The error in solving for the equation in the question was that m was not appropriately converted from a negative number.
What error was made?The equation is:
-m/3 = -4
Solving gives:
3 x (-m/3) = 3 x -4
m is a negative and should remain so. The next step is:
-m = -12
m = -12 / -1
m = 12
m is therefore 12 and not -12.
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Find the inverse of each function. Is the inverse a function? f(x)=∛x-5
The inverse function is written as [tex]f^{-1}(x)[/tex] =x³+15x²+75x+125 and the inverse is a function.
The inverse of a function is defined as the opposite function . Ideally we use a function to map the dependent variable y based on the independent variable x. Inverse function is the relation which defines the value of x depending on a particular value of y.
For an inverse function the domain of the function changes to the range and vice-versa.
Mathematically for a function defined as y=g(x) where g(x) is a polynomial of x . We solve the equation for x in terms of y.
Given function is g(x)=∛x-5
Therefore it can be written as
y= ∛x-5
or, y+5=∛x
Cubing both sides we get:
(y+5)³=(∛x)³
or, y³+15y²+75y+125=x
or, x=y³+15y²+75y+125
So the inverse function can be written as:
[tex]f^{-1}(x)[/tex]=x³+15x²+75x+125 and the inverse function exists.
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a jogger begins her workout by jogging to a park, a distance of 12 miles. she then jogs home at the same speed, but along a different route. this return trip is 18 miles, and her time is one hour longer. find her jogging speed.
The jogging speed of the jogger is 6 miles/hour.
Given that:-
Distance from home to park = 12 miles
Distance from park tp home from a different route = 18 miles
It is also given that the time taken to reach home from park is 1 hour longer than the number of hours taken to reach park from home.
We have to find the speed of the jogger.
Let the time taken by jogger to reach park from home be t hours.
Hence, according to the data given in the question,
Time taken by jogger to reach home from park is (t+2) hours.
We know that,
Speed = distance/time
We know that the speed of jogger in each route is same.
Hence, we can write,
12/t = 18/(t+1)
2/t = 3/(t+1)
2(t+1) = 3t
2t+2 = 3t
t = 2 hours.
Hence, speed of the jogger = 12/2 = 6 = 18/(2+1) = 18/3.
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what is the answer to this ? 5b+3.79
Answer:
5
Step-by-step explanation:
5b+3.79
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n is nax^n−1 .
5b^1-1
Subtract 1 from 1.
5b^0
For any term t except 0, t^0 = 1
5×1
For any term t, t×1=t and 1t=t.
5
[(12-18)/3-5] multipied by(-4)
For each direct variation, find the constant of variation. Then find the value of y when x=-3 .
y=1 when x=-1.5
After direct variation y = 2 when x = -3.
What do we mean when we say "direct variation"?To give the reader a hint, direct variation equations use the same phrase.The phrase could be "directly proportional" or "directly varies."For example, the area of a square is proportional to the square of its side.The variational constant is k = 3 if y varies directly as x and y = 6 when x = 2.As a result, y = 3x is the direct variation equation.So,
The initial statement is y = kx
Then to find y when x = -3.
K constant will be y/x ⇒ 1/-1.5That is y = kx ⇒ y = 1/-1.5 × xWhen x = -3:
1/-1.5 × -3 ⇒ y = 2Therefore, y = 2 when x = -3.
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Solve the compound inequality.
2x-4 > 8 or 3x-1 < -10
Responses
-3 < x < 6
x < 6 or x < -3
x > 6 or x < -3
x > 2 or x < -3
Step-by-step explanation:
2x-4 > 8 or 3x-1 < -10
Grouping the like terms
2x > 8 +4 or 3x < -10 +1
2x > 12 or 3x < -9
2x > 12 3x < -9
2 2 3 3
x > 6 or x < -3
I was to tired today and I have homework and don’t know what to do
Step-by-step explanation:
Just do it and it will pay off
a)find the value of 2x+y when x=4 and y=3
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Plug in x and y values into the equation
2(4) + (3)Multiply
8 + 3Add
11what is the solution to this system of equations?
y = x - 2
y = - 0.5x + 4
Answer:
(4, 2 )
Step-by-step explanation:
y = x - 2 → (1)
y = - 0.5x + 4 → (2)
substitute y = x - 2 into (2)
x - 2 = - 0.5x + 4 ( add 0.5x to both sides )
1.5x - 2 = 4 ( add 2 to both sides )
1.5x = 6 ( divide both sides by 1.5 )
x = 4
substitute x = 4 into (1)
y = 4 - 2 = 2
solution is (4, 2 )
Which of these strategies would eliminate a variable in the system of equations? \begin{cases} -7x + 2y = 5 \\\\ 3x - 5y = -5 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ −7x+2y=5 3x−5y=−5
One strategy to eliminate a variable is by multiplying the first equation by 5 and the second equation by 2 and then adding the resulting equations or by multiplying the first equation by 3 and the second equation by 7 and then adding the resulting equations
Solving system of EquationsFrom the question, we are to determine the strategies that would eliminate a variable in the given system of equations
The given system of equations is
-7x + 2y = 5
3x - 5y = -5
We can eliminate the variable y multiplying the first equation by 5 and the second equation by 2
That is,
5 × [-7x + 2y = 5
2 × [3x - 5y = -5
--------------------------
-35x + 10y = 25
6x - 10y = -10
------------------------
-29x = 15
Also,
We can eliminate the variable x by multiplying the first equation by 3 and the second equation by 7
That is,
3 × [-7x + 2y = 5
7 × [3x - 5y = -5
-------------------------
-21x + 6y = 15
21x - 35y = -35
---------------------
-29y = -20
Hence, one strategy is by multiplying the first equation by 5 and the second equation by 2 and then simplify by adding
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What is the slope of the line that passes through the points (-4, 2) and (-5, 0)? Write your answer in simplest form.
The slope of the line that passes through (-4, 2) and (-5, 0), in simplest form is calculated as: 2.
How to Find the Slope of a Line that Passes through two Points?The slope of a line (m) = change in y/change in x = y2 - y1/x2 - x1 or rise/run of the line.
Given the following points on the line:
(-4, 2) = (x1, y1)
(-5, 0) = (x2, y2)
Substitute the values into m = y2 - y1/x2 - x1:
Slope (m) of the line = (0 - 2) / (-5 - (-4))
Slope (m) of the line = (-2) / (-5 + 4)
Slope (m) of the line = -2/-1
Slope (m) of the line = 2
Thus, the slope of the line that passes through (-4, 2) and (-5, 0), in simplest form is calculated as: 2.
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Question 1
She just knew she would die if she didn't get a job.
Is it a hyperbole or idiom?
Answer:
Hyperbole
Hope this helps :)
Step-by-step explanation:
This is because she is exaggerating, and hyperoble is when someone exaggerates. She will not really die if she didn't get a job.
can someone help? Work out the missing numbers in the identity
__ (p²-2) - p(2p³- __) =p(p²-2) + 3 p
Step-by-step explanation:
I hope you wrote the equation correctly.
there could be parts missing. and exponents be wrong.
I am concerned, because the missing parts are not just numbers. they are full terms in the variable p.
so, well, the right side is
p³ - 2p + 3p = p³ + p
on the left side we have
a(p² -2) - p(2p³ - b)
ap² - 2a - 2p⁴ - pb
so, the first thing we see : we need to eliminate the p⁴ terms, because there are none on the right side.
so,
a = 2p²
that gives us
2p⁴ - 4p² - 2p⁴ - pb = -4p² - pb
let's see, if we can create the missing items just by "b" (and we have to get rid of -4p²) when we bring left and right sides together again :
-4p² - pb = p³ + p
p³ + p + 4p² = -pb
b = (p³ + p + 4p²)/-p = -p² - 1 - 4p
so,
the equation would look like
2p²(p² - 2) - p(2p³ - (-p² - 1 - 4p)) = p(p² - 2) + 3p
which could be also written as
2p²(p² - 2) - p(2p³ + p² + 1 + 4p) = p(p² - 2) + 3p
A panel of judges was rating the taste of different brands of potato chips
Two expressions with equal sign is called as Equation. The rating of a brand that costs $3.00 per bag is 7.
What is equation?Two expressions with equal sign is called as Equation.
A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.
The general form of a simple linear regression equation is:
y=a+bx
Here,
y = dependent variable
x = independent variable
a = intercept
b = slope
The output of the least squares regression analysis for predicting rating from price is provided.
So, the dependent variable is the ratings and the independent variable is the price.
The regression equation for predicting rating from price is:
y=0.39+2.52x
Predict the rating of a brand that costs $3.00 per bag as follows:
y=0.39+(2.52*$3.00)
=0.39+7.56
=7.17
=7 approximately.
Thus, the rating of a brand that costs $3.00 per bag is 7.
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6x-6+x-6 pls he help thank you very mid ce
Answer:
7x-12
Step-by-step explanation:
Answer:The answer is 7x-12
Step-by-step explanation:You would do 6x+x which would equal 7x then you would do -6-6 which would equal -12.So the answer would be 7x-12.
Mrs. Saunders can clean the windows of her house in 3 hours. Her daughter can clean the windows in 6 hours. How long will it take them to clean the windows if they work together?
Answer:4.5 hours, 4 hours and 30 minutes, 4 and a half hours
Step-by-step explanation: you are averaging, so you add all of the numbers together and divide that by the number of numbers.
3+6=9, 9 divided by 2=4.5
Answer:
2hours
Step-by-step explanation:
let windows = x
Mrs. Saunders can clean one-third of the windows in an hour = x/3
daughter can clean one-sixth of the windows in an hour = x/6
so,
x/3+x/6 = 1
thus, x = 2
mother and daughter together can clean the windows in 2 hours
1-39. Estimate the areas of Montana and California using the grid below. Which state has the greatest
area? Compare the area of Montana to the area of California. Explain how you estimated the area of
each state.
California has the greatest area of each state.
What does a math area mean?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.So, we know that
Montana = 5 * 9 = 45 grids
California = 15 + 16 + 14 + 6 = 51 grids
45 < 51
California has the greatest area .
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The length of a rectangle is 15 inches more than twice the width. if the perimeter is 54 inches, find the dimensions (p = 2l + 2w)
Answer:
length = 23 inches , width = 4 inches
Step-by-step explanation:
let width be w then length l = 2w + 15
the perimeter P is calculated as
P = 2l + 2w
given P = 54 , then
2(2w + 15) + 2w = 54
4w + 30 + 2w = 54
6w + 30 = 54 ( subtract 30 from both sides )
6w = 24 ( divide both sides by 6 )
w = 4
l = 2w + 15 = 2(4) + 15 = 8 + 15 = 23
the length is 23 inches and width is 4 inches
I NEED HELP ASAP!!!
Which of the following expressions represents “the difference between a number and eleven”?
11 – n
-11 n
n + 11
n – 11
All of the following represent the same concept except _____.
a number minus five
five more than a number
the sum of a number and five
a number increased by five
thank you!!
The expressions represents “the difference between a number and eleven” is (n - 11) while, for the second case, the one statement which does not represent the same concept, among the four options provided is "a number minus five".
As per question statement, we are provided with two separate questions, first one requiring us to determine the expressions represents “the difference between a number and eleven”, while the second one requiring us to determine the one statement which does not represent the same concept, among the four options provided.
Considering the first case, the statement “the difference between a number and eleven”, considering the number to be "n" can be mathematically expressed as [tex](n - 11)\\[/tex]. Hence, the correct answer is [tex](n - 11)\\\\[/tex].
Coming to the second case, considering the number to be "n",
Option (A) is "a number minus five" which when mathematically stated becomes [tex](n-5)[/tex]
Option (B) is "five more than a number" which when mathematically stated becomes [tex](n+5)[/tex]
Option (C) is "the sum of a number and five" which when mathematically stated becomes [tex](n+5)[/tex]
And, option (D) is "a number increased by five" which when mathematically stated becomes [tex](n+5)[/tex].
That is, Option (B), (C) and (D) all belong to the same concept. Hence, the one statement which does not represent the same concept, among the four options provided is "a number minus five".
Expressions: Expressions in mathematics, are mathematical statements that have two or more terms, consisting of numbers or variables, or both, and being connected by operators in between.To learn more about Expressions, click on the link below.
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i need help on this i don’t understand it really
Answer:
Point G
Step-by-step explanation:
It is point G because since you mirrored it and flipped it, you need to flip figure one and if you move it to where figure two is, in the same place, the new point R is where point G is, so G corresponds to R
Let g(x)=5 x-2 and h(x)=x²+1 . Find the value of each expression. (g ⁰ h)(a)
For the functions g (x) = 5 x - 2 and h (x) = x² + 1, the value of the composite function g o h (a) will be 5 a² + 3.
We are given the functions:
g (x) = 5 x - 2
h (x) = x² + 1
We first need to find the composite function g o h (x).
So, we get that:
g o h (x) = g ( h (x) )
g o h (x) = 5 ( x² + 1 ) - 2
g o h (x) = 5 x ² + 5 - 2
g o h (x) = 5 x² + 3
Now, we need to find the value of the composite function for x = a. So, we get that:
g o h (x = a) = 5 (a)² + 3
g o h (a) = 5 a² + 3
Therefore, for the functions g (x) = 5 x - 2 and h (x) = x² + 1, the value of the composite function g o h (a) will be 5 a² + 3.
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y = - x + 1 + 4
t
2 3
X
|
0
- |
-21
-3
y
Answer:
1+4=5 23×21=44 44-3=41
Step-by-step explanation:
ANSWER= LOL
How do you message ppl?
20 points!!!
Answer:
You can't. You must be a trusted helper.
Answer:
just message them by messaging them
Calculate the possible values for missing value (2, 19) (32, y) given the distance of 34
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{19})\qquad (\stackrel{x_2}{32}~,~\stackrel{y_2}{y})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{d}{34}=\sqrt{(32-2)^2 + (y-19)^2}\implies 34^2=(32-2)^2 + (y-19)^2 \\\\\\ 1156=30^2 +(y-19)^2\implies 1156=900 + (y-19)^2\implies 256=(y-19)^2 \\\\\\ \pm\sqrt{256}=\pm\sqrt{(y-19)^2}\implies \pm 16=\pm (y-19)\implies \mp 16 =y - 19 \\\\\\ \mp 16 + 19 = y\implies y= \begin{cases} 3\\ 35 \end{cases}[/tex]
Question 4 of 5
Meredith is trying to estimate √51 She uses this table of values:
7. 4² 7. 5²
Square 7. 02 07. 12 7. 22 7. 3²
Value 49. 0 50. 41 51. 84 53. 29 54. 76 56. 25
Square 7. 62 7. 72 7. 82 7. 92 8. 02
Value 57. 76 59. 29 60. 84 62. 41 64. 0
4
What should she do next to find √51 to the nearest hundredth?
OA. She should find the average of 7. 1 and 7. 2.
B. She should find the squares of numbers between 7. 2 and 7. 3.
OC. She should find the squares of numbers between 7. 1 and 7. 2.
O D. She should estimate that √51 is 7. 20.
SUBMIT
She needs to locate the squares of the integers between 7.1 and 7.2 in order to estimate √51.
What is the square root of a number?Finding an integer's square root is the inverse of squaring an integer. A number's square value is obtained by multiplying it by itself, whereas the square root of a number can be discovered by looking for a number that, when squared, produces the original value. It follows that a× a = b if "a" is the square root of "b." Every number has two square roots, one of a positive value and one of a negative value because the square of any number is always a positive number.
In the question given to us,
look at the table, we know
(7.1)² = 50.41 and (7.2)² = 51.84
So, (7.1) < √51 < 7.2 { estimate }
They should therefore determine the squares of the numbers between 7.1 and 7.2.
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The complete question is :
Meredith is trying to estimate √51 She uses this table of values:
What should she do next to find √51 to the nearest hundredth?
A. She should find the average of 7. 1 and 7. 2.
B. She should find the squares of numbers between 7. 2 and 7. 3.
C. She should find the squares of numbers between 7. 1 and 7. 2.
D. She should estimate that √51 is 7. 20.
Radio signals travel at a rate of 3 × 108 meters per second. How many seconds would it take for
a radio signal to travel from a satellite to the surface of Earth if the satellite is orbiting at a height
of 4.2 x 107 meters? (Hint: Time is distance divided by rate.)
01.26 x 1016 seconds
01.26 x 1015 seconds
01.4 x 10¹ seconds
01.4 x 10-¹ seconds
Answer:
0.14*10⁻¹ seconds
Step-by-step explanation:
3 × 10⁸ = 30*10⁷
Then:
4.2*10⁷ / 30*10⁷ = 4.2/30 = 0.14
0.14 = 1.4*10⁻¹ seconds
What is the perimeter of this rectangle in simplest form.
The perimeter of the rectangle in it simplest form is 8x - 10.
How to find the perimeter of a rectangle?The perimeter of a rectangle can be found as follows:
perimeter of a rectangle = 2(l + w)
where
l = lengthw = widthTherefore,
length = 3x - 7
width = x + 2
perimeter of a rectangle = 2(3x - 7 + x + 2)
perimeter of a rectangle = 2(3x + x - 7 + 2)
perimeter of a rectangle = 2(4x - 5)
perimeter of a rectangle = 8x - 10
Therefore, the perimeter of the rectangle in it simplest form is 8x - 10.
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A 2-gallon container of laundry detergent costs $14.64. What is the price per quart?
Answer:
Step-by-step explanation:
$1.20 dollars
Evaluate each logarithm.
log₁/₅625
We need to know about logarithm to solve this problem. The answer of the given algorithm is -4.
Logarithm is the exponent that a base needs to be raised to get a certain number. There are a few rules of algorithm, log a + log b can be written as log ab, log a- log b can be written as log a/log b. When a number whose logarithm is being calculated is raised to a power, the power can be multiplied to the log itself. In this question we have to find the logarithm of 625 with base 1/5. To find the logarithm of this number we need to first write 625 in terms of 1/5, the log of number same as base is equal to 1.
[tex]log_{\frac{1}{5} } 625=-log_{\frac{1}{5} } (\frac{1}{5} )^{4} =-4log_{\frac{1}{5} } \frac{1}{5} =-4[/tex]
Therefore we found out the logarithm of 625 with base 1/5 to be -4.
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12,345.6789 to nearest whole number
After rounding off the whole number it becomes 12,346.
According to the statement
We have to find that the value of the whole number.
So, For this purpose, we know that the
The whole numbers are the numbers without fractions and it is a collection of positive integers and zero.
From the given information:
The given number is a 12,345.6789
Then
We know that the
Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers etc.
The number
12,345.6789
Its round off to the
12,346
Because when the number greater than 5 comes after the point then while rounding off we increased the number by 1.
So, After rounding off the whole number it becomes 12,346.
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