A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0). What is the domain of the function shown in the mapping? {x | x = –5, –3, 1, 2, 6} {y | y = –9, –6, 0, 2, 4} {x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6} {y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:false

Step-by-step explanation:

Answer:

$519.79

Step-by-step explanation:

The formula is:

[tex]PV = P (\frac{1 - ( 1 + r ) ^{-n}}{r})[/tex]

[tex](100+x)\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }(1+\frac{0.04}{4})^{40}[/tex]  [tex]+100\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }=50000[/tex]

[tex](100+x)(\frac{(1+0.01)^{40} -1}{0.01}) (1+0.01)^{40}[/tex] [tex]+(100)(\frac{(1+0.01)^{40} -1}{0.01} )=50000[/tex]

(100+x) [(1.488864 - 1) / 0.01] (1.488864) + (100) [(1.488864 - 1) / 0.01] = 50000

(100+x) [(0.488864 / 0.01)] (1.488864) + (100) (0.488864 / 0.01) = 50000

(100+x) (48.8864) (1.488864) + (100) (48.8864) = 50000

(100+x) (48.886373) (1.488864) + 4888.64 = 50000

(100+x) (72.785161) + 4888.64 = 50000

7278.5161 + 72.785161 x + 4888.64 = 50000

12167.1561  + 72.785161 x  = 50000

72.785161 x  = 50000 - 12167.1561  

72.785161 x  = 37832.8439

x = 37832.8439 / 72.785161

x = 519.787871

x = $519.79

Answer:

c mark me as brainliest

Step-by-step explanation:

Answer:

f = -3/4

Step-by-step explanation:

13f + 6 -f = -3

Combine like terms

12f +6 = -3

Subtract 6 from each side

12f+6-6 = -3-6

12f = -9

Divide each side by 12

12f/12 = -9/12

f = -3/4

Answer:

f= -3/4 or -0.75

Step-by-step explanation:

We are given the equation:

13f + 6 -f = -3

First, let's combine like terms. Subtract f from 13f.

(13f-f) + 6 = -3

12f + 6= -3

We want to find f. Therefore, we must isolate the variable on one side of the equation.

6 is being added to 12f. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

12f + 6 -6 = -3-6

12f= -3-6

12f= -9

f is being multiplied by 12. The inverse of multiplication is division. Divide both sides by 12.

12f/12= -9/12

f= -9/12

This fraction can be reduced. Both the numerator and denominator can be divided by 3.

f = (-9/3) / (12/3)

f= -3/4

f=-0.75

The solution to the equation is f= -3/4 or -0.75

Answer:

5th degree polynomial

Step-by-step explanation:

The degree of a polynomial is the highest sum of the exponents in one term.

So we have the polynomial:

[tex]6xy^4-3x^3-4[/tex]

Calculate the degree of each term:

1st Term:

[tex]6xy^4[/tex]

This is the same as:

[tex]6x^1y^4[/tex]

So, our degree is 1+4=5.

2nd Term:

[tex]-3x^3[/tex]

There is only one variable. So, the degree is 3.

3rd Term:

[tex]-4[/tex]

This is the same as:

[tex]-4x^0[/tex]

So, this is a zeroth degree.

The largest degree is 5.

So, this is a fifth degree polynomial.

Notes:

To be more specific, this is a fifth degree trinomial.

Answer:

third degree

Step-by-step explanation:

it is a third degree polynomial because the equation is considered cubic. cubic means to the 3rd power. its cubic because there's three parts to the equation

Answer:

a.    [tex]T = 17s[/tex]

b.    [tex]D = 72cm[/tex]

Step-by-step explanation:

Given

Direct Variation

[tex]Distance(D)\ \alpha\ Time (T)[/tex]

D = 264 cm when T = 11 s

Calculating (a)

First, the constant of variation (k) as to be calculated;

Since, there exist a direct proportion; then,

[tex]D\ \alpha\ T[/tex]

[tex]D = kT[/tex]

Make k the subject of formula

[tex]k = \frac{D}{T}[/tex]

D = 264 cm when T = 11 s; So

[tex]k = \frac{264}{11}[/tex]

[tex]k = 24[/tex]

So: Solving for (a)

[tex]D = 408[/tex]

Substitute 408 for D and 24 for k in [tex]D = kT[/tex]

[tex]408 = 24 * T[/tex]

Divide both sides by 24

[tex]\frac{408}{24} = T[/tex]

[tex]T = \frac{408}{24}[/tex]

[tex]T = 17s[/tex]

Hence, time to move a distance of 408cm is 17s

Calculating (b)

[tex]T = 3[/tex]

Substitute 3 for T and 24 for k in [tex]D = kT[/tex]

[tex]D = 24 * 3[/tex]

[tex]D = 72cm[/tex]

Hence, distance covered in 3 seconds is 72cm

Answer:

A.  2a² / 5b

Step-by-step explanation:

12a³b² / 30ab³

cancel the common factor = 6

= 2a³b² / 5ab³

cancel the common factor = a

= 2a²b² / 5b³

apply exponent rule, so

= 2a² / 5b³ ⁻ ²

subtract 3 - 2 = 1

= 2a² / 5b

Answer:

h(4)= -2

Step-by-step explanation:

plug in 4 into the x:

h(4)=-4+2=-2

Answer: 6 to the second power equals 36.

Step-by-step explanation: Any number to the power of two multiples by itself.

So 6 x 6 = 36

Answer:

36

Step-by-step explanation:

6^2= 36

Answer:

10.336.

Step-by-step explanation:

There are 12 inches in 1 foot so 51.68 ft/hr

= 51.68 * 12 in/hr.

Now there are 60 minutes in an hour so the speed in inches/minute

= 51.68 * 12 / 60

= 10.336.

Answer:

DF=41

Step-by-step explanation:

It is given that F is the midpoint of DE. We know that, midpoint bisects the line segment. So,

DF=FE

3x+5=5x-19

Subtracting both sides by 3x

3x+5-3x=5x-19-3x

5=2x-19

Subtract both sides by 5

5-5=2x-19-5

0=2x-24

2x=24

x=12

So, the value of x is 12.

Put x = 12 in DF=3x+5

DF=3(12)+5

DF= 36+5

DF = 41

So, the value of DF is 41.

Answer:

(-x/5) - 1

Step-by-step explanation:

Step 1: Translate word into math

one less = - 1

quotient of a number and -5 = x/-5

Step 2: Combine

(x/-5) - 1

Step 3: Simplify

(-x/5) - 1

Answer:

Step-by-step explanation:

Answer:

|x - 2| = 8

Step-by-step explanation:

The midpoint between -6 and 10 is;

(-6 + 10)/2 = 4/2 = 2

This means that the distance between 2 and either -6 or 10 will be 8.

Now, the absolute value equation will have to say that the distance between x and 2 is 8.

Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.

This gives us the absolute value equation:

|x - 2| = 8

Answer:

[tex] 4\sqrt{10} [/tex]

Step-by-step explanation:

Perimeter of the rhombus, STAR, is the sum of the length of all it's 4 sides.

The coordinates of its vertices are given as,

S(-1, 2)

T(2, 3)

A(3, 0)

R(0, -1)

Length of each side can be calculated using the distance formula given as [tex] d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Find the length of each side ST, TA, AR, RS, using the above formula by plugging in the coordinate values (x, y) of each vertices.

[tex] ST = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

S(-1, 2) => (x1, y1)

T(2, 3) => (x2, y2)

[tex] ST = \sqrt{(2 -(-1))^2 + (3 - 2)^2} [/tex]

[tex] ST = \sqrt{(3)^2 + (1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]

[tex] TA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

T(2, 3) => (x1, y1)

A(3, 0) => (x2, y2)

[tex] TA = \sqrt{(3 - 2)^2 + (0 - 3)^2} [/tex]

[tex] TA = \sqrt{(1)^2 + (-3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]

[tex] AR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

A(3, 0) => (x1, y1)

R(0, -1) => (x2, y2)

[tex] AR = \sqrt{(0 - 3)^2 + (-1 - 0)^2} [/tex]

[tex] AR = \sqrt{(-3)^2 + (-1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]

[tex] RS = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

R(0, -1) => (x1, y1)

S(-1, 2) => (x2, y2)

[tex] RS = \sqrt{(-1 - 0)^2 + (2 -(-1))^2} [/tex]

[tex] RS = \sqrt{(-1)^2 + (3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]

[tex] Perimeter = ST + TA + AR + RS [/tex]

[tex] Perimeter = \sqrt{10} + \sqrt{10} + \sqrt{10} + \sqrt{10} = 4\sqrt{10} [/tex]

Answer:

no

Step-by-step explanation:

the sum of interior angles of a triangle should be 180

so the three possible angles would be 90 degree 60 degree and 30 degree

Answer:

[tex]\huge\boxed{\sf NO.}[/tex]

Step-by-step explanation:

The interior angles of a triangle must be adding to 180 degrees for it to "be" a triangle.

Let's check if 90°,60° and 60° are adding to 180°.

=> 90+60+60

=> 210°  > 180°

Since they are not adding to 180°, a triangle with the given angles cannot be formed.

Answer:

6/100

Step-by-step explanation:

Since x% means x/100, that means 6% = 6/100.

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Answer:

2/5 is already a fraction.... it's an improper fraction.

Answer:

-12

Step-by-step explanation:

2x+29+8=×+25

Solve for x

Answer:

101 up on the left

100 up on right

6 across the bottom

Step-by-step explanation:

their is always six along the bottom

up on the right is whateve number the figure is it increase one everytime

101 up on the left because figure one stats with 2 and from their one is added

The solution is

a) The figure will have 100 rows of 6 tiles and 1 row having 1 tile

b) The number of tiles in figure 100 will be 601 tiles

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the figure 100 be represented as = a₁₀₀

Let the number of tiles in the first figure be a₁

The value of a₁ = 7 tiles

Let the number of tiles in the second figure be a₂

The value of a₂ = 13 tiles

So , the common difference of the arithmetic sequence is d

d = second term - first term

d = 13 - 7

d = 6

Now , the value of figure a₁₀₀ is calculated by the formula

Tn = a + (n - 1) d

Substituting the values in the equation , we get

a₁₀₀ = 7 + ( 100 - 1 ) 6

a₁₀₀ = 7 + ( 99 x 6 )

a₁₀₀ = 7 + 594

The value of a₁₀₀ = 601

Therefore , the figure will have 100 rows of 6 tiles and 1 row having 1 tile

And , the total number of tiles in the figure is 601 tiles

Hence , The figure will have 100 rows of 6 tiles and 1 row having 1 tile and

the number of tiles in figure 100 will be 601 tiles

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

#SPJ2

Answer:

33.2

Step-by-step explanation:

Multiply 332 by 0.1

or 332/10=33.2

Answer:

13 minutes

Step-by-step explanation:

Person 1: 1 min

Person 2: 2 min

Person 3: 7 min

Person 4: 10 min

Person 1, 3, and 4 cross first, which will take 10 minutes.

Then, Person 1 comes back, taking 1 minute.

Person 1 and Person 2 cross the river, taking 2 minutes.

10 + 1 + 2 = 13 minutes.

Answer:C

Step-by-step explanation:

Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C

Answer:

25 1/3 C

Step-by-step explanation:

Answer:

180° = x + (2x -15)

180°=3x-15

3x = 195

x =65°

x + y = 180°

65+ y= 180°

y = 115°

Answer:

x = 65, y = 115

Step-by-step explanation:

x and 2x - 15 are adjacent angles and supplementary, thus

2x - 15 + x = 180

3x - 15 = 180 ( add 15 to both sides )

3x = 195 ( divide both sides by 3 )

x = 65

y and 2x - 15 are congruent ( alternate angles ), thus

y = 2x - 15 = 2(65) - 15 = 130 - 15 = 115

Answer:

I think if you take the x out it would be equivalent

Step-by-step explanation:

3•3•3

Answer:

1. was (but I think it should be is)

Step-by-step explanation:

the smell of flowers was/is sweet

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

The sentence is referring to the smell, and smell is singular, so we should is or was

Hope this helps!! :)

Answer:

1. quarant 2

2. quadrant 1

3. quadrant 2

4. quadrant 4

5. quadrant 4

6. quadrant 2

7.quadrant 2

8. quadrant 3

Step-by-step explanation:

Is this the full question?

Answer:

Solutions:

[tex]x=-7[/tex]

[tex]x=4[/tex]

Step-by-step explanation:

[tex](x-2)(x + 5) = 18[/tex]

Expanding the factored form:

[tex]x^2+5x-2x-10=18[/tex]

[tex]x^2+3x-28=0[/tex]

Factoring the second-degree polynomial:

[tex](x+7)(x-4)=0[/tex]

This is true for

[tex]x=-7 \text{ or } x=4[/tex]

Answer:

B

Step-by-step explanation: