if f(x)=6x-9, find f(4)

Answer:

B

Step-by-step explanation:

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A line segment that forms a right angle with another segment at its midpoint is a perpendicular bisector.

Option B is the correct answer.

A line segment is part of a line that is bounded by two distinct endpoints and contains every point on the line between its endpoints.

It can be measured by its length and is finite in size.

We have,

A perpendicular bisector is a line or line segment that cuts another line segment into two equal parts and forms a right angle with it.

The midpoint of the line segment is the point where the perpendicular bisector intersects it.

Therefore, if a line segment forms a right angle with another segment at its midpoint, it is a perpendicular bisector since it cuts the segment into two equal parts and forms a right angle with it.

Thus,

A line segment that forms a right angle with another segment at its midpoint is a perpendicular bisector.

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Answer:

Both players will need to play 7 more games to have the same score.

Step-by-step explanation:

Will makes 18 points per game and Tom makes 21 points per game. Will has a total of 483 points and Tom has 462 points.

We have to calculate the number of games Tom and Will need to play for them to have the same number of points. Since Tom makes more points per game, we're sure it will eventually happen.

Let's call x to the number of games that both players will play. Will will have a number of points equal to:

W = 483 + 18x

And Tom will have:

T = 462 + 21x

For both number of games to be equal, the equation to solve is:

483 + 18x= 462 + 21x

Move 18x to the right side and 462 to the left side:

483 - 462 = 21x - 18x

Operating:

21 = 3x

x = 21 / 3 = 7

Thus, both players will need to play 7 more games to have the same score.

Answer: Cost of  a giant cookies = $1.39

Cost of a cake= $6.95

Cost of a pie= $4.95

Step-by-step explanation:

Let price of a giant cookie = x

Then,

price of a cake = 5x

Price of a pie = 5x-2

Cost of  30 cakes, 40 pies, and 200 giant cookies = 30 (5x)+40(5x-2)+200x

= 150x+200x-80+200x   [By distributive property a(b+c)=ab+ac]

= 550x-80

Given cost = $684.50

[tex]\Rightarrow\ 550x-80=684.50\\\\\Rightarrow\ 550x= 684.50+80[/tex]

[tex]\Rightarrow\ 550x=764.50\\\\\Rightarrow\ x=\dfrac{764.50}{550}\\\\\Rightarrow\ x=1.39[/tex]

Cost of  a giant cookies = $1.39

Cost of a cake = 5 x $1.39  = $6.95

Cost of a pie = $6.95 -  $2 = $4.95

Answer:

2300

Step-by-step explanation:

Answer:

y = -7/3x + 5

Step-by-step explanation:

7x + 3y = 15

- subtract 7x from both sides

3y = -7x + 15

- divide both sides by 3

y = -7/3x + 5

Answer:

12 hours

Step-by-step explanation:

15/2=7.5

90/7.5 = 12

Answer:

C. 35

Step-by-step explanation:

I just went through all the numbers, multiplied them by 2, because you start with x which is 50, and the goal is to get to 120 with 50 and a number multiplied by two, so I tried 35 which would be 70 when multiplied by two, then added 50, which would make 120.

Answer:

Improper Fraction: 19/5  Mixed number: 3 and 4/5

Step-by-step explanation:

1. Convert to improper fraction= 33/10

2. 1/2 is also equal to 5/10

3. add 33/10 and 5/10 = 38/10

4. Simplify = 19/5  

I hope this helped!

Answer:

12

Step-by-step explanation:

Answer:

2.5y=amount spent on drinks

Step-by-step explanation:

If chips are $2 and drinks are $2.50 and we do not know how many he bought of each, we put this into an equation which is

2x+2.5y

x=number of bags of chips while the 2 is two dollars per bag

so, if he bought 2 bags of chips 2(2)= $4 spent.

y= number of drinks and 2.5 is $2.5 per drink, so if he bought 4 drinks:

2.5(4)= $10 spent on drinks.

Answer:

9

Step-by-step explanation:

The absolute value of any number is just its distance from 0.

-4 is 4 away from 0, so its absolute value is 4.

-5 is 5 away from 0, so its absolute value is 5.

Therefore, the equation is basically just asking what is 4 + 5, which is 9 :D.

Answer:

9

Step-by-step explanation:

The bars around the two numbers imply that it wants you to find the absolute value. Absolute value is the distance a number is from zero since distance is always positive to find the answer just make the number positive. Following this rule l-4l=4 and l-5l=5. Then add them together 4+5=9.

 the answer is 154 count by 4's

Step-by-step explanation:

14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,158,162

Answer:

the answer is 154

Step-by-step explanation:

you add 4 every time

Answer:

The symbol stands for an unknown number, the symbol y stands for an unknown number and the symbol 2 stands for a known number, two. In algebra when two symbols that stand for a number are placed beside each other the operation between them is taken to be multiplication.

Step-by-step explanation:

Answer:

.079 is the smallest

Answer:

.079 would be smaller than .12.

Step-by-step explanation:

Since the tenths place in .079 has a zero and tenths place in .12 has a 1, .12 would be larger.

Answer:

31.25%

Step-by-step explanation:

Answer:

$110 for the week

$30 commission

Step-by-step explanation:

Answer:

a: Tanθ = x/y

Step-by-step explanation:

We should recall the trigonometric ratios:

A way to remember this is SOH, CAH, TOA

To solve, we test each option and see if they align with the trigonometric ratios

(see image)

Answer:

(a) The difference between Kate's IQ and the mean is 21

(b) The z score is 1.4

Step-by-step explanation:

Here is the complete question:

IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean (b) Convert Kate's IQ score to a z score.

Step-by-step explanation:

(a) To determine the difference between Kate's IQ and the mean, this can be done by subtracting the mean from Kate's IQ.

Mean = 100

Kate's IQ = 121

Difference between Kate's IQ and the mean = 121 - 100 = 21

Hence, the difference between Kate's IQ and the mean is 21.

(b) To convert Kate's IQ score to a z score,

z score is given by the formula

[tex]z =\frac{x - \mu}{\sigma}[/tex]

Where [tex]x[/tex] is the score

[tex]\mu[/tex] is the mean

and [tex]\sigma[/tex] is the standard deviation

From the question,

[tex]x[/tex] = 121

[tex]\mu[/tex] = 100

[tex]\sigma[/tex] = 15

Then, the z score is

[tex]z =\frac{x - \mu}{\sigma}[/tex]

[tex]z =\frac{121 - 100}{15}[/tex]

[tex]z =\frac{21}{15}[/tex]

[tex]z =\frac{7}{5}[/tex]

z = 1.4

Hence, the z score is 1.4.

Answer:

83.85%

Step-by-step explanation:

The formula for confidence interval

= Mean ±( z × Standard deviation/√n)

Confidence Interval = Mean ± Margin of Error

Mean = 4.20mm

n = 87

Standard deviation = 0.10mm

z = ????

Hence:

Confidence Interval = Mean ± Margin of Error

Step 1

We find the Margin of Error

(4.185, 4.215) = 4.20 ± Margin of Error

4.20 - 4.185 = 0.015

4.215 - 4.20 = 0.015

Hence, Margin of Error = ± 0.015

Step 2

We find the z score

Margin of Error = z × Standard deviation/√n

±0.015 = z × 0.10/√87

± 0.015 = 0.0107211253z

z = ±0.015/0.0107211253

z = 1.39910686428

z score ≈ 1.4

Step 3

We find the confidence interval that corresponds to 1.4

Using the z table to find the Probability

P(z = 1.4) = 83.85%

Therefore, the level of the confidence interval (4.185, 4.215) is 83.85%

Answer:

[4.1mm to 4.3mm]

Step-by-step explanation:

Sample size = 87 glass sheets

Sample mean = 4.2mm

Sample standard deviation = 0.1mm

Confidence interval or level = the range from lower limit of sample mean to upper limit of sample mean

[4.2 - 0.1] to [4.2 + 0.1]  = [4.1mm to 4.3mm]

Answer:

7 bottles

$10

Step-by-step explanation:

multiply

1/6×42= 7 bottles

5/9×18= $10

Answer:

87

the pack is 16 and there are 6 cans in the pack and he drank nine

16*6-9

Answer:

It will take 6.66 minutes to complete one lap.

Answer:here

Step-by-step explanation:

Answer:

The answer to part b is 31

You would be facing Northeast.

The value of ( i )³⁸ will be equal to -1. The correct option is B.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression ( i )³⁸ is the I value of the complex number. The I value of the complex number is equal to the square root of the negative one. The expression will be solved as below:-

( i )³⁸ = (√-1)³⁸

( i )³⁸ = -1

Therefore, the value of ( i )³⁸ will be equal to -1. The correct option is B.

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