Determine the domain and range of the following function. Record your answers in set notation. The domain is {x∈R| x≠−5}, and the range is {y∈R| y≠−2}. The domain is {x∈R| x≠−2}, and the range is {y∈R| y≠−5}. The domain is all real numbers, and the range is all real numbers as well. The domain is {x∈R| x≠−3}, and the range is {y∈R| y≠−5}.

We can use the FOIL method to solve.

(5x + 3)(7x - 7)

(5x * 7x) + (5x * -7) + (3 * 7x) + (3 * -7)

35x - 35x + 21x - 21

0 + 0

0

Best of Luck!

Answer:

0.898

Step-by-step explanation:

The formula for the Coefficient of determination = ratio of explained variation to Total variation

From the above question, we have the following values

Explained variation = 18.592

Total variation = 20.711

The coefficient of determination = 18.592 : 20.711

= 18.592/20.711

= 0.8976872194

Approximately ≈ 0.898

Therefore, the coefficient of determination is 0.898

Answer:

 100,000 + 10,000+ 2,000+ 700+ 80+ 3    

Answer:

(9,3)

Step-by-step explanation:

(8+10)/2. (5+1)/2

18/2. 6/2

9,3

Answer: (a) 5   (b)1      (c)5    (d)120

Step-by-step explanation:

Formula for combinations: [tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

Formula for permutations: [tex]C(n,r)=\dfrac{n!}{(n-r)!}[/tex]

(a) C(5, 4)  = [tex]\dfrac{5!}{4!(5-4)!}=\dfrac{5\times4!}{4! (1)}=5[/tex]

(b) C(5, 0) = [tex]\dfrac{5!}{0!(5-0)!}=\dfrac{5!}{5! }=1[/tex]

(c) P(5, 1)  = [tex]\dfrac{5!}{(5-1)!}=\dfrac{5\times4!}{4! }=5[/tex]

(d) P(5, 5)  = [tex]\dfrac{5!}{(5-5)!}=\dfrac{5!}{1}=5!= 5\times4\times3\times2\times1=120[/tex]   [as 0!=1]

Hence, the required answer is

(a) 5   (b)1      (c)5    (d)120

Answer:

2L - the third picture

2W - the fifth picture

4 - the first picture

L+2 - the 6th picture

W - the 7th picture

Step-by-step explanation:

2L - the third picture

2W - the fifth picture

4 - the first picture

L+2 - the 6th picture

W - the 7th picture

Answer:

29,937,952 mark me as brainliest

Step-by-step explanation:

Answer:

That would be false

Step-by-step explanation:

if you look at where the decimal is, 40.7 would be bigger

Answer:

The rate of change for A is 4. For B, it is 2

Step-by-step explanation:

the slope of A is 4 and for B it is 2. Slope is the same as rate of change.

Answer:

x^2 -9

Step-by-step explanation:

(x + 3)(x − 3)

FOIL

first x*x =x^2

outer -3x

inner 3x

last -3*-3 =-9

Add together

x^2 -3x+3x -9

Combine like terms

x^2 -9

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-7,-2) and (11,3)

The distance between the points is

We have the final answer as

Hope this helps you

Answer:

$450

Step-by-step explanation:

First, write out an equation.  We know that Hannah and Zach together earnes $950 and they get payed in equal hourly rates, so for now, in this step of solving the problem, we will be adding the number of hours each person worked together.

Hannah worked 10 hrs and Zach worked 9 hrs, so add 10+9 to get 19 hrs worked in all between the two of them.

Let "x" represent the amount of money made each hour, and form your equation.

Your equation would be: [tex]19x=950[/tex]

Then, just solve for "x".  Divide both sides by 19.

[tex]\frac{19x}{19}=\frac{950}{19}\\x=50[/tex]

The "x=50" means that Hannah and Zach each earn $50 per hour.

Now, the question asks us to find the amount of money that Zach made.  So, multiply 50 by only the number of hours Zach worked, which is 9.

[tex]50*9=450[/tex]

That means that Zach made a total of $450.

Answer:

1200

Step-by-step explanation:

First we need to figure out how many bricks can be set in an hour, so you do 2.5*60, since there are 60 min. in an hour. That's 150.

Now we do 8 hours. You do 150*8, which is 1200.

Hope this helps.

Answer:

1200

Step-by-step explanation:

The reason behind this answer is because you first multiply 2.5 by 60 for the 60 minutes in an hour and ultimately get 150 then you multiply that answer by 8 to get 1200.

Solve the "f" function with substitute 4 and solve the "g" function with what we get for the "f" function.

f(4) = 2(8) + 3

f(4) = 16 + 3

f(4) = 19

g(19) = 4(19) - 1

g(19) = 76 - 1

g(19) = 75

Best of Luck!

Answer:

[tex]n = 241[/tex]

Step-by-step explanation:

Given

[tex]5x^2 + nx + 48[/tex]

Required

Determine the highest value of n

From the given equation, 5 is a prime number;

So, the factors of x² is 5x and x or -5x and -x

Since [tex]5x^2 + nx + 48[/tex] has all shades of positive terms, we'll make use of 5x and x

The factorized expression can then be:

[tex](5x + a)(x + b)[/tex]

Open the brackets

[tex]5x^2 + ax + 5bx + ab[/tex]

Equate this to the given expression

[tex]5x^2 + ax + 5bx + ab = 5x^2 + nx + 48[/tex]

[tex]5x^2 + (a + 5b)x + ab = 5x^2 + nx + 48[/tex]

By direct comparison;

[tex]5x^2 = 5x^2[/tex]

[tex](a + 5b)x = nx[/tex]

[tex]a + 5b = n[/tex]  ---- (1)

[tex]ab = 48[/tex] --- (2)

From (2) above, the possible values of a and b are:

[tex]a = 1, b = 48[/tex]

[tex]a = 2, b = 24[/tex]

[tex]a = 3, b = 16[/tex]

[tex]a = 4, c = 12[/tex]

[tex]a = 6, b = 8[/tex]

[tex]a = 8, b = 6[/tex]

[tex]a = 12, b = 4[/tex]

[tex]a = 16, b = 3[/tex]

[tex]a = 24, b = 2[/tex]

[tex]a = 48, b = 1[/tex]

Of all these values; the value of a and b that gives the highest value of n is;

[tex]a = 1, b = 48[/tex]

So;

Substitute 1 for a and 48 for b in (2) [tex]a + 5b = n[/tex]

[tex]1 + 5 * 48 = n[/tex]

[tex]1 + 240 = n[/tex]

[tex]241 = n[/tex]

[tex]n = 241[/tex]

Hence, the largest value of n is 241

Answer:

Step-by-step explanation:

The two factors of $5x^2+nx+48$ must be in the form $(5x+A)(x+B)$. $A$ and $B$ must be positive integers to form the largest value of $n$. Therefore, $AB=48$ and $5B+A=n$. To form the largest value of $n$, $B$ must equal $48$. Therefore, $A=1$. \[5B+A=5(48)+1=\boxed{241}\]

Answer:

A. 8.3

B.18.7

C. 10.4

D. 1.04

Step-by-step explanation:

p(x) = 0.03x² + 0.56x + 6.35

A. Determination of p(3)

p(x) = 0.03x² + 0.56x + 6.35

x = 3

p(3) = 0.03(3)² + 0.56(3) + 6.35

p(3) = 0.03(9) + 1.68 + 6.35

p(3) = 0.27 + 1.68 + 6.35

p(3) = 8.3

B. Determination of p(13)

p(x) = 0.03x² + 0.56x + 6.35

x = 13

p(13) = 0.03(13)² + 0.56(13) + 6.35

p(13) = 0.03(169) + 7.28 + 6.35

p(13) = 5.07 + 7.28 + 6.35

p(13) = 18.7

C. Determination of p(13) – p(3)

From A and B above,

p(13) = 18.7

p(3) = 8.3

p(13) – p(3) = 18.7 – 8.3

p(13) – p(3) = 10.4

D. Determination of p(13) – p(3) / 13 – 3

From C above,

p(13) – p(3) = 10.4

p(13) – p(3) / 13 – 3 = 10.4/ 13 – 3

= 10.4 / 10

= 1.04

Answer:

3 a : YES

3 b : NO

4:

F

D

E

5:

IH

GH

IG

Step-by-step explanation:

3 a) Yes The sum of any two sides is larger than the third side

3 b). NO The sum of 3 ft + 4 ft gives 7ft  which is not larger than 10 ft

4 Recall that larger angles opposite larger sides, and smaller angles oppose smaller sides in the triangle. Therefore, the smallest angle must be that opposite the 1 1/4 side that is angle [tex]\angle F[/tex] then angle d must follow (opposes side of length 2) and lastly angle E (since it opposes the largest side of length 2 1/8

5:

Notice that the third angle which is not given must verify the following:

[tex]\angle I = 180^o-59^o-61^o=60^o[/tex]

Therefore following the same concept as explained in the previous problem the order of these angles from smallest to largest must be:

IH

GH

IG

Answer:

b. $7,482.

Step-by-step explanation:

20,403 nets $5,996,106 after 35 years.

7,482 nets $2,198,837 after 35 years.

$7,482 is over 2 million and the smallest amount, so you don't have to solve for the other ones.

The real amount that must deposit each year to achieve your goal is $16,017 option (c) is correct.

An investment is a payment made to acquire the securities of other firms with the intention of making a profit.

First, we will calculate the real rate of interest:

r = [(1+nominal rate)/(1+inflation rate)] - 1

Nominal rate = 9.94% = 0.094

Inflation rate = 3.2% = 0.032

r = [(1+0.094)/(1+0.032)] - 1

After calculating,

r = 0.0653 or 6.53%

Deposit amount each year:

Future value = PV[(1+r)ⁿ - 1]/(r)

2000000 = PV[(1+0.0653)³⁵ - 1]/(0.0653)

After calculating,

PV = $16020.544

The value $16020.544 is near the $16,017.

Thus, the real amount that must deposit each year to achieve your goal is $16,017 option (c) is correct.

Learn more about the invested amount here:

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A point in geometry is a location.

It has no size, width, length or depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions.

Answer:

Step-by-step explanation:

Let the number be x

The statement

The square of a number is 3 less than four times the number is written as

x² = 4x - 3

Solve the quadratic equation

We have

x² - 4x + 3 = 0

Write - 4x as a difference

That's

x² - x - 3x - 3 = 0

Factorize the expression

That's

x( x - 1) - 3( x - 1) = 0

( x - 1)( x - 3) = 0

x - 1 = 0 x - 3 = 0

x = 1 x = 3

The numbers are 1 and 3

Hope this helps you

Answer:

1 and 3

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

(w = 7, w = 8/5)

▹ Step-by-Step Explanation

(7 - w)(5w - 8) = 0

Separate:

7 - w = 0

5w - 8 = 0

Solve:

w = 7

5w - 8 = 0

(w = 7, w = 8/5)

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

w = 7, 8/5

Step-by-step explanation:

(7 - w) (5w - 8) = 0

(7 - w) × (5w - 8) = 0

7 × 5w - 7 × 8 - w × 5w + w × 8 = 0

35w - 56 - 5w² + 8w = 0

- 5w² + 43w - 56 = 0

5w² - 43w + 56 = 0

5w² - 35w - 8w + 56 = 0

5w(w - 7) - 8(w - 7) = 0

(w - 7) (5w - 8) = 0

w - 7 = 0 OR 5w - 8 = 0

w = 7 OR w = 8/5

Thus, the value of w is 7, 8/5

Answer:

James will receive a paycheck in the amount of $522.

Step-by-step explanation:

There are 2 ways you can go at finding the answer. The first way is by adding 32 hours and 33.25 hours together to get a total of 65.25 hours. Then multiply 65.25 hours by $8 to get $522. The second way is multiplying 32 hours by $8 and get $256. Then multiply 33.25 hours by $8 to get $266. Finally add $256 and $266 up and you get $522. I hope this helps you!

Answer:

I guess this is how to do it....

3×(1/3 of x + 8)=11.

use the 3 to multiply the numbers in the bracket.

3x+24=11.

3x=11-24.

3x=-13.

x= -13/3.

x= -4.33.

Answer:

  g(x) = (1/6)(x +7)^2 -8

Step-by-step explanation:

The transformation ...

  g(x) = a·f(x -h) +k

represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...

  g(x) = (1/6)(x +7)^2 -8

Answer:

y^2+8y+16

Step-by-step explanation:

6y^2 +2y +5 - ( 5y^2 -6y-11)

Distribute the minus sign

6y^2 +2y +5 -  5y^2 +6y+11

Combine like terms

y^2+8y+16

Answer:

Easy-peasy.

Step-by-step explanation:

2.45/2.10 = 1.167 (rounded to the nearest tenth of a cent).

That is, 2.45 is 116.7% of 2.10

Since $2.10 is 100% of 2.10,

2.45 is a 16.7 increase.

The solution is 7.1 %

The percentage increase in the price of the coffee is 7.1 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Let the percentage increase in the price of the coffee be represented as A

Now , the value of A is calculated by

Let the initial price of the coffee be = P

The value of P = $ 2.10

The increased price of the coffee be = Q

The value of Q = $ 2.25

Now , the equation will be

The percentage increase in the price A = ( increased price of the coffee - initial price of the coffee / initial price of the coffee )  x 100

Substituting the values in the equation , we get

The percentage increase in the price A = ( ( 2.25 - 2.10 ) / 2.10  ) x 100

The percentage increase in the price A = ( 0.15 / 2.10 ) x 100

The percentage increase in the price A = 0.0714 x 100

The percentage increase in the price A = 7.14 %

Therefore , the percentage increase is 7.1 %

Hence , the percentage increase in the price is 7.1 %

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Answer:

A rational number is a number that can be written as a fraction.

A. 7.11

=> 711/100

So, the 1st option is a rational number.

B. 4.333....

=> 4  1/3

=> 13/3

So, the 2nd option is a rational number.

C. 8/11

=> This is in its fractional form.

=> So, the 3rd option is a rational number.

D. -2852664798743

=> This can't be written in a fractional form.

=> So, the 4th option is NOT a rational number.

Answer:

$

180

Step-by-step explanation:

The original price is the quotient between $120 and 2/3, we get:

P = $180

We know that 2/3 of the original price is $120, then to get the original price, we need to take the quotient between $120 and 2/3.

[tex]P = \frac{\$120}{2/3} = (3/2)*\$ 120[/tex]

By taking that quotient we will see that the original price of the coat is:

[tex]P = (3/2)*\$120 = $180[/tex]

We conclude that the original price of the coat is $120.

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Answer:

There are 10 $1 bills and 7 $5 bills

Step-by-step explanation:

7($5 bills) x 5

=35

7+3 (3 more $1 bills)

=10

10+35

=45

Answer:

$1: 10

$5: 7

Step-by-step explanation:

To find out how many of each bill is in the cash box, create an expression

x = the dollar bills

This makes the $5 bills 5x and the $1 bills x (this can also be 1x)

When it says "The number of $1 bills is 3 more than the number of $5 bills" This means that the number of $1 is x + 3 and the number of $5 is 5x

When you put it together the expression will be x + 3 + 5x = 45

First add x and 5x, making it 6x

Next subtract 3 from each side, which makes the equation 6x = 42

Lastly, divide 6 from each side, this means that x = 7

To find out how many bills there are substitute 7 wherever there is an x

This mean that the number of $1 is 7 + 3 (10), and the number of $5 bills are 5x7 (35), but its just 7 because they are $5 each