Determine how the given equation represents a transformation of the function f(x): y=f(x+6)-3

The possible sets of five tiles that she could have pulled out are (2,3),(3,2)

If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

\(b = \alpha + \beta \\ ac =\alpha \times \beta\)

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any  trial and error.

Given;

Number of tiles asha pulled out=5

Bag contains only positive and negative x and x² tiles

So, the equation will be

-x^2+x=5

x^2-x+5=0

Now,

\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

x= 1 +\(\sqrt{1-4*-1*-5}\))/2

x=2,3

x=3,2

Therefore, the quadratic equation solution will be (2,3),(3,2)

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slope-intercept form: y = mx + b

In your case: y = 2/3 x + 1

Answer: B

Step-by-step explanation: Hope this helps:)

Answer:

Base = 8 * 17

Step-by-step explanation:

(Not sure what the "8" is, assuming an accidental input.)

Base area = 3536/26 = 136

136 = Lw

L = 136/w

L = w + 9

136/w = w + 9

136 = w(w + 9)

136 = w² + 9w

w² + 9w - 136

(w + 17)(w - 8)

Only use the positive result. w = 8

L = 8 + 9 = 17

Edit: Maybe 8 is the answer accidentally included in the question?...

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Answer:

250 minutes on the treadmill.

350 minutes lifting weights.

Step-by-step explanation:

treadmill:

\(\frac{25}{60}\) = \(\frac{5}{12}\)  The total amount of time is 60 (25 + 35)

Weights:

\(\frac{35}{60}\) = \(\frac{7}{12}\)

Treadmill:

\(\frac{5}{12}\) x 600 = \(\frac{5}{12}\) x \(\frac{600}{1}\) = \(\frac{3000}{12}\) = 250 minutes

250 minutes on the treadmill.

Weights:

\(\frac{7}{12}\) X 600  = \(\frac{7}{12}\) x \(\frac{600}{1}\) = \(\frac{4200}{12}\) = 350 minutes.

350 minutes lifting weights.

Helping in the name of Jesus.

Answer:

the answer is 250 minutes on the treadmill and 350 minutes lifting weights.

Step-by-step explanation:

Answer:

880

Step-by-step explanation:

I hope this answer helps!

Answer:

6.07

Step-by-step explanation:

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Step-by-step explanation:

The domain is over the interval -2pi, and 2pi, exclusive So the domain is

(-2pi,2pi)

Answer:

1a.11:25

2a.3:4

3a.4:5

4a.1:4

5a.8:21

6a.26:1

1.50 red apples

2.250 barries

3.473 turnips

4. 50 pears

5.10 melons

6.30 blueberries

Answer: \(log(12x^{2})\)

Step-by-step explanation:

You can write 2logx as \(log(x^{2} )\)

[logx + logy = log(xy)]

\(log12\) + \(log(x^{2} )\) = \(log(12x^{2})\)

log12 + 2logx written as a single fraction is:

\(log{12x^2}\)

The given logarithmic expression is:

\(log12+2logx\)

This can be re-written as:

\(log12+logx^2\)

Note that both logs are to the base of 10. Therefore, they can be written as a single fraction as shown below

\(log{12x^2}\)

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For the given quadratic equation, the value of constant abc is 45/8.

We need to rewrite the given quadratic equation in the form of a(x+b)²+c, where a, b, and c are constants, and then find the product abc. To do this, we'll complete the square.

Given quadratic equation: 2x² -10x+8

Follow these steps to determine the product:

1: Divide the entire equation by the leading coefficient 2:

x² -5x+4

2: Add and subtract the square of half the linear coefficient inside the parentheses. Half of 5 is 5/2, and (5/2)² is 25/4:

x² - 5x + 25/4 - 25/4 + 4

3: Combine the terms and rewrite the equation in the form a(x+b)²+c:

(1)(x - 5/2)² - 9/4

4: Now, we can see that a = 1, b = -5/2, and c = -9/4. So the product abc is:

abc = (1)(-5/2)(-9/4) = (45/8)

Therefore, the value of abc is 45/8.

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The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

The principal in this scenario is $ 8000.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time.

Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time.

It is Given that:

Priscilla invested 20,000 that means the total amount she invested.

Amount= $ 20,000

Rate of interest=12%

Time= 5 year

Interest= $12,000.

By the formula;

Amount =  principal + Interest

Principal = Amount - Interest

Principal= $ 20,000- $12,000

Principal=$ 8000

Hence, the principal in this scenario is $ 8000.

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Answer:

Step-by-step explanation:

D.. Complexity (i.e., more complex than real-world phenomenon being modeled

The probability of roll outcome:

1st 2 = 1/6

2nd prime = 1/2, and

3rd more than 4 = 1/3.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

In a fair die, considering the outcomes from the question:

probability of the 1st roll to be 2 = 1/6

probability of 2nd roll to be prime = 3/6

probability of 2nd roll to be prime = 1/2

probability of 3rd roll to be more than 4 = 2/6

probability of 3rd roll to be more than 4 = 1/3

Therefore, the fracions 1/6, 1/2, and 1/3 are the probabilities of the 1st, 2nd, and 3rd rolls outcome respectively.

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Given the equation system:

To solve the equation system, you can use the substitution method.

First, write one of the equations for one of the variables, for example, write the second equation for v:

Pass 2w to the right side of the equation by applying the opposite operation to both sides of it:

Divide both sides by 5

Second, replace the expression obtained into the first equation:

Now you have to solve the expression for w:

Distribute the multiplication on the parentheses term:

Subtract 2/5 to both sides of the equal sign:

Multiply both sides by the reciprocal of 26/5

Once you determine the value of w, you can calculate the value of v

The solution of the equation system is w=-7 and v=3

Answer:

its 0,6

Step-by-step explanation:

you just move however much it asks

Answer:

(0,6)

Step-by-step explanation:

your basically imagining that your moving that point following the directions in the word problem. go left 3 times, go up 2 times.

Answer:6

Step-by-step explanation:

The original number that was multiply by 5 instead of 3 is 6.

The equation that can be used to represent the informatioin in the question is:

5x - 3x = 12

Where x is the original number

In order to determine the value of x, take the following steps

Combine similar terms: 2x = 12

Divide both sides by 2

x = 6

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Answer:

x=11

Step-by-step explanation:

This is an exterior angle theorem question.

To answer this question, you must know what the exterior angle theorem is:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)

So first, you need to add the two opposite interior angles.

3x+8+2x+9 is equal to 5x+17.

Then, you make an equation setting 5x+17 equal to the exterior angle.

5x+17 = 8x-16.

To solve this equation, first add 16 on both sides

→5x+33 = 8x

Then, subtract 5x on both sides

→ 33 = 3x

Finally, divide both sides by 3 to get x=11

The work that gravity does;

W = F.S = mgΔh

In light of the fact that gravity points downward and that displacement is also downward, their angle is 0 and their cosine 1, respectively.

W = mgΔh

g = 9.8 m/s²

Δh  = 4.6 m

m = 0.60 kg

W = 0.60 x 9.80 x 4.6

W = 2.7 J

The source of gravitational potential energy in relation to the ground is;

U = mgh

The release point therefore

Ug = mgh(0)

U0 = 0.60 x 9.8 x 6.1

U0 = 35.87 J

At the point of release

U(gf) = mgh(f)

U(gf) = 0.60 x 9.80 x 1.5

U(gf) = 8.820 J

Gravitational potential energy changes are;

ΔU(g) = U(gf) - U0

ΔU(g) =  8.820 J - 35.87 J

ΔU(g) = -27.05 J

Result, we can see that the work done through gravity is the opposite of how the gravitational potential energy has changed.

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Answer:

1: the balance after 8 years is approximately $151.78.

2:  is approximately 7%.

Step-by-step explanation:

1: The balance after t years with continuous compounding can be calculated using the formula:

B = Pe^(rt)

Where:

P = 120 dollars (initial deposit)

r = 2.5% = 0.025 (interest rate in decimal form)

t = 8 years

Substituting these values into the formula, we get:

B = 120e^(0.025*8) ≈ 151.78

Therefore, the balance after 8 years is approximately $151.78.

2: The interest rate can be found using the formula:

A = Pe^(rt)

Taking the natural logarithm of both sides and solving for r, we get:

r = ln(A/P) / t

Where:

A = 4055 dollars (final amount)

P = 1000 dollars (initial investment)

t = 20 years

Substituting these values into the formula, we get:

r = ln(4055/1000) / 20 ≈ 0.0774

Converting to a percentage and rounding to the nearest whole number, we get:

r ≈ 7%

Therefore, the interest rate, if compounded continuously, is approximately 7%.

Answer:

1. $146.57

2. 7%.

Step-by-step explanation:

1.

The formula for continuous compounding is:

A = Pe^(rt)

Where:

A = the balance after t years

P = the principal amount

r = the annual interest rate (expressed as a decimal)

t = the time in years

To use this formula, we first need to convert the annual interest rate to a decimal:

r = 2 1/2 = 2.5%

r = 2.5/100 = 0.025

Now we can plug in the values:

A = 120e^(0.025*8)

A ≈ $146.57

Therefore, the balance after 8 years is approximately $146.57

2.

The formula for continuous compounding is: A = Pe^(rt)

Where:

A = the balance after t years

P = the principal amount

r = the annual interest rate (expressed as a decimal)

t = the time in years

We can rearrange this formula to solve for the interest rate:

r = ln(A/P)/t

Where ln represents the natural logarithm.

Now we can plug in the given values:

r = ln(4055/1000)/20

r ≈ 0.069or 7.1%

Therefore, the interest rate, rounded to the nearest whole number, is 7%.

Answer:

75 Miles apart

Step-by-step explanation:

I = inches on a map

I=25

3I=75

75 miles apart