Without graphing, describe the transformation of each equation from its parentfunction.Equation y = 3(x - 6)2 - 2: Transformations (Vertical stretch by 3, Right 6, Down 2) True False

Answer:

Anything that makes 64:

x+y=64

Step-by-step explanation:

1+63

2+62

3+61

4+60

5+59

6+58

etc

Answer:

$52

Step-by-step explanation:

Sebastian spent $120 on the airline ticket and $55 * 4 = $<<55*4=220>>220 on the hotel.

So, he spent a total of $120 + $220 = $<<120+220=340>>340 on the airline ticket and hotel.

He has $600 - $340 = $<<600-340=260>>260 left to spend.

He plans to be on the trip for 5 days, so he can spend $260 / 5 = $<<260/5=52>>52 per day.

Step-by-step explanation:

Given :-

And we need to find the slope intercept form of the line . The slope intercept form of a line is y = mx + c , where m is the slope and c is the y intercept. Substitute respective values ,

Solution 1 :-

\(:\implies\) y = mx + c

\(:\implies\) y = 1/4 x + 4

\(:\implies\) 4y = x + 16

\(:\implies\) x - 4y + 16 = 0

Solution 2 :-

\(:\implies\) y - 5 = -4( x +1)

\(:\implies\) y -5 = -4x -4

\(:\implies\) y = -4x +1

Answer:

The circles touch externally.

Step-by-step explanation:

The general equation of a circle is given by;

x² + y² + 2gx + 2fy + c = 0            -------------(i)

Where;

g, f and c are all constants

and;

(-g, -f) gives the centre of the circle

√(g² + f² - c) gives the radius of the circle.

Now compare the given circles with the general equation to find the centres and radii of the two circles.

(i) For circle 1

x²+y²=100

This can be re-written as

x²+y² + 2(0)x + 2(0)y - 100 = 0           --------------(ii)

Comparing equation (ii) with equation (i), we see that;

g = 0

f = 0

c = -100

Therefore,

(a) the centre (-g, -f) of the circle is (0,0)

(b) the radius √(g² + f² - c) of the circle is

=> √(0² + 0² - (-100))

=> √(100)

=> 10

(i) For circle 2

x²+y²-24x -10y +160=0

This can be re-written as

x²+y² + 2(-12)x + 2(-5)y + 160 = 0           --------------(iii)

Comparing equation (iii) with equation (i), we see that;

g = -12

f = -5

c = 160

Therefore,

(a) the centre (-g, -f) of the circle is (12,5)

(b) the radius √(g² + f² - c) of the circle is

=> √((-12)² + (-5)² - (160))

=> √(144 + 25 - 160)

=> √9

=> 3

(iii) Two circles touch externally if the distance between their centres is equal to the sum of their radii.

(a) Let's calculate the distance (d) between the centres of the circles as follows;

d = √(x₂ - x₁)² + (y₂ - y₁)²

Where;

x₂ and x₁ are the x-coordinates of the centres of the first and second circles respectively i.e x₂ = 12 and x₁ = 0

y₂ and y₁ are the y-coordinates of the centres of the first and second circles respectively i.e y₂ = 5 and y₁ = 0

=> d = √(12 - 0)² + (5 - 0)²

=> d = √(12)² + (5)²

=> d = √169

=> d = 13

(b) Let's calculate the sum (s) of the radii of the two circles.

s = 10 + 3

s = 13

Now, since the distance between their centres is equal to the sum of their radii, the two circles does touch externally.

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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Answer:

a) X take values in the interval [0; 1].

b) k = 20

c) P(X≥0.7)=0.46

Step-by-step explanation:

As X represents percentage of iron contained in an ore sample taken from a particular region, it can take values within 0 (0%) and 1 (100%).

Within this values (0 and 1), to be a valid probability density function, the area under the curve of the density probability function has to be 1. This will allow us to calculate the value of k.

This can be written as:

\(\int\limits^1_0 {kx^3(1-x)} \, dx=1\\\\\\k \int\limits^1_0 {(x^3-x^4)} \, dx=1\\\\\\k\left(\dfrac{x^4}{4}-\dfrac{x^5}{5} \right) |_{0;1}=1\\\\\\k\left(\dfrac{1^4}{4}-\dfrac{1^5}{5} \right)-k \left(\dfrac{0^4}{4}-\dfrac{0^5}{5} \right)=1\\\\k\cdot \dfrac{5-4}{20}=1\\\\\\k\cdot \dfrac{1}{20}=1\\\\\\k=20\)

Now, we have to calculate the probability that x≥0.7 (ore sample contains at least 70% iron).

This can be calculated as:

\(P(x\geq0.7)=\int\limits^1_{0.7} {20x^3 (1-x)} \, dx \\\\\\P(x\geq0.7)=20\left(\dfrac{1^4}{4}-\dfrac{1^5}{5}\right)-20\left(\dfrac{0.7^4}{4}-\dfrac{0.7^5}{5}\right)\\\\\\P(x\geq0.7)=1-20(0.060-0.033)=1-0.54=0.46\)

Answer:

2 yards is= to 6 feet

6 feet - 1.5 feet = 4.5 feet of pipe left

Step-by-step explanation:

next time, fix the question after you copy and paste it so it doesn't look as messed up

Answer:

I need points

Step-by-step explanation:

Srry for not knowing the answer but at least you'll get something intresting to look at...

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Answer:

Step-by-step explanation:

should be A.

Answer:

Hope you can understand my handwriting though

Given the multiplication table in base 3;

From the multiplication table, 2 into 11 is 2;

Going further, we have;

Using the multiplication table, the first number in the quotient is 2. Completing the division, the quotient is 202.

2x + 3x + 140 = 360 (being complete turn angle)

5x + 140 = 360

5x = 360-140

5x = 220

x = 44

now 2x = 2 × 44 = 88

3x = 3 × 44 = 132

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

Step-by-step explanation:

The equation

There are three area options for the number of bricks:

The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:

n = A / A'

A' = w · h

Where:

There are three possible answers:

Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm

A' = 22.5 · 10

A' = 225

n = 93750 / 225

n = 416.667

n = 416

Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm

A' = 22.5 · 7.5

A' = 168.75

n = 93750 / 168.75

n = 555.556

n = 555

Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm

A' = 10 · 7.5

A = 75

n = 93750 / 75

n = 1250

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Hey there!

Basically for all of your equations/questions you have to COMBINE the LIKE TERMS (if they are any in the particular equation you have)

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

QUESTION/EQUATION #1

x - 5 ÷ 3 + b

We pretty much CANNOT do anything to this equation because it doesn’t have that many like terms.

So, thus your answer will most likely be/

[b + x - 5 ÷ 3]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

QUESTION/EQUATION #2

6b + 15b ÷ 3

= 21b ÷ 3

= 7b

Thus, your answer is: [7b]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #3

c - 2c × 4

REWRITE

= 1c - 2c × 4

COMBINE the LIKE TERMS

= 1c - 7

= -7c
Thus, your answer is: [-7c]

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:  

I think the answer is -3/4

Step-by-step explanation:

Let x = a number

(2x)(5) = 9x - (3/4)

10x = 9x - (3/4)

Subtract 9x on both sides of equation.

x = -3/4

Answer:

a e f and g I think this because it has to be then they say that then ya

Answer:

A → C = 150h + 250 ( where C is charge )

B → C = 175h + 150

for 26 hours

A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150

B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700

Attorney A is cheaper for 26 hours, thus better deal

Equate the 2 equations to find hours they charge the same

175h + 150 = 150h + 250 ( subtract 150h from both sides )

25h + 150 = 250 ( subtract 150 from both sides )

25h = 100 ( divide both sides by 25 )

h = 4 ← number of hours when charges for both are equal

Attorney A becomes a better deal at 5 hours

Step-by-step explanation:

New data point is residual.

When a data point is added or removed from the whole dataset, it might cause a significant change in the regression equation by either changing the slope or the relationship coefficient existing between the variables.

An influential point is one that changes the relationship existing between the dependent and the independent variables significantly in either direction.

Since the new observed data point decreases the slope of the regression line but increases the correlation coefficient existing between the independent and the dependent variable, we can probably say that the new data point is an influential point.

Thus, Option B. is correct.

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Answer:

x = 3; y = 8

Step-by-step explanation:

Sides KI and KE are congruent.

4x = 12

x = 3

Sides IT and ET are congruent.

3y - 4 = 20

3y = 24

y = 8

Answer: x = 3; y = 8

Answer:

            4  to  1

Step-by-step explanation:

                                                Tablespoon of cocoa   to Tablespoon of sugar

                                                                          8             :                2

                                                                          \(\frac{8}{2}\)              :                \(\frac{2}{2}\)

                                                                          4             to                1

When recipe is doubled:                             ( 8 x 2)         to        (2 x 2)

                                                                         16             :              4

                                                                         \(\frac{16}{4}\)             :               \(\frac{4}{4}\)

                                                                          4           to              1

It can be observed that the ratio remains the same

Below are some general reasons why a questionnaire might not be suitable:

Poorly constructed questions: If the questions in the questionnaire are not clear, ambiguous, leading, or biased, then the responses obtained may not be accurate or reliable. Poorly constructed questions may also lead to confusion, misunderstandings, and errors.

Lastly Inadequate sampling: If the sampling technique used to select respondents is not representative of the target population, then the results obtained may not be generalizable or applicable to the larger population. The sample size and composition may also affect the validity and reliability of the results.

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Answer:

x=2,x=4

So, the 6-meter side will be 2 centimeters and the 12-meter side will be 4 centimeters in the drawing.

Step-by-step explanation:

Solve for x by using cross multiplication

6=3x

x=2

12=3x

x=4

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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Step-by-step explanation:

=(7x)^2-(y)^2

=(7x+y) (7x-y)

Therefore, a^2-b^3

=(a+b) (a-b)

Answer:

  7 years

Step-by-step explanation:

We expect your equation is ...

  200e^(.08t) = 350

Dividing by 200 and taking the natural log, we have ...

  0.08t = ln(1.75)

  t = ln(1.75)/.08 ≈ 7.0

The money has been invested 7 years.

Answer:

Step-by-step explanation:

Bill: $75.00

Tip: $13.50

Total: $88.50

I hope it helps and have a good day

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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