Answer:
Step-by-step explanation:
First, you will add 2x for both sides.
y - 2x = 3
+2x +2x
Then, you will get y = 2x + 3
So the slope will be 2
Fuaad solved an absolute value inequality and expressed the solution as -12 < x > 7. What is another way to show Fuaad’s solution?
Solution: The another way to show the Fuaad's solution is [tex]x>7[/tex].
Explanation:
It is given that the solution of an inequality is [tex]-12<x>7[/tex].
It can be break in two parts [tex]-12<x[/tex] and [tex]x>7[/tex].
The inequality [tex]-12<x[/tex] means the values of x is greater than [tex]-12[/tex] and the inequality [tex]x>7[/tex] means the value of x is greater that than 7.
When we combine both results we get [tex]x>7[/tex] it means the value of x is greater than 7.
It can also represented by number line as shown in given figure.
The number line shows the values of x and red lines shows the solution of both inequalities [tex]-12<x[/tex] and [tex]x>7[/tex].
The common region shows the combination of both the possible inequalities, therefore the another way to show the Fuaad's solution is [tex]x>7[/tex].
Answer:
C (btw its x less than 7)
Step-by-step explanation:
Becuase the first option represents that the arrows go separate ways to infin.
the second option states that one variable is greater than of equal to and the other is only <
the third correctly shows and represents the inequality
the fourth one has the OR which means a number that is plugged in only needs to satisfy one of the inequalities which is not the point.
Maya works at adventure fun park she notices that the daily number of tickets sold at the park varies with the daily high temperature what is the dependent variable in this relationship
In the given scenario, the dependent variable is the daily number of tickets sold at the adventure fun park where Maya works. This changes based on the independent variable, which is the daily high temperature.
Explanation:In the scenario where Maya works at an adventure fun park and notices a change in the daily number of tickets sold depending on the daily high temperature, the dependent variable is the daily number of tickets sold at the park. This means that the number of tickets sold relies on or 'depends on' another factor, which in this case, is the daily high temperature. The daily high temperatures are the independent variable - the variable that signifies what changes can impact the other variable, the dependent variable.
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How do i write 3x-3y=18 in function notation
In one week, Altoona, PA, and Bethlehem, PA, Received snowfall every day, Monday through Friday. On which days did Altoona receive over 1 inch more snow than Bethlehem?
Answer:
On Friday Altoona receive over 1 inch more snow than Bethlehem.
Step-by-step explanation:
Consider the provided table.
First convert all the mixed fraction in decimal form.
Monday:
Altoona: [tex]2\frac{1}{4}=\frac{9}{4}=2.25[/tex]
On Monday Altoona received snowfall 2.25 inches
On Monday Bethlehem received snowfall 2.6 inches
Altoona receive Less snow on Monday.
Tuesday:
Altoona: [tex]3\frac{1}{4}=\frac{13}{4}=3.25[/tex]
On Tuesday Altoona received snowfall 3.25 inches
On Tuesday Bethlehem received snowfall 3.2 inches
The difference of 3.25 and 3.2 is 3.25-3.2=0.05
On Tuesday Altoona received over 0.05 inch more snow than Bethlehem.
Wednesday:
Altoona: [tex]2\frac{5}{8}=\frac{21}{8}=2.625[/tex]
On Wednesday Altoona received snowfall 2.625 inches
On Wednesday Bethlehem received snowfall 2.5 inches
The difference of 2.625 and 2.5 is: 2.625-2.5=0.125
On Wednesday Altoona received over 0.125 inch more snow than Bethlehem.
Thursday:
Altoona: [tex]4\frac{3}{5}=\frac{23}{5}=4.6[/tex]
On Thursday Altoona received snowfall 4.6 inches
On Thursday Bethlehem received snowfall 4.8 inches
Altoona receive Less snow on Thursday.
Friday:
Altoona: [tex]4\frac{3}{4}=\frac{19}{4}=4.75[/tex]
On Friday Altoona received snowfall 4.75 inches
On Friday Bethlehem received snowfall 2.7 inches
The difference of 4.75 and 2.7 is: 4.75-2.7=2.05
On Friday Altoona received over 2.05 inch more snow than Bethlehem.
Hence, On Friday Altoona receive over 1 inch more snow than Bethlehem.
What is the smallest power of 10 that would exceed 234,567,890?
Questions is asking about what is the smallest power of 10 that would exceed 234,567,890.
To find that first we need to check how the powers of 10 changes the size of number. So let's find poers of 10 as shown below:
[tex]10^1=10[/tex]
[tex]10^2=100[/tex]
[tex]10^3=1000[/tex]
[tex]10^4=10000[/tex]
[tex]10^5=100000[/tex]
[tex]10^6=1000000[/tex]
[tex]10^7=10000000[/tex]
[tex]10^8=100000000[/tex]
On this pattern we see that as the exponent increases by 1 then a zero increases in the output.
In given number 234567890, there are 9 digits. So we need at least 9 zeroes which is
1000000000 or [tex]10^9[/tex]
Clearly 1000000000 exceeds 234567890.
Hence the final answer is that exponent of 10 will be 9.
solve for x x−4.76=−7
Quick I need help
x - 4.76 = -7
Add 4.75 to both sides.
x = -2.24
The value of x for the given expression will be equal to -2.24.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is x−4.76=−7. The value of x will be calculated as,
x - 4.76 = -7
Add 4.75 to both sides.
x = -2.24
Therefore, the value of x for the given expression will be equal to -2.24.
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Determine the largest integer value of xxx in the solution of the following inequality.
−4x−5>-4
Is it 20?? I'm severely confused by this question too lol.
Find the value of x. Then find the measure of each label length.
Evaluate the limit ....
It depends on how t is approaching 2.
In fact, if you consider the right limit, you have
[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{|t-2|} [/tex]
But since t is greater than 2, t-2 is positive, and thus |t-2| = t-2.
So, the limit becomes
[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{t-2} = \lim_{t \to 2^+} -1 = -1 [/tex]
On the other hand, if you consider the left limit, you have
[tex] \displaystyle \lim_{t \to 2^-} \dfrac{2-t}{|t-2|} [/tex]
But since t is less than 2, t-2 is negative, and thus |t-2| = -t+2.
So, the limit becomes
[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{-t+2} = \lim_{t \to 2^+} 1 = 1 [/tex]
So, this limit does not exist, because the left and right limits exist but are not the same.
-20=-4×-6× what does x equal
(40 points)
Which expression is equivalent to 3^2 ⋅ 3^−5?
(not giving answer choices for the best result)
Hello, The answer is 90.
because, 3x2 x 3x-5= 90
PLEASE EXPLAIN THIS TO ME
it is y cause i just did that with my student
A package of ground beef costs $6.98. The price per pound is $3.86. How many pounds of ground beef are in the package? Round to the nearest hundredth.
A. 1.81
B. .27
C. 1.80
D. 1.72
a company produces tables determines that its cost of producing and selling x tables is given by the function C(x)=50x+3000. the company is going to sell the bats for $70 per bat. how many table must be sold for the firm to break even
Cost of producing and selling x tables is given by the function C(x)=50x+3000
x is the number of tables produced
Each table is sold for $70
So selling price of x tables S(x) = 70x
Now we find the number of table must be sold for the firm to break even
Break even occurs when selling price = cost price
That is S(x) = C(x)
70x = 50x + 3000
Subtract 50x on both sides
20x = 3000
x = 150
150 tables must be sold for the firm to break even
What is 7.33, 2.66, 6.88, 4.71, 4.13, 4.77, 1.76, 3.98, 3.44, and 3.66 rounded to the nearest tenth.
7.33=7.30
2.66=2.70
6.88=6.90
4.71=4.70
4.13=4.10
4.77=4.80
1.76=1.80
3.98=4.00
3.44=3.40
3.66=3.70
hope i could help ya out!! :)
What is -8/15 as a decimal
-0.533333333
-hope this helps
Josiah traveled 196 miles on 8 gallons of gasoline.At this rate how many gallons of gasoline would he need to travel 343 miles
it is 14 because if you
Simplify |x| - |-x|.
0
2x
x2
If f(x)=x/2+8 what is f(x) when x=10
Hey there,
So the answer is 13.
The explanation is:
We are asked to find f(10), so let's evaluate this function at 10 by plugging this in for x.
So, as we know about the 10, the f(x) is going to be this- f(10).
We put f(10)= 10 over 2 + 8= 5+8 = 13
We have to flip the 8.
So you answer should be 13
Hope this helps...
-Justin0208
The cast of the school play had a party at the drama teachers house.There were 20 cookies and 40 carrot sticks served as refreshments.Each cast member had the same amount of whole carrot sticks. Nothing was left over and the drama teacher did not eat. How many cast members might have been at the party??
60/4=15 and 20/4=5 there were 4 cast members at the party and they each ate 15 carrot sticks, your welcome
The cast members might have been at the party are
20 members – each gets 1 cookie and 2 carrot sticks, or 10 – each gets 2 cookies and 4 carrot sticks, or 5 – each gets 4 cookies and 8 carrot sticks, or 4 – each gets 5 cookies and 10 carrot sticks, or 2 – each gets 10 cookies and 20 carrot sticks, or 1 – gets it all: 20 cookies and 40 carrot sticksWhat is refreshments?Something to eat or drink during an event such as a meeting or party. . A more alert and comfortable state, especially after eating or drinking.
Finally the word "refreshment". While English adapted the term in the 15th century from several Gallic sources, according to the OED it meant the physical refreshment of a person or thing by food, drink, rest, coolness, etc.
Enjoying refreshment is a welcome break in the world of the day, and it also means that we leave working time for social elements, sharing coffee improves the mood and has a uniting effect, we are better able to deal with problems that arise within the team.
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The gravitational attraction between two masses varies inversely as the square of the distance between them. If the attraction force between them is 75 lbs. when the bodies are eight feet apart, find the attraction when the masses are twelve feet apart.
a) 33 1/3 lbs. b) 50 lbs. c) 168 3/4 lbs.
Answer: Option a) 33 1/3 lbs
Solution:
Be
Attraction force (F) varies inversely as the square of the distance between them:
F=k/d^2
Constant of proportionality: k
Distance between the two masses: d
F=75 lbs when d=8 feet
Replacing in the formula above:
F=k/d^2
75 lbs=k/(8 feet)^2
Squaring in the denominator:
75 lbs=k/(64 feet^2)
Solving for k: Multiplying both sides of the equation by 64 feet^2:
(64 feet^2)(75 lbs)=(64 feet^2)[k/(64 feet^2)]
4,800 lbs*feet^2=k
k=4,800 lbs*feet^2
F=k/d^2
F=4,800 lbs*feet^2/d^2
Find the attraction when the masses are twelve feet apart:
F=?
d=12 feet
Replacing in the formula:
F=4,800 lbs*feet^2/(12 feet)^2
Squaring in the denominator:
F=4,800 lbs*feet^2 / (144 feet^2)
Dividing:
F=(4,800/48)/(144/48) lbs
F=100/3 lbs
F=(99+1)/3 lbs
F=(99/3+1/3) lbs
F=33 1/3 lbs
Final answer:
Using Newton's inverse square law for gravitational force, it is determined that the force of attraction will be a) 33 1/3 lbs when the distance between the masses is increased from 8 to 12 feet.
Explanation:
The scenario described falls under the gravitational force law stated by Isaac Newton, which is a fundamental concept in Physics. The force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them (F ∝ 1/d²). We are given that the gravitational attraction is 75 lbs when the bodies are 8 feet apart. To find the force at a distance of 12 feet, we use the inverse square law which indicates that increasing distance reduces gravitational force.
Let F1 be the initial force and d1 be the initial distance, and let F2 be the force at a new distance d2. According to the inverse square law, we have F1/F2 = (d2/d1)². Plugging in the values F1 = 75 lbs, d1 = 8 feet, and d2 = 12 feet, we get 75/F2 = (12/8)² = 2.25. Solving for F2, we find that F2 = 75 / 2.25 = 33.33 lbs.
Therefore, the gravitational attraction when the masses are twelve feet apart is 33 1/3 lbs.
What is the answer ? is 5 6 7 8 8 9 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4
I might be right or not but i am 50% sure that the answer is:
6 kilometers.
please tell me if im wrong!
Answer:
Likely 6 kilometers, sorry if I am incorrect.
Step-by-step explanation:
If this is measuring displacement, it SHOULD be 6 km
2x-1=3/4x +9 please help me solve
Hi!
[tex]2x-1=\frac{3}{4x+9}[/tex]
[tex]2x(4x+9)-1*(4x+9)=\frac{3}{4x+9}(4x+9)[/tex]
[tex]2x(4x+9)-(4x+9)=3[/tex]
[tex]2x(4x+9)-(4x+9)=3[/tex]
[tex]x=\frac{\sqrt{145-7} }{8},x=-\frac{7+\sqrt{145} }{8}[/tex]
[tex]x=\frac{\sqrt[]{145-7} }{8}, or x=-\frac{7+\sqrt{145} }{8}[/tex]
Explanation: First you had to multiply by 4x+9 from both sides. Then simplify, it gave us 2x(4x+9)-(4x+9)=3. Next you can also solve 2x(4x+9)-(4x+9)=3. And the answer it gave us is x=√145-7/8 or x=-7+√145/8 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie
Can anyone awnser 32.436÷(-4.24) as a fraction?
Hello, here are the fraction forms for this equation
Irrational fraction form; -153/20
Mixed number form; -7 13/20
Hoped this helped
The answer to 32.436 divided by -4.24 is approximately -7.65. However, the conversion of this decimal to a fraction gives us approximately -77/10.
Explanation:To answer the question, 32.436÷(-4.24) as a fraction, first, we should perform the division operation. The division of a positive number by a negative one will give a negative result. Hence, 32.436 divided by -4.24 is -7.65 approximately.
The answer as a decimal is -7.65. However, translating this decimal to a fraction isn't straightforward while keeping it a meaningful fraction, because 7.65 isn't easily expressed as a fraction. If you needed to express it as a fraction, you might round this to -77/10. But it's important to note it's an approximation, not exact.
Thus, 32.436÷(-4.24) becomes approximately -77/10 when expressed as a fraction.
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Factor the expression, show work
3x^3 - 4x^2 - 15x - 20
It can't be factored due to many reasons.
I hope this helps. :)
3x^3 - 4x^2 - 15x - 20
Cannot be factored.
Hope that helps
2 - 4(x + 7) = 3 + 2 (x + 2)
[tex]2 - 4(x + 7) = 3 + 2 (x + 2)\\\\2-4x-28=3+2x+4\\\\6x=-33\\\\x=-\dfrac{33}{6}=-\dfrac{11}{2}[/tex]
The frequency table shows the favorite college football teams of middle school students what fraction of the students choose the Sooners write the fraction as a decimal
what does the table look like
how many dots will the the sixth figure in the pattern have
The cost of gallon of orange juice is $3.50 what is the maximum number of containers you can buy for $15?
1 gallon - 3.5 $
x gallons - 15 $
X= (1×15)/3.5=4.3
You can't buy a third of gallon, so the maximum number is 4
Answer: 4 gallons
Make an equation to solve this problem. The cost of a gallon of orange juice is $3.50, so we can show this using the expression 3.50o, where o represents the number of gallons of orange juice that someone buys.
We can put the expression 3.50o into an equation, and make the expression equal to 15 because that is the amount of money you supposedly have.
3.50o = 15, divide both sides of the equation by 3.50.
o = 4.28571428571, but you cannot have a fraction or decimal of a gallon of orange juice, so we would always round these kinds of problems down to the nearest whole number.
4.28571428571 rounds down to 4 gallons of orange juice, so the answer is 4 gallons of orange juice is the maximum amount you can buy with $15.
complete the solution of the equation. fine the value of y when x equals 4.
-3x+9y=-57
y = - 5
substitute the value of x = 4 into the equation and solve for y
- 12 + 9y = - 57 ( add 12 to both sides )
9y = - 45 ( divide both sides by 9 )
y = [tex]\frac{-45}{9}[/tex] = - 5
-3(-4)+9y=-57
12+9y=-57
9y=-57-12
9y=-69
9y/9=69/9
y=-23/3