Answer:
[tex]x = \frac{25}{13} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{2}{5} x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6} x[/tex]
Combine like terms:
[tex] \frac{2}{5} x - \frac{5}{6} x = \frac{1}{3} + \frac{1}{2} [/tex]
Find GCF :
[tex] \frac{12}{30} x - \frac{25}{30} = \frac{2}{6} + \frac{3}{6} [/tex]
Subtraction and Addition :
[tex] \frac{13}{30} x = \frac{5}{6} [/tex]
Divide both sides by 13/30 :
[tex] \frac{ \frac{13}{30} }{ \frac{13}{30} } x = \frac{ \frac{5}{6} }{ \frac{13}{30} } [/tex]
Simplify :
Multiplication (Reciprocal) :
[tex]x = \frac{5}{6} \times \frac{30}{13} [/tex]
[tex]x = \frac{150}{78} [/tex]
[tex]x = \frac{25}{13} [/tex]
Answer :
[tex]x = \frac{25}{13} [/tex]
Hope it helps
graph x=4y , x+y=7.0
Answer:
First find the x and y intercepts. Recall that intercepts intersect the x and y axis of a graph, therefore either the x or y value of a coordinate point must be 0 in order for it to be an intercept.
After you find the intercept, plot the them on the cartesian coordinate system and draw a straight line (it’s a linear equation) going through the two intercepts.
Side note: Not sure how credentials work on Quora yet. I meant to say I am a student
The equation of the lines can be plotted on the graph after calculating the coordinates on each line.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two linear equation:
x = 4y
x + y = 7.0
To plot the linear equation first we will find the few coordinates to plot on the coordinate plane.
For the equation of line:
x = 4y
x 0 1 2 3 -1 -2 -3
y 0 4 8 12 -4 -8 -12
For the equation of line:
x + y = 7.0
x 0 1 2 3 -1 -2 -3
y 7 6 5 4 8 9 10
Thus, the equation of the lines can be plotted on the graph after calculating the coordinates on each line.
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Darrel divided 8,675 by 87. His work is shown below
Which answer choice correctly identifies the error Darrel made when dividing?
a b c or d?
A water ride with heights above and below the starting point can be modeled by the function y = 3 sin ( π 2 ( x + 3 ) − 2 ) . Within the interval 0 < x < 5 , when does the ride have a height 1 foot below the starting point?
The value of x for a height 1 foot below the starting point will be the negative 2.76.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
A water ride with heights above and below the starting point can be modeled by the function is given below.
y = 3 sin (π / 2 (x + 3) − 2), Within the interval 0 < x < 5
We know that π / 2 = 90°
Then the value of x for a height 1 foot below the starting point will be
1 = 3 sin (90 (x + 3) − 2)
1/3 = sin (90 (x + 3) − 2)
19.47 = 90 (x + 3) − 2
21.47 = 90 (x + 3)
0.2385 = x + 3
x = -2.76
Then the value of x will be the negative 2.76.
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Complete the following statement of congruence:
A. TRS
B. RTS
C. STR
D. RST
Answer:
B. △RTS
Step-by-step explanation:
△MON ≅ △RTS
The following data represent the high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts (a) through (c
Temperature Lower Limit Upper Limit Days
50-59 50 59 4
60-69 60 69 316
70-79 70 79 1426
80-89 80 89 1532
90-99 90 99 345
100-109 100 109 7
Answer:
The Mean and Standard deviation for the given data would be as follows:
μ =79.7
б =7.81
Step-by-step explanation:
Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Standard deviation is the square root of the arithmetic mean of the squares of deviations of the items from their mean values.
Frequency Distribution
Given that,
Temperature Lower Limit Upper Limit Days([tex]f_{i}[/tex])
50-59 50 59 2
60-69 60 69 313
70-79 70 79 1419
80-89 80 89 1503
90-99 90 99 319
100-109 100 109 9
Average([tex]x_{i\\}[/tex])
[tex]\frac{50+59}{2} = 54.5\\ \\\frac{60+69}{2} = 64.5\\ \\\frac{70+79}{2} = 74.5\\\\\frac{80+89}{2} = 84.5\\ \\\frac{90+99}{2} = 94.5\\ \\\frac{100+109}{2} = 104.5[/tex]
As we know,
Mean (μ) =∑ [tex](x_{i}f_{i})[/tex]/∑[tex]f_{i}[/tex]
= { (54.5 * 2) + (64.5 * 313) +(74.5 * 1419)+(84.5*1503)+(94.5*319) + (104.5*9)/ (2+313+1419+1503+319)
∵ μ = 79.7
As we know,
Standard Deviation:-
[tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]
by putting the values, we get
∵ б = 7.81
Hence, μ = 79.7 and б=7.81 are the correct answers.
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Find the inverse of the function y = 3x + 5 Find the inverse of the function y=3x+5
Answer:
First Inverse function= f^-1(x)=x/3-5/3
Second Inverse function=f^-1(x)=x/3-5/3
Step-by-step explanation:
5 hundreds minus 4 tens?*
Answer:
460
Step-by-step explanation:
4 tens is equivalent to 40, so 500-40 is = to 460.
Hope this helps! :D
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
[tex]\large \bold {ANSWER}[/tex]
[tex]\large \boxed { \large \sf \green{460}}[/tex][tex]\large \bold {SOLUTION}[/tex]
5 hundreds is 5 multiplied by 100, so it equals 500. 4 tens is 4 times 10, so 40.
500 - 40 = 460So 5 hundreds minus 4 tens is 460.
Which of the following probabilities is the greatest for a standard normal distribution? P (negative 1.5 less-than-or-equal-to z less-than-or-equal-to negative 0.5) P (negative 0.5 less-than-or-equal-to z less-than-or-equal-to 0.5) P (0.5 less-than-or-equal-to z less-than-or-equal-to 1.5) P (1.5 less-than-or-equal-to z less-than-or-equal-to 2.5)
The probability P(-0.5 ≤ z ≤ 0.5) is the greatest for a standard normal distribution, and the value of P(-0.5 ≤ z ≤ 0.5) is 38.2% option second is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have a statement:
Which of the following probabilities is the greatest for a standard normal distribution:
The options are:
P(-1.5 ≤ z ≤ -0.5)
P(-0.5 ≤ z ≤ 0.5)
P(0.5 ≤ z ≤ 1.5)
P(1.5 ≤ z ≤ 2.5)
As we know from the normal distribution curve we can find the probability between the range given. At Z=0, the chance is 50-50.
From the Z-curve:
P(-1.5 ≤ z ≤ -0.5) = 9.2% + 15% = 24.2%
P(-0.5 ≤ z ≤ 0.5) = 19.1% + 19.1% = 38.2%
P(0.5 ≤ z ≤ 1.5) = 15% + 9.2% = 24.2%
P(1.5 ≤ z ≤ 2.5) = 4.4% + 1.7% = 6.1%
Thus, the probability P(-0.5 ≤ z ≤ 0.5) is the greatest for a standard normal distribution, and the value of P(-0.5 ≤ z ≤ 0.5) is 38.2% option second is correct.
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Answer:
B) P (-0.5 <= z <= 0.5)
Step-by-step explanation:
The Research Triangle in North Carolina is formed by Raleigh, Durham, and Chapel Hill. Is this triangle a right triangle? Explain.
The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.
Is the triangle a right triangle?
In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where a = length
b = base
c = hypotenuse
12 ² + 24²
= 144 + 576 = 720
29² = 841
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Given the function f ( x ) = x 2 − 6 x + 10 , what is the average rate of change of the function over the interval [ 4 , 8 ] ?
The rate of change of the function over the interval [ 4, 8 ] will be 6.
What is the rate of change of the function?
The rate of change function represents the rate at which one quantity changes in relation to another. Simply put, the rate of change is the difference between the amount of change in one item and the comparable amount of change in another.
Given function:-
F(x) = x² - 6x + 10The formula for calculating the rate of change will be given as:-
[tex]ROC = \dfrac{F(x_2)-F(x_1)}{x_2-x_1}[/tex]
We have x₁ = 4 and x₂ = 8 given in the question
F(x₂) = x²₂ - 6x₂ + 10 = (8)² - ( 6 x 8 ) + 10 =
F(x₂) = 64 - 48 + 10
F(x₂) = 26
F(x₁) = x²₁ - 6x₁ + 10 = (4)² - ( 6 x 4 ) + 10 =
F(x₁) = 16 - 24 + 10
F(x₁) = 2
[tex]ROC = \dfrac{F(x_2)-F(x_1)}{x_2-x_1}[/tex]
[tex]ROC = \dfrac{26 -2}{8-4}=\dfrac{24}{4}=6[/tex]
Therefore the rate of change of the function over the interval [ 4, 8 ] will be 6.
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What is the inverse of the function f(x) = 2x + 1?
Answer:
[tex]h(x)=\frac{1}{2}x -\frac{1}{2} .[/tex]
Step-by-step explanation:
if the initial function is f(x)=2x+1, then
x=2*h(x)+1;
2h(x)=x-1;
[tex]h(x)=\frac{x}{2} -\frac{1}{2}.[/tex]
PS. change design according the local requirements.
Answer:
[tex]y^{-1} =\frac{1}{2} x-\frac{1}{2}[/tex]
Step-by-step explanation:
To find the inverse, you want to swap the inputs with the outputs, which is why you have the swapped domain and range between a function and its range.
So, given f(x)=2x+1, its inverse would give,
x=2y+1.
Solve for y,
2y=x-1 -> y=(x-1)/2 -> y=[tex]\frac{1}{2} x-\frac{1}{2}[/tex]
Therefore, [tex]y^{-1} =\frac{1}{2} x-\frac{1}{2}[/tex]
One to One Function Math Problem Help!
Answer:
g-1(x)=5×-9, (g-1g) (1)=1, h-1(3)= -
Step-by-step explanation:
Placement Assessment
A certain drug is made from only two ingredients: compound A and compound B. There are 7 milliliters of compound A used for every 4 milliliters of compound
B. If a chemist wants to make 946 milliliters of the drug, how many milliliters of compound A are needed?
milliliters of compound A
X
Time Remaining: 22:11:23 I Question 17
?
Libbi
Est
Answer:
[tex]7 469.8.56[/tex]
nossa nem sei como é bom saber se fala com a mãe e o pai do mundo e vc não tem mais nada pra comer e não tem como fazer a gente vai ficar muito tempo sem fazer a mãe dela não e vc como tá o trabalho rede de nada em casa e é só pra mim né não é fácil de fazer a mãe dela e a mãe dele tá bem né não é fácil de fazer o que vc quer que Deus quiser vai dar pra mim né e não tem como fazer d id da x não vou poder é o que eu te abençoe e ilumine e ilumine todos os dias entre?01029)
Find an angle between zero and 360 that is coterminal with 900°
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
What’s the answer ?
Answer:
a ) cylinder
b) triangular pyramid
How many Identities are there in algebra?
Name them.
Answer:
the technical number depends on what you are including to be algebraic identities.
There are multiple forms of most identities (pos. / neg. and multiple ways of writing the same identity)
generally, you can consider there to be 10
Step-by-step explanation:
algebraic identity: an equality that holds true for any variable values
standard identities:
square of binomial:
(a+b)² = a² +2ab + b²
(a - b)² = a² - 2ab + b²
difference of squares:
(a + b)(a - b) = a² - b²
----
product of two binomials:
(x + a)(x + b) = x² + (a + b)x + ab
square of trinomial:
(x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx
(x - y - z)² = x² + y² + z² -2(xy + yz - zx)
cube of binomial:
(x + y)³ = x³ + y³ + 3xy (x + y)
(x - y)³ = x³ + y³ - 3xy (x - y)
(a - b)³ = a³ - 3a²b + 3ab² - b³
sum of cubes:
a³ + b³ = (a + b)(a² - ab + b²)
x³ + y³ = (x + y)(x² - xy + y²)
x³ + y³ = (x - y)(x² + xy + y²)
difference of cubes:
a³ - b³ = (a - b)(a² + ab + b²)
x³ - y³ = (x - y)³ + 3xy(x - y)
--
x³ + y³ + z³ - 3xyz = (x + y + z)(x² + y² + z² - xy - yz - zx)
= 1/2 (x + y + z) [(x -y)² + (y - z)² + (z - x)²]
(a + b + c)³ = a³ + b³ + c³ + 3(a + b)(b + c)(c + a)
--
and
if x + y + z = 0, then x³ + y³ + z³ = 3xyz
hope this helps!!
(this took me a while to write; there are also a few complicated identities also that I've left out)
[tex]( {a + b})^{2} = {a}^{2} + {b}^{2} + 2ab \\ \\ {(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab \\ \\ {a}^{2} - {b}^{2} = (a + b)(a - b) \\ \\ {a + b + c}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca \\ \\ {a + b}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ \\ {a - b}^{3} = {a}^{3} - {b}^{3} - 3ab(a - b) \\ \\ {a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca).[/tex]
if x=-2 solve 4x^3-6x^2+x-1
Answer:
-59
Step-by-step explanation:
x = -2
4(-2)³ - 6(-2)² + (-2) - 1
= -32 - 24 - 2 - 1
= - 59
Daniel plays a shooting game in a funfair. He needs 48 points to get a skateboard. Each shot that hits the target will be given 6 points while 4 points will be deducted for every failed attempt. Daniel has already failed in three attempts. how many shots that are needed to hit the target for him to win the skateboard
Answer:
here you go
Step-by-step explanation:
no of times he failed = -3
points he losed = -3 x 4 = -12
no of times he need to hit the target to get 48 points = 6x
equation
-12 + 6x = 48
6x = 60
x = 10
no of points he will gain = 10 x 6 = 60
The standard deviation for a set of data is 9.5. The mean is 205.
What is the margin of error?
If the standard deviation for a set of data is 9.5. The margin of error is: 19.5.
Margin of errorUsing this formula
Margin of error=Standard deviation×Mean
Let plug in the formula
Margin of error=205 × 9.5%
Margin of error = 19.475
Margin of error = 19.5 (Approximately)
Therefore If the standard deviation for a set of data is 9.5. The margin of error is: 19.5.
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Which rational number is equivalent to 5.5?
Answer:
11/2
Step-by-step explanation:
Multiply by 2/2 to remove the decimal.
please answer just look at how many points i will give
Answer:
(6,2)
Step-by-step explanation:
When solving a system of simultaneous equations, we want to see where the graphs intersect.
2x+5y =22 is the red line
x+y = 8 is the green line
They intersect at a point
The point is x=6 y=2
(6,2)
If a household is saving 30% of their total bi-weekly gross pay of $2,051.00, determine how many months it will take to save a 20% down payment and 1.5% for closing costs for a property with a purchase price of $281,700.00.
45
46
54
55
(25 POINTS)
Based on the amount saved per week and the down payment of the property, the number of months it will take to save the amount is 46 months.
How long will it take for the family to save the amount?First, find out the amount saved per month:
= (30% x 2,051) x 2 payments a month
= $1,230.60
The downpayment is:
= 281,700 x 20%
= $56,340
The closing cost is:
= 1.15 x 56,230
= $843.45
The number of months till the amount is saved is:
= (56,340 + 843.45) / 1,230.60
= 46 months
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what is the variable equal to y8=40
Answer:
5
Step-by-step explanation:
We need to isolate the variable, aka make y on one side. So, if we divide 8 on both sides, it will be
y8=40
y8/8=40/8
y=5
The driving distance from Seattle to Portland is 175 miles. Your car gets 25 miles per gallon. If gasoline is $2.80 per gallon, how much will the round trip from Seattle to Portland and back cost in dollars?
Answer:
$980
Step-by-step explanation:
Given the cost of gasoline = $2.80/mile
Total Distance = 175miles x 2 (Back and forth)
= 350 miles
Total Cost = Cost of gasoline x Total Distance =
= $2.80 x 350
= $980
The total cost of the trip from Seattle to Portland and back cost in dollars will be;
⇒ $250
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The driving distance from Seattle to Portland is 175 miles.
Your car gets 25 miles per gallon and the cost of gasoline is $2.80 per gallon.
Now,
Since, The driving distance from Seattle to Portland is 175 miles.
Hence, The total distance from Seattle to Portland and back = 175 + 175
= 350 miles
And, Your car gets 25 miles per gallon and the cost of gasoline is $2.80 per gallon.
Hence, The cost of gallon = 350/25 x $2.50
= 100 x $2.50
= $250
Thus, The total cost of the trip from Seattle to Portland and back cost in dollars will be;
⇒ $250
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Which expression is equivalent to 2^5?
Answer:
the equivalent fractions for 2/5 are:
(2/5) × (2/2) = (2 × 2) / (5 × 2) = 4/10
(2/5) × (3/3) = (2 × 3) / (5× 3) = 6/15
(2/5) × (4/4) = (2 × 4) / (5 × 4) = 8/20
Answer:
4/10, 6/15, 8/20, etc.
Step-by-step explanation:
I hope you got some idea
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answer:
–6x + 15 < 10 – 5x
An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Step-by-step explanation:
When you break down -6x + 15 < 10 - 5x, you get x > 5.
Because x is GREATER than 5, when making a number line, there is an open circle on 5 and a bold line pointing to the right.
Which expression is equivalent to the given expression? 2√/20-4√6
A. 32/30
OB. 16√30
OC. 3/20
D. √120
Answer:
D.
because 2 times 120 reduced.
Anjali wrote a 30-item multiple choice exam and answered every question. She got 8 points for each correct item. She lost 2 points for each incorrect item. Her total score was 150 points. How many items did she answer correctly?
She did 21 question correctly.
Correct Answer :Let number of correct answers : x
Let number of wrong answer : y
Given, Total question wrote : 30
So,
x + y = 30 (i) - equation
Got 8 point on each correct answer, total point : 8*x
Got -2 point on each wrong answer, total point : (-2)*y
Total point she score was : 150 (given)
so, our next equation is
8*x - 2*y = 150 (ii) - equation
y = 30 - x [from (i) - equation]
put in (ii) - equation, we get
8*x - 2*(30 - x) = 150
8*x - 60 + 2*x = 150
10*x = 210
x = 21
Therefor, only 21 answers are correct.
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Which equation is made true by the opposite angles theorem? A. 40 − 2x = 85 + y B. x − 8 = 40 − 2x C. x − 8 = 3y − 15 D. 3y − 15 = 85 + y
Option B. x-8 = 40-2x is the correct equation for the opposite angle theorem.
According to the Opposite angles theorem,
Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
[tex]= > x-8=40-2x[/tex] ( : Because opposite vertex angles are equal)
So option B is correct in the given question
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Answer:
D.) 3y-15 =85+
Step-by-step explanation:
simply put, opposite angles theorem is where the angles are on the opposite side so the parallelogram in the photo shows that 3y-15 is on the opposite angle as 85+y (I also got this one right lol)
Graph h(x) = 6|x| -4
Answer:
