Evaluate each function for the given value of x , and write the input x and output f(x) as an ordered pair.
f(x) = -12x/5 for x=-1

Answer:

Answer:

Step-by-step explanation:

A line segment is connected to the line or was formerly part of the line.

A line segment has an end and is a distance between two points, while a line could be undefinably long.

Line segments are finite between two points, while rays are just line segments that extend indefinitely into one direction.

A ray only has one endpoint. Line segments have two

The coordinate of point L of the given square is; (0, 15)

Some of the properties of a square are that;

All four sides of a square are equal

All internal angles are equal to 90°

All internal angles are equal to each other

Diagonals intersect at right angles

No, from the given square we see that the coordinates are;

K(0, 0) and R(15, 0)

Since side KR would have a length of 15 units, then KL would also be equal to 15 units.

Thus, coordinate of point L is; (0, 15)

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The first paycheck payment to the independent contractor is $4,615.38

Dr. salaries and wages expense $4,615.38

Cr. salaries and wages payable                     $4,615.38

What is the amount of first  bi-weekly pay to the contractors?

On the basis that there are 52 weeks in a year, hence, there would be 26 bi-weeks in a year, in order to determine the amount of first paycheck payment to the independent contractor, we simply divide the annual cost of contract by 26 bi-weeks in a year.

first paycheck payment =annual contract fees/26 bi-weeks

first paycheck payment =$120,000/26

first paycheck payment =$4,615.38

The paycheck refers to first 2 weeks which ends on on 12th January, whereas the actual payment would occur a week later on 19th of January, as a result, the amount is owed until 19th January, which means that salaries and wages expense would be debited and salaries and wages payable would be credited until actual payment is made on the 19th of January.

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Answer:

t < -6 (the other part of the question I don't understand)

Step-by-step explanation:

2t < 5 - 17

2t < - 12

t < - 12 /2

t < -6

Answer:

[tex]p=11[/tex]

Step-by-step explanation:

[tex](5p+7)+(3p-5)=90\\8p+2=90\\8p=88\\p=11[/tex]

Brainliest Answer Please

Making C the subject of the formula, we have: C = 5(F - 32)/9.

Given the formula, F = 9/5C + 32, we are asked to solve the equation for C, this means we would make C the subject of the formula.

F = 9/5C + 32

Subtract 32 from both sides

F - 32 = 9/5C + 32 - 32

F - 32 = 9/5C

Multiply both sides by 5/9

5/9(F - 32) = 9/5C(5/9)

5(F - 32)/9 = C

C = 5(F - 32)/9

Therefore, making C the subject of the formula, we have: C = 5(F - 32)/9.

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Answer: The answer is 304

Step-by-step explanation: The way to divide this is putting it this way 2432/8.

Answer:

D

Step-by-step explanation:

point P is in plane Z not plane X

Answer:

arithmetic

Step-by-step explanation:

Answer:

najua unanijuki bait ni sawa Bora

Answer:

D.) 14/9

Step-by-step explanation:

Remove parenthesis and add

8/9 + 2/3

Get LCD of 9

8/9 + 6/9 = 14/9

The sum of (6.9*10^6) and (5.9*10^5) is 7.49 * 10^6.

The arithmetically adding two or more numbers is called sum.

Scientific notation is a form of presenting a very small or very large number in simple form. it is in the form of multiplication of one digit with 10 raise to the power of respective exponent. plus power is used for huge number and minus power is used for tiny number.

Given numbers = 6.9 * 10^6 and 5.9 * 10^5

5.9 * 10^5 = 0.59 * 10^6

Sum of both numbers

= 6.9*10^6 + 0.59*10^6

= (6.9+0.59)*10^6

= 7.49*10^6

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Using proportions, the coordinates of the point 3/10 of the way from (-3,-8) to (12,6) are: (1.5, -3.8).

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

We want a point C 3/10 of the way from A(-3,-8) to B(12,6), hence:

C - A = 3/10(B - A).

The x-coordinate of the point is found as follows:

x + 3 = 3/10(12 + 3)

x + 3 = 4.5

x = 1.5.

The y-coordinate of the point is found as follows:

y + 8 = 3/10(6 + 8)

y + 8 = 4.2

y = -3.8.

Hence the coordinates are: (1.5, -3.8).

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The expression that can be used to find the perimeter of the triangle is P = 12x^2 - 6 and the perimeter when x = 1.5 is 21 inches.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Pablo folds a straw into a triangle with side lengths of 4x^2−3 inches, 4x^2−2 inches, and 4x^2−1 inches

Suppose the sides of the triangle are,

L = 4x^2−3 inches

B = 4x^2−2 inches

H = 4x^2−1 inches

Now since the perimeter is the sum of all the sides.

Thus, Perimeter of the given triangle is given as,

P = L + B + H

Putting the values we get,

P = (4x^2−3) + (4x^2−2) + (4x^2−1)

Expanding the brackets we get,

P = 4x^2 − 3 + 4x^2 − 2 + 4x^2 − 1

Taking alike terms together,

P = 4x^2 + 4x^2 + 4x^2 - 3 - 2 - 1

Now solving we get,

P = 12x^2 - 6

Thus is the expression for the perimeter of the triangle.

Now the perimeter when x  = 1.5

Put x  = 1.5 in the perimeter expression we get,

P = 12(1.5)^2 - 6

Solving we get,

P = 12*2.25 - 6

Solving we get,

P = 27 - 6

Thus we get,

P = 21 inches

this is the required perimeter when x = 1.5

Thus, the expression that can be used to find the perimeter of the triangle is P = 12x^2 - 6 and the perimeter when x = 1.5 is 21 inches.

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Answer:

12x2 −6; 21 inches

Step-by-step explanation:

Quinn, the student, is the fastest

Quinn: 30/60, or 1/2 page per second.

Quinn is the fastest student when it comes to folding pamphlets.

A polynomial divided by another polynomial is a rational function. The domain of a rational function is the set of all numbers excluding the denominator's zeros because polynomials are defined everywhere.

A rational function in mathematics is any function that can be defined by a rational fraction, which is an algebraic fraction in which both the numerator and denominator are polynomials.

Find the folding speed of the students per second.

Neiva: 1/3 pages per second.

Sarah: 2/10 or 1/5 pages per second.

Quinn: 30/60 or 1/2 pages per second.

Deron: 45/120 or 3/8 pages per second.

Among these students, Quinn is the fastest student in folding pamphlets.

Therefore, the correct answer is option b. Quinn.

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The  greatest number of goodie bags he can make is 18.

The number of coloring books that would be in each bag is 4

The number of markers that would be in each bag is 5

The number of chocolate that would be in each bag is 18

The greatest number of goodie bags he can make can be determined by calculating the highest common factor of 72, 90, 180.

The factor of a number is a number that perfectly divides another number. For example, the factors of 18 are 1, 2, 3, 6, 9, 18. The highest common factor is the highest factor of two or more numbers. The highest common factor of 4 and 8 is 4.

Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.

Factors of 180 = 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90 and 180.

Common factors = 1, 2, 3, 6, 9, 18

Highest common factor = 18

The number of coloring books that would be in each bag = 72 / 18 = 4

The number of markers that would be in each bag =90 / 18 = 5

The number of chocolate that would be in each bag = 180 / 18 = 18

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Answer:

B. 3x10^4

Step-by-step explanation:

9x10^-8 = 0.00000009

3x10^-12 = 0.000000000003

0.00000009 / 0.000000000003 = 30,000

3x10^4 = 3x10,000 = 30,000

According to estimates, FG has a magnitude of 2√5.

The vector direction of FG is given as = 63.43°. (angle formed in the 1st quadrant with anti-clockwise direction).

The distance formula is used in complex numbers to show the plane in addition to its magnitude. Distance formulas can also be used to determine the actual the distances between two planes in three- and n-dimensional planes.

Now, in answer to the question posed;

F and G have coordinates of (-1,10) and (1,-12), respectively.

The formula for calculating the distance between points A and B is as follows:

FG² = (x₂ - x₁)² + (y₂ - y₁)²

FG = √[(x₂ - x₁)² + (y₂ - y₁)²]

The coordinates for the points F and G's  are-

(x₁,y₁) = (-4,0)   and (x₂,y₂) = (-6,-4).

Substituting the given values in the distance formula;

FG = √[(-6 + 4)² + (-4 + 0)²]

FG = √[(-2)² + (-4)²]

FG = √[4 + 16] = √20

FG  = 2√5 (magnitude of the vector FG)

Estimate the direction of this same vector FG now. The angle formed by a vector with a horizontal line defines its direction.

Use one of the following formulas to calculate the direction of a vector.

tan Ф = Δy/Δx

Where, x = horizontal change

and, y = vertical change

tan Ф = (y₂ - y₁)/(x₂ - x₁)

      = (-4 + 0)/(-6 + 4)

tan Ф = -4/(-2) = 2

Ф = 63.43°  (angle lies with in the first quadrant with anticlockwise direction).

As a result, the distance between F and G is determined to be 2√5. (the same as the magnitude of a given vector FG).

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Answer:

c

Step-by-step explanation:

(a) A regular 16- gon is a convex polygon ← True

(b) It has 16 congruent sides ← True

(c)

the sum of the interior angles of a regular polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 16 , then

sum = 180° × 14 = 2520°

thus 2880° is False

(d)

the sum of the exterior angles of any polygon = 360° ← True

The Final value for the given question is 11 /5.

x / 11 = 13 / 65 is the given expression.

Here, we must determine the value of 'x' in the preceding expression.

We get by multiplying '11' on both sides

= x * 11 / 11 = 13 * 11  / 65

By canceling common numbers on the numerator and denominator we get

= x  = 13 * 11 / 65

= x = 11 / 5

Therefore, the correct value for x is 11 /5.

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For given equilateral triangle ΔRST, x = 2. And the measure of each side is 11 units.

In given question,

ΔRST is equilateral triangle.

We have been given some information about sides of ΔRST.

RS is three more than four times x.

We write above statement as mathematical expression.

RS = 3 + 4x

ST is seven more than two times x.

We write above statement as mathematical expression.

ST = 7 + 2x

and TR is one more than five times x.

We write above statement as mathematical expression.

TR = 1 + 5x

We need to find the value of x.

Since ΔRST is an equilateral triangle, RS = ST = RT

⇒ 3 + 4x = 7 + 2x = 1 + 5x

Consider 3 + 4x = 7 + 2x

⇒ 4x - 2x = 7 - 3

⇒ 2x = 4

⇒ x = 2

Now we find the measure of each side.

RS = 3 + 4x

RS = 3 + 4(2)

RS = 11 units

But RS = ST = RT

So, the measure of each side is 11 units.

Therefore, for given equilateral triangle ΔRST, x = 2. And the measure of each side is 11 units.

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Answer:

A) 96°

B) 84°

C) 84°

D) 96°

Step-by-step explanation:

∠2 = ∠5 = (180-84)° = 96°

∠3 = ∠4 = 84°

Hope this helps

Answer: Ratio: 2:3

2 ==> 1st term

Step-by-step explanation:

22.78125/4.5=5.0625

5.0625^(1/(7-3))=

5.0625^(1/4)=1.5 ==> Ratio: 1:1.5 ==> 2:3

4.5 / 1.5^(3-1)=

4.5 / 1.5^2=

4.5 / 2.25 = 2 ==> 1st term

The first term (a) in the geometric progression is approximately 2.

The common ratio (r) is 1.5.

Here, we have to find the common ratio (r) and the first term (a) in the geometric progression, we'll use the formula for the nth term of a geometric sequence:

[tex]u_n = a * r^{(n-1)[/tex]

where:

[tex]u_n[/tex] is the nth term,

a is the first term,

r is the common ratio,

n is the position of the term in the sequence.

Given u3 = 4.5 and u7 = 22.78125:

For n = 3:

[tex]u_3 = a * r^{(3-1)}\\4.5 = a * r^2[/tex]

For n = 7:

[tex]u_7 = a * r^{(7-1)}\\22.78125 = a * r^6[/tex]

Now, we have two equations:

[tex]a * r^2 = 4.5\\a * r^6 = 22.78125[/tex]

Divide equation 2 by equation 1:

[tex](a * r^6) / (a * r^2) = 22.78125 / 4.5[/tex]

Simplify:

[tex]r^4 = 5.0625[/tex]

Now, take the fourth root of both sides to find the value of r:

r = √(5.0625)

r ≈ ± 1.5

Since r is the common ratio, it cannot be negative in a geometric progression.

So, the common ratio (r) is 1.5.

Now, we can find the first term (a) using equation 1:

[tex]a * r^2 = 4.5[/tex]

Substitute the value of r (1.5):

[tex]a * (1.5)^2 = 4.5[/tex]

a * 2.25 = 4.5

Divide by 2.25:

a ≈ 4.5 / 2.25

a ≈ 2

Therefore, the first term (a) in the geometric progression is approximately 2.

The common ratio (r) is 1.5.

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Answer:

g(x)=f(x-2)+3

Step-by-step explanation:

The given sequence 2, 5, 9, 14,… is not an Arithmetic sequence.

The given sequence is 2, 5, 9, 14,…

Here, [tex] a_{1}[/tex] = 2, [tex] a_{2}[/tex] = 5 and [tex] a_{3}[/tex] = 9.

A sequence is considered as an Arithmetic sequence if their difference is equal. Represented as -

[tex] a_{2}[/tex] - [tex] a_{1}[/tex] = [tex] a_{3}[/tex] - [tex] a_{2}[/tex] = [tex] a_{4}[/tex] - [tex] a_{3}[/tex] and so on

Now, in the given sequence

⇒[tex] a_{2}[/tex] - [tex] a_{1}[/tex] = 5 - 3

[tex] a_{2}[/tex] - [tex] a_{1}[/tex] = 2

⇒ [tex] a_{3}[/tex] - [tex] a_{2}[/tex] = 9 - 5

[tex] a_{3}[/tex] - [tex] a_{2}[/tex] = 4

⇒ [tex] a_{4}[/tex] - [tex] a_{3}[/tex] = 14 - 9

[tex] a_{4}[/tex] - [tex] a_{3}[/tex] = 5

Since, the difference between the successive terms are not same.

∴ The given sequence 2, 5, 9, 14,… is not an Arithmetic sequence.

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The recursive definition for Q is Q(n) = Q(n-1) + 1.5

It refers to a "series where the deviations between every subsequent term are exactly the same" (or) "each term is acquired by adding a specific number (positive, negative, or zero) to its preceding term."

We have three values of sequence:

Q(1)=4

g(3)=7

Q(7)=13

Let us assume the sequence to be an arithmetic sequence

The n-th term of any arithmetic sequence is determined by:

[tex]a_{n}[/tex] = a+(n-1) d

Q(3)=Q(-1)+(3-1)d

7 =4+2d

2d = 3

d = 3/2

d = 1.5

Now, Q(7) = Q(1) + (-1)d

13 = 4+6 d

6d = 9

d = 9/3

d = 1.5

So, the d is the same for both terms.

Therefore, this is an arithmetic sequence.The recursive relation is given as [tex]a_{n}[/tex] = a(n-1)d.

Then, the recursive definition for Q is Q(n) = Q(n-1) + 1.5.

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Answer:

$340 per week

Step-by-step explanation:

$40 hours a week

$8.50  per hour

40x8.5=weekly pay

40x8.5=340

The independent variable is time on the x axis and the dependent variable is distance on the y-axis.

When making a time graph, the independent variable is the variable that is shown by the x-axis. Time will usually be the independent variable because we cannot change time so we watch for the changes in other things as time goes on.

In this case therefore, the independent variable is time which will be shown as the x-values. The dependent variables would then be the distance which would be the y-values.

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