1 Solue for x.4(3x - 1) +9 - 2x = 2x + 5+ 8x There is no solution x = 1/2x = all real numbers x = 4 1/2
Answers
Given data:
The given equation is 4(3x - 1) +9 - 2x = 2x + 5+ 8x.
The given equation can be written as,
\(\begin{gathered} 4(3x-1)+9-2x=2x+5+8x \\ 12x-4+9-2x=10x+5 \\ 10x+5=10x+5 \end{gathered}\)Thus, the above equation is true for all real values of x, so third option is correct.
Related Questions
For each value of u determine whether it is a solution to -2u-6<-20
Answers
Answer:
u > 7
Step-by-step explanation:
-2u -6 < -20 Add 6 to both sides
-2u - 6 + 6 < -20 + 6
-2u < -14 Divide both sides by -2. When you multiply or divide both sides by a negative number, you must flig the sign.
\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)
u > 7
Helping in the name of Jesus.
The answer is:
u > 7
In-depth explanation:
You haven't told me what the values of u are, but I'll solve the equation for u.
Add 6 on each side:
\(\bf{-2u-6 < -20}\)
\(\bf{-2u < -14}\)
Divide each side by -1 and reverse the sign:
\(\bf{2u > 14}\)
Now divide each side by 2
\(\bf{u > 7}\)
Consider a tree T with n vertices, where n is an odd integer greater than or equal to 3. Let v be a vertex of T. Prove that there exists a vertex u in T such that the distance between u and v is at most (n-1)/2
Answers
There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.
Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.
Denote this path as P. Let x be the vertex on path P that is closest to v.
By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.
Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.
Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
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PLZ HELP ME IM STUCK ILL GIVE YOU 15 POINTS PLUS BRAIN LIST!
Answers
First one is 436: 75*5+61=436
Second one is 48x^2-12: Just substitute 4x for x. 3*16x^2-12=48x^2-12
Rectangle ABCD has coordinates A(−10, 5), B(10, 5) , C(10, 0), and D(−10, 0). Rectangle A′B′C′D′ has coordinates A′(−2, 1), B′(2, 1), C′(2, 0) , and D′(−2, 0) . Which transformation describe why rectangles ABCD and A′B′C′D′ are similar? Responses Rectangle ABCD was reflected across the y-axis to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was reflected across the y -axis to form rectangle, , , A prime B prime C prime D prime, . , Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was dilated by a scale factor of 5 to form rectangle, , , A prime B prime C prime D prime, . Rectangle ABCD was dilated by a scale factor of 15 to form rectangle A′B′C′D′ . , Rectangle , A B C D, , , , was dilated by a scale factor of , , 1 over 5, , to form rectangle, , A prime B prime C prime D prime, , . Rectangle ABCD was rotated 90° counterclockwise to form rectangle A′B′C′D′.
Answers
The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.
Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.
This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.
The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.
The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.
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*PRE-CALC URGENT + 100 POINTS*
A jumping spider's movement is modeled by a parabola. The spider makes a single
jump from the origin and reaches a maximum height of 20 mm halfway across a horizontal distance of 160 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)
Answers
Answer:
A. (x - 80)² = -320(y = 20)
B. Focus: (80, -60)
Directrix: y = 100
Axis of symmetry: x = 80
Step-by-step explanation:
Part AIf the spider's movement is modeled by a parabola, and its maximum height is 20 mm halfway across a horizontal distance of 160 mm, then:
x-intercepts = (0, 0) and (160, 0)Vertex = (80, 20)Standard form of a parabola with a vertical axis of symmetry:
\(\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}\)
If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.
\(\textsf{Vertex}=(h, k)\)\(\textsf{Focus}=(h,k+p)\)\(\textsf{Directrix}:y=(k-p)\)\(\textsf{Axis of symmetry}:x=h\)Substitute one of the x-intercepts and the vertex into the formula and solve for p:
\(\implies (0-80)^2=4p(0-20)\)
\(\implies (-80)^2=4p(-20)\)
\(\implies 6400=-80p\)
\(\implies p=-80\)
Substitute the found value of p and the vertex into the formula to create the equation of the parabola in standard form:
\(\implies (x-80)^2=4(-80)(y-20)\)
\(\implies (x-80)^2=-320(y-20)\)
Part BGiven:
h = 80k = 20p = -80\(\begin{aligned}\textsf{Focus}&=(h,k+p)\\&=(80,20-80)\\&=(80,-60)\end{aligned}\)
\(\begin{aligned}\textsf{Directrix}:y&=(k-p)\\ \implies y&=(20-(-80))\\ \implies y&=100\end{aligned}\)
\(\begin{aligned}\textsf{Axis of symmetry}:x&=h\\ \implies x&=80\end{aligned}\)
Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
Answers
With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
Answers
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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What is the value of h?
40°
h = 20
h = 35
n = 55
h = 70
Answers
Answer:
55
Step-by-step explanation:
All triangles have a sum of 180°
180 - 40 = 140
Since the triangle is an isosceles triangle, then you are going to divide 140 by 2 because the base angles of an isosceles triangle are congruent.
140 / 2 = 70
Now that we know that the measurement of the two base angles is 70, we can find h.
2h represents the exterior angles. Exterior angles are always supplementary to the interior angles. So, we can simply subtract 70 from 180.
180 - 70 = 110
Now, we can divide 110 by 2 to find h.
110 / 2 = 55
So, h equals 55. So, the answer is the third option.
Scotts baseball team ran some warm up laps with total distance of 4560 cm.there are 8 players on his baseball team.if they all ran the same number of laps,what is the distance each player ran?
Answers
Answer: 570 cm
Step-by-step explanation: The problem is asking 4560 divided by 8, since they are asking the equal distance each player ran. So 4560 divided by 8 is 570 cm.
The distance each player ran for is 570 cm.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.
Given that, a baseball team ran with total distance of 4560 cm, there are 8 players on his baseball team, and they all ran the same number of laps,
We are asked to find the distance each player ran,
The same will be calculated by dividing total distance by total number of players.
Therefore, the distance each player ran = 4560 / 8
= 570 cm
Hence, the distance each player ran for is 570 cm.
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14. A photograph measures eight inches wide and ten inches long. The picture is enlarged to fit on a wall. If the new larger picture is 208 inches wide, how long is it?
Answers
Answer:
The file contains the solution to the question
Convert the common fraction into decimal form. if necessary, round to the nearest thousandth.
6/7
Answers
The conversion of fraction 6/7 in decimal form is 0.857.
What is defined as the fractions?Fractions represent parts of a whole or group of objects. A fraction is made up of two parts. The number at the top of the line is referred to as the numerator. It specifies the number of equal parts of the whole as well as collection that are taken. The denominator is the number below the line. It presents the total number of equal parts into which the whole is divided or the total number of identical objects in a collection.A decimal number has two parts: a whole number component and a fractional component.The given fraction is 6/7.
were 6 is the numerator and 7 is the denominator.
Divide numerator 6 by denominator 7.
6/7 = 0.85714
Round it upto nearest thousandth.
6/7 = 0.857
Thus, the decimal form of the fraction 6/7 is 0.857.
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What is the solution to this equation?
–14x = 70
A.x = –5
B.x = 5
C.x = 84
D.x = –84
Answers
Answer:
x = − 5
Step-by-step explanation:
Divide each term by − 14 and simplify.
Answer: x =5
Step-by-step explanation:
14x/14= 70/14
X = 5
Determine wether the function is increasing, decreasing, or constant
Answers
Answer:
decreasing
Step-by-step explanation:
"Increasing" means the graph is going up from left to right.
"Decreasing" means the graph is going down from left to right.
"Constant" means the graph is "flat" (this is not a technical term) it is keeping the same y value, neither going up nor going down.
What can be super confusing is the
(2.2, 5) mentioned in the question. THIS IS NOT A POINT. It is an interval and points and intervals unfortunately have the same notation sometimes.
An "interval" is a section of the graph, here: FROM 2.2 not including 2.2, TO 5 not including 5. These are like the address on the x-axis. If you look at your graph at 2.2 on the x-axis, it is a peak(relative maximum) and it goes down to the right to where x is 5 where it bottoms out (relative minimum) So on that interval, from 2.2 to 5, the graph is DECREASING.
If someone rode for 2 hours at 3 miles per hour, how far would they go?
Answers
Answer:
Six miles
Step-by-step explanation:
You multiply the two by the three (2x3) and get six (6)
2.5 Hence determine the total area of all the faces in mm²
2.6 Hence, determine the volume of the container in m³
Hint: The volume of the is container is determined by multiplying the area of
the base of the container by the height of the container.
Answers
Answer:
Step-by-step explanation:
gfds5u4wsr5wj6wrs
if y = 3 then evaluate 45 - y
Answers
Answer:
42
Step-by-step explanation:
If y equals 3, then substitute y for 3, getting 45 - 3.
45 - 3 is 42, so that's your answer.
Hope this helped!
HELP!!!!
The train journey from Station A to Station B takes 3 hours. The train journey from Station B to Station C takes two and one-half hours. How many minutes are both train rides combined?
120 minutes
180 minutes
300 minutes
330 minutes
Answers
Answer:
330 Minutes
Step-by-step explanation:
A->B is 3 hours
1 hour=60 minutes
3 hours=180 minutes
B->C is 2 1/2 hours
2 hours=120 minutes
1/2 hour=30 minutes
180+120+30=330 minutes
someone please help i am very confused.
Answers
Answer:
Rectangle A's length = 22 ft., Rectangle B's length = 44 ft.
Step-by-step explanation:
Since we know that the length of Rectangle B is twice the length of Rectangle A, we know that 2*(3x + 7) = Rectangle B's length.
We must set this equation to the dimensions already given for Rectangle B, which gives us 2(3x + 7) = 2 (5x - 3).
Using the distributive property gives us 6x + 14 = 10x - 6 and solving for x gives us x = 5.
We must plug five into the original dimensions to find that the lengths of Rectangles A and B are 22 feet and 44 feet respectively.
Please help!
Calculate the circumference of the circle.
Iscm
13 cm
12 cm
1. 20.41 cm
2. 530.66 cm
3. 40.82 cm
4. 37.68 cm
Answers
Answer:
40.82 cm
Step-by-step explanation:
To calculate the circumference, multiply the radius by pi(3.14) by 2 and the radius.
C=2πr
C=2π(6.6)
approximately 40.84
40.82 and 40.84 are very close to one another!
Solve the right triangle. Round decimal answers to the nearest tenth.find YZfind angle Xfind angle Z
Answers
Given the right triangle XYZ
\(\begin{gathered} XZ^2=XY^2+YZ^2 \\ YZ^2=XZ^2-XY^2 \\ YZ^2=9^2-3^2=81-9=72 \\ YZ=\sqrt[]{72}=\sqrt[]{36\cdot2}=6\sqrt[]{2} \end{gathered}\)We will find the angles using the sine rule
\(\begin{gathered} \angle Y=90,XZ=9 \\ \\ \frac{XZ}{\sin Y}=\frac{YZ}{\sin X}=\frac{XY}{\sin Z} \\ \\ \frac{9}{\sin90}=\frac{6\sqrt[]{2}}{\sin X}=\frac{3}{\sin Z} \end{gathered}\)So, the angle X will be:
\(\begin{gathered} \frac{9}{\sin90}=\frac{6\sqrt[]{2}}{\sin X} \\ \\ \sin X=\frac{6\sqrt[]{2}}{9}\cdot\sin 90=0.9428 \\ \\ X=\sin ^{-1}0.9428\approx70.5^o^{} \end{gathered}\)The angle Z will be:
\(\begin{gathered} \frac{9}{\sin90}=\frac{3}{\sin Z} \\ \\ \sin Z=\frac{3}{9}\sin 90=0.3333 \\ \\ Z=\sin ^{-1}0.3333\approx19.5^o \end{gathered}\)So, the answer is:
\(\begin{gathered} YZ=6\sqrt[]{2}\approx8.5 \\ \\ \angle X=70.5^o \\ \\ \angle Z=19.5^o \end{gathered}\)Which best describes a cone?
Answers
Answer:A cone is a 3-dimensional solid object that has a circular base and a single vertex
Step-by-step explanation:
dolphinsproduction on insta
Answer:
A cone have a point a the top with a round end which is a circle at the bottom.
In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answers
Answer:
Step-by-step explanation:
what is 5 x 28 / 10 + 100 - 2
Answers
Answer:
The answer is 112
Step-by-step explanation:
((58 x 28) / 10) + 100 - 2
Have a good day!
The wholesale price for a bookcase is $194 a certain furniture store marks up the wholesale price by 20% find the price of the bookcase in the furniture store round to the nearest cent if necessary
Answers
The wholesale price of the bookcase is $194. We can say that this price is the 100%.
The furniture store marks up this price by 20%, then the new price is 100%+20%=120%.
Therefore, the price of the bookcase in the furniture store is given by:
\(\begin{gathered} NewPrice=194\cdot\frac{120\text{ \%}}{100\text{ \%}} \\ NewPrice=194\cdot1.2 \\ NewPrice=232.8 \end{gathered}\)Answer: the price of the bookcase in the furniture store is $232.8
The total cost C (in dollars) of playing an online game is given by the equation C=5x +25, where X is the number of months you play the game. How many months do you play when you spend $170? $260?
Answers
Considering the way to solve an equation, you obtain:
when you spend $170, you play 29 months.when you spend $260, you play 47 months.Solve an equationThe solution of a equation means determining the value that satisfies it. So, to solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This caseThe total cost C (in dollars) of playing an online game is given by the equation C=5x +25, where x is the number of months you play the game.
You spend $170. Replacing in the expression for calculated the total cost of playing an online game:
170= 5x +25
Solving:
170 -25= 5x
145= 5x
145 ÷ 5= x
29= x
On the other hand, you spend $260. Replacing in the expression for calculated the total cost of playing an online game:
260= 5x +25
Solving:
260 -25= 5x
235= 5x
235 ÷ 5= x
47= x
Finally, you obtain:
when you spend $170, you play 29 months.when you spend $260, you play 47 months.Learn more about equations:
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For the following right triangle, find the side length x.
15
Answers
Step-by-step explanation:
Pythagorean Theorem
a^2+b^2=c^2
8^2+15^2=c^2
64+225=c^2
289=c^2
Now square both sides
x=17
Answer:
x = 17
Step-by-step explanation:
\(c^{2} = a^{2} + b^{2}\)
\(c^{2} = 8^{2} + 15^{2}\)
\(c^{2} = 64 + 225\)
\(c^{2} = 289\)
\(\sqrt{c^2} = \sqrt{289}\)
\(c = 17\)
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answers
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
Irina’s basketball team has a 1 in 6 chance of winning the first-place trophy. She rolled a six-sided number cube repeatedly, assigning her team a number from 1 to 6 to demonstrate the probability that her team would win. Which method did she use to collect her data? survey simulation experiment observational study
Answers
Answer:
b is right (simulation)
Step-by-step explanation:
edg
The method of data collection used is the simulation method
What is a number cube?A number cube (also known as a die) is a device that is used in simulating probabilities
Below is how to determine the method she used.
From the question, we have the following highlights:
Chance of winning = 1/6She rolls a number cubeThe outcome is assigned to the team that would winThe highlight 3 above implies that the method of data collection used in this question is the simulation method
This is so because the winning team is determined by rolling a number cube
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A scientist was tracking the diving patterns of whales. A whale was at a depth of 3 meters below sea level and then dove an amount of ten meters twice before ascending four meters. The scientist noted that the whale’s current depth in relation to sea level was -16 m. What error did the scientist make?
A The scientist used a negative amount when it should be positive. The correct answer is 16 m.
B The scientist did not include the whale’s starting depth. The correct answer is -19 m.
C The scientist needed to add all the amounts together. The correct answer is -27 m.
D The scientist did not make an error. The correct answer is -16 m.
Answers
Answer:
the answer is b
Step-by-step explanation:
i got the question correct with the answer b
true/false.
____1.When the non-Standard unit used is small few unit's are
needed to fill a container when the non-standard the non-standard units used is bigger more units are needed to fill the container.
____2.Objects with shape can have the same volume.
____3. To find the volume of rectangular prism multiply the length,width and height.
_____4. Volume is measured in square unit's.
_____5. the amount of space inside an object is called the volume of the object.
____6. The volume of a rectangular prism is equal to the product of its length, width, and height V = 1xwxh cubic units.
____7. Standard units give a consistant and accurate measure of a container.
____8. Non-Standard units cannot be used to measure volume.
____9. Volume is measured in cubic units, such as cubic centimeters.
Answers
1. It is false that when non-Standard unit used is small few unit's are
needed .
2. Objects with different shapes can have the same volume. True
3. Length, width and height and multiplied to find volume of a rectangular prism. True
4. It is false that volume is measured in square unit.
5. It is true that Volume is a measure of the amount of space inside an object.
6. The formula for volume of a rectangular prism is V = l × w × h. True
7. It is true that Standard units give a consistent and accurate measure of a container.
8. It is false that Non-Standard units cannot be used to measure volume.
9. Volume is measured in cubic units. True
What is volume of an object?Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.
Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).
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