State the domain and the range.

1. f(x) = x² -1

2. f(x) = 1/ (3x+5)

3. f(x) = x4

4. f(x) = 1/2x

5. f(x) = (9x-7)/3​

The value of m is 9 .

What is a Quadrilateral:

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

What is Circumscribed:

Circumscribed meaning is, a shape is restricted within any other shape. There is no circumvent for the inside figure to pass the outer figure. When we draw a figure around another figure, in such a way, that the outer figure which is surrounding the inside figure touches all its vertices, but doesn’t cross it. The outer figure touches the maximum points of the inside figure without crossing it. These geometrical shapes could be a circle, a square, a triangle, a rectangle or a quadrilateral.

Now,

we know length of tangent from a point to a circle are equal

therefore,

AS=AP,,BP=BQ,CQ=CR,DR=DS

x=BC=BQ+QC=BP+RC=BP+CD−DR=BP+CD−DS

⇒x=5+7−3=9

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For given polynomial 1/2a^4 + 3a³ + a

1) There is no coefficient for the third term.

2) The constant term is 0.

In this question, we have been given a polynomial 1/2a^4 + 3a³ + a

We need to determine the coefficient of the third term and the constant term.

we can rewrite given polynomial as 1/2a^4 + 3a³ + 0a² + a + 0

The general form of the fourth degree polynomial is:

a_0 + a_1x + a_2x^2 + a_3x^3 + a_4x^4

where a_0 is the constant term

Comparing given polynomial with above general form.

a_0 = 0

a_1 = 1

a_2 = 0

a_3 = 3

a_4 = 1/2

So, the constant term is a_ 0 = 0

And there is no coefficient for the third term.

Therefore, for given polynomial 1/2a^4 + 3a³ + a

1) There is no coefficient for the third term.

2) The constant term is 0.

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The coefficient is defined as a coefficient is a number multiplied by a variable.

We need to define the term coefficient.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it. It is assumed that the variables with no associated number have a coefficient of 1.

For example, in the expression 6x², 6 is the coefficient of x² but in the expression 2y² + 7, 2 is the coefficient of y².

In terms of a polynomial, a series, or any other expression, a coefficient is, in other words, a multiplicative factor.

Therefore, the coefficient is defined as a coefficient is a number multiplied by a variable.

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As the sample size increases, the standard error of the mean decreases.

How does the standard error change as the sample size grows?

Standard error diminishes as sample size grows because sample means tend to cluster more closely around the genuine population mean as sample size approaches the true population size.

What grows as the sample size grows?

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Answer:

[tex]4a+3=7-5+8a\\4a-8a=7-5-3\\-4a=-1\\\frac{-4a}{-4} =\frac{-1}{-4} \\a=\frac{1}{4}[/tex]

Answer:

x=33

Step-by-step explanation:

Simplifying 2x + 25 + 3x + -10 = 180 Reorder the terms: 25 + -10 + 2x + 3x = 180 Combine like terms: 25 + -10 = 15 15 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 15 + 5x = 180 Solving 15 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 180 + -15 5x = 180 + -15 Combine like terms: 180 + -15 = 165 5x = 165 Divide each side by '5'. x = 33 Simplifying x = 33

Answer:

x=33

Step-by-step explanation:

(2x+25)+(3x-10)=180

2x+25+3x-10=180

2x+3x+25-10=180

5x+15=180

5x=180-15

5x=165

5x/5=165/5

therefore x=33

Answer:

C. $117.88

Step-by-step explanation:

$10.25 per hour

11.5 hours worked

$10.25 * 11.5 = $117.875

round $117.875 to $117.88

C. $117.88

Answer: me man

Step-by-step explanation:

holy god

Answer:

4

Step-by-step explanation:

Since 4 is the nearest whole number in 4.197, we need to look at the number next to it.

1 is less than 5, so 4 stays the same.

y-7=-4(x-3)

find the slope first

-1-7/ 5-3= -8/2

m= -4

put the slope into the point slope formula,

y-y1=m(x-x1)

to get

y-7=-4(x-3)

Answer: m= -4 y=-4x + 19

Answer:

1/4+s=18/20

Step-by-step explanation:

The answer is between 0 and 1

18/20 = 0.9

1/4+s=0.9

0.9-0.25=0.65

s=0.65

Answer:

[tex] \sf \large \: x= \frac{−5}{2} \: and \: y = \frac{3}{2} [/tex]

Step-by-step explanation:

Let's solve your system by substitution.

y−x=4;6y+2x=4

Rewrite equations:

−x+y=4;2x+6y=4

Step: Solve−x+y=4for y:

−x+y=4

−x+y+x=4+x(Add x to both sides)

y=x+4

Step: Substitute x+4 for y in 2x+6y=4:

2x+6y=4

2x+6(x+4)=4

8x+24=4(Simplify both sides of the equation)

8x+24+−24=4+−24(Add -24 to both sides)

8x=−20

8x/8 = −20/8

(Divide both sides by 8)

x= −5/2

Step: Substitute −5/2 for x in y=x+4:

y=x+4

y=−5/2+4

y=3/2

(Simplify both sides of the equation)

Answer:

Khan academy could really help it has videos and lessons so start there.

Step-by-step explanation:

Since the given expression can be factored in the form (2t+1) and (t+2) so 2t² + 5t + 2 cannot be a prime number.

A whole number greater than 1 that has no factor other than 1 and the number itself is called a prime number.

Some examples of prime numbers are 3,11,19 ... all these numbers can only be divided by 1 or the number itself so they are called prime.

In the given expression 2t² + 5t + 2 , it is said that t is positive whole number. So if t is a positive whole number then the expression can be written as another positive whole number.

Now the expression 2t² + 5t + 2  can be factored into two smaller factors.

2t² + 5t + 2

= 2t² + 4t + t + 2

= 2t (t + 2 )+1 (t+2)

= (t+2) (2t+1)

If t is a positive whole number then t+2 is a whole number and 2t+1 is another positive whole number.

Hence these two numbers are factors of 2t² + 5t + 2 . But a prime number does not have any factors.

So 2t² + 5t + 2  is not a prime number.

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We have proved that the triangle formed is scalene triangle.

It is given that latitude and longitude of three cities is given.

We have to prove that the triangle formed by the three cities is a scalene triangle.

What is a triangle ?

A triangle is a 3-sided shape. There are three sides and three angles in every triangle, some of which may be the same.

As per the question ;

The Δ formed is a scalene triangle.

Raleigh has latitude and longitude (35.82°N , 78.64°W)

Durham has latitude and longitude (35.99°N , 78.91°W)

Chapel has latitude and longitude (35.92°N , 79.04°W)

Let's represent Raleigh as R , Durham as D and Chapel as C.

Let's check it.

Using the distance formula ;

RD = [tex]\sqrt{(35.99-35.82)^2 + (78.91 - 78.64)^2}[/tex]

RD = [tex]\sqrt{( 0.17^2+ 0.27^2)}[/tex]

RD = [tex]\sqrt{0.102}[/tex]

RD = 0.32

Similarly ;

DC = [tex]\sqrt{0.07^2 + 0.13^2}[/tex]

DC = [tex]\sqrt{0.0218}[/tex]

DC = 0.15

And

RC = [tex]\sqrt{0.10^2 + 0.40^2}[/tex]

RC = 0.41

The sides are all of different lengths, so , we can conclude that this is a scalene triangle.

Thus , the triangle formed by given latitude and longitude of three cities is scalene.

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Answer: [tex]\angle APC[/tex] and [tex]\angle CPB[/tex]

Step-by-step explanation:

See attached image.

Answer:

time = 6.25 years

Step-by-step explanation:

To calculate the simple interest earned, we can use the following formula:

[tex]\boxed{I = \frac{Prt}{100}}[/tex],

where:

I = simple interest ($500)

P = principal amount ($2000)

r = interest rate (5%)

t = time (? years)

To calculate the amount of time the money must be left, we have to substitute the given values into the equation, and solve for t:

[tex]500 = \frac{2000 \times 4 \times t}{100}[/tex]

⇒ [tex]500 \times 100 = 8000t[/tex]      [Multiplying both sides by 100]

⇒ [tex]50000 = 8000t[/tex]

⇒ [tex]t = \frac{50000}{8000}[/tex]

⇒ [tex]t = \bf 6.25 \ \mathrm{\bf {years}}[/tex]

Therefore, the money must be left in the account for 6.25 years to earn $500 interest.

Answer:

∠ B = 166°

Step-by-step explanation:

since ∠ A and ∠ B are vertical angles then they are congruent, that is

∠ A = ∠ B

6x - 26 = 5x + 6 ( subtract 5x from both sides )

x - 26 = 6 ( add 26 to both sides )

x = 32

Then

∠ B = 5x + 6 = 5(32) + 6 = 160 + 6 = 166°

AnAt what rate is the amount of flour decreasing? 270- 180 90- grams per minute 2. As time increases, the amount of flour in the machine increases. Time (minutes)

Based on the price to buy a baker's dozen, the money that the baker will save from buying a Baker's dozen instead of 13 individual rolls is $0.60.

The price per roll is:

= 3.60 / 6

= $0.60

The price of 13 individual rolls is:

= 0.60 x 13

= $7.80

The amount saved is:

= Price of 13 rolls - Price of baker's dozen

= 7.80  - 7.20

= $0.60

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The required scale factor for the small rectangle is 8.

Given that,
Rectangle a is a 2 by 4 would a be 4 by 8,
To determine the scale factor,

The scale factor is defined as the ratio of modified change in dimensions to original dimensions

Area of the rectangle = product of dimensions = length * width
Area of the former rectangle = 2 * 4

                                                = 8
Area of the later rectangle = 4 * 8 = 32
                                           
Scale factor = area of the later rectangle/area of the former rectangle
                    = 32 / 8
                    = 8

Thus, the required scale factor for the small rectangle is 8.

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Answer:

Step-by-step explanation:

can 4 x 2/3 be 2/1 ?

2/1 = 2

solve with an equation

4 * 2/3 = 2

8/3 = 2

or

2.66666666667 = 2

the equation is false, so your answer is no

Answer: The answer is 15

Answer:

15 is the solution.

Step-by-step explanation:

Finding the value of expression,

→ 12 + |7 - 10|

→ 12 + |-3|

→ 12 + 3 = 15

Hence, the value is 15.

Answer: 1. D.0.5, 2.5

2. B 10,-1

3. B.-6,-6

4. C 7,5

5. D. Infinite number of solutions

6. A. -1,3

7. C. -1,-0.5

8. B. Seven $1....eight $5...

9. D. 200 muffins

10. A. 2y=1.5x-2 D.-4y+3x=-2

Step-by-step explanation:

i did the quiz, Gl, and thx!

The distance between the points is 8.6 units

The points are given as:

(8, 2) and (3,9).

The distance is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(8 -3)^2 + (2 - 9)^2

Evaluate

d = 8.6

Hence, the distance between the points is 8.6 units

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Answer:

0.456

Step-by-step explanation:

456÷1000

=0.456ml

Answer:

Step-by-step explanation:

6(x+4)=30

So wee need to find out what multiplied by 6 =30

30/6=5

Now wee need to figure out what plus 4 equals 5

5-4=1

1+4=5

6(1+4)=30

So x=1

Hope this helps!^^

Since each input is mapped to only one output, the best description of the ordered pairs is given by:

A. both a relation and a function.

A relation represents a function if each value of the input is mapped to only one value of the output.

For a point in the format (x,y), we have that:

For this problem, the points are given as follows:

(-3, 2), (3, -10), (5, -14), (10, -24)

Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:

A. both a relation and a function.

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The equation relating T to N  is T = 560N + 750

A function is defined as an expression or rule that explains or compares the relationship between two variables - the dependent and the independent variable.

From the information given, we have that;

This is represented as;

T = A + B

Substitute the values

T = 165N + 750 + 395N

Collect like terms

T = 165N + 395N + 750

Add like terms

T = 560N + 750

Thus, the equation relating T to N  is T = 560N + 750

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