The composite function (h-g)(x) is 3x + 2
How to determine the valueNote that functions are defined as expressions, equations, rules or laws that explains the relationship that exists between two variables.
These two variables are termed;
Independent variableDependent variableFrom the information given, we have the functions;
h(x)=2x+2
g(x) = x – 2x
To determine the composite function, we need to substitute the expressions and subtract them, we have;
(h-g)(x) = 2x + 2 - (x - 2x)
expand the bracket
(h-g)(x) = 2x + 2 - x + 2x
collect the like terms
(h-g)(x) = 3x + 2
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which choice is equivalent to the expression below 2^7 times 19
The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432
Please help me! This is urgent!!!!!
Answer:
The first one would be reasonable, because the minutes late is 50, which is a little under 1 hour.
Explanation:
The 2nd one uses a negative value for m, you can't use a negative value when adding time.
The 3rd and fourth have fairly large numbers which are not typical for parents picking up their kids.
put these numbers in descending order
75%
2/5
0.84
2/3
I NEED HELP ASAP ! THIS IS FOR A PAST DUE QUIZ. THEY ARE GIVING ME ONE MORE CHANCE
Answer:
3b/2 + 3
Step-by-step explanation:
The formula to calculate perimeter of rectangle is 2l + 2w
The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2
Using the formula to calculate perimeter you can substitute and calculate
p= 2l + 2w
p= 2(b/4 + 1/2) + 2(b/2 + 1)
p= 2b/4 +2/2 + 2b/2 +2
p= 1/2b + 1 + b + 2
p= 3/2b + 3
Simplified it's 3b/2 +3
What is the coefficient of the term of degree 9 in the polynomial?
5+ 7x^9 + 12x - 5x^7 + 3x^2
Answer:
It is "7"
\(7 {x}^{9} \)
In the following figures, solve for x. Complete parts (a) through (c)
Explanation:
Part A:
The image is given below as
Concept:
Using the linear pairs theorem, we will have that
\(\begin{gathered} z+80^0=180^0 \\ substract\text{ 80 from both sides} \\ z+80-80=180-80 \\ z=100^0 \end{gathered}\)Also from the image of the question, we can deduce that
\(y=55^0(vertical\text{ angles are equal\rparen}\)Hence,
To calculate the value of x, we will use the sum of angles in a triangle
The sum of angles in a triangle gives
\(180^0\)By substtituting the values, we will have
\(\begin{gathered} x+y+z=180^0 \\ y=55^0 \\ z=100^0 \\ x+y+z=180^{0} \\ x+55+100=180^0 \\ x+155=180^0 \\ x=180-155 \\ x=25^0 \end{gathered}\)Hence,
The final answer for x in part A is
\(x=25^0\)Part B:
From the image in the question we can see that angle segmen makes up a right angle
Hence,
We will have the relation below
\(\begin{gathered} 7x+2x=90^0 \\ 9x=90^0 \\ \frac{9x}{9}=\frac{90}{9} \\ x=10^0 \end{gathered}\)Hence,
The final answer for x in part B is
\(x=10^0\)On subtracting 8 from -4, we get
Answer:
12
Step-by-step explanation:
Remember, when you add two same symbols, the outcome will be positive.
- + - = +
- + + = -
+ - + = +
+ - - = -
WILL MARK BRAINLIEST!!
In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
Own a bird
Do not own a
bird
Total
Own fish
0.04
0.08
0.02
0.86
Do not own fish
Total
What percentage of the people surveyed own a bird?
Using proportions, it is found that the percentage of the people surveyed own a bird is given by:
C. 6%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. When the proportion is multiplied by 100%, a percentage is found.
The proportion of people who own a bird is:
p = 0.04 + 0.02 = 0.06.
Hence the percentage is of 6%, which means that option C is correct.
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A hot air balloon ascends at a rate of 5 meters per minute. If it ascends for 10 minutes, what is the total amount of meters the hot air ballon ascended?
Answer:
The hot balloon ascended by 50 meters.
Step-by-step explanation:
If the balloon ascends at 5 meters per minute, for 10 minutes, then we just need to multiply 5 by 10.
5 x 10 = 50.
Therefore, the hot air balloon ascended by 50 meters.
Hope this helps! :)
whats the domain of y=-3x+7?
(x divided by 3) - 6. it’s a divided by sign i just don’t have it. but written in a word phrase
Answer:
Step-by-step explanation:
- x over 3
A put option on the Canadian dollar with an exercise price USD 0.76/CAD sells for a premium of $0.039/CAD. If one contract is for CAD 100,000 and the spot price at maturity is $0.76/CAD: What is the profit to the option writer? (Negative numbers represent losses). If necessary, round to the nearest cent. Answer for the entire contract. For example, if the profit is .01 per unit and the contract is for 5000 units, then the profit on the contract is 50.
The profit for the option writer is $3,900.
In this scenario, the option writer sold a put option on the Canadian dollar with an exercise price of USD 0.76/CAD. The premium received for the option was $0.039/CAD. The contract size is CAD 100,000, and the spot price at maturity is $0.76/CAD. However, since the spot price at maturity is equal to the exercise price of $0.76/CAD, the option is not exercised. As the option writer, the profit is determined by the premium received. In this case, the premium received per contract is $0.039/CAD. Multiplying this by the contract size of CAD 100,000, we get $3,900.
It's important to note that if the spot price at maturity had been lower than the exercise price, the option would have been exercised, resulting in a loss for the option writer equal to the difference between the exercise price and the spot price, multiplied by the contract size.
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PLEASE IF U KNOW THE ANSWER PLEASE HELP ME
Answer:
34.93
Step-by-step explanation:
Ok, so using the formula for a trapezoid, you would get that Jim's garden's area is equal to 135.
Since each grass bag can cover 20m of the garden,
135/20=6.75
You would need seven bags because you can't buy 6.75 bags at a store.
Since each bag of grass seed is 4.99, 7*4.99 = 34.93.
I'm doing this in dollars, so I'm assuming that one pound is 100 cents or something like that.
What is the point-slope form of a line with slope 4/5 that contains the point (-2,1)?
Answer: \(\Large\boxed{y-1=\frac{4}{5} (x+2)}\)
Step-by-step explanation:
Given the requirement for function
Point-slope form : y - y₁ = m (x - x₁)
m = slope(x₁, y₁) = Any points on the lineGiven information
m = 4/5
Point = (x₁, y₁) = (-2, 1)
Substitute values into the function form
y - y₁ = m (x - x₁)
y - (1) = (4/5) (x - (-2))
Simplify the function
\(\Large\boxed{y-1=\frac{4}{5} (x+2)}\)
Hope this helps!! :)
Please let me know if you have any questions
How does place value
help me subtract decimals?
Place Value helps you subtract decimals because without it it would be a mess. Everything has to be in order if not you get the wrong answer
Consider the markings on the triangles. Which congruence theorem could be used to prove that the two triangles are congruent? Explain your reasoning. A) AAA; All angles are congruent. B) SSA; Corresponding sides are congruent. C) HL; The base angles of the triangles are congruent. D) AAS; Corresponding angles are congruent, and the triangles have a common side.
Answer: D
Step-by-step explanation:
You have the two pairs of given angles, and that side XV is congruent to itself by the reflexive property.
A simple random sample of 31 observations was taken from a large population that has a mean of 5.2 and a standard deviation of 1.1. From the sample, the average was calculated to be 5 and the standard deviation was computed as 0.92. The number 5.2 in this scenario is a
In the scenario described above, 5.2 is the population mean or parameter because it represents the mean of the entire population. The number 5.2 in this scenario is the population mean.A population refers to a complete group of objects, people, or other things that share common characteristics. Parameters are used to describe population attributes. The population mean (μ) is the average of all the values in a population.
A population mean may be determined using various statistical methods, including the simple random sampling technique.Simple random sampling is a probabilistic sampling method that ensures that each element in the population has an equal chance of being included in the sample. In other words, a simple random sample is one in which each member of the population has an equal chance of being chosen as part of the sample.
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what does c equal? I got 21.65 but that’s not an available answer (brainliest for the first correct answer)
Answer:
2+3=5 times 2=10 Random equation
Step-by-step explanation:
The function f(x)=1/6(2/5)^x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
Answer:
the ordered pair (0, 1/6)
Step-by-step explanation:
To reflect a function across the y-axis, we replace every occurrence of x with -x. Therefore, the function g(x) is given by:
g(x) = f(-x) = 1/6(2/5)^(-x)
To find an ordered pair on g(x), we need to choose a value of x and evaluate g(x). For example, if we choose x = 0, then:
g(0) = 1/6(2/5)^(-0) = 1/6
Therefore, the ordered pair (0, 1/6) is on the graph of g(x).
what are the domain and range of the real valued function of f (x)= -7 + √x+2
The domain and range of the real valued function; f (x)= -7 + √x+2 are;
Domain = [2, infinity).Range = [-7, infinity).What intervals define the domain and range of the given function?As evident in the task content; the given function is; f (x)= -7 + √x+2
Hence, since the domain of the function is the set of all possible input, x values.
Since the expression inside a square root must be greater or equal to 2.
x + 2 ≥ 0; x ≥ -2. Hence, the domain is; [2, infinity).
Also, for the range; since √x+2 ≥ 0, it follows that the range is; [-7, infinity).
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there are multiple graph with degree sequence (4,4,4,4,4,4,2). explain why none of them are bipartite.
None of the graphs with the given degree sequence (4,4,4,4,4,4,2) can be bipartite.
To understand why none of the graphs with the given degree sequence (4,4,4,4,4,4,2) are bipartite, let's first define the key terms:
1. Degree: The degree of a vertex in a graph is the number of edges incident to it.
2. Sequence: A degree sequence is a list of the degrees of each vertex in a graph.
3. Bipartite: A graph is bipartite if its vertices can be partitioned into two disjoint sets such that no two vertices within the same set are adjacent.
Now, let's analyze the given degree sequence (4,4,4,4,4,4,2):
1. There are 7 vertices in the graph.
2. The sum of the degrees is 4+4+4+4+4+4+2 = 26, which is even (a necessary condition for a graph to be bipartite).
For a graph to be bipartite, it must satisfy the Handshaking Lemma. The Handshaking Lemma states that the sum of the degrees of all vertices in a set should be equal to the sum of the degrees of all vertices in the other set. In other words, the sum of the degrees of all vertices in one set is equal to the number of edges crossing between the two sets.
Let's assume we can divide the vertices into two disjoint sets, A and B. Since each vertex with degree 4 is adjacent to 4 vertices, it must be connected to vertices in the opposite set. However, we have six vertices with degree 4, so the total sum of degrees of vertices in set A would be 6 * 4 = 24, while the vertex with degree 2 in set B would only account for 2. This contradicts the Handshaking Lemma, as 24 ≠ 2.
Hence, none of the graphs with the given degree sequence (4,4,4,4,4,4,2) can be bipartite.
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HELP!!!! please im begging
Answer:
57 1/10
(14× 3/4)+(4× 1/2)+(8× 1/2)+(10× 2/5)+(10× 2/5)+(12× 4/5)= 571/10 or 57× 1/10
How many significant figures will there be in the answer to the following problem?101.7 * 5.45 =
hello
101.7 * 5.45 =
\(101.7\times5.45=554.265\)if you observe you'll see a decimal point after the third number. this tells us that the answer has a three significant figure
Brooke earned $34 for 4 hours . Write an equation to show her total wages, w, for h hours of work
HELPPPPPPP:((
2 kg mass is placed at the end of a lever which is 20 cm from the pivoting point. If the mass is transferred to other side of the lever which is 10 cm from the pivot, then what will be the effective mass? a. 2 kg b. 20 kg c. 8 kg d. 25 kg
The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .
In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,
Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:
= Mass × distance of its center of gravity from the pivot
Let M be the effective mass that we have to find. Then, we have:
2 kg × 20 cm
= M × 10 cm40 cm
= 10 M4
= MM
= 4
Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.
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pls help i dont even know what this is
Answer:
x=-18/7
Step-by-step explanation:
the weird shapey thing is just the unknown
let's make life easy and just use x
substitute it in and then distribute the fractions
the simplify and solve
I'll mark you brainlest if you answer this correctly please help
Answer:
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A dolphin is swimming 3 feet below sea level. It dives down 9 feet to catch some fish. Then the dolphin swims 4 feet up toward the surface with its catch.
What is the dolphin’s final elevation relative to sea level?
Answer:
The dolphin is -8 feet below sea level
Step-by-step explanation:
Start a -3 feet below sea level. Then subtract the -9 from when the dolphin dives. Then add the +4 feet. And you'll get -8. Hope this helps:)
The dolphin’s final elevation relative to sea level will be -8 feet.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a dolphin is swimming 3 feet below sea level. It dives down 9 feet to catch some fish. Then the dolphin swims 4 feet up toward the surface with its catch.
The elevation of the Dolphin is:-
Elevation = -3 - 9 + 4
Elevation = -8 feet
Therefore, the dolphin’s final elevation relative to sea level will be -8 feet.
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Please help
The problem below is solved incorrectly.
Part A: Find the mistake in the work/answer and explain what the mistake is.
Part B: Find the correct answer.
The given figure is a right triangular prism, with 2 parallel and congruent triangular faces and 3 rectangular faces.
The triangular faces have sides 13 ft, 13ft and 24 ft and the height of 5 ft.
Two of the rectangular faces are 13 ft x 30 ft and the remaining face is 24 ft x 30 ft.
Surface area is the sum of areas of all 5 faces.
Area formula for triangle is A = bh/2 and for rectangle is A = ab.
Let's verify the steps of calculation.
Part AStep 1
13 x 30 = 390, right390 x 2 = 780, rightThis is right
Step 2
30 x 24 = 720, right720 x 2 = 1440, wrong as there is only one face of same dimensionsThis is wrong
Step 3
24 x 5 x 0.5 = 60, right60 x 2 = 120, rightThis is right
Step 4
780 + 1440 + 120 = 2340 sq ft, this is wrong because of wrong step 2Part BCorrection in step 2, it should be 720 but not 1440.
Correction in last step, the sum:
780 + 720 + 120 = 1620 sq fta recipe requires the following ingredients to make 16 gingerbread men
140g of flour
250g of sugar
80g of ginger
110g of butter
how much of each ingredient would you need to make 40 gingerbread men?
How do I work this out?
Answer:
5,600 g of flour
10,000g of sugar
3,200g of ginger
4,400g of butter
Just have to multiply each ingredient by 40