Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answer:
x≥1
Step-by-step explanation:
On a coordinate plane, how are the locations of the points (1 , -5) and (-1 , 5) related
Answer:
They are a transformation
Step-by-step explanation:
Checked using desmos graphing
fifty five thousand in standard form
Answer:
This is how it's written: 55,000
A cell phone plan costs $200 to start. Then there is a $50 charge each
month. 1. What is the total cost (start-up fee and monthly charge) to use
the cell phone for 1 month? 2. What is the total cost for x months? 3. Graph
the cost of the cell phone plan over a period of two years, using months as
the unit of time. Be sure to label your axes and scale them by labeling each
gridline with a number. 4. Is there a proportional relationship between
time and the cost of the cell phone plan? Explain how you know
Answer:
1.) $250
2.) x= 50c + 200
Step-by-step explanation:
a clothing manufacturer makes coats, shirts and slacks. The time required for The Cutting, sewing, and packaging on each item is shown in the table. How many of each should be made to use all available labor hours?
9514 1404 393
Answer:
120 coats, 200 shirts, 180 slacks
Step-by-step explanation:
If we let c, s, p represent quantities of coats, shirts, pants, respectively, then the total number of minutes required for cutting, sewing, and packaging can be expressed by ...
20c +15s +10p = 7200
60c +30s +24p = 17520
5c +12s +6p = 4080
These equations can be written in "augmented matrix" form and submitted to your friendly local matrix solver (online or on your calculator). You would ask for "reduced row-echelon form". The calculator function that accomplishes this is often called RREF. The matrix and result are ...
\(\left[\begin{array}{ccc|c}20&15&10&7200\\60&30&24&17520\\5&12&6&4080\end{array}\right]\rightarrow \left[\begin{array}{ccc|c}1&0&0&120\\0&1&0&200\\0&0&1&180\end{array}\right]\)
This means production should be of ...
120 coats, 200 shirts, 180 slacks
Which inequality is equivalent to 3+ 4/x ≥ X+2/x?
A. 2x+2/x ≥ 0
B. 2x+6/x ≥ 0
C. -x+5/x ≥ 0
D. -x +9/x ≥ 0
The inequality that is equivalent to 3+ 4/x ≥ X+2/x is 2x ≥ -2
Which inequality is equivalent to 3+ 4/x ≥ X+2/x?From the question, we have the following parameters that can be used in our computation:
3 + 4/x ≥ X+2/x
Multiply through the inequality by x
So, we have
3x + 4 ≥ x + 2
Collecting the like terms
So, we have
3x - x ≥ 2 - 4
Evaluating the like terms
So, we have
2x ≥ -2
Hence, the inequality that is equivalent to 3+ 4/x ≥ X+2/x is 2x ≥ -2
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Liam is currently twice as old as Sally. 4 years ago, Liam was three times as old as Sally. How old is Liam now?
Answer:
16
Step-by-step explanation:
L = 2 * S
L-4 = (S-4) * 3
L-4 = 3S - 12
L = 3S - 8
2S = 3S - 8
-S = -8
S = 8
L = 16
Answer:
16
Step-by-step explanation:
Please help me!! I will try to give brainliest
Andre brought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was brought.
Estimate 193x47 by first rounding each number so that it has only 1 nonzero digit.
Whoever answers gets brainlist!
Answer:
The answer would be A) 25
Step-by-step explanation:
Subtract 420 by 45 which is 375. The you just Divide 375 by 15 which is 25
Hope this helps! :)
Tell me if i am right or wrong!
Answer:
25
Step-by-step explanation:
because 420-45= 375÷15=25
NO LINKS!! Please help me with these problems. Exponential.
Answer:
f(x) = 10400·(1/4)^x; table values: x = -1, f(x) = 162.5g(x) = 1.8·2.4^xIncorrect for b < 1.Step-by-step explanation:
You want to write exponential functions through the given points.
1. TableThe exponential function ...
f(x) = a·b^x
will have the values ...
f(0) = af(1) = ab ⇒ b = f(1)/f(0)Using these relations we can write the function from the table values:
f(x) = 10400·(2600/10400)^x
f(x) = 10400·(1/4)^x
Then your table is ...
\(\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7}\vphantom{\dfrac{b}{g}}x&-1&0&1&3&4&6\\\cline{1-7}\vphantom{\dfrac{b}{g}}f(x)&41600&10400&2600&162.5&40.625&2.5390625\\\cline{1-7}\end{array}\)
2. PointsUsing the given points in the exponential function form, we have ...
4.32 = a·b^1
59.71968 = a·b^4
Dividing the second equation by the first, we find ...
59.71968/4.32 = b^3 ⇒ b = 2.4
Using this in the first equation, we get ...
4.32 = a·2.4 ⇒ a = 1.8
The equation of the function is ...
g(x) = 1.8·2.4^x
3. IncreasingThe exponential function ...
y = a·b^x . . . . . . a > 0, b > 0
will be increasing when the growth factor (b) is greater than 1. When 'b' is less than 1, the function will be decreasing.
Sarah's belief is incorrect.
Answer:
\(\textsf{1.} \quad f(x)=10400(0.25)^x\)
(-1, 41600) and (3, 162.5)
\(\textsf{2.} \quad g(x)=1.8(2.4)^x\)
3. Sarah is incorrect.
Step-by-step explanation:
\(\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$f(x)=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}\)
Question 1The y-intercept is when x = 0.
Therefore, from inspection of the given table, the y-intercept is 10400:
\(\implies a=10400\)
Substitute point (1, 2600) and a = 10400 into the exponential function and solve for b:
\(\implies 2600=10400b^1\)
\(\implies 2600=10400b\)
\(\implies b=\dfrac{2600}{10400}\)
\(\implies b=0.25\)
Therefore, the equation of the function is:
\(\boxed{f(x)=10400(0.25)^x}\)
Find the value of x when f(x) = 41600:
\(\begin{aligned} f(x)&=41600\\\implies 10400(0.25)^x&=41600\\(0.25)^x &=\dfrac{41600}{10400}\\(0.25)^x &=4\\\ln (0.25)^x &=\ln 4\\x \ln (0.25)&=\ln 4\\x&=\dfrac{\ln 4}{\ln (0.25)}\\x&=-1\end{aligned}\)
Find the value of f(x) when x = 3:
\(\begin{aligned}x=3 \implies f(3) & =10400(0.25)^3\\& =10400(0.015625)\\& = 162.5\end{aligned}\)
Therefore, the completed table is:
\(\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7} \vphantom{\dfrac12}x & -1 & 0 & 1 & 3 & 4 & 6\\\cline{1-7} \vphantom{\dfrac12}f(x) &41600 &10400 &2600 &162.5 &40.625 & 2.5390625\\\cline{1-7} \end{array}\)
Question 2Given points:
(1, 4.32)(4, 59.71968)Substitute the given points into the exponential formula g(x) = abˣ
\(\implies ab=4.32\)
\(\implies ab^4=59.71968\)
To find b, divide the equations:
\(\implies \dfrac{ab^4}{ab}=\dfrac{59.71968}{4.32}\)
\(\implies b^3=13.824\)
\(\implies b=\sqrt[3]{13.824}\)
\(\implies b=2.4\)
Substitute one of the points and the found value of b into the equation and solve for a:
\(\implies 2.4a=4.32\)
\(\implies a=\dfrac{4.32}{2.4}\)
\(\implies a=1.8\)
Therefore, the equation of the function is:
\(\boxed{g(x)=1.8(2.4)^x}\)
Question 3Sarah is incorrect. For an exponential function in the form a · bˣ:
If a > 0 and b > 1 then it is an increasing function.If a > 0 and 0 < b < 1 then it is a decreasing function.Can you please tell me the sum of the question
Answer:
B) \(4i\sqrt{2}\)
Step-by-step explanation:
\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)
A student bikes 5000 m East to school in 30.0 min (1800 seconds), realizes he forgot his calculator for physics, spends 30.0 min (1800 seconds) going back going home, and then races back to school in 27.0 minutes (1620 seconds).
What is the student’s total distance traveled?
_______ meters
The number of seconds it took the student to travel back and forth is ________
seconds.
Determine the student’s average speed. ________
m/s
The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.
What is the speed?We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.
The total distance that the student travelled can be obtained from;
5000 m + 5000 m + 5000 m
= 15000 m
The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds
= 5220 second
Speed = Distance/ Time
= 15000 m/5220 second
= 2.87 m/s
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What is the meaning of "each partition P of X defines an equivalence relation on X"?
The statement indicates that when a set X is partitioned, each partition forms an parity relation by grouping together rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.
The statement" each partition P of X defines an parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an parity relation on the original set X.
An parity relation is a relation that satisfies three parcels reflexivity, harmony, and transitivity. In the environment of partitions, when a set X is divided into subsets, each partition forms an parity relation by grouping together rudiments that partake a common characteristic or property.
Within each partition, the rudiments are considered original or affiliated to each other, and they're distinct from rudiments in other partitions. The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.
It implies that different partitions may live grounded on different criteria or conditions for grouping rudiments.
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find the slope between (2,3) and (8,-5)
The slope of the line will be equal to -4/3.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.
Given that the two points are (2,3) and (8,-5). The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -5 - 3 ) / ( 8 - 2 )
Slope = -8 / 6
Slope = -4 / 3
Therefore, the slope of the line will be equal to -4/3.
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What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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The gasoline consumption of a small car is advertised as 16.3 km/L (1L=1liter). How many miles per gallon is this? One mile is 1.609 km and one gallon is 3.788 L.
Answer:
38.38 miles per gallon
Step-by-step explanation:
16.3 km/L to miles per gallon
1 mile = 1.609 km
16.3 km = 16.3/1.609 = 10.13 miles
1 gallon = 3.788 L
1 L = 1/3.788 = 0.2639 gallon
therefore,
16.3 km/L = 10.13/0.2639 = 38.38 miles per gallon
if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic
The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))
To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.
The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.
The total number of possible arrangements is given by the factorial of the total number of letters:
Total arrangements = 10!
However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:
Total arrangements = 10! / (2!)
To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.
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Pls helpppppp meeee
im so confused
Refer to the pie graph that shows the world’s languages and the percentages of the population that speak them.
What percentage of the world’s population does not speak either French or German?
By answering the above question, we may state that Hence, neither expressions French nor German are spoken by nearly 97.7% of the world's population.
what is expression ?In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.
In the image you included, a pie chart illustrating the distribution of the global languages spoken by the entire population can be seen.
We need to figure out what portion of the world's population does not speak either French or German in order to respond to your query.
Around 1.2% of the world's population speaks French, according to the pie chart, and 1.1% speaks German, according to the same data.
Hence, it is possible to determine the proportion of people on Earth who do not speak either French or German as follows:
German: 1.1%; French: 1.2%; 100% = 97.7%
Hence, neither French nor German are spoken by nearly 97.7% of the world's population.
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A market trader asks 500 for some cloth. a woman offers 1200, after bargaining they agree a price half way betweeb the two starting prices
Answer:
850
Step-by-step explanation:
To find the midpoint just find the average between the two
1700/2=850
2x+y+2z=2
2x-7y-8z=-2
-2x+4y+3z=8
Answer:
0
Step-by-step explanation:
forgotten sorry
Suppose that the function g is defined, for all real numbers, as follows.
The graph of the piecewise function is given by the image presented at the end of the answer.
What is a piece-wise function?A piece-wise function is a function that has different definitions, depending on the input of the function.
All the three definitions of the function in this problem are constant, hence the graph will be composed by horizontal lines.
The definitions are given as follows:
y = 2 to the left of x = 0.y = -1 at x = 0.y = -3 to the right of x = 0.More can be learned about piece-wise functions at brainly.com/question/19358926
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The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Ben's car gets 24 miles to each gallon of gasoline. Tina's car gets 20 miles to get the gallons of gasoline. While driving from Hartdale to Lawton, they each used the same number of gallons of gas. What is the least number of miles that could be the distance between Hartdale and Lawton?
It 1 because it dvide 20/24
The least distance between Hartdale and Lawton is 120 miles.
What is LCM ?LCM is the least common multiple for two or more tahn two given no.
According to the given question Ben's car gets 24 miles to each gallon of gasoline and Tina's car gets 20 miles to get the gallons of gasoline.
While driving from Hartdale to Lawton, they each used the same number of gallons of gas. What is the least number of miles that could be the distance between Hartdale and Lawton.
To find the least no. of miles between Hartdale and Lawton we have to take LCM of 20 and 24 which is 120.
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The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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Help me please i beg u
Answer:
ok first answer for how much would 4 6 packs of juice would be $14.4 then second is how much would 8 pack of 6 cranberry juice would be $28
8 and last the answer is 3.6
Answer:
4 6 packs would cost 14.4
8 6 packs would cost 28.8
one can would cost 0.6 dollars, or 60 cents.
Step-by-step explanation:
Sushil, Alex and Peter share some sweets in the ratio 3:2:5. Sushil gets 24 sweets. How many sweets are there altogether?
Answer:
80 sweetsStep-by-step explanation:
\(Sushil: Alex: Peter\\\:3\:\:\:\:\:\:\: \:\:\:\::\:\:2\:\:\:\:\::\:5\\\\Sushil = 24 \:sweets\)
Let the total number of sweets be x
\(3+2+5 =10\\\\=\frac{3}{10} \times x =24\\\\\frac{3x}{10} =\frac{24}{1} \\\\Cross\:Multiply\\\\3x\times 1 = 24\times 10\\\\3x = 240\)
Divide both sides of the equation by 3
\(\frac{3x}{3} = \frac{240}{3} \\\\x =80\:sweets\)
URGENT
in the first month that moiras marmalade stand was open, moira sold 145 jars of marmalade. In the second month, Moira sold 203 jars of marmalade. write the number she sold in the second month as a percentage of the number sold in the first month
Therefore, Moira sold approximately 140% as many jars in the second month compared to the first month. This means the number of jars sold in the second month was 140% of the number sold in the first month.
To find the second month's sales as a percentage of the first month's sales, we need to divide the number of jars sold in the second month by the number sold in the first month and then multiply by 100 to get the percentage.
Number of jars sold in the second month: 203
Number of jars sold in the first month: 145
Percentage of second month's sales = (203 / 145) * 100 ≈ 140%
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