1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?

Answer:

Step-by-step explanation:

1). For a point (0, -15),

   Here x = 0, so the piece of function that applies,

   f(x) = 4x - 15 (Since, x = 0 lies in the range  -2 ≤ x < 4)

         = 4(0) - 15

         = -15

   True.

2). Since, f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex] for x < -2

                     = 4x - 15 for -2 ≤ x < 4

    Which shows a gap between these graphs.

    Therefore, graph has a discontinuity at x = -2

    True.

3). For x > 4,

   f(x) = [tex]3^{x-4}[/tex]

   For every input value of x in the interval (4, ∞), output values of the function will be increasing.

  So this option is TRUE.

4). In the interval (-12, -2),

   Function to be followed → f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex]

   Graph of the given quadratic function opens downwards (Since, coefficient of x² is negative).

   In this graph value of function first increases then decreases.

   So the answer is FALSE.

5). Since, input values of the function 'f' varies from (-∞, ∞)

   Therefore, domain of the function will be (-∞, ∞)

   TRUE.    

Answer:

-True

-True

-True

-False

-False

Step-by-step explanation:

Just took the test and got the same question, i answered the same as the guy above and it is wrong, this is the correct answer.

Make sure your questions are listed in the same order before submitting your answer.

Answer:

C. Circle B and circle H are similar.

Step-by-step explanation:

From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.

In consequence, we conclude that correct answer is C.

Answer:

A is correct

3.75x 1^5 is also written as 375000

Divide 375000 by 75 and u get 5, 000

5 times 10^3 is also 5000

therefore A is correct

Step-by-step explanation:

Answer:

5000 or A. 5 x [tex]10^{3}[/tex]

Step-by-step explanation:

3.75 x [tex]10^{5}[/tex] = 375000

375000/75 = 5000

Answer:

x

Step-by-step explanation:

[tex] \frac{2}{ x3} \times \frac{3}{2} \\ \frac{1}{3} \times 3 \\ \frac{1}{ x3 } \times 3 \\ {x}^{1} \\ x[/tex]

Answer:

-9 is real, 9i is imaginary, C

Step-by-step explanation:

-9 is real because you can literally draw nine things.

9i is imaginary because i is √-1 and square roots of negatives are imaginary.

It is complex because complex expressios are written as a+bi.

Answer:

Step-by-step explanation:

C. Solve for y

Answer:

Step-by-step explanation:

7a^4 + 3a^4 is 10a^4

Answer:

a. The answers obtained are as follows:

Frequency for flossing 7 times per week = 24

Relative frequency for flossing 4 times per week = 0.1231

Cumulative Frequency at flossing 1 time per week = 22

b. The Cumulative Relative Frequency at flossing 7 time per week is 100%.

Step-by-step explanation:

Note: This question is not complete and the data in it are merged together. The complete question is therefore provided with the sorted data before answering the question. See the attached pdf file for the complete question.

The explanation to the answers is now provided as follows:

a. Complete the table (Use 4 decimal places when applicable)

Note: See part a of the attached excel for the complete table (answers are in bold red color)

Frequency is the rate at which something or an event occurs in a particular sample.

Since we already have frequency for others flossing times per week and we have 130 adults as the sample, the frequency for flossing 7 times per week is calculated by deducting the frequencies of others from 130 as follows:

Frequency for flossing 7 times per week = 130 – 10 – 12 – 14 – 18 – 16 – 21 – 15 = 24

Relative Frequency refers to the fraction of times an event occurs. The relative frequencies in this question are calculated by dividing each frequency by the total number of adults in the sample, i.e. 130. The relative frequency for flossing 4 times per week is therefore calculated as follows:

Relative frequency for flossing 4 times per week = Frequency for flossing 4 times per week / Total number of adults in the sample = 16 / 130 = 0.1231

Cumulative Frequency is calculated by adding the current frequency to the previous Cumulative Frequency. The Cumulative Frequency at flossing 1 time per week is therefore calculated as follows:

Cumulative Frequency at flossing 1 time per week = Cumulative Frequency at flossing 0 time per week + Frequency at flossing 1 time per week = 10 + 12 = 22

b. What is the cumulative relative frequency for flossing 7 times per week? %

Note: See part b of the attached excel for the complete table (answer is in bold red color)

The cumulative relative frequency refers to the accumulation of the previous relative frequencies.

Cumulative Relative Frequency is calculated by adding the current relative frequency to the previous Cumulative Relative Frequency. It should be noted that the first cumulative relative frequency equal to the first relative frequency.

The Cumulative Relative Frequency at flossing 7 time per week is therefore calculated in the attached excel file as follows:

Cumulative Relative Frequency at flossing 1 time per week = Cumulative Relative Frequency at flossing 6 times per week + Relative Frequency at flossing 7 times per week = 0.8154 + 0.1846 = 1.0000

Since the question indicates that the Cumulative Relative Frequency at flossing 7 time per week should be stated in percentage term, we therrefore have:

Cumulative Relative Frequency at flossing 7 time per week = 1.0000 * 100 = 100%.

Answer:

$162

Step-by-step explanation:

Step 1: Multiply 540 by .3 (convert 30% to a decimal)

540 x 0.3= 162

Answer:

The answer is D.

Step-by-step explanation:

First, you have to find the area of circle using the formula :

A = π × r²

A = π × 3²

A = 9π

Given that PHU is an equilateral triangle so all sides have a degree of 60°. Next, you have to find the area of minor sector of P and U by using the formula :

A = (θ/360) × π × r²

A = (60/360) × π × 3²

A = 1.5π

Lastly, you have to subtract the area of sector from the area of circle in order to find the area of shaded region :

A = (9π × 2) - (1.5π × 2)

A = 18π - 3π

A = 15π

Answer:

false

Step-by-step explanation:

prokaryotes dont have any nucleous or nuclieiod

Answer:

TRUE

Step-by-step explanation: Prokaryotic cells dont have a  nucleus that contains their genetic material as eukaryotic cells do, instead they have a nucleoid region, which is an irregular-shaped region that contains the cell’s DNA.

Answer:

20x^2 - 107x - 10.

Step-by-step explanation:

8x - 108x - 10 - (9x^2 + 7x -29x^2)

simplifying:

-100x - 10 - (7x - 20x^2)

20x^2-100x - 7x - 10

20x^2 - 107x - 10

Answer:

−9x

2

+x−8

Step-by-step explanation:

Step-by-step explanation:

5x+2y=29

5x-2y=41

add the equations

10x=70

divide both sides by ten

x=7

substitute 7 in the first equation

5(7)+2y=29

simplify

35+2y=29

subtract 35 from both sides

2y=-6

simplify

y=-3 x=7

3x+2y=9

5x+2y=12

subtract the equations

-2x=-3

simplify

x=1.5

substitute

3(1.5)+2y=9

simplify

4.5+2y=9

subtract 4.5 from both sides

2y=4.5

simplify

y=2.25 x=1.5

5x+2y=-9

2x-3y=4

multiply first equation by three and second by two

15x+6y=-27

4x-6y=8

add equations

19x=-19

simplify

x=-1

substitute

15(-1)+6y=-27

simplify

-15+6y=-27

add 15 to both sides

6y=-12

simplify

y=-2 x=-1

Answer:

slope=2 ie m=2

y=2x+b

and to solve b, we put in 4 and 9 into the equation

9=2*4+b, so b=9-8=1

hence y=2x+1

Step-by-step explanation:

Answer:

Student your question is not too clear, please complete the question

Answer:

identity

Step-by-step explanation:

it states that any number times 1 is equal to itself. so when u have 14y, you can multiply it by 1 and it will remain the same.

Answer:

identity

Step-by-step explanation:

Answer:

AD ≅ BC                                         | Given

AD ║ BC                                         | Given

AC ≅ AC                                         |  Reflexive Property

∠DAC ≅ ∠ACB                               | If 2 || lines are cut by a trans., the                                                                       |  alternate interior ∠s are congruent.

ΔADC ≅ ΔBCA                               | S.A.S  Postulate

BA ≅ DC                                         | Corresponding sides of congruent Δs

So, quad. ABCD is a ║gm             | If a quad. has its opposite sides

                                                      | congruent, the quad. is a parallelogram.

Step-by-step explanation:

Step-by-step explanation:

Sorry I'm late I hope that helps:)

Answer:

x = 1, y = 2

Step-by-step explanation:

-5x + y = -3, we get y = 5x - 3.

Then plugs into the second equation, we get

-x - 5 (5x-3) = -11.

-x - 25x + 15 = -11,

-26x = -26

x = 1,

plugs x = 1 to y = 5x - 3, we get y = 2.

Answer:

From eq (1)

[tex]{:}\longrightarrow[/tex][tex]\sf -5x+y=-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=-3+5x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3\dots\dots (3) [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -x-5 (5x-3)=-11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -x-25x+15=-11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-11-15 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-26 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-26}{-26}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y =5 (1)-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=2 [/tex]

[tex]\therefore[/tex](x,y)=(1,2)

Answer:

What

Step-by-step explanation:

Answer :need the options you choose frome

Step-by-step explanation:

Answer:

10. I feel bad for him.

Step-by-step explanation:

Answer:

12i √5

Step-by-step explanation:

12i √5 is the answer. You have a negative square root so the answer must have the i, for imaginary number, in it.

Answer:

The correct answer is 26.8328157

Step-by-step explanation:

All you have to do to get this answer is you have to...

Let sqrt (x) - sqrt(y) be the square root.

6 - sqrt(20) = x + y - 2 * sqrt(xy)

So x+y = 6. And x * y = 5.

Clearly x = 5 and y = 1, as we want positive square root.

Answer = sqrt 26.8328157

Answer:

C I think

Step-by-step explanation:

Answer:

1397.970007

Step-by-step explanation:

Answer: y=-8/5x-4

Step-by-step explanation:

8x+5y=-20

-8x         -8x

5y=-8x-20

/5     /5

y=-8/5x-4

Answer: No real solutions.

Answer:

the numbers are missing here, so I looked for a similar question:

Print-O-Rama

# shirts    total  cost

10                $95

50             $375  

a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.

Value T’s and More offers a proportional relationship since each t-shirt costs $8 regardless of the number of t-shirts

b. What is the constant of proportionality of Value T’s and More? What does it represent?

$8 per t-shirt

f(c) = $8t

the function of total cost = $8 times the number of t-shirts ordered

c. How much is Print-o-Rama’s set-up fee?

using the high-low method

variable cost = ($375 - $95) / /50 - 10) = $7 per t-shirt

fixed cost (set-up fee) = $375 - (50 x $7) = $25

d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.

purchasing 90 t-shirts at Print-o-Rama costs = $25 + (90 x $7) = $655

purchasing 90 t-shirts at Value T’s and More costs = 90 x $8 = $720

you should purchase the t-shirts at Print-o-Rama since the cost is lower.

Answer:

y=2 x=5

Step-by-step explanation:

3x-2y=11

2x-3y=4

you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3

     6x-4y=22

+    -6x-9y=12

--------------------------

0x+5y=10

y=2

you plug that in either equation

3x-2(2)=11

3x-4=11

3x=15

x=5

Answer:

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