Answers
Since there are no patterns for the rate of change of the function, it is quadratic.
What is the average rate of change of a function?The average rate of change of a function is given by the change in the output of the function divided by the change in the input.
When this rate is constant, the function is said to be linear, while if the rate increases in a proportional way, the function is exponential.
In this problem, no patterns of linearity or of exponentiality can be established, hence the function is quadratic.
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Related Questions
use the quadratic formula to solve the equation : 10x2 +11x=1
Answers
Answer:The answers are 0.084 or -1.184
Step-by-step explanation:
The solution is in the attached file
An amount of money 960gh was contributed by 80 students. If 714gh was contributed equally by 68 girls and the remaining amount was also contributed equally by boys. How much did each
i. Girl contribute
ii. Boy contribute
Answers
Each girl contributed 10.50gh
Each boy contributed 20.50gh
These are further explained and computed below:
The measure of central tendency being tested here is the mean, in other words, the resulting average when the total amount contributed by girls or boys is divided by the number of girls or boys.
The fact that 68 of the 80 students are girls means that the remaining 12 students are boys because 80 minus 68 gives 12.
each girl's contribution=total girls' contribution/number of girls
each girl's contribution=714/68
each girl's contribution=10.50gh
Total boys' contribution=total contribution-total girls' contribution
Total boys' contribution=960-714
Total boys' contribution=246
each boy's contribution=Total boys' contribution/number of boys
each boy's contribution=246/12
each boy's contribution=20.50gh
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Each girl contributed 10.5gh and each boy contributed 20.5gh
How to determine the amount contributed?The given parameters are:
Total amount = 960gh
Number of students = 80
Amount contributed by girls = 714gh
Number of girls = 68
The amount contributed by each girl is:
Girl = Amount contributed by girls/Number of girls
This gives
Girl = 714gh/68
Evaluate
Girl = 10.5gh
The amount contributed by each boy is:
Boy = (Total - Amount contributed by girls)/(Total students - Number of girls)
This gives
Boy = (960gh - 714gh)/(80 -68)
Boy = 246gh/12
Evaluate
Boy = 20.5gh
Hence, each girl contributed 10.5gh and each boy contributed 20.5gh
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Annoying me I’ve been at this for hours
Answers
3x2.25x8 and divide that by 3 gives u 18
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a variance of 25. If the claim is true, in a sample of 50 wall clocks, what is the probability that the mean clock life would differ from the population mean by greater than 1.5 years
Answers
The probability that the mean clock life would differ from the population mean by greater than 12.5 years is 98.30%.
Given mean of 14 years, variance of 25 and sample size is 50.
We have to calculate the probability that the mean clock life would differ from the population mean by greater than 1.5 years.
μ=14,
σ=[tex]\sqrt{25}[/tex]=5
n=50
s orσ =5/[tex]\sqrt{50}[/tex]=0.7071.
This is 1 subtracted by the p value of z when X=12.5.
So,
z=X-μ/σ
=12.5-14/0.7071
=-2.12
P value=0.0170
1-0.0170=0.9830
=98.30%
Hence the probability that the mean clock life would differ from the population mean by greater than 1.5 years is 98.30%.
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There is a mistake in question and correct question is as under:
What is the probability that the mean clock life would differ from the population mean by greater than 12.5 years?
need rn!
If a point C is inside AVB, then mAVC + mCVB = ______.
Answers
Answer:
Hi sorry if the reply is late! The answer is
OPTION (B)m∠AVC+m∠CVB=m∠AVB
Step-by-step explanation:
Given: It is given that a point C is inside ∠AVB and ∠AVC=39° and ∠CVB=23°.
From the figure, we can see that C is inside ∠AVB, therefore ∠AVB is divided into two parts that is ∠AVC and ∠CVB, thus
m∠AVC+m∠CVB=c
⇒39°+23°=62°
See photo, it’s got to do with Pythagoras theorem but I don’t understand. Please help
Answers
Answer:
x = 12.0 cm
Step-by-step explanation:
If we draw a line parallel to the 12 cm line right below the line x, a right-angled triangle is formed, with x as the hypotenuse and the shortest side equal to (8 - 7 = ) 1 cm.
∴ x² = 12² + 1²
⇒ x = [tex]\sqrt{12^2 + 1^2}[/tex]
⇒ x = [tex]\sqrt{144 + 1}[/tex]
⇒ x = [tex]\sqrt{145}[/tex]
⇒ x = 12.0 cm [3 s.f.]
Answer:
12.0 cm
Step-by-step explanation:
See attached image for steps. Take the figure and convert it into a rectangle and right triangle by drawing a single line. The Pythagorean Theorem can then be used.
Solve a) with Substitution and b) with Elimination (check attached picture)
Answers
a) Solve the first equation for [tex]x[/tex].
[tex]x + 3y = 7 \impiles x = 7 - 3y[/tex]
Substitute this into the second equation and solve for [tex]y[/tex].
[tex]2x + 4y = 12 \implies 2(7 - 3y) + 4y = 12 \\\\ \implies 14 - 6y + 4y = 12 \\\\ \implies -2y = -2 \\\\ \implies \boxed{y=1}[/tex]
Solve for [tex]x[/tex].
[tex]x = 7 - 3y \implies x = 7-3\times1 \\\\ \implies \boxed{x = 4}[/tex]
b) Eliminate [tex]y[/tex] by combining the two equations in appropriate parts, namely
[tex]2 (2x - y) + (3x + 2y) = 2\times3 + (-3)[/tex]
and solve for [tex]x[/tex].
[tex]2 (2x - y) + (3x + 2y) = 2\times3 + (-3) \implies 4x - 2y + 3x + 2y = 6 - 3 \\\\ \implies 7x = 3 \\\\ \implies \boxed{x = \dfrac37}[/tex]
Solve for [tex]y[/tex].
[tex]2x - y = 3 \implies 2\times\dfrac37 - y = 3 \\\\ \implies \dfrac67 - y = 3 \\\\ \implies -y = \dfrac{15}7 \\\\ \implies \boxed{y = -\dfrac{15}7}[/tex]
Which represents the inverse of the function f(x) = 4x?
• h(x) = x + 4
O h(x) = x-4
O h(x) = =x
h(x) = Lx
Answers
Step-by-step explanation:
[tex]f(x) = 4x[/tex]
[tex] \: [/tex]
[tex]y = 4x[/tex]
[tex]4y = x[/tex]
[tex]y = \frac{x}{4} [/tex]
[tex] {f}^{ - 1} (x) = \frac{ x}{4} [/tex]
[tex]h(x) = \frac{x}{4} [/tex]
The answer is D.
Part 2 - Find the error(s) and solve the problem correctly.
Answers
The error is present in second step when cancelling numerator and denominator and the solution of the expression [tex](1+1/x)/(1-1/x^{2} )[/tex] is [tex]x/x-1[/tex].
Given Expression [tex](1+1/x)/(1-1/x^{2} )[/tex] and incorrect solution. and we need to identify the error and solve the expression correctly.
The expression is [tex](1+1/x)/(1-1/x^{2} )[/tex]
In the solution given the second step of cancelling 1's in numerator and denominator is wrong.
The solution which is correct is as under:
[tex](1+1/x)/(1-1/x^{2} )[/tex]
firstly take LCM in numerator and denominator
=[tex](x+1)/x/(x^{2} -1)/x^{2}[/tex]
Now we can write the expression properly.
=[tex](x+1)*x^{2} /(x^{2} -1)*x[/tex]
Power of [tex]x^{2}[/tex] to be deducted from x
=[tex](x+1)*x/(x^{2} -1)[/tex]
Now [tex]x^{2} -1[/tex] can be written as (x+1)(x-1)
=[tex](x+1)*x/(x+1)(x-1)[/tex]
(x+1) will be deducted now from numerator and denominator.
=x/(x-1)
Hence the solution of the given expression is x/(x-1).
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The answer to this question is x/x₋1
Given the expression is 1₊1/x /1₋1/x²
Take the LCM of the denominators
we get, x₊1/x / x²₋1/x²
Now multiply the expression
=x₊1/x × x²/x²₋1
=(x₊1) x²/ x(x²₋1)
(x²₋1) is in the form of (a²₋b²)=(a₊b)(a₋b)
Therefore, (x₊1)x²/x(x₋1)(x₊1)
After cancelling like terms we get the answer as:
x/(x₋1)
Hence we get the simplification answer as x/(x₋1).
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How do i solve f(x)=log3(x-2)-2
Answers
To have solution for f(x)=log3(x-2)-2. x must be x >2 or x ( 2, ∞) .
f(x)=log3(x-2)-2
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
Since,
f(x)=log3(x-2)-2
The above function will goes to infinity when we put x = 2.
So the given function has solution for x > 2.
Thus, the To have solution for f(x)=log3(x-2)-2. x must be x >2 or x ( 2, ∞) .
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Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(5,5)
B(7,5)
C(7,-1)
D(5,−1)
Given these coordinates, what is the length of side of BC Rectangle?
Answers
Answer:
6 units
Step-by-step explanation:
5--1=6
Reffect shape A in the line y=-x
th
6
2
A
--5-32-10 12345
2 6
M
Answers
The rule for the reflection of shape A over the line y = -x is (x, y) ⇒ (-y, -x)
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure.
The rule for the reflection of shape A over the line y = -x is (x, y) ⇒ (-y, -x)
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Part B
Question
Use an online graphing tool to find the equation that best models the data in the table.
Enter the correct equation in standard form. Round parameters to the nearest tenth.
Answers
Answer:
y=17.2x²-226.3x+2184.5
Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
Answers
A geometric sequence goes from one term to the next by always multiplying or dividing by the constant value except 0. The constant number multiplied (or divided) at each stage of a geometric sequence is called the common ratio (r).
A geometric series is the sum of an infinite number of terms of a geometric sequence.
A geometric series is convergers if |r| < 1.
A geometric series is diveres if |r| > 1.
Calculate the common ratio:
[tex]r=\dfrac{18}{27}=\dfrac{18:9}{27:9}=\dfrac{2}{3}\\\\r=\dfrac{12}{18}=\dfrac{12:6}{18:6}=\dfrac{2}{3}\\\\r=\dfrac{8}{12}=\dfrac{8:24}{12:4}=\dfrac{2}{3}[/tex]
[tex]\left|\dfrac{2}{3}\right| < 1[/tex]
The geometric series is converges.Therefore exist the sum.
Formula of a sum of a geometric series:
[tex]S=\dfrac{a_1}{1-r},\qquad|r| < 1[/tex]
Substitute:
[tex]a_1=27,\ r=\dfrac{2}{3}[/tex]
[tex]S=\dfrac{27}{1-\frac{2}{3}}=\dfrac{27}{\frac{1}{3}}=27\cdot\dfrac{3}{1}=81[/tex]
[tex]\huge\boxed{S=81}[/tex]
Drag each expression or value to the correct box. Not all tiles will be used.
Luke started a weight-loss program. The first week, he lost x pounds. The second week, he lost pounds less than times the pounds he lost the first week. The third week, he lost 1 pound more than of the pounds he lost the first week.
Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than times the pounds Luke lost the first week. The second week, he lost 4 pounds less than times the pounds Luke lost the first week. The third week, he lost pound more than times the pounds Luke lost the first week.
Assuming they both lost the same number of pounds over the three weeks, complete the following sentences. Luke started a weight-loss program. The first week, he lost x pounds. The second week, he lost 3/2 pounds less than 3/2 times the pounds he lost the first week. The third week, he lost 1 pound more than 3/4 of the pounds he lost the first week.
Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than 3/2 times the pounds Luke lost the first week. The second week, he lost 4 pounds less than 5/2 times the pounds Luke lost the first week. The third week, he lost 1/2 pound more than 5/4 times the pounds Luke lost the first week.
Assuming they both lost the same number of pounds over the three weeks, complete the following sentences.
Answers
Answer:Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than 3/2 times the pounds Luke lost the first week. The second week, he lost 4 pounds less than 5/2 times the pounds Luke lost the first week. The third week, he lost 1/2 pound more than 5/4 times the pounds Luke lost the first week.Assuming they both lost the same number of pounds over the three weeks, complete the following sentences.Step-by-step explanation:
Which equation are true
A. 3^4)(3^5)=3^9
B.8^6=1\-6
C
Answers
Total area =
Help please thanks
Answers
The total area of the given right trapezoidal prism is gotten as; A = 2592 sq.units
How to find the area of a right trapezoidal prism?The formula to find the Surface Area of a Trapezoidal Prism is;
A = h(b + d) +l(a + b + c + d) unit square.
Where;
h = height
b and d are the lengths of the base
a + b + c + d is the perimeter
l is length
Thus;
A = 12(25 + 15) + 32(13 + 25 + 13 + 15)
A = 480 + 2112
A = 2592 units square
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Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(−7,−5)
B(−7,6)
C(−4,6)
D(−4,−5)
Given these coordinates, what is the length of side CD of this rectangle?
Answers
[tex]\huge\boxed{11\ \text{units}}[/tex]
To solve this, we need to find the distance between points C and D.
The distance formula is:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the values from points [tex]C(x_1, y_1)[/tex] and [tex]D(x_2, y_2)[/tex].
[tex]\sqrt{(-4-(-4))^2+(-5-6)^2}[/tex]
Subtract.
[tex]\sqrt{0^2+(-11)^2}[/tex]
Evaluate the powers.
[tex]\sqrt{0+121}[/tex]
Solve for the final answer.
[tex]\sqrt{121}\\\boxed{11}[/tex]
At a farmers market, Samuel bought 3 pounds of apples for x dollars per pound and 2 bags of spinach for y dollars each. The next day he returned and bought 5 pounds of apples for x dollars per pound and 3 bags of spinach for y dollars each. Which expression represents the total amount he spent at the market on both days? 8x Plus 5y 8y Plus 5x 6y + 7x 6x + 7y
Answers
Answer:
A. 8x+5y
Step-by-step explanation:
First day: 3x+2y
Second day: 5x+3y
Add both expressions together.
(3x+2y)+(5x+3y) =
= 3x+2y+5x+3y=8x+5y
Hope this helps!
If not, I am sorry.
What is the inverse of f(x)= 1/3x + 2?
Answers
Answer:
y^-1 = 3x - 6
Step-by-step explanation:
f(x) = 1/3x + 2
The inverse function is where we swap out y for x and x for y. f(x) represents y, so we will be replacing it with x. Then, we solve and get a new equation for the inverse of y.
x = 1/3y + 2 (subtract 2 from both sides)
x - 2 = 1/3y (multiply by 3 on both sides)
y^-1 = 3x - 6
Brainliest, please :)
Answer:
f(x) = 3x- 2
Step-by-step explanation:
The easiest way to find the inverse of a function is to replace y with x and rearrange the equation.
x = 1/3y + 2
-2 -2
______________
x-2 * 3 = 1/3y * 3
y = 3x-2
Section 6.1 Add and Subtract Polynomials
Add and Subtract Monomials
In the following exercises, add or subtract the monomials.
594. 12q − (−6q)
Answers
Answer:
The simplified form of [tex]12 q-(-6 q) \text { is } 18 q[/tex].
Step-by-step explanation:
[tex]- Given: $12 q-(-6 q)$\\ - Simplify.\\ - The simplified form of $12 q-(-6 q)=(12+6) q$ i.e., $18 q$.[/tex]
The Eiffel Tower in Paris, France is 1063 feet tall. If you took an elevator 3/4 the way up the tower, how far from the ground would you be in feet?
Answers
Answer: 797 feet 3 inches
Step-by-step explanation:
[tex]\frac{3}{4} *1063=\frac{3189}{4} =797.25[/tex]
Write each square number as a product of its prime factors.
a)9
b)36
c)81
d)144
e)225
f)576
g)625
h)2401
Answers
Answer:
the answer is provided down below
Step-by-step explanation:
steps
9 - ( 1 3 x 3 x3)
36 - (3 x 2 x2x3)
81 -( 3 x 3 x 3 x 3)
144 - ( 2 x 3 x 3 x 2 x 2 x 2 x 2)
225 - ( 5 x 5 x 3 x 3)
576 -( 2 x 2 x 2 x 2 x 2 x 2 x 3 x3)
625 - ( 5 x 5 x 5 x5 )
2401 - ( 7 x 7 x 7 x 7)
HELP HELP HELP
Quick algebra 1 question for 15 points!
Explain the difference between slope-intercept form and point-slope form.
Answers
Answer:
slope intercept is used when you are given a point (most likely a y intercept) on the graph and a slope. The point slope is a larger formula that is used when you are given a slope and the coordinates of a point.
Step-by-step explanation:
slope intercept : y=mx+b
point slope : y-y1= m(x-x1)
What is the rate of change of the linear function represented by the table? StartFraction one Over three EndFraction StartFraction one Over two EndFraction 2 3
Answers
The rate of change of the linear function represented by the table is 3
Rate of change of a functionThe rate of change of a function is also known as the slope of a function. The equation for calculating the slope is expressed as:
Slope = y2-y1/x2-x1
using the coordinates from the table (-2, -13) and (-1, -10)
Substitute
Slope = -10-(-13)/-1-(-2)
Slope = -10+13/-1+2
Slope =3
Hence the rate of change of the linear function represented by the table is 3
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Price of an article is 400 and sold with discount including 13% vat at 339 find discount rate
Answers
To remove 13% vat divide by 1.13
339 / 1.13 = 300 the discounted price.
The amount of discount = 400 - 300 = 100
Discount rate = 100 / 400 = 1/4 = 25%
Let f(x)=1/x+x, where is a nonzero number.what is the product of all the values of a, such that f(a)=f(2a)?
Answers
The product of all the values of a, such that f(a)=f(2a) is -1/2
Functions and expressionsGiven the function below;
f(x)=1/x + x
f(a) = 1/a + a
f(2a) = 1/2a + 2a
If f(a) = f(2a), hence;
1/a + a = 1/2a + 2a
Collect the like terms
1/a - 1/2a = 2a - a
2-1/2a = a
1/2a = a
Cross multiply
2a² = 1
a² = 1/2
a = ±√1/2
The values of a are √1/2 and -√1/2
Product = -√1/2 * √1/2
Product = -1/2
Hence the product of all the values of a, such that f(a)=f(2a) is -1/2
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If (x+ 1) is a factor of the polynomial x³ + px² + x + 6 = 0. Find p.
Answers
Answer:
p=4
Step-by-step explanation:
plug x=-1 into the polynomial with the unknown
(-1)³+p(-1)+(-1)+6=0
-1-p-1+6=0
-p+4=0
p=4
The owner of a farm plants apple trees and mango trees in a ratio of 16:6. How many oak trees are planted if 198 mango trees are planted?
Answers
Answer:528 apple trees
Step-by-step explanation:Listen 198/6=33 so then just multiply 33x16 that equals 528 hope this helps
Find x A. 212√2 B. 212–√ C. 213√2 D. 7
Answers
The value of x in the triangle is (d) 7
How to solve for x?The complete question is in the attached image.
From the attached image of the triangle, we can see that the triangle is a right triangle, and x can be solved using the following sine function
[tex]\sin(45) = \frac{x}{7\sqrt 2}[/tex]
Evaluate sin(45)
[tex]\frac 1{\sqrt 2} = \frac{x}{7\sqrt 2}[/tex]
Solve for x
[tex]x = \frac{7\sqrt 2}{\sqrt 2}[/tex]
Divide
x = 7
Hence, the value of x in the triangle is (d) 7
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