what is the y-intercept of x^2-6x+9

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

6.11/104

Answer:

(3,-2)

Step-by-step explanation:

Given equations of line

3x-2y=13

2y+x+1=0​

=> x = -1 -2y

Point of intersection will coordinates where both equation have same value of (x,y)

top get that we have to solve the both equations by using method of substitution of simultaneous equation.

using this value of x in 3x-2y=13, we have

3(-1-2y) -2y = 13

=> -3 -6y-2y = 13

=> -8y = 13+3 = 16

=> y = 16/-8 = -2

x = -1 - 2y = -1 -2(-2) = -1+4= 3

Thus, point of intersection of line is (3,-2)

Answer:

a

Step-by-step explanation:

Answer:

26.8875

Step-by-step explanation:

Answer:

You will spend $26.98875 on gasoline

Answer:

solution below

Step-by-step explanation:

The question says 6 working mother's were selected so n = 6 not 0.6

We are expected to find

P(X = 0,1,2,3,4,4,6)

1. When x = 0

6C0*(0.34)⁰*(0.66)⁶

= 1 *1* 0.827

= 0.0827

2. When X = 1

6C1*(0.34)¹*(0.66)⁵

= 6 x 0.34 x 0.252

= 0.2555

3. When X = 2

6C2*(0.34)²*(0.66)⁴

= 15 x 0.1156 x 0.1897

= 0.3289

4. When x = 3

6C3*(0.34)³*(0.66)³

20 x 0.039304 x 0.2875

= 0.2599

5. When X = 4

6C4*(0.34)⁴*(0.66)²

= 15 x 0.01336 x 0.4356

= 0.8729

6. When x = 5

6C5*(0.34)⁵*(0.66)¹

= 6 x 0.0045 x 0.66

= 0.01782

7. When x = 6

6C6*(0.34)⁶*(0.66)⁰

1 x 0.0015 x 1

= 0.0015

This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.

Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

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Answer:

It doesn't specify so . . .

If its the bottom right it's 90°

If it's the bottom left it's 48°

Step-by-step explanation:

Ok so first, the triangle is a right triangle

meaning there's  a 90° angle

Great, We now know two angles

90° and 42°

All angles of a triangle add up to 180

so we make it into an equation

and solve it.

42 + 90 + 6x = 180

132 + 6x = 180

-132         -132

6x  = 48

Divide by 6 to leave x by itself.

x = 8

Now we can see what 6x actually is

6 ( 8 ) = 48

Note: This is for the bottom left angle. 6x

Answer:

\( \boxed{ \bold{ \boxed{ \sf{(x - 7)(x - 6)}}}}\)

Step-by-step explanation:

\( \sf{ {x}^{2} - 13x + 42 }\)

Here, we have to find the two numbers that adds to 13 and multiplies to 42.

The numbers are 7 and 6

\( \sf{ {x}^{2} - (7 + 6)x + 42}\)

⇒\( \sf{ {x}^{2} - 7x - 6x + 42}\)

Factor out x from the expression

⇒\( \sf{x(x - 7) - 6x + 42}\)

Factor out 6 from the expression

⇒\( \sf{x(x - 7) - 6(x - 7)}\)

Factor out x - 7 from the expression

⇒\( \sf{(x - 7)(x - 6)}\)

Hope I helped!

Best regards!!

Answer:

x-7 For AP EX peeps

Step-by-step explanation:

Answer: B. 3/8

Step-by-step explanation:

3/10n=-4/5

We move all terms to the left:

3/10n-(-4/5)=0

Domain of the equation: 3/10=8

n=3

n!=8

n=R

We get rid of parentheses

3/10n+4/5= 3/8

Answer:

n= (4/5)(3/10)

n=4/5 * 10/3

n=8/3

n=2 2/3

Step-by-step explanation:

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:

��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!

For the rock songs, we have three from a set of eleven, hence:

�11,3=11!3!8!=165C11,3=3!8!11!=165

For the alternative songs, we have four from a set of five, hence:

�5,4=5!4!1!=5C5,4=4!1!5!=5

For the rap songs, we have three from a set of four, hence:

�4,3=4!3!1!=4C4,3=3!1!4!=4

Since the songs are independent, the total number of ways is given by:

�=165×5×4=3300T=165×5×4=3300

hope this helps you

Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:

��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!

For the rock songs, we have three from a set of eleven, hence:

�11,3=11!3!8!=165C11,3=3!8!11!=165

For the alternative songs, we have four from a set of five, hence:

�5,4=5!4!1!=5C5,4=4!1!5!=5

For the rap songs, we have three from a set of four, hence:

�4,3=4!3!1!=4C4,3=3!1!4!=4

Since the songs are independent, the total number of ways is given by:

�=165×5×4=3300T=165×5×4=3300

hope this helps you

Answer:

Step-by-step explanation:

Alan made an error in assuming that the distance between -8 and 3 on the x-axis is the same as the distance between -8 and the y-axis, and between 3 and the y-axis. This is not necessarily true, as the distance between two points on a coordinate plane is given by the Pythagorean theorem:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using this formula, we can find the actual distance between points A and B:

distance = sqrt((3 - (-8))^2 + (-4 - (-4))^2)

distance = sqrt(11^2 + 0^2)

distance = sqrt(121)

distance = 11

So the actual distance between points A and B is 11 units.

Therefore, Alan's error was assuming that the distance between A and B is simply the difference in the x-coordinates, which is not the case.

Answer:

Step-by-step explanation:

Slope of the line:

\(m = \frac{y-y1}{x-x1} \\\)

Given:

slope = -3/4

point (x1,y1) = (2, -1)

Substitute and solve

\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)

1/2 is the y-intercept

(0,1/2)

Since we have 2 points already, we can then graph the line.

(2, -1) and (0, 1/2)

(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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Answer:

what are the options???

Answer:

c= -1 +sin(x), Xer

Step-by-step explanation:

Answer:

I hope this will help you

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

The number of tiles required to fill the space while also requiring the fewest tiles to be cut is 5 .

What is area ?

Area can be defined as the total space taken by  a 2-dimensional surface or shape of an object.

Given

Jake has a floor that is 64 square feet.

He wants to tile the entire floor using large tiles that measure 3 feet by 5 feet.

The area of 3 feet by 5 feet could be  = 3 * 5 = 15 square meters.

number of tiles required to fill the space could be  = 64 / 15

that is 4.3 (approx )

Hence , the number of tiles required to fill the space while also requiring the fewest tiles to be cut is 5 .

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The value that will be in the blank would be = 165

The percentage that will like to run that prefer summer = 60%

On the given table, the total amount of individuals in each column should be the same.

Therefore, for the bike column = 231 + 87 = 318

Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.

To find the percentage that will like to run that prefers summer, the following is carried out;

The number of people that will like to run = 231

The number of people that will like to bike = 153

Total = 153+231 = 384

Therefore percent = 231/384×100/1

= 23100/384

= 60%

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9514 1404 393

Answer:

  (27, 0); the time it takes to reach the bus stop

Step-by-step explanation:

Since (x, f(x)) represents (time, distance away), the x-intercept will be the time when the distance away is zero. That is, it is the time it takes to reach the bus stop.

The distance decreases by 5 meters for each time increase of 3 minutes, so to decrease the distance by 45 meters takes 9 times 3 = 27 minutes. The x-intercept is (27, 0).

The x-intercept is (27, 0).

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given:

Time (in minutes) x Distance (in meters)

0                                      45

3                                      40

6                                      35

9                                      30

12                                     25

Now, x-intercept will be the time when the distance is zero.

That is, it is the time it takes to reach the bus stop.

As, in every 3 minutes the distance decrease by 5 units.

so, to decrease the distance by 45 meters it takes 9 * 3 = 27 minutes.

Hence, The x-intercept is (27, 0).

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The equation of the line in slope-point form is:

y - 7 = -4/5(x + 6)

The equation of a line in slope-point form is given by:

y - y₁ = m(x - x₁)

where:

(x₁, y₁) represents the coordinates of a point on the line.

m represents the slope of the line.

m = (y₂ - y₁)/(x₂ - x₁)

(x₁, y₁) represents the coordinates of the 1st point on the line

where (x₂, y₂) represents the coordinates of the 2nd point on the line

We have

(x₁, y₁) = (-6, 7)

(x₂, y₂) = (4, -1)

m = (y₂ - y₁)/(x₂ - x₁)

m = (-1 - 7) / (4 - (-6))

m = -8/10

m = -4/5

Using y - y₁ = m(x - x₁):

y - 7 = -4/5(x - (-6))

y - 7 = -4/5(x + 6)

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Answer:

y = x - 5

Step-by-step explanation:

Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.

In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:

-11 = -6  + b

Then b must be -5, and so the desired new equation is

y = x - 5

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Answer:

Exact Form:

x = -1/3

Decimal form

x =0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helped. :)

The percentage of the children take the bus to school will be 60%.

It is vital to note that percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, there are 9 children in a class who takes the bus, and there are 15 total children in the class.

The percentage of the children take the bus to school will be:

= Bus takers / Total children × 100

= 9/15 × 100

= 60%

The percentage is 60%.

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Answer:

5e

5(e)

Step-by-step explanation:

please mark this answer as brainliest

Receiving $4.88 dividend out of the closing stock price of $59.95, means that the stock yield is 8.1%

Dividend is defined as a distribution of payment by a company to its shareholders that is originated from the company's profit and is payable to the shareholders every quarter in a given year, while stock yield is defined as an income generated by the stock being held by the shareholders.

To determine the percentage of stock yield, we will need to divide the closing price of the stock which is $59.95 with the amount of dividend distributed for each stock held which is $4.88, and the calculation is as follows:

59.95/4.88×100%=8.1%

Therefore the stock yield is 8.1%

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Answer:

Mr. Harry has 5 children.... I know what you were going for...