Please help 50 points

Please Help 50 Points

Answers

Answer 1

Answer:

0 < y <= 6

Step-by-step explanation:

Given:

√(x² - 6x + 9)

if -3 <= x < 3

you can write (x² - 6x + 9)

as (x-3) * (x- 3) which is (x-3)²

so now you have √{(x-3)²}, which is the same as the absolute value of x-3. In mathematics it is written as:

| x - 3 |

So √(x² - 6x + 9) = | x - 3 |

See the graph in the attachment.

for -3 <= x < 3

you get the y values bigger then ( but not equal to) 0 and smaller then or equal to 6.

This is written as 0 < y <= 6

Please Help 50 Points
Answer 2

Answer:

x-3

Step-by-step explanation:

[tex]\sqrt{x^2 -x+9\\[/tex]

First rewrite 9 as 3^2 so... [tex]\sqrt{x^2 -6x+3^2}[/tex]

Next multiply the equation by 2ab so... 2ab =  2 · x · -3

Simplify so... 2ab = -6x

Then use the Perfect Square Trinomial rule: a^2 - 2ab + b^2 = (a-b)^2

so.. a = x and b = -3 to look like this: [tex]\sqrt(x- 3^2)[/tex]

And then finally pull out terms under the radical to get...

x-3


Related Questions

pls help ASAP for brainliest answer

Answers

Answer:

324cm^3

Step-by-step explanation:

The formula for calculating volume of a triangular prism is 1/2× bhl (b : base, h : height, l : length)

1/2 × 6 × 9 × 12 = 324cm^3

Simplify the following expression

Answers

Answer: 0.25 or 1/4

Step-by-step explanation:

1/2*2 = 1/2^2 = 1/4

What is the first step in solving the quadratic equation x2 – 40 = 0?A) taking the square root of both sides of the equationB) adding 40 to both sides of the equationC) squaring both sides of the equationD) subtracting 40 from both sides of the equation

Answers

Answer:

The correct answer is "B", we first need to add 40 to both sides of the equation.

Step-by-step explanation:

Since we have the following quadratic equation:

[tex]x^2 - 40 = 0[/tex]

The first step to solve it is to isolate the independent variable, "x". To do that we must add +40 on both sides of the equation, since that way the "-40" on the left will be gone in a way that maintains the validity of the equation as shown below:

[tex]x^2 - 40 = 0\\x^2 - 40 + 40 = 40\\x^2 = 40[/tex]

After this step we take the square root of both sides:

[tex]\sqrt{x^2} = \sqrt{40}\\x = \pm \sqrt{40}\\x = \pm \sqrt{4*10}\\x = \pm 2*\sqrt{10}[/tex]

Therefore the correct answer is "B".

The sum of two integers is two times their difference. Which of the following algebraic equations demonstrates this? A) (x + y) = 2(x - y) B) (x + y) = (x - y) + 2 C) (x + y) = (x - y) - 2 D) 2(x + y) = 2(x - y) E) 2(x + y) = (x - y)

Answers

Answer:

It is A)

Step-by-step explanation:

There are group of 20 friends. Every one is a supporter of either Chennai Super Kings or Kolkata Knight Riders or both. If 15 of them support Chennai Super Kings and 10 of them support Kolkata Knight Riders, (i) the number of people who supports both Chennai Super Kings and Kolkata Knight Riders is ____. (ii) the number of people who support only Chennai Super Kings is ____. (iii) the number of people who support only Kolkata Knight Riders is ____.

Answers

Answer:

CSK = Chennai Super Kings

KKR = Kolkata Knight Riders

City
Atlanta
Positive Response to Program 1 Positive Response to Program 2
77.8%
82.1%
Boston
86.4%
86.6%
65.9%
Chicago
Dallas
87.5%
73.8%
80.9%
69.796
79.4%
78.4%
88.1%
Houston
Los Angeles
Miami
Newark
82.596
82.6%
81.496
83.3%
Total
68.89
81.7%
The probabilities of a positive response to two government programs from citizens in eight cities are given in the table. What is the chance of
a positive response for program 1, given that the individual is from Houston?
ОА
68.896
OB.
69.796
OC.
79.496
OD
insufficient data

Answers

Answer:

The correct option is (B) 69.7%.

Step-by-step explanation:

The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.

The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city x.

The probability a positive response for program 1 from an individual from Houston is 69.7%.

Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.

Thus, the correct option is (B).

Count the possible combinations of 2 numbers chosen from the list 99 98 97 96 95 94 93 92 91

Answers

The number of ways to choose r objects out of n objects is:
C(n,r) = (n!)/(r! * (n-r)!)

The number of ways to choose 2 numbers out of a list of 9 numbers is:
C(9,2) = 9! / (2! * 7!)
= 9*8 / 2!
= 9*8/2
= 36

Here are all the possible combinations:
98 97
98 91
98 93
98 99
98 96
98 94
98 92
98 95
97 91
97 93
97 99
97 96
97 94
97 92
97 95
91 93
91 99
91 96
91 94
91 92
91 95
93 99
93 96
93 94
93 92
93 95
99 96
99 94
99 92
99 95
96 94
96 92
96 95
94 92
94 95
92 95

The diameter of a circle is __________.

A. The distance around the circle
B. The distance from the center point to any edge of the circle
C. The distance across the circle that cuts it in half.
D. The same as its circumference

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer: The answer is C

May I get Help With this Task 1,2,3,4,5

Answers

Answer:

1. We'll be looking at g(x) and from the table when x = 3,000 Angela owes 44,600 dollars.

2. f(3) = 2000

   g(2000) = 45,000

3. g(3,500) = 44,400 and f(6) = 3,500 so the answer is 44,400 - 3,500 = 40,900.

4. From the table when f(x) = 2,500, x = 4.

5. From the table when g(x) = 44,200, x = 4,000.

Answer:

1. when f(x) = $ 3000 the loan still 44,600

2. f(3) means her saving in 3rd month. so f(3) is 2000 then g(2000) is 45000

3. g(3500) - f(6) = 44400 - 3500 = 40,900

4. based on table f(x), x is 4

5. based on table g(x) (the right one), x is 4000

factor completely 81x2-4

Answers

Answer:

(9x-2)(9x+2)

Step-by-step explanation:

81x^2 - 4

Rewriting as

(9x)^2 - 2^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(9x-2)(9x+2)

Answer:

(9x + 2)(9x - 2)

Step-by-step explanation:

To factor this expression, you can use a neat trick called difference of squares.

Difference of squares tells us:

a^2-b^2 = (a+b)(a-b)

Now look at the expression we have here:

81x^2 - 4

well, we know that 81 is 9^2, x^2 is literally x^2, and 4 is 2^2

So we can rewrite this as:

(9x)^2 - 2^2

By difference of squares that gives us:

(9x + 2)(9x - 2)

what is the length of PR?

Answers

here, 7=21 7=thrice of 7=21so, 3x=27 x=27/3 x=9 PR=9

Hope it helped :-)

Answer:

PR is 9 units long.

Step-by-step explanation:

You can see that triangle YXZ and QPR are similar because they have 2 angles in common. This means that they have a scale factor between them. The scale factor between triangle YXZ and QPR happens to be 1/3, as you can see, side QP is 1/3 times of corresponding side YX. To find PR, you just need to check how long its corresponding side is. XZ is 27 units long, and 1/3 of 27 is 9 units.

Scientific notation
9.78 × 10^5 - 732,000
It has to be either 2.46 × 10^5 or 2.46 × 10^3

Answers

Answer:

[tex]2.46\times 10^5[/tex]

Step-by-step explanation:

[tex]9.78 \times 10^5 - 732,000\\= 9.78 \times 10^5 - 7.32 000\times 10^5\\= 9.78 \times 10^5 - 7.32\times 10^5\\= 2.46\times 10^5[/tex]

You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in
half. What are the largest dimensions of this enclosure that you could build?

Answers

Let x = length and y = width

You would have 2 lengths, so 2x and 3 widths, so 3y

Those need to equal total length of fence:

2x + 3y = 1200

The 3 widths would equal total fence minus the 2 lengths:

3Y = 1200-2x

Solve for y: y = 400 -2/3x

Area = length x width = xy. Replace y :

Area = x(400-2/3x) = 400x-2/3x^2

Differentiate:

400-4x/3 =0

4x/3 = 400

4x = 1200

X = 300

Y = 400-2/3(300) = 200

The dimension would be 300 ft x 200 ft

9 sec2 A - 9 tan2 A=

Answers

- 1.96162289 amperes

hcglnlkl gzfog dufkbicfhpffkgdhjdk

Patrick made a cake for his mother's birthday. He started making the
cake batter at 9:00 A.M. It took 1 hour and 15 minutes to make the
batter. Then, the cake baked in the oven for 1 hour.
What time did the cake come out of the oven?
Show your work

Answers

Answer: 11:15 AM

Step-by-step explanation:

9:00 plus an hour and 15 minutes (75 minutes) makes it 10:15.  Then bake for an hour (60 minutes), makes it 11:15

Answer:

what she saisddddddddddd

Step-by-step explanation:

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

(x+4)

Step-by-step explanation:

Since area is width times length, you can just factor the area to get the width and length

You factor to get (x+4)(x+7)

Since (x+7) is the length, (x+4) must be the width

Answer:

(x + 4) m

Step-by-step explanation:

[tex]Area \: of \: rectangle = length \times width \\ \\ width = \frac{Area \: of \: rectangle}{length} \\ \\ = \frac{ {x}^{2} + 11x + 28 }{x + 7} \\ \\ = \frac{ {x}^{2} + 7x + 4x + 28}{x + 7} \\ \\ = \frac{ x({x} + 7) + 4(x + 7)}{x + 7} \\ \\ = \frac{ ({x} + 7) (x + 4)}{x + 7} \\ \\ = (x + 4) \: m \\ \\ \red{ \boxed{\bold {\therefore \: width \: = (x + 4) \: m}}} [/tex]

Raoul is y years old . Kayla is 6 years older than raoul and lsaac is 4 years younger than raoul find kaylas age

Answers

Answer:

20

Step-by-step explanation:

Let Kayla's age be k.

Let Isaac's age be a.

Kayla is 6 years older than Raoul. This means that:

k = y + 6

lsaac is 4 years younger than Raoul. This means that:

a = y - 4

y = 12

=> k = 12 + 6 = 18

and

a = 12 - 4 = 8

The sun of Raoul's age and Isaac's age is:

12 + 8 = 20

Sidney is eating lunch at a salad bar where you create your own salad. An 8-ounce salad costs $2.49. Each additional ounce of salad costs $0.25. How much does Sidney's salad cost if it weighs 1 pound, 8 ounces?

Answers

Answer:

6.49

Step-by-step explanation:

2.49 + 0.25(16)

2.49+4

6.49

Answer:

$6.49

Step-by-step explanation:

1 lb = 16 oz

His salad weighs 1 lb, 8 ounces which is the same as 16 ounces plus 8 ounces.

8 ounces cost $2.49

His salad weighs 16 ounces more than 8 ounces, so in addition to the $2.49, he needs to pay $0.25 per ounce for 16 extra ounces.

16 * 0.25 = $4.00

Total cost = $2.49 + $4.00 = $6.49

.the difference of thirteen and six, multiplied by a number

Answers

This is the expression your question creates 13-6•x

Answer:

This can be written as (13-6)n. Hope this helps!

Step-by-step explanation:

TICKETS Three kinds of tickets are available for a concert: orchestra seating, mezzanine seating, and balcony seating. The orchestra tickets cost $2 more than the mezzanine tickets, while the mezzanine tickets cost $1 more than the balcony tickets. Twice the cost of an orchestra ticket is $1 less than 3 times the cost of a balcony ticket. Determine the price of each kind of ticket.

Answers

Answer: an orchestra seating ticket cost $10

A mezzanine seating ticket cost $8

A balcony seating ticket cost $7

Step-by-step explanation:

Let x represent the price of an orchestra seating ticket.

Let y represent the price of a mezzanine seating ticket.

Let z represent the price of a balcony seating ticket.

The orchestra tickets cost $2 more than the mezzanine tickets. It means that

x = y + 2- - - - - - - 1

The mezzanine tickets cost $1 more than the balcony tickets. It means that

y = z + 1 - - - - - - -2

Twice the cost of an orchestra ticket is $1 less than 3 times the cost of a balcony ticket. It means that

2x = 3z - 1- - - - - - - - -3

Substituting equation 2 into equation 1, it becomes

x = z + 1 + 2

x = z + 3 - - - - - - - - - -4

Substituting equation 4 into equation 3, it becomes

2(z + 3) = 3z - 1

2z + 6 = 3z - 1

3z - 2z = 6 + 1

z = 7

x = z + 3 = 7 + 3

x = 10

y = z + 1 = 7 + 1

y = 8

A cube has width of 9 cm. What is the volume of the cube?

Answers

Answer:

V = 729 cm³

Step-by-step explanation:

side length a = 9 cm

face diagonal f = 12.727922061358 cm

solid diagonal d = 15.58845726812 cm

surface area S = 486 cm²

volume V = 729 cm³

Formula: V=a³

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

There were 12 babies and 4 adults

what is the surface area of a cone in terms of pi with a diameter of 14cm and a slant height of 20cm

Answers

Answer:

476 Pi cm^2

Step-by-step explanation:

The surface area of a cone is given by the formula:

● Sa = Pi× r^2 + Pi×r×l

r is the radius and l is the slant heigth.

■■■■■■■■■■■■■■■■■■■■■■■■■■

We are given that:

● r = 14 cm

● l = 20 cm

Let's calculate Sa

● Sa = Pi×14^2 + Pi × 14 × 20

● Sa = 476 Pi cm^2

What is equivalent to log2(7)
A.7^2
B.2^7
C.7log(2)
D.log(7)/log(2)
E. Log(2)/log(7)

Answers

Answer:

D

Step-by-step explanation:

Using the changing base formula, log base 2 raised to 7 can be written as log7/log2

The correct answer is D. log(7) / log(2).

To find the equivalent of log2(7), you can use the change of base formula for logarithms.

The change of base formula states that log base a of b is equal to log base c of b divided by log base c of a.

In this case, we want to find the equivalent of log2(7), so we can use the change of base formula with base 10 as follows:

log2(7) = log(7) / log(2)

Therefore, the correct answer is D. log(7) / log(2).

Learn more about logarithms click;

https://brainly.com/question/30226560

#SPJ6

You start driving north for 48 miles turn right and drive east for another 14miles at the end of driving what is your striaght line distance from your starting point

Answers

Answer: 48 miles

Because north is straight from the starting point and you traveled 48 miles north so 48

Answer:

50 miles

Step-by-step explanation:

If you draw the shape

you'll roughly get the above mentioned one..

so it's a right angle triangle now

using Pythagoras relationship

48^2+14^2=x^2

2304+196=x^2

2500=x^2

x= 50

straight line distance aka displacement is 50 miles

The vector v with initial point (0,0) is shown below. Write v in the form v=a i + b j, where a and b are integers.

Answers

Answer:

[tex]v=-3i+5j[/tex]

Step-by-step explanation:

In the representation of a vector we must take into account the coordinate in which its tip is located.

In this case the vector tip is at [tex](-3,5)[/tex] and starts at the coordinate origin.

When expressing a vector in the following form:

[tex]v = ai + bj[/tex]

the numbers [tex]a[/tex] and [tex]b[/tex] represent the components of the vector, that is, the vector measurements when projecting it onto the axes.

The number that accompanies i ([tex]a[/tex]) is the component of the vector on the x-axis, in this case it is 3 units:

[tex]a = -3[/tex]

And the number that accompanies j ([tex]b[/tex]) is the component of the vector in the y-axis, in this case 5:

[tex]b = 5[/tex]

thus, the result is is:

[tex]v=-3i+5j[/tex]

The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you need?

Answers

Answer:

Total paper required = 165 cm²

Step-by-step explanation:

Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid

Surface area of the rectangular prism = 2(lb + bh + hl)

(here l, b, h are the length, width and height respectively)

                                                               = 2(5×5 + 5×4 + 4×5)

                                                               = 2(25 + 20 + 20)

                                                               = 2×65

                                                               = 130 cm²

Area of the top of the prism = (side)²

                                              = 5²

                                              = 25 cm²

Lateral area of the square pyramid = 4 × Area of one lateral side

                                                          = 4 × [tex][\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                                          = 4 × [tex][\frac{1}{2}(5)(6)][/tex]

                                                          = 60 cm²

Total paper required = (130 - 25) + 60

                                   = 105 + 60

                                   = 165 cm²

g(r)=-(r+11)(r+14)

what are the zeros & what is the vertex

Answers

Answer:

The roots (r) or the Zeros ( other name ) = -11 and -14

Step-by-step explanation:

Post in comments if u need step by step and Ill give to u :)

Tell whether each outcome is impossible, unlikely, as
likely as not, likely, or certain. Then write the probability
in simplest form.
1.choosing a red crayon from a box of 24 different colored
crayons, including 8 red crayons

Answers

Answer: likely, pls mark me as brainliest if it helped u

Step-by-step explanation:

Given the equation,D=m/v if D=6/7 and =m+3 then m=.

Answers

Answer:

[tex]m=18[/tex]

Step-by-step explanation:

The equation given is [tex]D=\frac{m}{v}[/tex]

and also we have that [tex]D=\frac{6}{7}[/tex], thus:

[tex]\frac{6}{7}=\frac{m}{v}[/tex]

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

I think the question is missing which variable is defined as [tex]=m+3[/tex], so I will solve for [tex]v=m+3[/tex] since is the only other variable in the equation.

substituting [tex]v=m+3[/tex]  into [tex]\frac{6}{7}=\frac{m}{v}[/tex]:

[tex]\frac{6}{7}=\frac{m}{m+3}[/tex]

and we solve for m:

[tex](m+3)(6)=7m\\6m+18=7m\\18=7m-6m\\18=m[/tex]

m is equal to 18.

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