If -(x - 1) = 5, find the value of -4x. Show your work.
PLEASEEEE !!!
Answers
Answer: x=-4
Step-by-step explanation:
1. Simplify:
-(x-1)=5 => -x+1=5
Isolate x:
-x=5-1 => -x=4 => x=-4
Related Questions
Let f(x)=5x+2 and g(x)=5x^2+4x. After simplifying, (f⋅g)(x)=______
Answers
Answer: \(f(g(x))=25x^{2}+20x+2\\\)
Step-by-step explanation:
(f·g)(x) also means f(g(x)).
So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.
\(f(g(x))=5(5x^{2}+4x)+2\)
Now distribute the 5.
\(f(g(x))=25x^{2}+20x+2\)
This is as simplified the equation gets as it is not factor-able.
Multiply and simplify if possible - radical functions. Thank you!
Answers
We want to simplify the following expression
\(\sqrt{7x}(\sqrt{x}+7\sqrt{7})\)First, we can apply the distributive rule to rewrite this product
\(\sqrt{7x}(\sqrt{x}+7\sqrt{7})=(\sqrt{7x})(\sqrt{x})+(\sqrt{7x})(7\sqrt{7})\)Then, using the following property
\(\sqrt{x}\cdot\sqrt{y}=\sqrt{x\cdot y}\)we can rewrite our expression as
\((\sqrt{7x})(\sqrt{x})+(\sqrt{7x})(7\sqrt{7})=\sqrt{7x\cdot x}+7\sqrt{7x\cdot7}\)We can remove the squared terms out of the root
\(\sqrt{7x\cdot x}+7\sqrt{7x\cdot7}=x\sqrt{7}+7\cdot7\sqrt{x}=x\sqrt{7}+49\sqrt{x}\)and this is our answer.
\(\sqrt{7x}(\sqrt{x}+7\sqrt{7})=x\sqrt{7}+49\sqrt{x}\)A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12? StartFraction 1 over 100 EndFraction StartFraction 1 over 12 EndFraction StartFraction 11 over 100 EndFraction StartFraction 12 over 100 EndFraction
Answers
The probability of randomly selecting a number that is less than 12 is 11/100 option third tartFraction 11 over 100 EndFraction is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
A box contains cards that are numbered from 1 to 100.
Total number of outcomes = 100
The number less than 12: = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Total number of favorable outcomes = 11
The probability = 11/100
Thus, the probability of randomly selecting a number that is less than 12 is 11/100 option third tartFraction 11 over 100 EndFraction is correct.
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An artist is building a pedestal out of wood that will be used to display a piece of sculpture. she plans to cover the pedestal with tile. how much tile will it take to cover the pedestal? cm2
Answers
The amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal. In order to determine how much tile is needed, you will need to measure the surface area of the pedestal.
The pedestal's dimensions are height, breadth, and length.
Multiply the height, width, and length of the pedestal to calculate the surface area.
Multiply the surface area by the number of tiles needed to cover the pedestal. To determine the number of tiles needed, divide the surface area by the area of each tile.
For example, if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long, the surface area is 16 square feet. If each tile has an area of 1 square foot, then it will take 16 tiles to cover the pedestal.
In conclusion, the amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal and the size of the tiles. To determine the amount of tile needed, measure the surface area of the pedestal and then multiply it by the number of tiles needed to cover the pedestal.
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The pedestal's size and shape will determine how much tile is required to cover it. It will take 1176cm² of tiles to cover the pedestal.
You will need to measure the pedestal's surface area in order to figure out how many tiles you need. The height, width, and length of the pedestal are the same. To determine the surface area, multiply the pedestal's height, width, and length.
S = 2*s1 + s2 + 2*s3
= 96 + 480 + 600
= 1176
Divide the total number of tiles required to cover the pedestal by the surface area. Divide the surface area by the area of each tile to determine the required number of tiles.
The surface area, for instance, is 16 square feet if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long. 16 tiles will be required to cover the pedestal if each tile has a surface area of one square foot.
In conclusion, the dimensions of the tiles and the pedestal's size will determine how much tile is required to cover the pedestal. Multiply the surface area of the pedestal by the number of tiles required to cover it to find the required quantity of tiles.
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I need somebodys help quickly please!
(look at the attachment it shows the math equation).
Answers
Answer:
here ya go, i didnt really feel like tpoing so its in the picture
Step-by-step explanation:
if a power series matches a function f(x) exactly everywhere, the radius of convergence is
Answers
If a power series matches a function f(x) exactly everywhere, then the radius of convergence is infinite.
This means that the power series converges for all values of x. In other words, the power series can be used to approximate the function f(x) with arbitrary accuracy for any value of x.
This is a very powerful tool in mathematics and has many practical applications in science, engineering, and other fields.
The proof that a power series with infinite radius of convergence matches a function f(x) exactly everywhere is based on the fact that a power series is a sum of infinitely many terms, each of which is a polynomial in x.
By adding up these polynomials, we can approximate any function f(x) to an arbitrary degree of accuracy. The only limitation is that we need to know the coefficients of the power series,
which can be obtained by differentiating or integrating the function f(x) or by using other mathematical techniques. Once we have the coefficients, we can plug them into the power series formula and get an exact match for the function f(x).
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it's the 99th day of autumn and the first leaf has fallen! if the number of leaves on the ground is tripling with each passing day, what is the total number of leaves that have fallen to the ground by the end of the 2424th day of autumn?
Answers
By the end of the 24th day of autumn, there is exactly 1,594,323 number leaf total on the ground.
What are numbers?A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that use digits or symbols to represent them.So, let uscalculate the total number of leaves as follows:
A number of leaves on day 1.
= 1A number of leaves on day 2.
= 1*3= 3A number of leaves of day 3.
= 3*3= 9A number of leaves on day 4.
= 9*3= 27A number of leaves on day 5.
= 27*3= 81A number of leaves on day 6.
= 81*3= 243A number of leaves of day 7.
= 243*3= 729A number of leaves on day 8.
= 729 * 3= 2187A number of leaves on day 9.
= 2187 *3= 6561A number of leaves on day 10.
= 6561 * 3= 19683A number of leaves on day 11.
= 19683 * 3= 59049A number of leaves on day 12.
= 59049 *3= 177147A number of leaves on day 13.
= 531441The total number of leaves after the 24th day: 1,594,323No of leaves that fall daily on the first day: 1No of days leaves falls 14 days.Therefore, by the end of the 24th day of autumn, there is exactly 1,594,323 number leaf total on the ground.
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1. Check whether the given function is a probability density function. If a function fails to be a probability density function, say why.
a) f(x) = x on [0, 7]
<1> Yes, it is a probability function.
<2> No, it is not a probability function because f(x) is not greater than or equal to 0 for every x.
<3> No, it is not a probability function because f(x) is not less than or equal to 0 for every x.
<4> No, it is not a probability function because\int_{0}^{7}f(x)dx ≠ 1.
<5> No, it is not a probability function because\int_{0}^{7}f(x)dx = 1.
b) f(x) = ex on [0, ln 2]
<1> Yes, it is a probability function.
<2> No, it is not a probability function because f(x) is not greater than or equal to 0 for every x.
<3> No, it is not a probability function because f(x) is not less than or equal to 0 for every x.
<4> No, it is not a probability function because\int_{0}^{\ln 2}f(x)dx ≠ 1.
<5> No, it is not a probability function because\int_{0}^{\ln 2}f(x)dx = 1.
c) f(x) = −2xe−x2 on (−[infinity], 0]
<1> Yes, it is a probability function.
<2> No, it is not a probability function because f(x) is not greater than or equal to 0 for every x.
<3> No, it is not a probability function because f(x) is not less than or equal to 0 for every x.
<4> No, it is not a probability function because\int_{-\infty }^{0}f(x)dx ≠ 1.
<5> No, it is not a probability function because\int_{-\infty }^{\0}f(x)dx = 1.
Answers
a) No, it is not a probability density function because f(x) is not greater than or equal to 0 for every x. Specifically, f(x) is negative for x < 0.
b) Yes, it is a probability density function. The function is always positive on [0, ln 2], and its integral from 0 to ln 2 is equal to 1.
c) No, it is not a probability density function because f(x) is not greater than or equal to 0 for every x. Specifically, f(x) is negative for x < 0, and its integral over its domain from -∞ to 0 is not equal to 1.
what is probability?
Probability is the measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In other words, probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given situation. It is used in a wide range of fields, including mathematics, statistics, physics, engineering, finance, and more, to make predictions and informed decisions based on uncertain or random events.
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Which of the following numbers best represents M on the number line?
Answers
Answer:
C
Step-by-step explanation:
A - Incorrect because it is bigger than -0.5
B - Incorrect because it is bigger than -0.5
D - Incorrect because it is bigger than -0.5
C- Correct!
uppose that a, b, and c are collinear points. b is the midpoint of ac . the coordinate of a is -8, and the coordinate of b is -2.5. what is the coordinate of c?
Answers
a, b, and c are collinear points. b is the midpoint of ac .
The coordinate of c is 3. So, the coordinate of point c is 3.
If b is the midpoint of ac, it means that the coordinates of a, b, and c lie on the same line and b is exactly halfway between a and c.
Given that the coordinate of a is -8 and the coordinate of b is -2.5, we can determine the coordinate of c as follows:
The distance from a to b is equal to the distance from b to c. Since b is the midpoint, the distance from a to b is half of the distance from a to c. Mathematically, we can express this relationship as:
|a - b| = |b - c|
Substituting the given coordinates, we have:
|-8 - (-2.5)| = |-2.5 - c|
Simplifying further:
| -8 + 2.5 | = |-2.5 - c|
| -5.5 | = |-2.5 - c|
Since the absolute value of a number is always positive, we can drop the absolute value signs:
5.5 = 2.5 + c
Now we solve for c:
5.5 - 2.5 = c
3 = c
Therefore, the coordinate of c is 3. So, the coordinate of point c is 3.
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It was found out that out of 110 students in a school,20 read both Newspapers and story books.10 read neither newspaper nor story book and thrice as many students read story books as read Newspapers.find the number of students who read
(i) Newspapers
(ii) story books
Answers
The students who read newspapers is 30, and the read story books is 90.
Let number of students read newspapers as N and story books as S.
We have
Out of 110 students, 10 read neither newspaper nor story book.
This means that these 10 students are not included in either N or S.
As, students who read story books is three times read newspapers. then, S = 3N.
So, the total number of students who either read newspapers or story books is given by:
= 110 - 10
= 100
and, the total number of students who either read newspapers or story books is given by:
N + S - 20 = 100
Substituting S = 3N, we have:
N + 3N - 20 = 100
4N - 20 = 100
4N = 120
N = 30
Now, we can calculate the number of students who read story books:
S = 3N = 3 c 30 = 90
Therefore, the students who read newspapers is 30, and the read story books is 90.
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what is the area of the composite figure shown?
Answers
Answer:
under the figure 16in
Answers
Step-by-step explanation:
You add all of them
Need help. thank you
Answers
Answer:
x = 70.53 degrees
Step-by-step explanation:
equation:
cos-1 = \(\frac{adjacent}{hypotenuse}\)
⇒ cos-1 x = \(\frac{4}{12}\)
⇒ cos-1 x = 0.33
⇒ x = 70.528
round to the nearest tenth:
⇒ 70.53
Which is the better buy?
Frozen Peas
Cost (dollars)
Weight (ounces)
O Brand A
A B
2
16
3
28
O Brand B
O The unit cost is the same.
Answers
The better buy is given by the following brand:
Brand A.
How to obtain the better buy?The better buy is obtained applying the proportions in the context of the problem.
A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.
Then the better buy is given by the option with the lowest cost per ounce.
The cost per ounce for each brand is given as follows:
Brand A: 16/2 = $8 per ounce.Brand B: 28/3 = $9.3 per ounce.$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.
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How come the inverse of the function:f(x)=-3 cube root of 4x is -x^2/4?
Answers
The correct inverse of the function \(f(x) = -3\sqrt[3]{4x}\) is \(f^{-1}(x) = \frac{-x^3}{108}\), not \(-\frac{x^2}{4}\).
To find the inverse of a function, we usually follow the steps of swapping the variables and solving for the new dependent variable. Let's apply these steps to the function \(f(x) = -3\sqrt[3]{4x}\) to find its inverse.
1. Swap the variables:
Swap \(x\) and \(y\) to obtain \(x = -3\sqrt[3]{4y}\).
2. Solve for the new dependent variable:
Start by isolating the cube root term:
\[\frac{x}{-3} = \sqrt[3]{4y}\]
Next, cube both sides to eliminate the cube root:
\[\left(\frac{x}{-3}\right)^3 = (4y)\]
Simplify and solve for \(y\):
\[\frac{x^3}{-27} = 4y\]
\[y = \frac{-x^3}{108}\]
Hence, the inverse of the function \(f(x) = -3\sqrt[3]{4x}\) is \(f^{-1}(x) = \frac{-x^3}{108}\), not \(-\frac{x^2}{4}\). It seems there might have been an error in the given answer.
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(Multiple choice/ Most Brainly will be rewarded)
Can I please have some help on this question.
(Zoom in if needed)
Answers
you want to multiply 3a^2 to each of the values inside the parentheses so it would be (3*2)(a^2*a^3)(b)-(3*4)(a^2*a)(b^2)
so (6)(a^2+3)(b)-(12)(a^2+1)(b^2)
and therefore the answer is 6a^5b-12a^3b^2
Find the length of an arc of an 8" radius circle if the arc measures 45°
271 in.
871 in.
1671 in.
Answers
Answer:
Step-by-step explanation:
The appropriate formula here is s = rФ, where Ф is the central angle in radians. We are given r = 8" and Ф = π/4 radians. Then the desired arc length is
s = (8")(π/4), or s = 2π or approximately 6.28". The three given possible answers are 'way off.
choose the answer based on the most efficient method. if the first step in the equation " -9 + x = 5x - 7" is subtract x, what should the next step be
Answers
Answer:
add 7 to both sides
Step-by-step explanation:
This is so because we are trying to solve the equation by seperating the variables from the real numbers. So as they remove all variables from the left side of the equation, we should remove any remaining numbers that are on the right side of the equation.
Hope this helps!
The space shuttle carries c pounds of cargo, and each piece of cargo weighs 212.66 pounds. Which of the following expressions represents the number of pieces of cargo?
Answers
Answer:
The answer would be B. c ÷ 158.14
Step-by-step explanation:
i just took this test :) the question was:
The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds. Which of the following expressions represents the number of pieces of cargo The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds? Which of the following expressions represents the number of pieces of cargo?
A. c × 158.14
B. c ÷ 158.14
C. c - 158.14
D. c + 158.14
what is the distance between A(-8,4) and B(4,-1)
Answers
Answer:
13 units
Step-by-step explanation:
Here we need to use the distance formula.
Hence we get that,
AB = \(\sqrt{(-8-4)^2 + (4-(-1))^2}\)
AB = \(\sqrt{(-12)^2 + 5^2}\)
AB = \(\sqrt{144 + 25}\)
AB = \(\sqrt{169}\)
AB = 13
The distance between point A(-8,4) and B(4,-1) is 13 units.
What is distance formula?The distance between two points of the xy-plane can be found using the distance formula. The distance formula is:
√[(x₂ - x₁)² + (y₂ - y₁)²].
Now the given points are,
A(-8,4) and B(4,-1)
Therefore we have,
x₁ = -8
y₁ = 4
x₂ = 4
y₂ = -1
Now distance between A(1,4) and B(-3,3.5) = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - (-8))² + (-1 - 4)²]
= √[(4 + 8)² + (-5)²]
= √(12² +25)
= √(144 +25)
= √169
= 13 units
Thus, the distance between points A(-8,4) and B(4,-1) is 13 units.
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The figures shown are two similar triangles such that ΔABC∼ΔDFE. Find the value of cos F. A.817 B.815 C.1517 D.1715
im taking the test right now someone answer quickly i dont want to fail
Answers
Answer:
The answer is 8/17
Step-by-step explanation:
How to get the cos= adjacent over hypotenuse, the adjacent side is= 8, and the hypotenuse= 17
Answer:
8/17
Step-by-step explanation:
which expression is equivalent to - 14 -6?
A.-14 + (-6)
B.-14 -6
C.14 +6
D.14 +(-6)
Answers
Answer:
B
Step-by-step explanation:
A number cube with faces labeled 1 to 6 is rolled once. The number rolled will be recorded as the outcome.
Consider the following events.
Event A: The number rolled is greater than 4.
Event B: The number rolled is even.
Give the outcomes for each of the following events.
Group of answer choices
Event “A or B”:
[ Choose ]
Event “A and B”:
[ Choose ]
The complement of event A:
[ Choose ]
Answers
Answer:
so the aswerinswer is 1/6
If the concentration of the first tube is 150 ng/ml, what are the concentrations of the other three tubes?
Answers
The concentrations of the other three tubes are 1500 ng/ml, 15000 ng/ml, and 150000 ng/ml, respectively.
In order to answer the question, we need to have more information about the dilution factor of the tubes. Assuming that all the tubes have the same dilution factor, we can use the formula:C1V1 = C2V2
Where,C1 = concentration of the initial solution,V1 = volume of the initial solution,C2 = concentration of the final solution,V2 = volume of the final solution
Given that the concentration of the first tube is 150 ng/ml, we can use the above formula to calculate the concentrations of the other three tubes, provided we know the dilution factor.
Let's assume that the dilution factor is 10, which means that the initial volume was diluted by a factor of 10 to obtain the final volume in each tube.
Using the formula,C1V1 = C2V2
For tube 1, C1 = 150 ng/ml, V1 = 1 ml (assuming initial volume is 1 ml), C2 = concentration of tube 2, V2 = 0.1 ml (assuming a dilution factor of 10)
Substituting the values,150 x 1 = C2 x 0.1C2 = 1500 ng/ml
Therefore, the concentration of tube 2 is 1500 ng/ml.
Repeating the same process for the other two tubes, we get:C3 = 15000 ng/mlC4 = 150000 ng/ml
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Find the value of x.
110°
X + 116
Answers
Pavani collects 20.3 pounds of metal to take to a recycling center. The recycling center pays her for 18.4 pounds of the metal, and refuses the rest of it.
How much of Pavani's collection was refused, in pounds?
Answers
1.9 pounds of metal was refused of her collection.
Given that
Pavani collects 20.3 pounds of metal to take to a recycling center. The recycling center pays her for 18.4 pounds of the metal, and refuses the rest of it.To find
How much metal of Pavani's collection was refused, in poundsSo according to the question
We have,
Total collection by her = 20.3 pounds of metalThe recycling center pays her = 18.4 pounds of the metal.For finding the remaining metal of her collection, we have to subtract the metal buy by recycling center from her total collection
So, we can say that
remaining metal = her total collection - he metal buy by recycling center
Now, putting the values from question
remaining metal = 20.3 - 18.4
= 1.9 pounds of metal.
Answer:
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I need help with my Geometry Homework.
Answers
Applying the property of the diagonals of a kite, the measure of angle F is calculated as: 71°.
What is the Property of the Diagonals of a Kite?The property of the diagonals of a kite is that they intersect at a right angle, while the shorter diagonal divides it into two isosceles triangles.
Thus, FH is a diagonal that divides the kite into two isosceles triangles, therefore:
m<EFH = 1/2(180 - 142)
m<EFH = 19°
m<GFH = 1/2(180 - 76)
m<GFH = 52°
m<F = m<EFH + m<GFH
m<F = 19 + 52
m<F = 71°
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Answer:
m∠F = 71°--------------------------
Property of kites:
Kites have a pair of congruent and pair of different angles.In the given kite we can see a pair of different angles, ∠G and ∠E.
It means the other two angles are congruent:
∠F ≅ ∠HWe know the sum of interior angles of a quadrilateral is 360°.
Find the missing angle measure:
m∠E + m∠F + m∠G + m∠H = 360142 + m∠F + 76 + m∠F = 3602* m∠F + 218 = 3602*m∠F = 142 m∠F = 71°a bowl contains 75 balls. of these, 10 are white, 11 are red, 12 are blue, 13 are green, 14 are yellow and 15 are black. what is the smallest number of balls that can be selected from the bowl to be certain that at least one ball of every color is chosen?
Answers
We have to use pigeonhole principle to find balls from bowl. From 75 balls at least one out of 31 balls will be of black color, out of 23 balls will be red, out of 25 will be blue, out of 27 balls will be green, out of 29 will be yellow.
out of 75 balls for each ball to be chosen at least once then we have to compute each color of ball separately,
By using the pigeonhole principle's formula n(r - 1) + 1
For red ball,
N=11, k=1, [N/2]≥3
= 11(3-1)+1
= 23
Hence, out of 23 balls from 75 balls at least one will be of red color
For, blue ball
N=12, k=1, [N/2]≥3
= 12(3-1)+1
= 25
Hence, out of 25 balls from 75 balls at least one will be of blue color
For green color,
N=13, k=1, [N/2]≥3
= 13(3-1)+1
= 27
Hence, out of 27 balls from 75 balls at least one will be of green color
For yellow ball,
N=14, k=1, [N/2]≥3
= 14(3-1)+1
= 29
Hence, out of 29 balls from 75 balls at least one will be of yellow color
For black ball,
N=15, k=1, [N/2]≥3
= 15(3-1)+1
= 31
Hence, out of 31 balls from 75 balls at least one will be of black color
The pigeonhole principle states that if n items are put into m containers, where n > m, at least one container must contain more than one item. If there are k+1 or more pigeons dispersed throughout the k pigeonholes, at least one pigeonhole will have two or more pigeons. Proof. The statement's converse is that there can only be a maximum of k pigeons if each slot can only accommodate one bird.
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Which of the following is most likely the next step in the series?
Answers
Answer:
C
Step-by-step explanation:
on the first first one we added 4 then we added 6 and for the last one we added 8 and that's how we got C
x - 1/3 = 6
Give your answer as an improper fraction.
Answers
Answer:
19/3 (6 1/3)
Step-by-step explanation:
x = 6( or 18/3) + 1/3
x = 19/3