Amy begin with $22 in her bank account and spent two dollars each day the lawn models the amount of money in her bank account she incorrectly wrote an equation for the line and slope intercept form as y= - 2X +11 what is the correct equation for the line in sloped intercept form
Answers
Answer:
\(m =-2\) -- The slope
\(y = 22-2x\)
Step-by-step explanation:
Required
Calculate the graph equation and the slope
Pick any two points on the graph, we have:
\((x_1,y_1) = (0,22)\)
\((x_2,y_2) = (11,0)\)
To calculate the equation, we first calculate the slope (m)
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{0-22}{11-0}\)
\(m = \frac{-22}{11}\)
\(m =-2\)
The equation is:
\(y - y_1= m(x - x_1)\)
So, we have:
\(y - 22 = -2(x - 0)\)
\(y - 22 = -2(x)\)
\(y - 22 = -2x\)
Make y the subject
\(y = 22-2x\)
Related Questions
which represents the rotation of ABC toA’B’C
a:(x,y) —> (-x,-y)
b:(x,y) —> (x,-y)
c:(x,y) —> (y, -x)
Answers
Answer:
a) A (-2,-2) →A¹ ( 2, 2)
B (-5,-2) →B¹ (5 , 2)
C (-3,-4) →C¹ ( 3 ,4))
b)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-5 , 2)
C (-3,-4) →C¹ ( -3 ,4))
c)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-2 , 5)
C (-3,-4) →C¹ ( -4 ,3))
Step-by-step explanation:
a) Given the (-2,-2) is rotation 180° of counter clock wise then the transformed
to A (-2,-2) → A¹( 2, 2)
B (-5,-2) →B¹ (5 , 2)
C (-3,-4) →C¹ ( 3 ,4))
b)
Reflection about the x-axis
( x, y) → ( x, -y)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-5 , 2)
C (-3,-4) →C¹ ( -3 ,4))
c)
( x, y) → ( y, -x)
Given (x, y) is rotation 90° of clock wise about the origin then the transformed to
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-2 , 5)
C (-3,-4) →C¹ ( -4 ,3))
(question 15) Find the derivative of the function
using logarithmic differentiation.
Answers
Answer:
\(\textsf{A.} \quad (2+x)^x\left[\dfrac{x}{2+x}+\ln(2+x)\right]\)
Step-by-step explanation:
Replace f(x) with y in the given function:
\(y=(x+2)^x\)
Take natural logs of both sides of the equation:
\(\ln y=\ln (x+2)^x\)
\(\textsf{Apply the log power law to the right side of the equation:} \quad \ln a^n=n \ln a\)
\(\ln y=x\ln (x+2)\)
Differentiate using implicit differentiation.
Place d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}\ln y=\dfrac{\text{d}}{\text{d}x}x\ln (x+2)\)
First, use the chain rule to differentiate terms in y only.
In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}}{\text{d}x}x\ln (x+2)\)
Now use the product rule to differentiate the terms in x (the right side of the equation).
\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\textsf{Let}\; u=x \implies \dfrac{\text{d}u}{\text{d}x}=1\)
\(\textsf{Let}\; v=\ln(x+2) \implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{1}{x+2}\)
Therefore:
\(\begin{aligned}\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}&=x\cdot \dfrac{1}{x+2}+\ln(x+2) \cdot 1\\\\\dfrac{1}{y}\dfrac{\text{d}y}{\text{d}x}&= \dfrac{x}{x+2}+\ln(x+2)\end{aligned}\)
Multiply both sides of the equation by y:
\(\dfrac{\text{d}y}{\text{d}x}&=y\left( \dfrac{x}{x+2}+\ln(x+2)\right)\)
Substitute back in the expression for y:
\(\dfrac{\text{d}y}{\text{d}x}&=(x+2)^x\left( \dfrac{x}{x+2}+\ln(x+2)\right)\)
Therefore, the differentiated function is:
\(f'(x)=(x+2)^x\left[\dfrac{x}{x+2}+\ln(x+2)\right]\)
\(f'(x)=(2+x)^x\left[\dfrac{x}{2+x}+\ln(2+x)\right]\)
3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
Answers
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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An oil barrel contains 20.3 gallons of oil. One gallon is equal to 3.8 L. How many liters of oil are in the barrel?
Answers
Answer:
77.14L
Step-by-step explanation:
20.3x3.8=77.14L
I will give brainiest to whoever answers correctly !!
Answers
Answer:
The number of units sold increased by \(\mathbf{11.2\%}\)
Step-by-step explanation:
Vacuum dealer sold units in 2011 = 420
Vacuum dealer sold units in 2012 = 467
We need to find percent increase or decrease
Since, In 2012 units sold are greater than 2011, so there will be percent increase.
The formula used is: \(Percent\:Increase=\frac{New\:Value-Original\:Value}{Original\:Value}\times 100\)
We have New Value (Units sold in 2012) = 467
Original Value (Units sold in 2011) = 420
Percent increase is:
\(Percent\:Increase=\frac{New\:Value-Original\:Value}{Original\:Value}\times 100\\Percent\:Increase=\frac{467-420}{420}\times 100\\Percent\:Increase=\frac{47}{420}\times 100\\Percent\:Increase=11.2\%\)
So, The number of units sold increased by \(\mathbf{11.2\%}\)
NO LINKS!!
Water covers 708%, or about 3.61 x 10⁸ km², of the Earth's surface. Approximate the total surface area of the Earth. (Round your answer to the nearest million.)
____________ km²
Answers
510,000,000 million km²
Let us represent the total surface area of the earth as = x
We are told in the question that:
Water covers 70.8%, or about 3.61 × 10⁸ km², of the Earth's surface.
70.8% = 0.708
Hence,
0.708 × x = 3.61 × 10⁸
x = 3.61 × 10⁸/0.708
x = 361000000/0.708
x = 509,887,005.65km²
Therefore, the total surface are the earth approximately to the nearest million = 510,000,000 million km²
This is the number "510 million"
=======================================================
Work Shown:
The times 10⁸ means "times 100 million"
3.61 x 10⁸ = 3.61 * 100 million = 361 million
S = surface area of the earth
70.8% of S = water coverage area
70.8% of S = 361 million square km
0.708S = 361 million square km
S = (361/0.708) million square km
S = 509.887 million square km
S = 510 million square km
S = 510,000,000 square km
HELP PLS!!
A circle has been divided into 4 equal angles. is each angle acute, obtuse or right?
Answers
Answer:
Right
Step-by-step explanation:
360/4 = 90
90° is a right angle
Solve this question
(7w^7)k³
Answers
The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³) is equal to w = -1.
As given in the question,
Given equation is equal to :
7 ( w + 7 )³ = 7(6³)
Divide both the side of the equation by 7 we get,
⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7
⇒( w + 7 )³ = (6³)
Take cube root both the side of the equation we get,
⇒∛( w + 7 )³ = ∛(6³)
⇒ w + 7 = 6
Now subtract 7 from both the side of the equation we get,
⇒w + 7 - 7 = 6 - 7
⇒ w = -1
Therefore, the value of the variable 'w' for the given equation is equal to w = -1.
The complete question is:
Solve this equation:
7 ( w + 7 )³ = 7(6³)
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What is the difference of 5/6 and 3/4 in simplest form?
Answers
Answer:
1/12
.................
Answer:
In other words - five sixths minus three quarters is one twelfth.
Step-by-step explanation:
In other words - five sixths minus three quarters is one twelfth.
Need help ASAP
Will make you brainlist
Answers
Answer:The slope is 4/3
Simplify the expression:
6(20 + 1)
=
Answers
Answer:
120+6
Step-by-step explanation:
Using distributive property 6times 20 is 120 and 6 times 1 is 6 so 120+6
The joint effect of two independent variables acting together is called a. transformation. b. joint regression. c. autocorrelation. d. interaction.
Answers
Answer:
D. Interaction
Step-by-step explanation: Interaction is a statistical term that is used to describe the joint effects of two or more variables that are acting together, interaction in this sense does not have an additive function, that is interaction does not lead to addition of the variables, it is also a non-causal relationship. Interaction in statistics are usually described in the context of regression analysis.
Kristina paid mortgage interest of
$6,320.00 and Medical Expenses of
$$19,500.00 during 2022. Her
GROSS INCOME was $32,500.
17. Using the deduction that is
best for her, what are her federal
taxes owed for 2022. (She is a
single filer).
Answers
To determine Kristina's federal taxes owed for 2022, we need to calculate her taxable income and apply the appropriate tax rate based on the tax brackets for single filers.
From her gross income of $32,500, we need to subtract the deductions that she can claim. Based on the information provided, Kristina can claim either the standard deduction of $12,550 or itemize her deductions, which in her case would be $6,320 + $19,500 = $25,820.
Since the itemized deductions are greater than the standard deduction, we will use the itemized deductions to calculate her taxable income.
Kristina's taxable income would be:
Gross income - Itemized deductions = $32,500 - $25,820 = $6,680
Next, we need to determine which tax bracket Kristina falls into. For tax year 2022, the tax brackets and rates for single filers are:
- 10% on income up to $10,275
- 12% on income between $10,275 and $41,775
- 22% on income between $41,775 and $91,525
- 24% on income between $91,525 and $191,525
- 32% on income between $191,525 and $416,700
- 35% on income between $416,700 and $418,850
- 37% on income over $418,850
Since Kristina's taxable income of $6,680 falls into the 10% tax bracket, her federal tax liability would be:
$6,680 x 0.10 = $668.00
Therefore, Kristina's federal taxes owed for 2022, using the deduction that is best for her, would be $668.00.
Answer:
Step-by-step explanation:
To calculate Kristina's federal taxes owed for 2022, we need to determine her taxable income first. To do this, we need to subtract her deductions from her gross income:
Gross Income = $32,500
Deductions = Mortgage Interest + Medical Expenses
Deductions = $6,320 + $19,500
Deductions = $25,820
Taxable Income = Gross Income - Deductions
Taxable Income = $32,500 - $25,820
Taxable Income = $6,680
Now, we can use the tax brackets and rates for single filers to determine Kristina's federal income tax liability for 2022. Based on the IRS tax tables for 2022, her tax liability would be calculated as follows:
The first $10,275 of taxable income is taxed at 10% = $1,027.50
The amount of taxable income over $10,275 but not over $41,775 is taxed at 12% = $601.20
Total Tax Liability = $1,027.50 + $601.20 = $1,628.70
Therefore, Kristina's federal taxes owed for 2022, using the deduction that is best for her, would be $1,628.70.
In large cities, people often take taxis to get from one place to another. What is the cost per mile of a taxi ride? How much is a 47 mile taxi ride?
((It costs 25.20$ for a 36 mile drive)
Answers
Answer:
0.7$ permile
32.90$ for 47 mile
Step-by-step explanation:
25.20$ for 36 mile
1. Find the cost for a mile
25.20$ ÷ 36 mile = 0.7$ per mile
2. The cost for 47 mile
0.7$ × 47 mile = 32.90$
Please vote if this helps you! Thanks
Given the following graph, what is the axis of symmetry?
y=-3
X=-3
y = 2
x=2
Answers
Answer:
x = -3
Step-by-step explanation:
Axis of parabola is x axis so
Axis of symmetry is x co-ordinate i.e x=2
CAN SOMEBODY JUST ANSWER THE CORRECT ONE COME ON
Answers
Answer:
(n-2)180
Step-by-step explanation:
Determine if triangle PQR and triangle STU are or are not similar, and, if they are,
state how you know. (Note that figures are NOT necessarily drawn to scale.)
U
45
T
R
45
P
63
639
S
The triangles
similar
Answers
Answer:
They are similar using the angle-angle property.
Step-by-step explanation:
Since you know that 2 of the angles are congruent, you can use this to prove triangle similarity.
By AA similarity, triangle PQR similar to triangle STU.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
The two given triangles PQR and STU.
Here, ∠P=63° and ∠R=45°
In triangle STU, ∠S=63° and ∠U=45°
Now, ∠P=∠S=63° and ∠R=∠U=45°
Since angles of triangle are congruent
By AA similarity, ΔPQR similar to ΔSTU
Therefore, triangles are similar.
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What is the next number in the series: 4, 5, 9, 25, 89, ___
Answers
Answer:
345
Step-by-step explanation:
1 + 4 = 5
4 + 5 = 9
16 + 9 = 25
64 + 25 = 89
1, 4, 16, and 64 are powers of 4. The next power of 4 is 256.
256 + 89 = 345
The answer is 345 (don’t ask why)
i need help please i give brainliest again please
Answers
Answer:
36
Step-by-step explanation:
the reason why it's 36 is because 1.8 is 108 minutes and since she was doing 3 activities we will divide 108 by 3 which equals 36
please help brainliest to correct answer
Answers
Answer:
Question to number 6 is-3
Question to number 7 is 3
Question to number 8 is 2 to the second power
Step-by-step explanation:
please correct me if I’m wrong and for number 8 I am correct it’s just I didn’t know how to put the little 2 on top of the big one
Step-by-step explanation:
question 6 is - 3
question 7 is 3
question 8 is 4
A quadratic function f(x) reaches a minimum value of -16 when x = 2 and the graph of f(x) passes through the x-axis at 6 and -2. Which of these are equivalent forms of the function f(x) ? Choose all that are correct.
A . f(x) = x ^ 2 - 4x - 12
B. f(x) = (x - 2) ^ 2 - 16
C. f(x) = (x - 2)(x + 16)
D. f(x) = (x - 6)(x - 2)
E. f(x) = (x - 6) ^ 2 + 2
F. f(x) = x ^ 2 - 8x + 12
Answers
What is the area of the parallelogram?
Answers
Answer:
24x22=528
Step-by-step explanation:
Multiply by the base and height as you would a rectangle for parallelograms.
Answer:
528 sq units
Step-by-step explanation:
The formula to calculate the area of a parallelogram is:
Area of parallelogram = base × height square units.
whitch calculation and answer show how to convert 5/19 to a decimal?
Answers
Answer:
0.263
Step-by-step explanation:
Just divide 5/19 with lond division.
easy
what are the solutions to the equation (x-1)(x+5)=0
Answers
Answer:
x = 1, -5
Step-by-step explanation:
The answer to the equation is 0 right? So you have to find the value of x to make this equation true. To make (x - 1) equal 0, x has to equal 1, because if x equals 1, then 1 - 1 = 0. It's the same for (x + 5). X would have to equal -5. -5 + 5 = 0.
Pls give brainliest.
I need help with how to find x and y
Answers
SOLUTION
From the diagram given, since triangle TVW is similar to triangle TUS, then the ratio of their corresponding sides would be equal, that is
\(\begin{gathered} \frac{TW}{VW}=\frac{TS}{US} \\ \frac{x}{54}=\frac{4}{6} \\ 6\times x=54\times4 \\ 6x=216 \\ x=\frac{216}{6} \\ x=36 \end{gathered}\)Hence x = 36
Also
\(\begin{gathered} \frac{TV}{VW}=\frac{TU}{US} \\ \frac{27}{54}=\frac{y}{6} \\ 54\times y=27\times6 \\ 54y=162 \\ y=\frac{162}{54} \\ y=3 \end{gathered}\)Hence y = 3
what is the length of an arc which substends an angle of 60digree at the center of a circle of radius 1/2m?
Answers
0.5236 meters is the length of the given arc.
The formula for the length of an arc is given by:
Arc Length = (θ/360) * 2πr
Where:
θ is the central angle in degrees.r is the radius of the circle.In this case, the central angle is 60 degrees and the radius is 1/2 meters.
Plugging the values into the formula, we have:
Arc Length = (60/360) * 2π(1/2)
Arc Length = (1/6) * π
Arc Length = π/6
Therefore, the length of the arc that subtends an angle of 60 degrees at the center of a circle with a radius of 1/2 meters is π/6 meters or approximately 0.5236 meters.
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the manger of the video department at a department store plans to purchase a large number of DVDs of a recent movie. one supplier is selling boxes of 20 DVD movies for $240 and a second supplier is selling boxes of 13 DVD movies for $170. only complete boxes of DVD movies can be purchased.
Answers
one supplier is selling boxes of 20 DVD movies for $240
second supplier is selling boxes of 13 DVD movies for $170.
Total cost of DVDs = Cost of 20 DVDs by supplier 1 + Cost of 13 DVDs by supplier 2
Total cost of DVDs = 240 + 170
Total cost of DVDs= $410
Carlos wants to finish a 7.5-mile trail walking at a constant rate. The remaining distance, d, that Carlos has left to finish the trail after h hours walking is
15.
represented by the function 5h+2d-
Part A
Select the correct domain of the function in terms of the context.
{h/hER}
{h/h>0}
{h|0
{h|0 ≤h≤15}
Part R
W
Type here to search
ii
20
3
hip
7:51 AM
1/17/2023
Answers
The domain of the function 5h + 2d = 15 is [0, 3].
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function 5h + 2d = 15
Where h is the number of hours and d is the distance remaining after h hours.
Now,
5h + 2d = 15
2d = 15 - 5h
d = (15 - 5h)/2
For h = 0, d = 15/2 = 7.5
For h = 1, d = (15 - 5)/2 = 10/2 = 5 miles.
For h = 2, d = (15 - 10)/2 = 5/2 = 2.5 miles.
For h = 3, d = (15 - 15)/2 = 0 miles
The domain of the function is [0, 3].
Thus,
The domain is [0, 3].
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Identify the type of sampling that is used: A list of all registered voters in a state is given to a researcher who would like to determine if a particular candidate is likely to be elected. The researcher has a computer randomly generate several hundred numbers, and those numbers are used to select names from the list to form a sample. a. systematic b. random c. convenience d. stratified
Answers
Answer:
The correct option is (b) random.
Step-by-step explanation:
A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.
Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.
In this case the researcher has a computer randomly generate several hundred numbers, and those numbers are used to select names from the list to form a sample.
The procedure indicates that the researcher used a simple random sampling technique to select the sample.
Thus, the correct option is (b).
2
—-X = 27, what is X?
3
Answers
Answer:
x=40.5
Step-by-step explanation:
Answer:
x=81/2
Step-by-step explanation: