We get that the solution for this inequalities will be x ≤ - 4.5.
We are given the inequalities:
- 2 x - 3 ≥ 6 or 3 ( x - 4 ) < - 6
For - 2 x - 3 ≥ 6:
Add 3 to both sides:
- 2 x - 3 + 3 ≥ 6 + 3
- 2 x ≥ 9
Divide both sides by - 2
- 2 x / - 2 ≤ 9 / - 2
x ≤ - 4.5
For 3 ( x - 4 ) < - 6:
Divide both sides by 3
x - 4 < - 6
Add 4 to both sides:
x - 4 + 4 < - 6 + 4
x < - 2
We get
x ≤ - 4.5 or x < -2
x will then be:
x ≤ - 4.5
Therefore, we get that the solution for this inequalities will be x ≤ - 4.5.
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Can anyone help me to solve this?
Answer:
f(1/x) = (7x+3)/(2x+6)
g(x-2) = √(x² -13x +22)
Step-by-step explanation:
Given equations for f(x) and g(x), you want to find simplified equations for f(1/x) and g(x-2).
F(1/x)Substituting the argument for the variable, we have ...
[tex]f\left(\dfrac{1}{x}\right)=\dfrac{3\cdot\dfrac{1}{x}+7}{6\cdot\dfrac{1}{x}+2}\\\\\boxed{f\left(\dfrac{1}{x}\right)=\dfrac{7x+3}{2x+6}}[/tex]
G(x-2)Substituting the argument for the variable, we have ...
[tex]g(x-2)=\sqrt{(x-2)^2-9(x-2)}=\sqrt{x^2-4x+4-9x+18}\\\\\boxed{g(x-2)=\sqrt{x^2-13x+22}}[/tex]
You spend 15 minutes doing homework. You spend 3 hours watching television. Write the ratio of the amount of time spent doing homework to the amount of time
watching tv as a fraction in simplest form
The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
The time spent on doing the homework is 15 minutes.The time spent watching television is 3 hours.To calculate the ratio, we must have the same units for both quantities.We have to convert the time spent watching television from hours to minutes.1 hour is 60 minutes.3 hours has 3*60 minutes.3 hours have 180 minutes.So, the time spent watching television is 180 minutes.The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.We need to simplify the fraction.15/180 is equal to 1/12.Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.To learn more about fractions, visit :
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EUREKA MATH
A1 M1 TB Lesson 1
5. Ana sells T-shirts and sweatshirts for the soccer team. The price of one sweatshirt is $10 more
than the price of one T-shirt. She sells 50 T-shirts and 40 sweatshirts for a total of $1480. What
is the price of one T-shirt? What is the price of one sweatshirt?
The price of the T-shirt is $ 12
The price of the Sweatshirt is $ 22
Let the Price of a T-shirt is $x, then the Price of a Sweatshirt is $(x+10)
In The Given Question, 50 T-shirts and 40 Sweatshirts are sold at $1480
Then,
50x + 40(x+100) = 1480
50x + 40x + 100 =1480
90x + 400 = 1480
90x = 1480 - 400
90x = 1080
x= [tex]\frac{1080}{90}[/tex]
x = 12
The price of the T-shirt is $ 12 and the Price of the Sweatshirt is $ 22
The price of the T-shirt is $ 12
The price of the Sweatshirt is $ 22
A price is the amount of money that is (often not negatively) exchanged from one party to another in exchange for their goods or services. The cost of production may go by another name in some circumstances. If a product is classified as a "good" in a commercial exchange, its price is most likely to be referred to as such. However, there will be alternative titles for this thing if it is a "service." For instance, the graph at the bottom will display various circumstances.
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The weight for 13 cartons of meat is 32.5kg. What will be the weight of 4 similar cartons of meat?
Answer:
8.125 i think im not to sure
Step-by-step explanation:
please helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
D
Step-by-step explanation:
I used the Distributive Property of Exponents. This property states that (xy)^n=x^n * y^n. It distributes the power to all the values in the base.
Hence (2x)^6=2^6 * x^6==> D
Answer:
Step-by-step explanation:
The difference between two numbers is 25. The smaller number is th of the larger number. What is the value of the smaller number?
Answer:
I think the question is incomplete!
Step-by-step explanation:
But the answer might be 5!
Math on the Spot There are tiger barbs in a aquarium and giant danios in a aquarium. Write a numerical expression to represent the greatest total number of fish that could be in both aquariums. Use the rule and the table to solve this problem. The rule for the number of fish in an aquarium is to allow of water for each of length.
Math on the Spot There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium. Write a numerical expression to represent the greatest total number of fish that could be in both aquariums. Use the rule and the table to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of length.
Good Question (121)
Answer
4.8
(418) votes
Easy to understand (87)Write neatly (86)Help me a lot (68)Clear explanation (64)Excellent Handwriting (51)Correct answer (25)Detailed steps (23)
A numerical expression to represent the greatest total number of fish that could be in both aquariums is Number in Tiger barb + number in giant danios.
The Greatest number of fishes that could be in both aquariums is 14.
We are given that;
Tiger barbs = 30 gallon aquarium
Giant danios = 20 gallon aquarium
Tiger barb = volume / length
Tiger barb = 30 / 3
Tiger barb = 10 fishes
Giant danios = volume / length
Giant danios = 20 /5
Giant danios = 4 fishes
Numerical expression is:
Number in Tiger barb + number in giant danios
= 10 + 4 = 14
Therefore, the correct numerical expression that represents the greatest total number of fish that could be in both aquariums is Number in Tiger barb + number in giant danios.
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Your question was incomplete. Please refer the content below:
There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium
Use the rule to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of length.
Giant Danio=5 inch length
Tiger barb=3 inch length
What is the correct numerical expression that represents the greatest total number of fish that could be in both aquariums?
|p+6|=-5 I NEED HELP PLEASE
Suppose Kenny has 25 coins in nickels and dimes only and has a total of $1.65. How many of each coin does he have?
Answer: There are 17 nickels and 8 dimes
5x100+4x10+6x1+2 x 1 10th + 8 x 1 1000th
Step-by-step explanation:
500+40+6+220+88000=
88766
Solve the equation showing ALL steps, and check for extraneous solutions.
2|2 - 4x| = 2x + 6
ok 2ke9192hehbrhejejjehrge
Evaluate (10 – 4i) ÷ (5 + i).
Fifty-four twelfths minus fifteen twelfths i
Twenty-three twelfths minus fifteen twelfths i
Fifty-four thirteenths minus fifteen thirteenths i
Twenty-three thirteenths minus fifteen thirteenths i
The quotient of the given complex number is 7/13 - 15/13i
Given the division expression
(10 – 4i) ÷ (5 + i).
This can also be expressed as:
10-4i/5+i
On rationalizing, we will have:
10-4i/5+i * 5-i/5-i
50-10i-20i-4(-1)/25-(-1)
50-30i+4/26
54-30i/26
27/13 - 15/13i
Hence the quotient of the given complex number is 7/13 - 15/13i
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Answer: D [tex]\frac{23}{13} - \frac{15}{13} i[/tex]
Step-by-step explanation:
3(−5.8 + w) = 22.62
w = −1.3
w = 1.3
w = 5.6
w = 13.34
hurry pls
David's brother wants him to
build a pool deck which will
take 8 days to complete. His
brother will pay him in one of
two ways. David can earn $70
a day or start with $3 for the
first day and double his pay
each day plus $3. Which
payment method should David
select?
what is the prevention of corruption finish give my answer to me
.
By how many degrees did the temperature change overall?
Answer:
23
Step-by-step explanation:
because that is the answer I think
Answer:
23degrees
Step-by-step explanation:
Because that is what I think and l haven't learned much but I think it's 23 degrees
Kevin worked his 40 regular hours last week, plus 4 hours at the time-and-a-half rate. His gross pay was $756. What was his hourly rate?
Kevin put in 40 regular hours last week in addition to 4 hours at the overtime rate. He received $756 in gross pay. The hourly rate of Kevin is $126.
Given that,
Kevin put in 40 regular hours last week in addition to 4 hours at the overtime rate.
He received $756 in gross pay.
We have to find the hourly rate of Kevin.
Let h be the hourly rate.
Then
1.5h be the overtime rate.
Reg pay+ Overtime pay=Total pay
40h+4(1.5h)=756
40h+6h=756
46h=756
h=756/40
h=$126
Therefore, the hourly rate of Kevin is $126.
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write an equation for the line through the point (-7,-4) and parallel to the line y=8x-4 in point-slope form
The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
How to determine the equation of the second line?The first equation is given as
y = 8x - 4
The slope of the above equation is
m = 8
Parallel lines have equal slope
So, the slope of the other line is
m = 8
The equation is then calculated as
y = m(x - x1) + y1
Where
m = 8
(x1, y1) = (-7, -4)
So, we have
y = 8(x + 7) - 4
Expand
y = 8x + 56 - 4
Evaluate the difference
y = 8x + 52
Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
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Beinggreat78's profile pictures are always 10/10
[tex]3\% = \frac{3}{100} = 0.03[/tex]
Option AAnswer:
A
Step-by-step explanation:
because 3 percent is 3/100 so move the decimal point 2 over to make it 0.03.
help me pls this is middle school work
Answer: 5 or 5 [tex]\frac{0}{3}[/tex]
Step-by-step explanation:
3*1=3 ==> 1st box value
3*2/3=6/3=2 ==> 2nd box value
3+2=5
5=5 [tex]\frac{0}{3}[/tex]
a one dollar bill is 6.14 inches long, 2.61 inches wide, and 0.0043 inch thick. if you spread a billion dollar bills over the ground, how many square miles would they cover? round your answer to the nearest square mile.
Answer:
0.0000398 cubic ft.
Step-by-step explanation:
Select all of the following graphs which represent y as a function of x?
Using the concept for a relation to represent a function, it is found that graphs 2, 3, 4 and 5 are functions.
When does a relation represents a function?A relation represents a function when it value of the input is associated to only one value of the output.
On a graph, it means that each value of x has only one equivalent value of y, that is, there are no vertically aligned points.
In this problem, we have that:
The first graph, which maps the circle is not a function, as there are multiple values of x associated with two values of y, hence generating vertically aligned points.The last graph, below the constant line, also has values of x such as x = 0 mapped to two values of y(y = 1 and y = -2 for x = 0), hence it also is not a function.All the other graphs are functions.
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august is going to sell some items at a car boot sale. She has a rectangular table which measures 0.45m by 1.8m. The company running the sale want to know the area of the table. What is the area of Augusts table?
Answer:
0.81m²
Step-by-step explanation:
0.45 × 1.8 = 0.81m²
Name 2 lines that are perpendicular
Step-by-step explanation:
You didn't put any answer choices but two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°.
3.
The Speedy Fast Ski Resort has started to keep track of the number of skiers and snowboarders who bought season
passes. The
ratio of the number of skiers who bought season passes to the number of snowboarders who bought of
season passes is 1:2. If 1,250 more snowboarders bought season passes than skiers, how many snowboarders and
how many skiers bought season passes?
There are 1250 skiers and 2500 snowboarders bought season passes.
What is substitution method:The substitution technique is a mathematical approach for solving simultaneous linear equations. The value of one variable with one equation is substituted in the second equation, as the name implies.
According to the given information:The ratio of 1:2 indicates that there is one skier for every two snowboarders.
Let S stand in for the skier.
B should symbolize the snowboarder.
This condition is equivalent to = 1:2 = S:B.
Alternatively, 2S = B.
B - S = 1250
2S - S = 1250
Applying substitution method.
s = 1250
B = 2S = 2(1250) = 2500
B = 2500
There are 1250 skiers and 2500 snowboarders.
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I understand that the question you are looking is:
The Speedy Fast Ski Resort has started to keep track of the number of skiers and snowboarders who bought season passes. The Ratio of the number of skiers who bought season passes is 1:2.If 1,250 more snowboarders bought season passes than skiers, how many skiers bought season passes?
Match the following activities to their effect on the general ledger accounts.
Sort the ensuing actions according to how they affect the general ledger accounts. Drag and drop software.
Allocate overhead costs to jobs
Debit Raw Materials Inventory
Pay factory utilities
Credit Factory Overhead
Purchase indirect material
Debit Factory Overhead
Use indirect materials
Debit Work in Process Inventory
Direct labor used
Credit Raw Materials Inventory
The following actions' effects on the general ledger accounts are matched to them:
1. When you divide up overhead expenses among jobs: Give factory overhead credit.
2. When paying production overhead: debit the factory utilities.
3. When you buy indirectly produced material: Debit the inventory of raw supplies.
4. Using indirect materials results in: Credit the inventory of raw commodities.
5. Direct labor used: Debit Work in Process Inventory.
Explanation:
1. When you divide up overhead expenses among jobs: Give factory overhead credit. Factory overhead is a cost that cannot be directly attributed to the goods but is incurred throughout the manufacturing process of completed goods.
2. When paying production overhead: debit the factory utilities. Factory overhead is defined as a cost incurred during the production of completed goods that is not directly related to the products.
3. When you buy indirectly produced material: Debit the inventory of raw supplies. The cost of all resources, such as component components, that a company has on hand but have not been used in the manufacture of finished items or work in progress is included in the raw materials inventory.
4. Using indirect materials results in: Credit the inventory of raw commodities. The total cost of all resources, like as component components, that a company has on hand but haven't been used to produce finished goods or work in progress is known as raw materials inventory.
5. Debit work in process inventory for direct labor utilized.
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Given the following function equations, state all of the transformations present on the graph of f(x)
4f(x-1)
-f(2x)
f(-x)+2
Answer:
See explanation
Step-by-step explanation:
f(x) ==> 4f(x-1)
1. f(x) ==> f(x-1) Translate the graph 1 unit to the right
2. f(x-1) ==> 4f(x-1) Vertical stretch by a factor of 4
f(x) ==> -f(2x)
1. f(x) ==> f(2x) Horizontal compression by a factor of 1/2
2. f(2x) ==> -f(2x) Reflection over the x-axis
f(x) ==> f(-x)+2
1. f(x) ==> f(-x) Reflection over the y-axis
2. f(-x) ==> f(-x)+2 Translate the graph 2 units up.
Answer:
1) Translated 1 unit right and stretched vertically by a factor of 4.
2) Compressed horizontally by a factor of ¹/₂ and reflected in the x-axis.
3) Reflected in the y-axis and translated 2 units up.
Step-by-step explanation:
Transformations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]\begin{aligned} y =a\:f(x) \implies & f(x) \: \textsf{stretched/compressed vertically by a factor of $a$} \\& \textsf{If }a > 1 \textsf{ it is stretched by a factor of $a$}\\& \textsf{If }0 < a < 1 \textsf{ it is compressed by a factor of $a$}\end{aligned}[/tex]
[tex]\begin{aligned} y=f(ax) \implies & f(x) \: \textsf{stretched/compressed horizontally by a factor of $\dfrac{1}{a}$} \\ & \textsf{If }a > 1 \textsf{ it is compressed by a factor of $\dfrac{1}{a}$}\\ & \textsf{If }0 < a < 1 \textsf{ it is stretched by a factor of $\dfrac{1}{a}$}\end{aligned}[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}[/tex]
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the $y$-axis}[/tex]
Transformation 1Given:
[tex]4f(x-1)[/tex]Transformations
[tex]f(x-1) \implies f(x) \: \textsf{translated}\:1\:\textsf{unit right}[/tex]
[tex]4\:f(x) \implies f(x) \: \textsf{stretched vertically by a factor of}\: 4[/tex]
Transformation 2Given:
[tex]-f(2x)[/tex]
Transformations
[tex]f(2x) \implies f(x) \: \textsf{ compressed horizontally by a factor of $\dfrac{1}{2}$}[/tex]
[tex]-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
Transformation 3Given:
[tex]f(-x)+2[/tex]
Transformations
[tex]f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
[tex]f(x)+2 \implies f(x) \: \textsf{translated}\:2\:\textsf{units up}[/tex]
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Mystery Number:
I round to 375,400 when
rounded to the nearest hundred
have an odd hundreds digit,
tens digit, and ones digit
My tens and ones digits are
the same and both less than 7
What number am I?
Answer:
Step-by-step explanation:
375355
On Monday, Saffron bakes
324 pastries in the morning and some more in the
afternoon. She sells 584 pastries. At the end of the
day she has 52 pastries left. How many pastries did
she bake in the afternoon?
When the Saffron bales 324 pastries in the morning and some in the afternoon, if she sells 584 pastries and at the end of the day she has 52 pastries left, the total number of pastries in the afternoon is 312
The total number of pastries she sells=584 pastries
The number of pastries left at the end of the day=52 pastries
The total number of pastries she bakes=584+52
=636 pastries
Number of pastries she bakes in the morning=324 pastries
Subtract the number of pastries bakes in the morning from the total number of pastries she bakes
Number of pastries she bakes in the morning=636-324
=312 pastries
Hence, when the Saffron bales 324 pastries in the morning and some in the afternoon, if she sells 584 pastries and at the end of the day she has 52 pastries left, the total number of pastries in the afternoon is 312
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A local coffee shop has 5 syrup flavors, regular or decaf coffee, and 4 types of milk. How many different syrup-coffee-milk drinks are possible
Answer:
40
Step-by-step explanation:
Multiply each number of choices to get the total amount of choice combinations available.
5 syrup flavours * 2 types of coffee * 4 types of milk = 40 combinations.
5 * 2 * 4 = 40.
Select all the values that are equivalent to the given expression. Help pls
Answer:
These two are both correct.
6.432 × 10^6
64.32 × 10^5
Explanation below
Hope this helps :)
Step-by-step explanation:
1. 9.6 × 6.7 = 64.32
Add the two powers 3 + 2 = 5
64.32 × 10^5
2. Move the decimal 1 time to the left, then that would add 1 power of ten to 10^5 to get 10^6.
6.432 × 10^6