Decide what values of the variable cannot be solutions for the equation. Do not solve.
\(\frac{1}{4x} -\frac{2}{x} = 3\)
\(\frac{a}{b} \\\\b\neq 0\)
Answers
Related Questions
2x+22=5x-20, i need help with the steps and the answer. i suck at these :/
Answers
Answer:
x=14
Step-by-step explanation:
2x+22=5x-20
First, subtract 2x from both sides
22=3x-20Then add 20 to both sides
42=3xThen divide by 3 to both sides
14=x
Check your answer:
2(14)+22=5(14)-2050=50What is the opposite reciprocal of 2/3?
Answers
Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.
Step-by-step explanation:
Find the value of x that makes each sentence true.
If (5 1/5)^5=25x then x =
If (8 1/3)^2= 4x, then x =
Answers
The first equation is:
(5 1/5)^5 = 25x
To solve for x, we need to simplify the left side of the equation first.
(5 1/5)^5 = (5 + 1/5)^5 = 6^5 = 7776
So,
7776 = 25x
Therefore,
x = 7776/25 = 311.04
For the second equation:
If (8 1/3)^2 = 4x, then x =
We need to simplify the left side of the equation first.
(8 1/3)^2 = (8 + 1/3)^2 = 9^2 = 81
So,
81 = 4x
Therefore,
x = 81/4 = 20.25
So the values of x that make each sentence true are 311.04 and 20.25, respectively.
Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
Answers
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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Afla 3 numere naturale știind ca produsul primelor doua este 54, produsul ultimelor doua este 12,iar suma dintre primul și al treilea este 11
Answers
Answer:
Cele 3 numere naturale sunt:
Primul număr = a = 9
Al doilea număr = b = 6
Al treilea număr = c = 2
Step-by-step explanation:
Fie cele 3 numere naturale reprezentate ca:
Primul număr = a
Al doilea număr = b
Al treilea număr = c
Produsul primelor două este de 54
a × b = 54
ab = 54 ...... Ecuația 1
a = 54 / b
Produsul ultimelor două este 12
b × c = 12
bc = 12 ........ Ecuația 2
c = 12 / b
Suma primului și celui de-al treilea este 11
a + c = 11 ...... Ecuația 3
Înlocuim
54 / b pentru a și 12 / b pentru c
54 / b + 12 / b = 11
54 + 12 / b = 11
Cross Multiply
66 / b = 11
11b = 66
b = 66/11
b = 6
Rezolvarea pentru un
a = 54 / b
a = 54/6
a = 9
c = 12 / b
c = 12/6
c = 2
Prin urmare, cele 3 numere naturale sunt:
Primul număr = a = 9
Al doilea număr = b = 6
Al treilea număr = c = 2
what are the answers of 3 equivalent ratios of 24:12
Answers
Answer:
2:1
6:3
8:4
Step-by-step explanation:
24 divided by 12 is 2, so equivalent ratio should also be 2
2 divided by 1 is 2
6 divided by 3 is 2
8 divided by 4 is 2
xy= 20 can be read as
Answers
Answer:
the product of two numbers is 20; it is multiplication so that is why the end result is a product
Step-by-step explanation:
Answer:
the product of two number is twenty
Step-by-step explanation:
when two variables are put together without anything
like
ab
tn
it means multiply
so
ab=a*b
tn=t*n
and what a multiplication produces is a product so 20 is the product
Help meeeeeeeeeeeeeeeeeeee
Answers
Answer:
I believe it is y=1x or y=x
Answer:
14
Step-by-step explanation:
The constant of proportionality is the y number when x is 1. Look on the bottom of the graph. Find 1, so up to the line and then across left to the y axis. you will be at 14. This means that every time the x increases by 1, the increases by 14
Is this a parallelogram and why?
Answers
Answer:
Yes, it's a parallelogram bcz the opposite sides are parallel and equal.
mark is trying to remeber is account number his account has 6 digits he knows that the 6 digit are 2,3,5,7,8 and 9 but he cant rember the sequen in the correct order how many possible ways are there for mark to find the correct order
Answers
Answer:
720
Step-by-step explanation:
Formula: P (n,r) = n! ÷ (n - r)!
n = Total number of objects in a set
r = The number of items you choose
Mark knows the account number includes the numbers 2,3,5,7,8, and 9. There are obviously 6 numbers in total in this set and 6 he must choose in order to have a 6 digit account number, which the problem also directly states he has.
That means P(n,r) = P(6,6)
!/Factorial = Product of all positive numbers less than or equal to the given positive number
Therefore, 6! = 1 x 2 x 3 x 4 x 5 x 6
P (n,r) = P(6,6) = 6! ÷ (6-6)! = 720
Select a point not on the line. Show that the ordered pair represented by this point is not a solution of the equation 8x + y = 200.
Answers
(5, 40) is not on the line.
Equation: 8x + y = 200.
Plug in our choosen point: 8(5) + (40) = 200.
Mulitply: 40 + 40 = 200
Add: 80=200
Answer: 80≠200
This works for your problem.
can you help me with this
Answers
The result of the definite double integral over the interval is given as follows:
\(\int\int_D f(x,y)dxdy = -120\)
How to solve the double integral?The double integral is solved in two steps, first the inner integral is solved, and then the result of the inner integral is used to calculate the outer integral.
Considering the function and the region, the complete integral in this problem is given as follows:
\(\int_{-4}^{2}\int_{-4}^{2} (3x + y)dxdy\)
Then the inner integral in this problem is given as follows:
\(I = \int_{-4}^{2} (3x + y)dx\)
We are integrating the variable x, then the variable y is a constant, as thus the result is given as follows:
I = 1.5x² + xy, from x = -4 to x = 2.
Then, applying the Fundamental Theorem of Calculus, the result is given as follows:
I = 1.5(2)² + 2y - 1.5(-4)² + 4y = 6y - 18.
Then the outer integral is calculated as follows:
\(O = \int_{-4}^{2} 6y - 18\)
Then the result is given as follows:
O = y² - 18y, from y = -4 to y = 2.
O = (2)² - 18(2) - (-4)² + 18(-4)
O = -120.
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ou’re shopping for a jacket online and find one you like for €110.50 Euro, which is
equal to $125 U.S.
a. What is worth more, $1 U.S. or €1 Euro? Explain.
b. Fill in the blanks. Show how you arrive at your answers.
$1 U.S. ≈ €____________________ Euro €1 Euro ≈ $____________________ U.S.
c. You see the same jacket on another site for ₱ 2,000 Mexican Pesos. Use the fact that $1
U.S. is about ₱ 20.66 Mexican Pesos to determine whether this is cheaper than $125 U.S.
Show how you arrive at your answer.
7. The current average cost of gas in Italy is €1.726 Euro per liter. What is this cost in
U.S. Dollars per gallon? Use your answer to Problem #6b and the fact that there are
about 0.26 gallons in 1 liter.
75
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b. To fill in the blanks, we need to use the given conversion rate of €1 Euro = $1.13 U.S. and reciprocate it to find $1 U.S. ≈ €0.885 Euro. Using this conversion rate, we can find that:
$1 U.S. ≈ €0.885 Euro
€1 Euro ≈ $1.13 U.S.
c. To determine whether the jacket is cheaper when priced in Mexican Pesos, we need to convert the price to U.S. dollars using the given exchange rate of $1 U.S. = ₱20.66 Mexican Pesos.
The price of the jacket in Mexican Pesos is ₱2,000. To convert this to U.S. dollars, we divide by the exchange rate:
₱2,000 ÷ 20.66 = $96.89 U.S.
Since $96.89 U.S. is less than $125 U.S. (the price of the jacket in the first website), the jacket priced in Mexican Pesos is cheaper.
7. To convert from Euro per liter to U.S. Dollars per gallon, we need to use the conversion factors from Problem 6b and the fact that there are approximately 3.785 liters in one gallon. First, we can convert from Euro per liter to U.S. dollars per liter by multiplying the cost in Euro per liter by the conversion rate:
€1.726 Euro/L × $1.13 U.S./€1 Euro ≈ $1.95 U.S./L
Then, we can convert from US dollars per liter to U.S. dollars per gallon:
$1.95 U.S./L ÷ 3.785 L/gallon ≈ $0.52 U.S./gallon
Therefore, the cost of gas in Italy is approximately $0.52 U.S. per gallon.
b. To fill in the blanks, we can use the given exchange rate of €110.50 Euro = $125 U.S.:
$1 U.S. ≈ €0.884 Euro
€1 Euro ≈ $1.129 U.S.
c. To determine if ₱ 2,000 Mexican Pesos is cheaper than $125 U.S., we need to convert the price in Mexican Pesos to U.S. dollars. We can use the exchange rate provided:
$1 U.S. ≈ ₱20.66 Mexican Pesos
So, ₱ 2,000 Mexican Pesos is:
₱ 2,000 / ₱20.66/$1 U.S. = $96.89 U.S.
Since $96.89 U.S. is less than $125 U.S., the jacket on the other site is cheaper.
d. To determine the cost of gas in U.S. dollars per gallon, we need to convert the cost in Euros per liter to U.S. dollars per gallon. We can use the exchange rate:
$1 U.S. ≈ €0.884 Euro
There are 0.26 gallons in 1 liter, so we can convert the cost per liter to cost per gallon:
€1.726 Euro / 1 liter * $1 U.S. / €0.884 Euro * 0.26 gallons / 1 liter = $8.12 U.S. per gallon
Therefore, the cost of gas in Italy is about $8.12 U.S. per gallon.
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y=-2x+30
B. y=2x+30
C. y=-2x-30
D. y=2x-30
Answers
The linear equation that represents the hours Yuson has left after x days is (A) y = -2x + 30
Given in question,
Hours she should complete = 30 hours
Hours she complete each day = 2 hours
Hours completed in x days = 2x
Hours left after x days = 30 -2x
Hence, the linear equation that represents the hours Yuson has left after x days is y = -2x + 30.
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In ΔABC, b = 35 inches, c = 31 inches and ∠A=162°. Find the length of a, to the nearest inch.
Answers
The side a = 65.19 approximately to two decimal places using the cosine rule.
What is the cosine rule?In trigonometry, the cosines rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
Considering the ∆ABC, line a is calculated with cosine rule as follows;
a² = b² + c² - 2(b)(c)cosA
a² = 35² + 31² - 2(35)(31)cos162°
a² = 1225 + 961 + 2063.7926
a² = 4249.7926 {take square root of both sides}
a = 65.1904
With proper application of the cosine rule, we can conclude the value of the side a of the triangle ABC is approximately 65.19 to 2 decimal place.
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What is the equation of the line shown in the graph below?
y = 2x + 1
y = x + 1
y = -2x + 1
y = 2x - 1
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
The results of a poll show that between 74% and 82% of consumers prefer Chip A to Chip B. What is the point estimate for the percent of consumers that prefer Chip A to Chip B?
74%
78%
82%
8%
Answers
Answer:
78%
Step-by-step explanation:
First of all, the point estimate is a value located in between the upper confidence limit and the lower confidence limit, it identifies a point in some parameter space.
This question provides us with an interval estimate which is a range of values used to estimate a population parameter.
Interval Estimate = 74% to 82%
74% = Lower confidence limit
82% = Upper confidence limit
Point estimate = middle value
= \(\frac{74+82}{2}=\frac{156}{2}\)
= 78%
Write an expression for the area of the figure.
Answers
Area of A = \(8 \cdot 2x = 16x\)
Area of B = \(8 \cdot x = 8x\)
Area of shape = Area of A + Area of B = \(16x + 8x\)
The area of the figure can be given from the expression 24x
What is the Area of a Rectangle?
The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
The entire figure can be split into 2 figures of different length and width
Let the top figure be A and the bottom figure be B
So , Area of the figure = Area of A + Area of B
Now , the Length of B = 16
Width of B = x
Area of B = Length of B x Width of B
So , Area of B = 16x
And from figure , we can conclude that
Length of A = 16 - 8
= 8
And Width of B = x
Area of B = Length of B x Width of B
So , Area of B = 8x
Therefore , total area of figure = Area of A + Area of B
= 16x + 8x
= 24x
Hence , the area of the figure is 24x
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What is the first step in evaluating the expression shown below?
12
÷
(
7
.
4
−
3
.
6
)
+
8
−
2
Answers
Answer:
Step-by-step explanation:
The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.
Step 1: Evaluate the expression inside the parentheses.
7.4 - 3.6 = 3.8
After evaluating the expression inside the parentheses, the expression becomes:
12 ÷ 3.8 + 8 - 2
Step 2: Perform the division.
12 ÷ 3.8 = 3.158
After performing the division, the expression becomes:
3.158 + 8 - 2
Step 3: Perform the addition and subtraction from left to right.
3.158 + 8 = 11.158
11.158 - 2 = 9.158
Therefore, the value of the given expression is approximately 9.158.
The first step is:
⇨ parenthesesWork/explanation:
The expression is:
12 ÷ (7.4 − 3.6) + 8 − 2
Let's recall the order of operations first:
order of operations = PEMDASPEMDASParenthesesExponentsMultiplicationDivisionAdditionSubtractionSo we evaluate
\(\sf{12\div(7.4-3.6)+8-2}\)
\(\sf{12\div3.8+8-2}\)
Next, division:
\(\sf{3.158+8-2}\)
Next, addition & subtraction:
\(\sf{9.158}\)
Hence, the first step is to evaluate the parentheses.Which triangle could be drawn as it is described ?
Answers
Answer: D
Step-by-step explanation:
Step-by-step explanation:
The side measures of choices A and C do not form a triangle of any sort.
The angle measures of choice B mean the remaining angle is ...
180° -110° -35° = 35°
Two of the angles are the same measure, so the triangle will be isosceles, not scalene. No scalene triangle can be formed with those angle measures.
__
The angle measures of choice D mean the remaining angle is ...
180° -20° -80° = 80°
Two of the angles are the same measure, so an isosceles triangle can be formed as described in choice D.
If u get right I’ll give brainlest
Answers
Answer:
red/pink: l = V/wh
Step-by-step explanation:
Divide both sides by wh.
Find the length of side X in simple radical form with a rational denominator
Answers
The length of side X in simple radical form with a rational denominator is 10/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 2 × 5/√3
Hypotenuse, x = 10/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Which equation represents the line that passes through -8,11 and (4,7/2)?
Answers
Answer:
y = -5/8x + 6
Step-by-step explanation:
There are 750ml of juice I drank 1/3 and my sister drank 2/5 of the total amount How many ml did my sister and I drink altogether
Answers
Math question.............
Answers
Answer:
m<1= 96 ; m<2=84
Step-by-step explanation:
\(3x + x + 52 = 180(linear \: pair) \\ 4x + 52 = 180 \\ 4x = 180 - 52 \\ 4x = 128 \\ x = 128 \div 4 \\ x = 32 \\ hence \: x = 32 \\ 3x = 3 \times 32 \\ 3x = 96 \\ \)
\(x + 52 = 32 + 52 \\ = 84\)
\( \\ \\ to \: check \\ 3x + x + 52 = 180 \\ 96 + 84 = 180\)
\(hope \: it \: helps... \: \\ pls \: mark \: it \: as \: brainliest\)
Answer:
Step-by-step explanation:
what he said
Find the perimeter of the triangle.
Answers
9514 1404 393
Answer:
84 in
Step-by-step explanation:
The Pythagorean theorem is used to find the length 'b'.
b^2 +12^2 = 37^2
b = √(37^2 -12^2) = √1225 = 35
Then the perimeter is the sum of side lengths:
P = a + b + c = 12 + 35 + 37
P = 84 . . . inches
Answer:
in triangle
b=√(37²-12²)=35
perimeter of the triangle.=sum of all side
=37+12+35=84in
There are three one day cricket matches between India and Australia in a week 6359 people watch with the first match 8531 people watch the second match and 10027 watch the 3rd match how many people in all watch the three matches
Answers
Match 2=8531
Match 3=10027
Add all of them together and u get 24,917 which is your answer
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION??
Answers
Answer:
B. 3/5
Step-by-step explanation:
Supóngase que el 2% de la población en promedio son zurdos. La probabilidad que en 100 personas haya 3 o más zurdos es
Answers
The probability of 3 or more deaf people in a sample of 100 is given as follows:
0.3633 = 36.33%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of the parameters for this problem are given as follows:
p = 0.02, n = 100.
The probability of 3 or more deaf people are given as follows:
P(X >= 3) = 1 - P(X < 3).
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Hence:
P(X = 0) = 0.98^100 = 0.1326.P(X = 1) = 100 x 0.02 x 0.98^99 = 0.2707.P(X = 2) = 99 x 50 x 0.02² x 0.98^98 = 0.2334.Thus:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
P(X < 3) = 0.1326 + 0.2707 + 0.2334
P(X < 3) = 0.6367.
P(X >= 3) = 1 - P(X < 3).
P(X >= 3) = 1 - 0.6367.
P(X >= 3) = 0.3633.
TranslationWe suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.
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Which list contains only values equivalent to 3/10
A. 0.03, 3%, 3/100
B. 0.03, 30%, 30/100
C. 0.3, 3% 3/100
D. 0.3, 30%, 30/100
Answers
Answer:
C
Step-by-step explanation: