#5
ERROR ANALYSIS Describe and correct the error in solving the equation.
X
2(x + 1)2 + 3 = 21
2(x + 1)² = 18
(x + 1)² = 9
x+1=3
B I
U
IC
x = 2
T²
T₂

According to the given data the equation of the new function is (D) f(x) = 2x - 4.

An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.

If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:

f(x) = h(x) + 5

Substituting the definition of h(x) into this equation, we get:

f(x) = 2x - 9 + 5

Simplifying, we have:

f(x) = 2x - 4

Therefore, the equation of the new function is (D) f(x) = 2x - 4.

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To find the minimum value of the expression y=15(x-25)^2+130, we can set the derivative of the expression equal to 0 and solve for x. This will give us the value of x that corresponds to the minimum value of y.

The derivative of the expression is given by:

dy/dx = 30(x-25)

Setting this equal to 0, we get:

0 = 30(x-25)

Solving for x, we get:

x = 25

Substituting this value into the original expression for y, we get:

y = 15(25-25)^2+130 = 130

Therefore, the minimum value of y is 130, which is achieved when x=25.

The ordered pairs that represent points on the graph of y = 2x - 3 are (0,-3), (5,7), (-2,-7), (2,1), and (4,5).

An ordered pair is a pair of numbers written in a specific order (x,y) that represents a point in the coordinate plane.

A graph is a visual representation of data or a mathematical function that is plotted on a coordinate plane, usually with an x and y-axis. It is used to analyze trends and relationships between variables.

According to the given information:

To determine whether a given ordered pair represents a point on the graph of the equation y = 2x - 3, we need to substitute the values of x and y into the equation and see if the equation is true.

a) (3,-3):

y = 2x - 3

-3 = 2(3) - 3

-3 = 3

This is not true, so (3,-3) is not on the graph.

b) (0,-3):

y = 2x - 3

-3 = 2(0) - 3

-3 = -3

This is true, so (0,-3) is on the graph.

c) (5,7):

y = 2x - 3

7 = 2(5) - 3

7 = 7

This is true, so (5,7) is on the graph.

d) (-2,-7):

y = 2x - 3

-7 = 2(-2) - 3

-7 = -7

This is true, so (-2,-7) is on the graph.

e) (2,1):

y = 2x - 3

1 = 2(2) - 3

1 = 1

This is true, so (2,1) is on the graph.

f) (4,5):

y = 2x - 3

5 = 2(4) - 3

5 = 5

This is true, so (4,5) is on the graph.

Therefore, the ordered pairs that represent points on the graph of the equation y = 2x - 3 are: (0,-3), (5,7), (-2,-7), (2,1), and (4,5). Answer: b), c), d), e) and f).

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The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Number of electricians= 4

Number of hours= 6

Now,

We can use the formula:

workers × time = work

where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.

In this case, we know that 4 electricians can complete the job in 6 hours. So:

4 × 6 = work

work = 24

This means that the total amount of work required to complete the job is 24 "units".

Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".

So we have:

3 × t = 24

Dividing both sides by 3, we get:

t = 8

Therefore, by work and time answer will be 3 electricians and 8 hours.

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The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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Answer:

31 PTS

Step-by-step explanation:

Answer:

0.933 ; not independent

Step-by-step explanation:

Given :

A - made from natural polished wood

B - made from chrome accent

P(A) = 0.9

P(B) = 0.75

P(AnB) = 0.7

1.) probability of natural wood Giveb that it has chrome accent

P(A|B) = P(AnB) / P(B)

P(A|B) = 0.7 / 0.75

P(A|B) = 0.933

2.)

For an independent event :

P(AnB) = p(A) * p(B)

P(AnB) = 0.9 * 0.75 = 0.675

However, p(AnB) Given here is 0.7, thus the event aren't independent

A) 0.933

B) Not independent

Let us consider

'A' - made from natural polished wood

'B' - made from chrome accent

% of the boats are given. Thus the probability will be:

P(A) = 0.9

P(B) = 0.75  

P(AnB) = 0.7

1.) Probability of natural wood that it has chrome accent

\(P(\frac{A}{B}) = \frac{P(AnB)}{P(B)}\\\\P(\frac{A}{B}) =\frac{0.7}{0.75}\\\\P(\frac{A}{B}) =0.933\)

The probability that if a boat has chrome accents it is also made of natural wood is 0.933.  

2.)  For an independent event :  

\(P(A\text{ n}B) = P(A) * P(B)\\\\P(A\text{ n}B)= 0.9 * 0.75\\\\P(A\text{ n}B) = 0.675\)

However, p(AnB) Given here is 0.7, thus the event aren't independent.

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So, after Evan's lunch, there was 7/8 quantity of pizza left.

Here we can write,

The simple fraction of \(1\frac{1}{8}\) = 9/8

So, if there were 9/8 pizzas left at the end of the party and Evan ate 2/8 of a pizza for lunch,

we can start by subtracting the amount that Evan ate from the total amount that was left,

⇒ 9/8 - 2/8

To subtract fractions with like denominators,

We can simply subtract the numerators and keep the same denominator,

⇒ 9/8 - 2/8 = 7/8

So, after Evan's lunch, there were 7/8 of a pizza left.

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Answer: \(\dfrac15\)

Step-by-step explanation:

Given : A cloth bag contains 6 cards numbered 1 through 6. Two cards are drawn without replacement.

Favorable outcome: sum of the numbers on the two drawn cards is 7

Since 1+6 = 7 , 2+5=7, 4+3 = 7

So, sum of 7 can be obtained as (1, 6), (2, 5), (3, 4), (4, 3), (5, 2) and (6, 1)

Probability of getting (first 1, second 6) = \(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Probability of getting (first 2, second 5) = (\(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Probability of getting (first 3, second 4) =\(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Probability of getting (first 4, second 3) = \(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Probability of getting (first 5, second 2) = \(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Probability of getting (first 6, second 1) =\(\dfrac16\times\dfrac15=\dfrac{1}{30}\)

Required probability =\(6\times\dfrac{1}{30}=\dfrac15\)

Hence, the required probability = \(\dfrac15\)

The sequence of steps that translates figure W to figure X are -

Refer to the image attached. It shows figure W and figure X. We can write the sequence of steps for the given translation as -

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The distance across the lot, or the altitude of the trapezoid, is 60 feet.

Let's denote the length of the shorter base by x, and the length of the longer base by y. Then, we can use the formula for the area of a trapezoid:

Area = (x + y) * h / 2,

where h is the altitude (distance across the lot) and Area is given as 8,400 square feet.

We also know that the sum of the bases is 280 feet, so x + y = 280.

Now we can solve for h:

h = 2 x  Area / (x + y)

Substituting the given values, we get:

h = 2 x  8,400 / 280 = 60 feet.

Therefore, the distance across the lot, or the altitude of the trapezoid, is 60 feet.

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Answer:

The age of Anis mother in year \(2021\) is \(48\) years.

Step-by-step explanation:

The given statement is that the mother was \(32\) years old when Anis was born, which means that Anis was zero year old.

After \(x\) years, Anis is \(x\) years old, in year \(2021\), so her mother will also grow by \(x\) years, so her mother's age will become \((32+x)\) year.

But Anis mother's age is now \(3\) times her age when she is \(x\) years old, so her mother's age is \(3x\) years, in year \(2021\).

But her mother's age is also \((32+x)\) years, in year \(2021\).

So, the equation will become,

\(\begin{aligned}3x&=32+x\\3x-x&=32\\2x&=32\\x&=16\end{aligned}\)

Her mother's age in year 2021 is,

\(\begin{aligned}3x&=3(16)\\&=48\:\rm{yrs}\end{aligned}\)

Answer: g(x) = 2*x

Step-by-step explanation:

We want to find the formula of g(x) if we know that g(x - 3) = 2*x - 6

Well, the first step is to find the expression (x - 3) = y in the g(x - 3)

Then:

g(x - 3) = 2*x - 6 = 2*x - 2*3

Now we can just take the common factor 2, and write this as:

2*x -2*3 = 2*(x - 3) = 2*y

then:

g( x - 3) = g(y) = 2*y

if we just replace x by y, we get:

g(x) = 2*x

This is the formula of g(x)

a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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From the information given,

The sales tax rate for the state of Washington was 8.3%. Recall, percentage is expressed in terms of 100.

If the cost of a car is $4400

Sales tax = 8.3/100 x 4400

Sales tax = $365.2

Final cost of car = cost of car + sales tax

Final cost of car = 4400 + 365.2

Final cost of car including tax = $4765.2

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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Answer:

Step-by-step explanation:

We know that:

Let's compare the formula and the slope given.

Work:

Hence, the rise is -5.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

ans= 12-x=r1 coin...

Step-by-step explanation:

hope u can do..

Answer:

-6

Step-by-step explanation:

hope this helped <3

25 hours, 12 dollars an hour.

How can we set this up?

25 hours, 12 dollars per hour.  So 12 dollars per each hour, adding up to 25 hours in total.

12 (1 hour), 12 (1 hour), 12 (1 hour)..

Or you could do 12 x 25 to find it, just to make things a little more simple. 25 x 12 = 50
             250
= $300

Answer:

I believe that's a decimal point

Step-by-step explanation:

If yes then,

Seven hundred and twenty seven point five two six

Answer:

727.526 in word form is :Seventy-five thousand seven hundred and twenty-six

Step-by-step explanation:

hope this helps :)

Answer: \(3/10\)

Step-by-step explanation:

\((\frac{3}{5}): (\frac{4}{2}) = \frac{3}{10} = 0.3\)

Divide: 3/5 : 4/2 = 3/5 · 2/4 = 3 · 2/5 · 4 = 6/20 = 2 · 3/2 · 10 = 3/10

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of \(\frac{4}{2}\) is \(\frac{2}{4}\)) of the second fraction.

Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 3/10.

In other words - three-fifths divided by four halves = three tenths.

\(3/10=0.3\)

\(3/40=0.07500\)

\(Divide\) \(3/40 ~ by ~ 2\) \(=0.3\)

Answer:

\(\sf Steps\)

↝ Multiply

↝ Simplify if needed

________________

\(\sf Part\) I

\(\frac{3 * 2}{5 * 4} = \frac{6}{20}\)

________________

\(\sf Part\) II

\(\frac{6}{20} / \frac{2}{2} = \frac{3}{10}\)

________________

\(\sf Part\) III

⋆ As we know, 6-twentieths cannot be simplified any further because 3 cannot be simplified by another odd number. With this, we come to a conclusion.

\(\boxed {\frac{\sf 3}{\sf 10}}\)

Answer:

Volume of the mold is \(6.93\ \text{yards}^3\).

Step-by-step explanation:

The volume of the mold is 186 cubic feet concrete. It is to be sold by cubic yard. It means that we need to convert cubic feet to cubic yard.

1 feet = 0.334 yards

\(186\ \text{feet}^3=186\times (0.334\ \text{yards})^3\\\\V=6.93\ \text{yards}^3\)

So, the volume of the mold is \(6.93\ \text{yards}^3\).

For the given values, the probability that a student watches TV news regularly is 0.833, the probability that a randomly selected college student reads internet news regularly is 0.240.

According to a survey, 83% of college students routinely watch the news on television, while 24% of college students read newspapers on a regular basis.

Additionally, the survey revealed that 20% of college students routinely read newspapers and watch TV news.

(A) Given that a student reads newspapers frequently,

The answer is [P(TV and newspapers)/P] where P(watches TV|reads newspapers) (newspapers)

= 0.20/0.24 = 0.833

(b) Given that a randomly chosen college student watches TV news frequently

The answer is that P(newspapers | watches TV) = [P(newspapers and TV)] / P. (TV)

= 0.20/0.83 = 0.240

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Given function :-

\(\bf \implies g(x) = \dfrac{3}{x}+7\)

\(\bf \implies y = \dfrac{3}{x}+7\)

\(\bf \implies x = \dfrac{3}{y}+7\)

\(\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7} \)

\(\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}\)

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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FAXT

like i started today but i can't stoppppp

Bruh frrrrr I need to stop spending all my time on here