds
To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:
Standard deviation of total weight = square root of (n x variance)
where n is the sample size (16) and variance is the square of the standard deviation (29 squared).
Standard deviation of total weight = square root of (16 x 29^2) = 232.74
Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:
Z-score = (2,500 - 2,480) / 232.74 = 0.86
Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.
Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.
To know more about probability click on below link :
https://brainly.com/question/14210034#
#SPJ11
Choose 3 side lengths that would create a right triangle in order from shortest to longest. (G.8a, 3 points) 4 15 7 25 24 Shortest Side Middle Side Longest Side
Answers
Answer:
Shortest = 7, Middle = 24, Longest = 25.
Step-by-step explanation:
7^2 + 24^2 = 25^2
49 + 576 = 625
625 = 625
2. 8 × - 11 - 3× + 8
please solve this thankyou!!
Answers
Answer:
-54.8 ( in fraction -274/5)Step-by-step explanation:
2.8 × (-11) - 3 × 8 =
-30.8 - 24 =
-54.8 ( in fraction -274/5)
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
The actual product is unreasonable. It should be near 80 but less than 80 because both factors were rounded down.
The actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal.
The actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.
Answers
Answer:
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
name the property of real numers illustrated by each equation. 16+(-13)=-13+16
Answers
Answer: Commutative property of addition
The order doesn't matter when it comes to adding.
The general rule can be written as x+y = y+x.
Please help. Which choice describes the shape of the data?
Answers
Answer:
?
Step-by-step explanation:
Which expression is equivalent to |18|+ |-7|?
Answers
Answer:
18+7
Step-by-step explanation:
Find the sum please!
Answers
The solution of expression is,
⇒ (6 + a⁴b) / a²b²
We have to given that,
An expression to solve is,
⇒ 6/a²b² + a²/b
Since, Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, WE can simplify the expression as,
⇒ 6/a²b² + a²/b
Take LCM;
⇒ (6 + a² × a²b) / a²b²
⇒ (6 + a⁴b) / a²b²
Therefore, The solution of expression is,
⇒ (6 + a⁴b) / a²b²
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1