I need some help since I don't comprehend what you're asking.
1. A(x) = (f(x)-f(a)) / (x-a) This average rate of change function is called A. The function f's input is represented by x minus a, while the function f's response to the input changing from a to x is represented by f(x) minus f(a).
f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 from the table.
Over the range of x = 5 to x = 9, the average rate of change is 4.
2. g(x)=2x2+13x+1, f(x)=4x2+6x
(f/g)(x)=(4x²+6x)/(2x²+13x+1)
Using the numbers shown in the table, x = 4,5,6,7,8,9 and f(x) = 88,85,155,116,180,151,238.190,304,233,378.280
3. f(x)=x2-6x+8, g(x)=x-2, x2-6x-x+8+2=0, x2-7x+10=0 f(x)=g(x)x2-6x+8=x-2x2-6x-x+8+2=0
x₁,₂=(7⁺₋√(7²-4*10))/2=(7⁺₋3)/2 x₁=5, x₂=2
Because 2 doesn't appear in the table of values, the answer using the table of values is x=5.
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Polygon L is a scaled copy of Polygon K
What is the value of J ?
The value of j in the scaled copy in the polygon is: 0.03.
How to Find the Sides of a Scaled Copy?When a figure is scaled, the corresponding dimensions of the new and original figures have a ratio that is the same because they are proportional to each other.
Polygon K and polygon L are similar polygons and therefore their corresponding side lengths are proportional. The ratio below would be created:
j/0.5 = 0.18/3
Cross multiply
j = (0.5 × 0.18)/3
j = 0.09/3
j = 0.03
Therefore, the value of j in the scaled copy in the polygon is: 0.03.
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A.)6.5 ft²
B.)13 ft2
C.)78 ft²
D.)156 ft2
The given triangle is 6.5 ft2.
Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle. Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.
The given triangle can be redraw as
Area of the rectangle is (39/2) × 48 (in)2 = 936 in2
1 ft = 12in
1/12 ft = 1in
(in)2 = (1/12)2 (ft)2
= 1/144 (ft)2
936 (in)2 = 936 × 1/144 (ft)2
=6.5 (ft)2
Hence, the given triangle is 6.5 ft2.
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What is the reciprocal of 5/29
Answer:
[tex]\frac{29}{5}[/tex] or [tex]5\frac{4}{5}[/tex]
Step-by-step explanation:
Keep in mind that a reciprocal is a fraction flipped. For example, if we have 3/10, the reciprocal would be 10/3.
Since [tex]\frac{29}{5}[/tex] is an improper fraction, we have to simplify it to a mixed number.
Was $15.60 now is $34.80 Percent increase or percent decrease
A dangling modifier
defines a noun or verb somewhere in a sentence
does not clearly describe a word or phrase in a sentence
enhances a target word or phrase in a sentence
is a phrase loosely attached to the end of a sentence
Answer:
does not clearly describe a word or phrase in a sentence
Step-by-step explanation:
Not sure that this is math but...
Answer:
The answer is B
Step-by-step explanation:
B) does not clearly describe a word or phrase in a sentence
A white tailed deer can sprint up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile.
Answer:
The American bison is 10 miles per hour faster. It can run at 40 miles per hour.
Step-by-step explanation:
See the picture for the conversion. I used unit multiplies to change feet to miles and seconds to minutes.
Error Analysis ( PLS I NEED THIS ANSWERD TODAY! :(
Mr.Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some bracelets that cost $4.50 each, including tax. Write an equation to determine x, the maximum number of bracelets Mr.Gonzales could buy. Solve the equation to determine the number of bracelets Mr.Gonzales could buy.
Show your work.
42.50 - 29= 13.5
13.5÷4.50=3
Answer: 3
Solve the problem correctly.
Explain, in complete sentences, the error(s) made. In your explanation, make sure to include how you can fix there error(s), how you could have checked that the answer was incorrect, and diagram/drawing yo explain your thinking.
The maximum number of bracelets Mr.Gonzales could buy is 3
How to write an equation to determine x, the maximum number of bracelets Mr.Gonzales could buyThe given parameters are:
Budget = $42.50
Shirt = $29
Bracelet = $4.50 each
Represent the number of bracelets with x
So, we have
Shirt + Bracelet * x = Budget
This gives
29 + 4.50x = 42.50
Evaluate the like terms
4.50x = 13.5
Divide both sides b 4.50
x = 3
Hence, the maximum number of bracelets Mr.Gonzales could buy is 3
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a candy bar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters. a triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. part a: what is the height of the base? show your work.
Height of the base = 10cm
The definition of triangular volume?
The formula Area = Half of Base by Altitude is used to determine the area of a triangle. A = 0.5 X b X a . The formula for determining a triangular prism's volume is V = 0.5 X b X an X h.Given a candy box is in the shape of triangular prism
Volume of the box = 1200 cm³
Base of the triangle = 10cm
Side of the triangle = 13cm
Length of the box = 20 cm
Let the height of the base = h cm
Volume of the triangular prism = 1/2×(Base of triangle)×(Height of triangle)×(length of prism)
1200 = (1/2)×10×h×20
1200 = 100h
h = 1200/100
h = 12 cm
So, height of the triangle = 10cm
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. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z
Enter your answer in the box. 42 BRAINLESS
Answer:
4
Step-by-step explanation:
replace x , y and z with the values given for them
12x - 3y + 4x - z
12(3) - 3(13) + (4)(3) - 5
36 - 39 + 12 - 5 = 4
Answer:it is 5
Step-by-step explanation:
i got it on the k12 test
please help !! lots of points (35)
Answer: A= 2, B= −2, C= −2
Step-by-step explanation:
A = −1^2 −3 (−1) −2
= 1 + 3 -2 = 2
A = 2
B = 0^2 −3 (0) −2
= 0 − 0 − 2 = −2
B = −2
C = 3^2 −3 (3) −2
= 9 − 9 − 2
C = −2
Answer:
A = 2
B = -2
C = 16
Step-by-step explanation:
Plug in the numbers into the equation.
y = x^2 - 3x - 2
y = -1(-1) - 3 (-1) - 2
y = 1 + 3 - 2
y =2
y = 0^2 - 3(0) - 2
y = 0 - 0 - 2
y = -2
y = 3^2 - 3(3) - 2
y = 9 - 9 - 2
y = -2
Identify the coefficients and constants in the following
expressions: 3 + 7x
Answer:
Answer
Step-by-step explanation:
3 is the constant since there is no variable beside it, and 7 is the coefficient because there is a variable beside it.
On a hot summer day, Lisa and her friends decided to have a water fight. They threw water balloons for 52 minutes. When all the water balloons were gone, they sprayed water with hoses for 29 minutes. The water fight ended at 2:48 P.M. when Lisa's dad showed up with ice cream. What time did the water fight start?
Answer:
1:27pm
Step-by-step explanation:
52 + 8 = 1 hour
29 - 8 = 21
1 hour and 21 minutes
2:48 - 1:21
1:27pm
If a company has $340,000 worth of sales and $230,000 of costs, correct to 2 two significant figures, calculate the maximum and minimum relative profit to the appropriate accuracy.
Hence , the maximum and minimum relative profit to the appropriate accuracy are 0.33 and 0.31 respectively .
Upper and lower bounds square measure the most and minimum values that variety may are before it had been rounded. they will even be referred to as limits of accuracy.The higher and lower bounds is written victimization error intervalsIt is given that p=(s-c)/s......(1) and sales = $340,000 and cost = $230,000
Putting s = $340,000 , c = $230,000
p = 340,000 - 230,000 / 340,000
p = 110000 /340,000
p = 0.3235
p = 0.32
The largest variety which will round off to relinquish 0.32 is 0.33 therefore we are saying that 0.33 is that the edge.
The smallest variety which will gather to 0.32 is 0.31 this is often the edge.
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The complete question is given below :
To determine whether a business is making enough profit, the following formula is used p=(s-c)/s where P is relative profit, S is sales and C is costs. If a company has $340 000 worth of sales and $230000 of costs, correct to 2 significant figures, calculate the maximum and minimum relative profit to the appropriate accuracy.
The following rectangle has a length of 6 centimeters and an unknown width. If the
perimeter is 21 centimeters, what is the width of the rectangle? Set up an equation, and solve.
Answer:
The width is 4.5 cm
Step-by-step explanation:
w + w+ 6 + 6 = 21 Combine like terms
2w + 12 = 21 Subtract 12 from both sides
2w = 9 Divide both sides by 2
w = 4.5
1. Suppose a model of the fish is 10 cm and the length of a fish in real life is 140 cm. What is the scale
factor?
It is scale factor at 1/14.
What does scale factor mean?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, by increasing each side by, say, 2, we can expand the size of a rectangle with sides of 2 cm and 4 cm.
The fundamental equation to determine a figure's scale factor is written as, Scale factor is equal to the difference between the dimensions of the new and old shapes.
based on the information provided,
Scale Factor = Fish Model Length / Fish Length in Real Line
scale factor =10/140
=1/14
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Jenna alone takes x days to finish a project kelly alone takes 3 days more than jenna alone to finish the project. if they together take 2 days to finish the project, find the value of x.
The value of x is 3 days.
Here,
Jenna alone takes x days to finish a project.
Kelly alone takes 3 days more than Jenna alone to finish the project.
They together take 2 days to finish the project.
We have to find the value of x.
What is Mathematical expression?
Mathematical expression is a way where calculations and analytical processes should be observed.
Now,
Jenna alone takes x days to finish a project.
Hence, Jenna complete work in 1 day = 1/x work
Kelly alone takes 3 days more than Jenna alone to finish the project.
That is, x + 3 days.
Hence, Kelly complete work in 1 day = [tex]\frac{1}{x+3}[/tex] work
They together take 2 days to finish the project.
Hence, They together complete a work in 1 day = 1/2 work.
To find the value of x we use the formula of work word problem as;
[tex]\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3[/tex]
Since, The value of x = -2 is not possible (because days are not shown in negative sign).
Hence, The value of x is 3 days.
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The function f is defined by the following rule
f(x)=2x-1
Complete the function table
The table can be filled as,
-7
-5
-1
1
9
PLEASE HELP !! 30 POINTS
Answer:
A = 11
B = 8
Step-by-step explanation:
The function is 2[tex]2x^2 + x + 5[/tex]
To determine y=A and y=B simply substitute the value of x corresponding to that y-value
A is at x = -2
At x = -2,
[tex]\mathsf =2\left(-2\right)^2+\left(-2\right)+5[/tex]
= [tex]2\cdot \:4+\left(-2\right)+5[/tex]
[tex]= 8 - 2 + 5[/tex]
[tex]= 11[/tex]
So [tex]\boxed{A = 11}[/tex]
For B, note that x = 1
So y-value for x = 1 is
[tex]y = 2\cdot \:1^2+\:1+5[/tex]
[tex]=2\cdot \:1+1+5[/tex]
[tex]=2+1+5[/tex]
[tex]=8[/tex]
So [tex]\boxed{B=8}[/tex]
Please answer the question in the picture above.
Depreciation for the current year includes equipment $3100. The accumulated depreciation equipment unadjusted balance of December 31 is $6700
The value is 3600
According to question ,
given that, Depreciation for the current year is $ 3100
accumulated depreciation equipment is $ 6700
Unadjusted balance of December
6700 - 3100 = 3600
Depreciation is the process of deducting the total cost of something expensive you bought for your business. But instead of doing it all in one tax year, you write off parts of it over time. When you depreciate assets, you can plan how much money is written off each year, giving you more control over your finances.
Formula: (asset cost – salvage value) / useful life
explain the formula: You divide the cost of an asset, minus its salvage value, over its useful life. That determines how much depreciation you deduct each year.
Accumulated depreciation is the total amount an asset has been depreciated up until a single point. Each period, the depreciation expense recorded in that period is added to the beginning accumulated depreciation balance
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Rubén put an empty cup underneath a leaking faucet after 1 1/2 hours Ruben had collected 1/4 cup of water. What is the rate in cups per hour at which the water is leaking from the faucet
The rate of water leaking from the faucet is 0.167 cups per hour.
What is defined as the flow rate?The volume of fluid which flows through with a given cross-sectional unit of time is defined as flow rate.The volume per time unit offered to the flow of gases or even other fluid substances that emerge from an orifice, pump, turbine, or pass through a conduit or channel is referred to as flow rate.For, the given question;
Divide the amount of water accumulated by the number of hours to find the rate that the water is leaking out from faucet.
Let 'r' be the flow rate.
The formula for flow rate is;
Flow rate = volume / time
r = 0.25 cup / 1.5 hours
r = 0.167 cup/hour
As a result, the rate of water leaking from faucet is roughly equivalent to 0.167 cup/h.
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100 POINTS!! Can someone please help me determine what im doing wrong on 1 and 2..
Answer: 1) m=12/7 2) y=(12/7)x
Step-by-step explanation:
C(0,0) D(7,12)
[tex]\displaystyle\\1)\ Slope=m=\frac{rise}{run} =\frac{y_D-y_C}{x_D-x_C} \\\\m=\frac{12-0}{7-0} \\\\m=\frac{12}{7}[/tex]
[tex]\displaystyle\\2)\ y=mx+b\ \ \ \ m=\frac{12}{7} \ \ \ \ C(0,0)\\0=\frac{12}{7} *0+b\\\\0=0+b\\\\0=b\\\\Hence,\\\\y=\frac{12}{7} x+0\\\\y=\frac{12}{7}x[/tex]
The students in art class have blue cloth that's 60 inches long, glod cloth that is 48 inches long, and white cloth that is 72 inches long. They want to cut all the cloth into pieces of equal lenght for a project.
What is the greatest lenght of the pieces without having any cloth leftover? explain your reasoning.
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches are greatest lenght of the pieces by greatest common factor.
What does "largest common factor" mean?
A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four.a. As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.
First we will factor out all three numbers completely
60 = 2 × 2 × 3 × 5
48 = 2 × 2 × 2 × 2 ×3
72 = 2 × 2 × 2 × 3 × 3
The common factors are: 2, 2 and 3
Thus the GCF = 2 × 2 × 3 = 12
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
b. For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So
Number of pieces for blue cloth = 60/12 = 5
Number of pieces for gold cloth = 48/12 = 3
Number of pieces for white cloth = 72/12= 6
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Does the mapping diagram represent a function? Why or why not? X -6 2- 3 y 10 5 4 A. No; the input value x = 3 pairs with two different output values. B. No; two output values pair with two different input values. C. No; each input pairs with only one output. D. Yes; each input pairs with only one output.
Answer:
A. No; the input value x=3 pairs with two different output values.
Step-by-step explanation:
For this to be a function, each of the x values should have only one output value.
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A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mean?
The mean of a set of final scores from a recent outing is 50.77
Here,
A group of friends enjoys playing miniature golf together.
Here are a set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
We have to find the mean.
What is Mean?
The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Now,
Set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
Then, Mean = 39 + 41 + 44 + 50 + 54 + 56 + 56 + 56 + 61 / 9
= 457/9
= 50.77
Hence,
The mean of a set of final scores from a recent outing is 50.77
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Help!!! Please help urgently!
Answer:
x = 18
Step-by-step explanation:
25 + 20 = 45
Proportions:
45 ⇒ 50
20 ⇒ x
x = 45*20/50
x = 18
The larger of two numbers is 17 more than the smaller number. The sum of the two numbers is 71.
Answer:
The smaller number is 27 and the larger number is 44
Step-by-step explanation:
Let x = the larger number
Let y = the smaller number
x + y = 71
x = y + 17 Substitute in y + 17 for x in the first equation.
x + y = 71
y +17 + y = 71 Combine the y's.
2y + 17 = 71 Subtract 17 from both sides of the equation
2y = 54 Divide both sides of the equation by 2
y = 27. Plug 27 in for y for either of the two original equation to find x
x + y = 71
x + 27 = 71 Subtract 27 from both sides of the equation
x = 44
For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence) 3,9,15
49x^2=-21x-2 quadratic functions
Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7
Step-by-step explanation:
Quadratic function:
In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.
Move terms to the left side
49[tex]x^{2}[/tex] =-21x-2
49[tex]x^{2}[/tex] -(-21x-2) =0
Distribute
49[tex]x^{2}[/tex] -(-21x-2) =0
49[tex]x^{2}[/tex]+21x+2=0
Use the quadratic formula
x=(-b±√[tex]b^{2}[/tex] -4ac ) / 2a
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
49[tex]x^{2}[/tex]+21x+2=0
let, a=49
b=21
c=2
Replace with values in this equation
X=(-b±√[tex]b^{2}[/tex] -4ac ) / 2a
Simplify
Evaluate the exponent
Multiply the numbers
Subtract the numbers
Evaluate the square root
Multiply the numbers
x=(-21±7) /98
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate
x=(-21+7) /98
x=(-21-7) /98
Solve
Rearrange and isolate the variable to find each solution
x=-1/7
x=-2/7
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What is the value of the quantity negative one sixth cubed all raised to the power of negative 3?
10,077,696
1
−1
−10,077,696
The value of the expression is −10,077,696
How to evaluate the expression?The expression is given as:
negative one sixth cubed all raised to the power of negative 3?
Rewrite properly as:
(-1/6^3)^-3
Evaluate the exponent of 6 to 3
So, we have:
(-1/216)^-3
Apply the law of negative exponent
So, we have
(-216)^3
Evaluate the exponent
−10,077,696
Hence, the value of the expression is −10,077,696
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