In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below shows some values for the given equation. Find the values of a and b.

Answer:

The explicit function that represents Mark's salary is;

[tex]y = \$ 65,000 \times (1.02)^x[/tex]

Step-by-step explanation:

The given parameters are;

The amount Mark will make at annually as an engineer = $65,000

The percentage annual pay increase guaranteed by the company = 2%

The explicit function that represents Mark's salary can be presented as follows;

Let Mark's present salary = y

Therefore we have;

y = $65,000× (1 + 0.02)ˣ = $65,000× (1.02)ˣ

Mark salary, y at a particular year, x is y = $65,000× (1.02)ˣ.

Answer:

C

Step-by-step explanation:

1 km = 100,000 cm

Answer:

1:100,000

Step-by-step explanation:

One km is 1000 times a meter and 100,000 times a cm.

Answer:

d= St/2

Step-by-step explanation:

by simplification the RHS and LHS

Answer:

Your answer is:

(x+2)^2

Factor x2+4x+4

x2+4x+4

The middle number is 4 and the last number is 4.

Add together to get 4

Multiply together to get 4

2+2 = 4

2*2 = 4

(x+2)(x+2) or (x+2)^2

Answer:

True

Step-by-step explanation:

Answer/Step-by-step Explanation:

4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] A(-2, -3) = (x_1, y_1) [/tex]

[tex] B(1, 2) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{-2 + 1}{2}, \frac{-3 + 2}{2}) [/tex]

[tex] M(\frac{-1}{2}, \frac{-1}{2}) [/tex]

5. Given M(3, 5) as midpoint of CD, and C(-1, -1),

let [tex] C(-1, -1) = (x_2, y_2) [/tex]

[tex] D(?, ?) = (x_1, y_1) [/tex]

[tex] M(3, 5) = (\frac{x_1 +(-1)}{2}, \frac{y_1 +(-1)}{2}) [/tex]

Rewrite the equation to find the coordinates of D

[tex] 3 = \frac{x_1 - 1}{2} [/tex] and [tex] 5 = \frac{y_1 - 1}{2} [/tex]

Solve for each:

[tex] 3 = \frac{x_1 - 1}{2} [/tex]

[tex] 3*2 = \frac{x_1 - 1}{2}*2 [/tex]

[tex] 6 = x_1 - 1 [/tex]

[tex] 6 + 1= x_1 - 1 + 1 [/tex]

[tex] 7 = x_1 [/tex]

[tex] x_1 = 7 [/tex]

[tex] 5 = \frac{y_1 - 1}{2} [/tex]

[tex] 5*2 = \frac{y_1 - 1}{2}*2 [/tex]

[tex] 10 = y_1 - 1 [/tex]

[tex] 10 + 1= y_1 - 1 + 1 [/tex]

[tex] 11 = y_1 [/tex]

[tex] y_1 = 11 [/tex]

Coordinates of D is (7, 11)

Answer:

-6

Step-by-step explanation:

The opposite value of an integer is the same distance from the origin of the number line as the number, just on the opposite side. So the integer 6's opposite is -6.

Answer:

Factor analysis

Step-by-step explanation:

Factor Analysis is a method for modeling observed variables, and their covariance structure, in terms of a smaller number of underlying unobservable “factors.” These factors are typically viewed as broad concepts or ideas that may describe a noted occurrence.

Take for example:

A basic impulse of acquiring a certain social level might explain most consumption behavior. These unobserved factors are more interesting to the social scientist than the noted numerical measurements.

Answer:

y=0

Step-by-step explanation:

-2(4+3y)=-2(4+y)

-8-6y=-8-2y

+8     +8

-6y=-2y

+2y +2y

-4y=0

-4y/-4=0/-4

y=0

Answer:

you cant answer the question you need to attach full question photo

For any n sided regular polygon, there are n lines of symmetry. A regular decagon has n = 10 sides, so there are 10 lines of symmetry.

Answer:

10

Step-by-step explanation:

Step-by-step explanation: Think of a translation as just sliding a figure.

So here, we will move each of the points 1 unit to the left.

Take a look below.

On the new figure translate I used the ' next to the letters.

That means "prime" which shows that we changed its location.

Make sure to use that on the new translation!

Answer:

2(1 - x)

twice = 2

difference = subtraction

1

number = x

The algebraic expressions for Twice the difference of 1 and a number is:

2(1 - x)

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

We have:

Twice the difference of 1 and a number

Let x represent the number.

Let's write algebraic expression now:

The difference of 1 and a number is: 1 - x

Twice the difference of 1 and a number will be:

2 * (1 - x) = 2(1 - x)

Therefore, twice the difference of 1 and a number is 2(1 - x)

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Answer:

-750

Step-by-step explanation:

Step 1: Write out expression

3xy²(-y)

Step 2: Replace variables

3(2)(5)²(-5)

Step 3: Evaluate

3(2)(25)(-5)

6(25)(-5)

150(-5)

-750

Answer:

Kindly check explanation

Step-by-step explanation:

Let number of loaves = nl

Cups of flour = cp

Tablespoonful of water = sw

Teaspoonful of salt = ss

1 loaf of bread calls for :

2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt

1 loaf :

cp = 2 × nl

sw = 12 × nl

ss = 1 × nl = nl

nl - - - - - - cp - - - - - - sw - - - - - - ss

1 - - - - - - - 2 - - - - - - - 12 - - - - - - 1

2 - - - - - - - 4 - - - - - - - 24 - - - - - 2

4 - - - - - - - 8 - - - - - - - 48 - - - - - 4

3 - - - - - - - 6 - - - - - - - 36 - - - - - 3

Number of loaves = cups of flour / 2

Answer:

i. The relative error in the estimated distance is approximately 7.5%.

ii. The value of the estimated distance was about 12.5 miles far of from the actual value.

Step-by-step explanation:

Given that;

Estimated distance  ≅ 180 miles

Actual distance = 167.5 miles

Then,

Estimated distance - Actual distance = 180 - 167.5

                                                             = 12.5 miles

So that,

Relative error = [tex](\frac{estimated distance - actual distance}{actual distance} )[/tex] × 100%

                       = [tex]\frac{12.5}{167.5}[/tex] × 100%

                       = 0.07463 × 100%

                       = 7.5%

i. The relative error in the estimated distance is approximately 7.5%.

ii. The value of the estimated distance was about 12.5 miles far of from the actual value.

Answer:

36 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

(5[tex]\frac{1}{2}[/tex] x 3) + (10 ÷ [tex]\frac{1}{2}[/tex])

(16[tex]\frac{1}{2}[/tex]) + (10 ÷ [tex]\frac{1}{2}[/tex])

(16[tex]\frac{1}{2}[/tex]) + (20)

36 [tex]\frac{1}{2}[/tex]

16\3 × 3\1=48\3

10\1÷ 1\2

10\1 × 2\1=20\1

20\1 + 20\1=960\3

Answer:0•0667

Step-by-step explanation: i don't really understand what you want but if it is one divide by five divide by three the answer is☝️☝️☝️

Answer:

1/15

Step-by-step explanation:

I think you mean 1/5 x 1/3? if not correct me and ill try to come back to your question.

Answer:

respect , structure

Step-by-step explanation:

If a person has a high level of self-discipline, that means they are very responsible and self-controlled.

They work hard without being asked to, and they stop themselves from getting addicted to things, and they don't do anything bad.

♡ Hope this helped! ♡

❀ 0ranges ❀

Answer:  x = 2/5 in fraction form

In decimal form, the answer is x = 0.4

====================================================

Work Shown:

2/3 = two thirds

2/3 + (1/3)x = 2x  is the equation you're given

Multiply every term by 3 so that we clear out the fractions

3*(2/3) + 3*(1/3)x = 3*2x

2 + x = 6x

From here, we solve for x

2 + x = 6x

2+x-x = 6x-x .... subtract x from both sides

2 = 5x

5x = 2

5x/5 = 2/5 ... divide both sides by 5

x = 2/5

x = 0.4

The solution of the expression is,

⇒ x = 0.4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''Two thirds plus one third times x equals two times x.''

Now, We can simplify as;

⇒ 2/3 + 1/3x = 2x

Solve for x as;

⇒ 2/3 = 2x - 1/3x

⇒ 2/3 = 5x/3

⇒ 2 = 5x

⇒ x = 2/5

⇒ x = 0.4

Thus, The solution of the expression is,

⇒ x = 0.4

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Answer:

z = 13.75 * 0.8 = 11 ( two nonzero digits )  

Step-by-step explanation:

An equation that has two decimal places multiplied by a number with one decimal place can be written as

z = x*y

where x can be = 13.75

and y = 0.8

therefore : z = 13.75 * 0.8 = 11 ( two nonzero digits )  

Answer:

3 cm < x < 25 cm

Step-by-step explanation:

Given 2 sides of a triangle then the possible values for the third side are

let the third side be x

difference of sides < x < sum of sides , that is

14 - 11 < x < 14 + 11

3 < x < 25

Answer:

-40/2 is equal to -20

Step-by-step explanation:

still dont kno what n w z r means

Answer:

40%

Step-by-step explanation:

The probability of the arrow landing on the green section is a 40% chance

This is because there are only 3 sections where one is 50 and the other is 10

To find the green we can create an equation, where x = green section

50 + 10 + x = 100

The equation equals 100 because that's the highest the percentage will go in probability, unless we were told otherwise

60 + x = 100

x = 100 - 60

x = 40

Answer:

Step-by-step explanation:

In the given numbers,

0.91..... = Rational number

[tex]-\frac{2}{3}[/tex] = Negative rational number

[tex]\frac{100}{11}[/tex] = Rational number

1.52323.... = Irrational number

-0.3333....  = Negative rational number

Although 1.52323..... is an irrational number but Lauren put these numbers in the same group because they are either rational or irrational numbers.

Answer:

its D, F and B

Step-by-step explanation:

I just got it right on edge 2020

Answer:

36cm²

Step-by-step explanation:

From the sketched diagram of the Quadrilateral above, we have two triangles that are joined together, ∆PQR and ∆PSR

Both triangles are right angled triangles.

Step 1

We solve for ∆PQR

When solving for the sides of a right angled triangle, if two sides are given, we solve for the third sides using Pythagoras Theorem

Pythagoras Theorem =

c² = a² + b²

Where c = Longest side

For ∆PQR,

/PQ/ = 3 cm = a

/QR/ = 4 cm = b

/PR/ = c ??

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = √25

c = 5cm

/PS/ = 5cm

We find the Area of this triangle using Heron's formula

= √s(s - a)(s - b)(s - c)

Where s = a + b + c/2

s = 3 + 4 + 5/2

= 12/2

s = 6

Area of the ∆PQR = √6(6 - 3)(6 - 4)(6 - 5)

= √6 × 3 × 2 × 1

= √36

= 6cm²

Area of the ∆PQR

Step 2

We solve for ∆PSR. Just like in Step 1, we solve for third side not given using Pythagoras Theorem

/PS/ = 13cm = c

/PR/ = 5cm = a

/SR/ = ?? = b

c² = a² + b²

13² = 5² + b²

b² = 13² - 5²

b² = 169 - 25

b² = 144

b = √144

b = 12cm

/SR/ = 12cm

We find the Area of this triangle using Heron's formula

= √s(s - a)(s - b)(s - c)

Where s = a + b + c/2

s = 5 + 12 + 13/2

= 30/2

s = 15

Area of the ∆PSR = √15(15 - 5)(15 - 12)(15 - 13)

= √15 × 10 × 3 × 2

= √900

= 30cm²

Area of the ∆PSR = 30 cm²

Step 3

We find the Area of the Quadrilateral

Area of the Quadrilateral (PQRS)= Area of ∆PQR + Area of ∆PSR

= 6cm² + 30cm²

= 36cm²

Therefore the Area of the Quadrilateral PQRS = 36cm²

Answer:

q = 27

I hope this helps!

Answer: q=27

Step-by-step explanation:

Given

5(34-10)-5q=-15

Combine like term in the parentheses

5×24-5q=-15

Combine like term by multiplication

120-5q=-15

Subtract 120 on both sides (subtraction property of equality)

120-5q-120=-15-120

-5q=-135

Divide -5 on both sides (division property of equality)

-5/-5 q=-135/-5

q=27

Hope this helps!! :)

Please let me know if you have any question

The value of,

1.  AB = 3x + 6 BC = 2x + 14 then, AC = 5x + 20

2. AB = 5x – 8 BC = 16 - 3x then, AC = 2x + 8

3. AC = 3x - 1 BC = 12-X then, AB = 4x - 13

4.  AB = 2x + 11 BC = 4x - 5 then AC = 6x + 6

5. AC = 6x-4 BC = 4x - 3 then AB = 2x - 1

What is Midpoint?

Midpoint is the point in the middle of the two endpoints of a line segment.

Now, B is midpoint of AC.

Then, AC = AB + BC

1. AB =  3x + 6, BC = 2x + 14

Then, AC = 3x + 6 + 2x + 14

         AC = 6x + 20

2. AB = 5x – 8,  BC = 16 - 3x

Then, AC = 5x - 8 + 16 - 3x

        AC = 2x + 8

3. AC = 3x - 1,  BC = 12-x

Then, AB =( 3x -1 ) - ( 12 - x )

        AB = 2x - 13

4.  AB = 2x + 11, BC = 4x - 5

Then, AC = 2x + 11 + 4x - 5

        AC = 6x + 6

5.  AC = 6x-4,  BC = 4x - 3

Then, AB = (6x - 4) - (  4x - 3 )

        AB = 2x - 1

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Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

Firstly we have to take variables to L.H.S and numbers to R.H.S

[tex]13n + 5n = - 8 + 16 \\ 18n = 8 \\ n = \frac{8}{18} \\ n = \frac{4}{9} [/tex]

Hope it helps