Answer: F(x)=ax²+bx+c
If a=b=0 then F(X)= constant
If a=0 & b≠0 then F(X) is a linear function
If a≠0 then F (X) is a quadratic function
Step-by-step explanation:
Complete the function for this graph.
Answer:
\(y=|x-(-2)|+2\)
Step-by-step explanation:
Hope this is helpful.
The required absolute function is given as y = |x - 2| + 2.
Given that,
From the graph, y = |x - h| + k, values of h and k is to be determined,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the graph and function, h represents the shift on the x-axis, which 2 units left so the value of h is 2, while k is given the shift of the function over the y-axis which 2 units up means that k = 2
Thus, The required absolute function is given as y = |x - 2| + 2.
learn more about function here:
brainly.com/question/21145944
#SPJ2
Put the following equation of a line into slope-intercept form, simplifying all fractions. 8y – 20x= –8
Answer:
y= ((10 / 4) * x )- 1
Step-by-step explanation:
First we isolate the y variable
substract - 20x both sides
8y = 20x-8
divide both sides by 8 to isolate y
y = ((20/8)x) -1
simplify fraction
y = ((10/4)x) - 1
5x+2y = 19
1x + 4y=13
Answer:
{x,y} = {25/9,23/9}
Step-by-step explanation:
// Solve equation [2] for the variable x
[2] x = -4y + 13
// Plug this in for variable x in equation [1]
[1] 5•(-4y+13) + 2y = 19
[1] - 18y = -46
// Solve equation [1] for the variable y
[1] 18y = 46
[1] y = 23/9
// By now we know this much :
x = -4y+13
y = 23/9
// Use the y value to solve for x
Someone please help me on this!!
Answer:
Four percent
Step-by-step explanation:
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 33 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories.(a) Give the distribution of X. (Round your standard deviation to two decimal places.) - ? (b) For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
(a) The distribution of x is x ~ N\((33, 10^2)\)
(b) The probability that the percent of fat calories a person consumes is more than 6 is P(z > - 2.7)
Lower and Upper Quartiles:The lower quartile is the point that separates the lower 25% of the data from the rest. While the upper quartile separates the lower 75% (or upper 25%) from the rest of the data. The lower and upper quartiles are respectively known as the first and third quartiles.
Calories that a person each day is normally distributed.
Population mean, μ = 33
Population standard deviation, σ = 10
If "x" represent the percent of fat calories then the z - scores for "x" can be given as:
z = x - μ / σ
(a) The distribution of "x" will be normal with the mean equal to 33 and standard deviation equal to 10. It can be written as x ~ N\((33, 10^2)\)
(b) The probability that the percent of fat calories a person consumes is more than 6:
P(x > 6) = P \((z > \frac{6 - 33}{10} )\\\)
= P(z > - 2.7)
Learn more about Standard deviation at:
https://brainly.com/question/23907081
#SPJ4
What is 0.88 as a fraction in lowest terms?
88/1000
88/100
44/50
22/25
Answer:
22/25
Step-by-step explanation:
it is 22/25 because 88/100 ÷2 = 44/50
and 44/50÷2= 22/25
each quiz in a course contains 15 questions. how many different ways could the questions on a given quiz be ordered?
The no. of ways could those question be ordered is 1307674368000 ways A combination is what?
When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.
The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.
Given
that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways = 1307674368000 ways The number of possible ways for those questions is 1307674368000.
Learn more about combinations :
brainly.com/question/20693059
#SPJ4
It costs $31 for 3 visitors to take a tour. It costs $80 for 10 visitors to take the same tour. What is the rate of change?
The rate of change is $2.33 per visitor
What is rate of change?Rate of change refers to how quickly something changes over time. For example, acceleration is the rate of change of velocity with time.
Velocity is also the rate of change in position with time.
Rate of change means difference or changes with time.
It cost $31 for 3 visitor. This means that the cost per visitor is $31/3 = $10.33
It cost $80 for 10 visitor. This means that the cost for one visitor is 80/10 = $8
The rate of change is the difference in rate. This means that rate of change = $10.33 - $8
= $2.33/visitor
Therefore the rate of change is $ 2.33 per visitor.
learn more about rate of change from
https://brainly.com/question/29633130
#SPJ1
IF YOUR GOOD AT MATH THEM PLEASE ANSWER THIS !
Which expression represents the perimeter of this rectangle?
Finding Area | Wyzant Resources
A: x4+10
B: 2x+5
C: 4x+5
4: 4x+10
x+5+x+x+5=4x+10
Answer:
4x+10
Step-by-step explanation:
x+5+x+x+5=4x+10
question in the photo
Answer:
the exponent of x is 4
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
__
\(\dfrac{6xy^{-2}}{x^{-3}}=\dfrac{6x^{1-(-3)}}{y^2}=\dfrac{6x^4}{y^2}\)
What is the equation of the parabola that intersects the x-axis at points (-8,0) and (8,0)?
a. x^2+64
b. x^2-64
c. x^2-16x+64
d. x^2-16x-64
Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?
Answer:
points
Step-by-step explanation:
T/F If the equilibrium wage in the market for unskilled labor is $8.00 per hour, and the government sets a minimum wage at $7.50 per hour, unskilled workers will receive a pay cut of about 50 cents per hour.
The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.
The wage rate remains unchanged, and the labor market remains in balance.
The statement is false.
False.
The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.
The government then sets a minimum wage at $7.50 per hour.
Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).
In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.
The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.
For similar questions on Wages
https://brainly.com/question/29251394
#SPJ11
the diagram shows a square with perimeter 20cm
work out the percentage of the area shaded inside the square that is shaded
Answer:
70%
Step-by-step explanation:
Finding each side :-
4a = 20ma = 5 mFinding area of unshaded region :-
A = 1/2 * b * h A = 1/2 * 1.5 * 5 cm² A = 2.5 * 1.5 cm²A = 3.75 cm² Total unshaded region = 2*3.75 = 7.5 cm²Overall area :-
A = a²A = (5cm)²A = 25m²Finding percentage :-
% = 25 - 7.5 / 25 * 100 % = 17.5 * 4 % = 70Answer:70%
Step-by-step explanation:
A 99% confidence interval for a population mean based on a sample of size 64 is computed to be (16.3, 18.7). How large a sample is needed so that a 90% confidence interval will specify the mean to within ±0.5?
A sample size of 1024 is needed so that a 90% confidence interval will specify the mean to within ±0.5.
The margin of error for a confidence interval is calculated using the following formula:
ME = z * SE
where:
ME is the margin of error
z is the z-score for the desired confidence level
SE is the standard error of the mean
In this case, we want the margin of error to be 0.5, and the confidence level is 90%. The z-score for a 90% confidence interval is 1.645. The standard error of the mean is calculated using the following formula:
SE = σ / √n
where:
σ is the population standard deviation
n is the sample size
We are not given the population standard deviation, so we will assume it is known and equal to 1. This is a conservative assumption, as it will result in a larger sample size being required.
Plugging in the values for ME, z, and σ, we get the following equation for n:
0.5 = 1.645 * 1 / √n
Solving for n, we get the following:
n = (1.645 * 1)^2 / 0.5^2 = 1024
Therefore, a sample size of 1024 is needed so that a 90% confidence interval will specify the mean to within ±0.5.
Learn more about margin of error here:
brainly.com/question/31764430
#SPJ11
Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Answer: Francisco is correct
Step-by-step explanation:
Positive 4 and positive 7
Negative 3 and negative 2
4 * 7 = 28
-3 * -2 = 6
What’s the preimeter to this?
decimal form
119.571428571
fraction form
119571428571/1000000000
Have a nice day
hope this attachment relates to you
Cookie the dog is getting ready to go on a trip to Mexico. In Texas, she weighs 35 pounds. If someone were to weigh her in Mexico, how many kilograms would she weigh? There are approximately 0.45 kilograms in 1 pound.
I need help
Answer: 15.876kg
Step-by-step explanation:
In the circle, NA= PA, MO perpendicular to NA, RO perpendicular to PA and MO = 10 ft.
What is PO?
100 ft.
5 ft.
20 ft.
10 ft.
The radius of the circle = RO=MO (since NA=PA). Therefore PO=1/2 MO=1/2*10=5 ft
Given that,NA = PA and MO ⊥ NA, RO ⊥ PA and MO = 10 ft. 5 ft. 10 ft.Since MO ⊥ NA and RO ⊥ PA,
Therefore MO and RO are the heights of ∆NMA and ∆PRA respectively.And, NA = PA => ∆NMA ≅ ∆PRA
Therefore, AM = AR ...(1)Also, from the question,
MO = 10 ft.
=> Area of ∆NMA = (1/2) * NA * MO = (1/2) * NA * 10 ft. = 5NA ...(2)Similarly, RO = 10 ft.
=> Area of ∆PRA = (1/2) * PA * RO = (1/2) * PA * 10 ft. = 5PA ...(3)Now, from (1), AM = ARAnd, from (2) and (3), 5NA = 5PA
=> NA = PAAnd, AM = AR => 2AM = NA + PA = 2NA => AM = NA = 10 ft.
OA = ON + NA = 10 + 10 = 20 ft. Hence, the answer is 5fts
To learn more about : radius
https://brainly.com/question/24375372
#SPJ8
The value of y varies directly with x and y= 18 when x = 12. Find y when x = 60
Answer: 90
plz give me brainliest even though im not lol
Step-by-step explanation:
enter the expression −2c⃗ 6d⃗ in the answer box using the notation just described. express your answer in terms of c⃗ and d⃗ . use the vector button under the templates menu in the answer box to create vectors.
The expression \(-2\vec C+6\vec D\) in the ordered pair notation is (16,-16).
The vector components of a vector are represented as the ordered pair of its x and y components.
For example, if a vector has x - component 'a' and y- component 'b' , then the ordered pair notation for the vector is (a, b), where the vector is \(a \vec i+b \vec j\).
Now the vector C has its x- component = -2
y- component of C = -1
Therefore, ordered pair notation of C = (-2, -1)
x- component of D = 2
y-component of D = -3
Therefore, ordered pair notation of D = (2,-3)
So the expression \(-2\vec C+6\vec D\) = -2 (-2,-1) +6 (2,-3) = (4,2) + (12, -18)
= (16, -16) in the ordered pair notation.
That is, the vector \(\bold {-2\vec C+6\vec D}\) is a vector with x-component 16 and y-component -16.
Learn more about vectors at https://brainly.com/question/3184914
#SPJ4
I'LL GIVE BRAINLIEST !!! FASTER
please explain how do you get the answer
Answer:
84°
Step-by-step explanation:
angles in a quadrilateral add to 360°. 360-(114+76)=5x =170°. 170°/5 = 32°. x=32°
angles on a straight line add to 180°.
2x = 64°. 180-64=116°. y=116°.
y-x = 116-32 = 84°
Answer:
\(78\)
Step-by-step explanation:
The inner angles of a quadrilateral all add up to 360. This means we can write the following
\(114 + 76 + 3x + 2x = 360\\190 + 5x = 360\\5x = 170\\x = 34\)
Now that we have x we can find y. Notice that y and 2x are on the same line. Any line cutting another straight line will create two angles that add up to 180.
Therefore we can write
\(2x + y = 180\\2(34) + y = 180\\y = 112\)
Finally computing y - x
\(y - x = 112 - 34 = 78\)
What is the area
4.6 ft
8.4 ft
Answer: 38.64
Step-by-step explanation:
Area is where you multiply length times width to get the amount of square units in a 2-D region. You multiply 4.6 feet, times 8.4 feet, and get 38.64 feet. Try it yourself!
Hoped this helped!
-Kala
regression analysis involving one dependent variable and more than one independent variable is known as
Multiple Regression is the regression analysis involving one dependent variable and more than one independent variable.
A regression is a technique that relates a dependent variable [response] to one or more independent (explanatory) variables.
The linear regression equation is in the form, y = mx + b ., where X is an Independent variable and Y is a Dependent variable.
Multiple regression is a technique that can be used to analyze the relationship between a single dependent variable and several independent variables.
The objective of multiple regression analysis is to use the independent variables whose values are known to predict the value of the single dependent value.
Y = a + b₁X₁+ b₂X₂ + .........+ bₙXₙ
Hence, Multiple Regression analysis involving one dependent variable and more than one independent variable.
To know more about Regression analysis refer -
https://brainly.com/question/25987747
#SPJ4
A woman puts a fixed deposit of $20 000 in a bank which pays an interest of 5% per Annum, calculated on a yearly basis. Find the compound interest that the woman will receive at the end of 3 years if she does not withdraw any money from the fixed deposit during the period of 3 years.
A woman has invested $20 000 as a fixed deposit in a bank for 3 years. The interest rate is 5% per annum, calculated on a yearly basis. The woman needs to find the compound interest received for the period of 3 years.
Principal (P) = $20 000, Rate of Interest (R) = 5%, Time period (t) = 3 years, and compound interest.
We know that the compound interest is calculated as: Compound Interest (CI) = P [(1 + R/100) t - 1]
Using the given values, we have: CI = $20 000 [(1 + 5/100)3 - 1]CI = $20 000 [(1.05)3 - 1]CI = $20 000 [1.157625 - 1]CI = $20 000 [0.157625]CI = $3,152.5
Therefore, the woman will receive a compound interest of $3,152.5 at the end of 3 years if she does not withdraw any money from the fixed deposit during the period of 3 years.
For more such questions on interest rate, click on:
https://brainly.com/question/29451175
#SPJ8
The perimeter of the rectangle is 42 inches. Find the value of x.
Answer:
x=3
Step-by-step explanation:
(5x*2)+ ((x-3)2)=42
10x+2x-6=42
12x-6=42
-6 -6
12x=36
x=3
Answer:
x=3
Step-by-step explanation:
(5x*2)+ ((x-3)2)=42
10x+2x-6=42
12x-6=42
-6 -6
12x=36
x=3
Write the ratio of 24 cats to 16 dogs in simplest form in 3 ways explain or show your work
Answer:
3:2
3 to 2
3/2
Step-by-step explanation:
24/16 reduces to 3/2.
Answer:
3/2 5/3 12/8
Step-by-step explanation:
Can someone help me with this please, it is late and my mind is just gone :)
Answer:
\(w=-1/5\text{ or } 3\)
Step-by-step explanation:
We have the equation:
\(-2|5w-7|+9=-7\)
Let's first isolate the absolute value. Subtract 9 from both sides:
\(-2|5w-7|=-16\)
Divide both sides by -2:
\(|5w-7|=8\)
Now, we can split them into two cases. By the definition of absolute value:
\(5w-7=8\text{ or } -(5w-7)=8\)
Let's do each case individually.
Case 1:
We have:
\(5w-7=8\)
Add 7 to both sides:
\(5w=15\)
Divide both sides by 5:
\(w=3\)
Case 2:
We have:
\(-(5w-7)=8\)
Divide both sides by -1:
\(5w-7=-8\)
Add 7 to both sides:
\(5w=-1\)
Divide both sides by 5:
\(w=-1/5\)
So, our answers are:
\(w=-1/5\text{ or } 3\)
And we're done!
10 points! what is the axis of symmetry of y = 1/3x+6
The axis of symmetry of the equation y = 1/3x+6 is the vertical line x = -2. This is because the equation can be rewritten as y = -2/3(x+2) + 6.
What is vertical ?Vertical is a term used to describe something that is perpendicular or upright. It is often used to refer to the orientation of a line or object, such as a wall, or the arrangement of elements in a page or chart. It is the opposite of horizontal. In geometry, a vertical line is one that goes straight up and down, parallel to the y-axis of the coordinate plane. Vertical also refers to direction, as in the vertical distance between two points.
the coefficient of the x term, -2/3, is the negative reciprocal of the coefficient of the x2 term. Therefore, the x-coordinate of the vertex is -2, which is the axis of symmetry.
To learn more about vertical
https://brainly.com/question/28653879
#SPJ1
Paul's time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for viking was 5 hours longer than her swimming time. She ran for 4 hours 50 minutes. Assuming she took no breaks in between each event, how long did it take her to complete all three parts of the race?1 hour =60 minutes
It took Paul a total of 12 hours and 40 minutes to complete all three parts of the Ironman triathlon.
Paul’s time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for biking was 5 hours longer than her swimming time, so her biking time was (1 hour + 5 hours) = 6 hours 25 minutes. She ran for 4 hours 50 minutes. The total time it took her to complete all three parts of the race is (1 hour 25 minutes) + (6 hours 25 minutes) + (4 hours 50 minutes) = 12 hours 40 minutes.
Learn more about addition here: brainly.com/question/29464370
#SPJ4