Answer:
[tex] \sf \: f(2) = - 2[/tex]
Step-by-step explanation:
Given function,
→ f(x) = 4x - 5x
Now we have to,
→ Find the required value of f(2).
Then the value of f(2) will be,
→ f(x) = 4x - 5x
→ f(2) = 4(2) - 5(2)
→ f(2) = 8 - 10
→ [ f(2) = -2 ]
Hence, the value of f(2) is -2.
Help, Solve the system of linear equations by Elmination.
Answer:
See the explanation below
Quick and Simple Algebra 2 question
Write the equation based on 2 points
The equation of line is y = 1.5x + 5.5.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have the reference point as (-2, 2.5) and (-1, 4)
so, slope
= (4- 2.5)/ (-1 + 2)
= 1.5
and, the equation of line is
y- 2.5 = 1.5 (x+ 2)
y- 2.5 = 1.5x + 3
y = 1.5x + 5.5
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Triangle XYZ is shown on the coordinate plane.
A triangle on the coordinate plane with vertices X at 0 comma 5, Y at 10 comma 3, and Z at 4 comma negative 1.
If triangle XYZ is translated using the rule (x, y) → (x + 2, y + 3) and then reflected across the x-axis to create triangle X″Y″Z″, what is the location of Z″?
(2, −8)
(6, −2)
(8, −2)
(12, −6)
The transformation of triangle XYZ vertices at X(0, 5), Y(10, 3), and Z(4, -1), indicates that the coordinate of the point Z'' following a composite transformation of a translation of (x, y) → (x + 2, y + 3), and a reflection across the x-axis, is located at the point (6, -2). The correct option is therefore;
(6, -2)What is a reflection transformation?A reflection transformation is a transformation that produces a mirror image of a geometric figure across a line of reflection.
The coordinates of the vertices of the triangle are;
X(0, 5), Y(10, 3), Z(4, -1)
The transformation rule that is used to translate the triangle ΔXYZ (to get ΔX'Y'Z'), can be presented as follows;
(x, y) → (x + 2, y + 3)The reflection of the translated figure of the triangle (ΔX'Y'Z'), to get ΔX''Y''Z'', is a reflection across the x-axis, therefore, we get;
The coordinates of the point (x, y) following a reflection across the x-axis is the point (x, -y)Therefore, we get the coordinate of the point (x, y) following the composite transformation is the point (x + 2, -(y + 3))
(x, -y) → (x + 2, -(y + 3))The coordinates of the point Y(4, -1) following the composite transformation is therefore;
Y(4, -1) → (4 + 2, -(-1 + 3)) = (6, -2)
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Rowan was collecting seashells she collects 4 more than three times the number of seashells Maribel collects if Maribel collects X seashells select the expression of represents the number of seashells Rowan collects
Answer:
Rowan collects
3x + 4
Step-by-step explanation:
Maribel collects x sea shells.
Rowan collects 4 more (this is the +4)
than 3 times Maribels (this is the 3x)
Maribel = x
Rowan = 3x + 4
Answer:
its actually 4x + 3
Step-by-step explanation:
According to government data 22 percent of children in the United States under the age of 6 years live in households with incomes that are closed a pincome A simple random sample of 300 children in the United States under the age of 6 years was selected for a study of learning in early childhood if the government data are correct, which of the following best approximates the probability that at 27 percent of the children in the sample live in households that are closed at the particulo income level o represents a standard normal random variable)
Answer: [tex]p(z > \frac{0.27-0.22}{\sqrt{\frac{(0.22)(0.78)}{300} } } )[/tex]
Step-by-step explanation:
[tex]P=\frac{22}{100} =0.22, n=300[/tex] [tex]q=1-p=0.78[/tex]
[tex]p' = \frac{27}{100}=0.27[/tex]
[tex]p(z > \frac{p'-p}{\sqrt{\frac{p*q}{n} } } )[/tex]
[tex]p(z > \frac{0.27-0.22}{\sqrt{\frac{(0.22)(0.78)}{300}} }[/tex]
Solve 2x − 1 = 5.
A . x = 1
B . x = 2
C . x = 3
D . x = 4
C
The answer to the question is C
Answer:
D is the answer cuz 2x-1=5
2x=5-1
2x=4
X=2
We divide both side by two
A group of friends wants to go to the amusement park. They have no more than $295
to spend on parking and admission. Parking is $11.50, and tickets cost $39
person, including tax. Which inequality can be used to determine x, the maximum
number of people who can go to the amusement park?
Answer:
295>_ 39x+11.50
Step-by-step explanation:
the >_ means less than or equal to.
Help !! I can’t find the answer for this question
Answer:
41 inches
Step-by-step explanation:
to find the perimeter of any shape, add the length of all the sides together
Which of the following sequences are geometric?
Check all that apply.
Answer:
A and C are the correct answers
Step-by-step explanation:
Answer:
And C is the answer to the question
Find the area of the figure below, round to the nearest whole number.
The area of the triangle with side lengths 28 and 21 and an angle of 118 degrees is 260 squared unit.
What is the area of the given triangle?A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.
The area of a triangle can be determine using the formula;
A = ( a × b × sin( C ) ) / 2
From the diagram;
Side a = 28side m = 21Angle R = 118Area A = ?Plug the given values into the above formula.
A = ( a × b × sin( C ) ) / 2
A = ( a × m × sin( R ) ) / 2
A = ( 28 × 21 × sin( 118° ) ) / 2
A = ( 588 × sin( 118° ) ) / 2
A = ( 588 × 0.8829 ) / 2
A = 519.17 / 2
A = 260 square unit.
Therefore, the area of the triangle is 260 square unit.
Option D) 260 is the correct answer.
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The area of the figure to the nearest whole number is 260
Calculating the area of a triangle involving angles.The area of a triangle is the region contained by the triangle's sides. The length of the sides and internal angles affect a triangle's area differently from one triangle to the other.
From the given triangle:
The required area of a triangle is:
[tex]A = a*b * \dfrac{sin \gamma}{2}[/tex]
where;
a and b are the two sides givenγ = the given angle[tex]A = 28*21 * \dfrac{sin \ 118}{2}[/tex]
A = 14 × 21 × sin 118
A = 14 × 21 × 0.8830
A = 259.602
A = 260
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The table shows the number of 6th grade students who prefer each kind of juice at lunch time. Draw a circle graph to display the information. 6th Grade Juice Choices: Grape Juice 8, Orange Juice 6, Fruit Punch 6, Apple Juice 20.
A circle graph representing the data presented will show half of the students prefer apple juice; while grape, orange juice, and fruit punch are preferred by a lower ratio of students.
What is a circle graph?A circle graph also known as a pie graph is a visual representation of data based on a circle and its fractions of it. In this way, if 20 out of the 40 students prefer apple juice this means in the circle graph half of it would be for students preferring apple juice.
Based on this, a possible circle graph that represents the data is shown below:
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someone pls help with this question
a² y² - 2aby + b²
a. Draw a tree diagram for the results from tossing a fair two-sided coin (H, T) four times
b. How many stages are there in the tree diagram?
c. List all the possible outcomes (the sample space).
d. How many outcomes are there in the sample space?
▪ You must show ALL of your work in order to receive full credit.
Answer:
Step-by-step explanation:
a) The tree diagram for the results of tossing a fair two-sided coin four times would look like this:
(1)
/ \
(H) (T)
/ \ / \
(2-H) (2-T) (2-H) (2-T)
/ \ / \ /
(3-HH) (3-HT) (3-TH) (3-TT)
b) There are four stages in the tree diagram.
c) The possible outcomes (the sample space) would be all the paths from the root of the tree to the leaves, which represent the results of tossing the coin four times. The possible outcomes are:
HHHHH
HHHTT
HHTHT
HHTTH
HTTHH
HTHHT
HTHTH
THHHH
THHTT
THTHT
TTHHT
TTHTH
TTTTT
d) There are 2^4 = 16 outcomes in the sample space.
ALSO:
a) Draw the Tree Diagram
Start with a root node labeled with the first toss (toss 1)
From the root node, draw two branches, one labeled with "Heads" (H) and the other with "Tails" (T) to represent the possible outcomes of the first toss.
Repeat this process for each of the next tosses (toss 2, 3, and 4)
Continue until all the possible outcomes of the four tosses have been represented.
Here is an example of the tree diagram:
(1)
/
(H) (T)
/ \ /
(2-H) (2-T) (2-H) (2-T)
/ \ / \ /
(3-HH) (3-HT) (3-TH) (3-TT)
/ \ / \ /
(4-HHH) (4-HHT) (4-THH) (4-TTT)
b) Number of Stages in the Tree Diagram
There are four stages in the tree diagram, one for each toss of the coin.
c) Possible Outcomes (Sample Space)
The possible outcomes (sample space) are all the paths from the root of the tree to the leaves, which represent the results of tossing the coin four times.
There are 16 possible outcomes in the sample space, as shown below:
HHHHH
HHHTT
HHTHT
HHTTH
HTTHH
HTHHT
HTHTH
THHHH
THHTT
THTHT
TTHHT
TTHTH
TTTHH
TTTTH
TTTTT
d) Number of Outcomes in the Sample Space
There are 2^4 = 16 outcomes in the sample space.
This is because for each toss, there are two possible outcomes (Heads or Tails), and since there are four tosses, there are 2 * 2 * 2 * 2 = 16 possible combinations.
ALSO:
a) Draw the Tree Diagram
Start with a root node labeled with the first toss (toss 1).
From the root node, draw two branches, one labeled with "Heads" (H) and the other with "Tails" (T) to represent the possible outcomes of the first toss.
Repeat this process for each of the next tosses (toss 2, 3, and 4).
Continue until all the possible outcomes of the four tosses have been represented.
Here is an example of the tree diagram:
(1)
/
(H) (T)
/ \ /
(2-H) (2-T) (2-H) (2-T)
/ \ / \ /
(3-HH) (3-HT) (3-TH) (3-TT)
/ \ / \ /
(4-HHH) (4-HHT) (4-THH) (4-TTT)
b) Number of Stages in the Tree Diagram
There are four stages in the tree diagram, one for each toss of the coin.
c) Possible Outcomes (Sample Space)
The possible outcomes (sample space) are all the paths from the root of the tree to the leaves, which represent the results of tossing the coin four times.
There are 16 possible outcomes in the sample space, as shown below:
HHHHH
HHHTT
HHTHT
HHTTH
HTTHH
HTHHT
HTHTH
THHHH
THHTT
THTHT
TTHHT
TTHTH
TTTHH
TTTTH
TTTTT
d) Number of Outcomes in the Sample Space
There are 2^4 = 16 outcomes in the sample space.
This is because for each toss, there are two possible outcomes (Heads or Tails), and since there are four tosses, there are 2 * 2 * 2 * 2 = 16 possible combinations.
I hope this step-by-step explanation with the diagram helps! Let me know if you need further clarification.
How many litters is 182.5 gallons
Answer:
689.85 liters
Step-by-step explanation:
1 gallon = about 3.78 liters
182.5 gallon = ? liter
We take
182.5 times 3.78 = 689.85 liters
So, 182.5 gallons is about 689.85 liters
John can jog twice as fast as he can walk. He was able to jog the first 3.5 miles to
his grandmother's house, but then he tired and walked the remaining 3.5 miles. If the
total trip took 1.75 hours, then what was his average jogging speed?
miles per hour
please help me as quick as possible
Answer:
try this
Step-by-step explanation:
Factorise: 16x4 - y4
Answer:
= (4x^2 + y^2)(2x + y)(2x - y).
Step-by-step explanation:
16x^4 - y^4
= (4x2)^2 - (y^2)^2
= (4x^2 +y^2)(4x^2 - y^2)
=(4x^2 + y^2)( (2x)^2 -y^2)
= (4x^2 + y^2)(2x + y)(2x - y).
Answer:
Step-by-step explanation: [tex]16x^{4} -4y^{4} = (4x^{2} )^{2} -(2y^{2} )^{2}= (4x^{2} + 2y^{2} )(4x^{2} - 2y^{2})[/tex]
identity used =
[tex](a^{2} -b^{2} ) = (a+b)(a-b)[/tex]
keeps saying ive gotten it wrong yet its an easy question.. help me? (probability)
Answer:
Pole Vault, Discus, 200m, Long Jump
Step-by-step explanation:
Once putting them all as decimals can’t you just sort it our from there? From what I can see, your answers are incorrect, but they might have reset.
Consider the system of equations.
y = -5x-1
y = 2x+6
Choose the correct answer to each question.
What is the slope of the first line?
What is the slope of the second line?
How many times do the lines intersect?
C
How many solutions does the system have?
C
Find the 52nd term of the arithmetic sequence
−
3
,
12
,
27
The 52nd term of the arithmetic sequence -3, 12, 27, ..... is equal to 762.
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.Next, we would determine the common difference as follows.
Common difference, d = a₂ - a₁
Common difference, d = 12 - (-3)
Common difference, d = 12 + 3
Common difference, d = 15
Substituting the given parameters into the formula, the 52nd term of this arithmetic sequence is given by;
a₅₂ = a₁ + (52 - 1)d
a₅₂ = -3 + (51)(15)
a₅₂ = -3 + 765
a₅₂ = 762.
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The lengths of nails produced in a factory are normally distributed with a mean of 6.13
centimeters and a standard deviation of 0.06
centimeters. Find the two lengths that separate the top 7%
and the bottom 7%
. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.
The two lengths that Bottom 7%: L= 6.04 cm
Top 7%: L= 6.22 cm
What does "z-score" mean?
The Z-score provides information on how far a given value deviates from the standard deviation. The amount of standard deviations a given data point is above or below the mean is represented by the Z-score, also known as the standard score.
The level of variability within a particular data collection is effectively reflected in the standard deviation.
Mean length of the population (μ) = 6.13 cm
Standard deviation (σ) = 0.06 cm
The z-score for any given length 'X' is
Z = X - μ/σ
What we want to know is the length at the 7-th percentile and at the 93-rd percentile.
According to a z-score table, the 7-th percentile has a correspondent z-score of -1.476 and the 93-rd percentile has a z-score of 1.476. Therefore, the bottom 7% and top 7% are separated by the following lengths
Z(Xb) = Xb - μ/σ
- 1.476 = Xb - 6.13/0.06
Xb = 6.04
z(Xt ) = Xt - μ/σ
1.476 = Xt - 6.13/0.06
Xt = 6.22
Bottom 7%: L= 6.04 cm.
Top 7%: L= 6.22 cm.
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Which expression is equivalent to x2 + 10x + 24?
A-(x + 12)(x - 2)
B-(x + 8)(x + 2)
C-(x + 6)(x + 4)
D-(x + 8)(x + 3)
Answer: the answer is C just did it
write a formula for f(x)=1x1 shifted up one unit and right 3 units
Y = (1/x-3) has been moved 3 units to the right and up one unit. If it is moved to the right, it should look like this: (x-3). It should show up as (x+3) if it were moved to the left. If the result were moved ahead, the outcome would be (1/x-3).
How is the calculation for switching functions done?The original function f is horizontally shifted into the new function g(x)=f(xh), where h is a constant. Given a function f. The graph will shift to the right in a positive h situation. If h is negative, the graph will slide to the left.
How is a function moved to the left and right?To move a function left in function notation, add within the function's argument: f(x + b) moves f(x) b units left. In the same way, shifting to the right moves f(x) b units to the right.
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Write the inequality shown by the shaded region in the graph with the boundary line −5x+2y=−2
Answer:
Step-by-step explanation:
The boundary line of the shaded region in the graph, which is represented by the equation -5x + 2y = -2, can be used to write the inequality that represents the shaded region. To do this, we first need to determine which side of the boundary line the shaded region is on.
If the shaded region is on the same side of the line as the open half-plane that contains the y-axis, then the inequality is given by:
-5x + 2y > -2
If the shaded region is on the same side of the line as the closed half-plane that does not contain the y-axis, then the inequality is given by:
-5x + 2y ≥ -2
So, the inequality that represents the shaded region depends on the specific context and requirements of the problem, as well as the interpretation of the graph.
A reading specialist wanted to estimate the mean word length, in number of letters, for an elementary school history textbook. The specialist took repeated random samples of size 100 words and estimated the mean and standard deviation of the sampling distribution to be 4. 9 letters and 0. 15 letter, respectively.
Based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.
The reading specialist is trying to estimate the population mean word length of an elementary school history textbook, but it is not practical or possible to measure the word length of every single word in the book. So, instead, the specialist takes repeated random samples of 100 words from the book and calculates the mean word length of each sample. Based on these repeated samples, the specialist estimates that the mean word length of the book is 4.9 letters. This means that, on average, the words in the book are about 4.9 letters long. The specialist also calculated the standard deviation of the sampling distribution, which is a measure of the variability of the sample means. In this case, the standard deviation of the sampling distribution is estimated to be 0.15 letters. This means that the mean word length of each random sample is expected to vary by about 0.15 letters from the population mean. It is important to note that these estimates are based on a specific set of samples and are subject to sampling variability. If the specialist were to take different random samples, the estimates may be slightly different. However, based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.
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Find the compound interest and future value. Round your answers to the nearest cent.
Principal Rate Compounded Time
4.29% Weekly 34 years
$116,000
The compound interest is $348,966.97 and the future value is $464,966.97.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for compound interest to calculate the future value of the investment:
[tex]FV=P(a1+r/n)^{nt}[/tex]
where:
P = the principal amount (the initial investment)$116,000
r = the annual interest rate (as a decimal)=0.0429
n = the number of times the interest is compounded per year=52
t = the number of years=34
Plugging in these values, we get:
FV = $116,000(1 + 0.0429/52)¹⁷⁶⁸
FV = $464,966.97
So the future value of the investment after 34 years is $464,966.97.
Compound interest = $464,966.97 - $116,000 = $348,966.97
Therefore, the compound interest is $348,966.97 and the future value is $464,966.97.
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Label each figure correctly. Area is understood to be square feet and perimeter is understood to be feet.
1. Area of the figure = 702 square feet.
Perimeter = 114 feet
2. Area of the figure = 20 square inches.
Perimeter = 24 inches.
How to Find the Area and Perimeter?Area of a rectangle = length * width
Perimeter of a shape = length of all the surrounding of a figure.
1. Area = area of rectangle 1 + area of rectangle 2 = 27 * 24 + 9 * 6
= 702 square feet.
Perimeter = 30 + 27 + 24 + 18 + 6 + 9 = 114 feet
2. Area = area of rectangle 1 + area of rectangle 2 = 7 * 2 + 3 * 2
= 20 square inches.
Perimeter = 7 + 2 + 3 + 3 + 2 + 3 + 2 + 2
= 24 inches.
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Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.
-4
-1
-2
The slope of the line on the graph will be a negative one. Then the correct option is A.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
From the graph, the two points are (-2, 2) and (2, -2). Then the slope is given as,
m = (- 2 - 2) / (2 + 2)
m = - 4 / 4
m = - 1
The slope of the line on the graph will be a negative one. Then the correct option is A.
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The complete question is attached below.
5. Annette bought 8 dozen eggs from Mr. Joseph's Farm Store for $2,800.00. What was the price per dozen?
In a casee whereby Annette bought 8 dozen eggs from Mr. Joseph's Farm Store for $2,800.00 the price per dozen is $350 per dozen
How can the price per dozen be calculated?The concept that will be use here is division. Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.
The total dozen = 8 dozen eggs
The total price of the 8 dozen eggs $2,800.00
The price per dozen = $2,800.00/ 8 dozen
=$350 per dozen
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Help me with this question….
Answer:
A. 513 cubic units
Step-by-step explanation:
trust me bro.
