Consider the function that is represented by the equation y = 3x + 2. If we had an x-value of 3, what would the corresponding y-value be?

[tex]3x+4y=12\implies 4y=-3x+12\implies y=\cfrac{-3x+12}{4} \\\\\\ y = \cfrac{-3x}{4}+\cfrac{12}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+\stackrel{\stackrel{b}{\downarrow }}{3}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

The number of terms of the 2nd A.P if its common difference is given as 4 is 76.

What is common difference?

The difference between consecutive integers in an arithematic sequence is a frequent distinction. Simply subtract the first word from the second term, or the second from the third, or anything similar, to find it. See how we have to add 8 each time to reach the following term? Thus, our common difference is eight.

1st A.P

Let 1st term be a d = 6

Therefore T51 = a + ( 51 - 1 )6

= a + 300

Now 2nd A.P

let the 1st term be a

Therefore for n no. of terms,

lats term,  a + ( n - 1 )4

But according to the question:

 a + ( n - 1 )4 =  a + 300

n - 1 = 300/4

n = 75 + 1

n = 76

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The number of turns gear B will make is 8.25 turns

Given data

Gear A turns clockwise and has 54 teeth

Gear B turns counterclockwise and has 36 teeth

gear A makes 5.5 rotations

One of the gears is driving the other hence the distance covered by each of the gears is constant.

The distance is the product of the number of rotations and the number of teeth and this should be a constant

Therefore, let the number of rotations of gear B be x

54 teeth * 5.5 rotations = 36 teeth * x rotations

x rotations = ( 54 teeth * 5.5 rotations ) / 36 teeth

x rotations = 54/36 * 5.5

x rotations = 1.5 * 5.5

x rotations = 8.25

We can therefore say that gear B will make 8.25 rotations

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The result of the function f(x)=x+6 when x= -2,0 and 5 is

f(-2)= 4

f(0)= 6

f(5) = 11

The function  is f(x) = x+6

The function is an expression that shows the relationship between one variable and another variable.  One variable will be independent variable and another variable will be dependent variable.

The given function f(x) = x+6 when x =-2, 0 and 5. Here we have to substitute the values of x in the given function

f(x)  = x+6

f(-2) = -2+6

= 4

f(0) = 0+6

= 6

f(5) = 5+6

= 11

Hence, the result of the function f(x)=x+6 when x= -2,0 and 5 is

f(-2)= 4

f(0)= 6

f(5) = 11

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Answer:

The music service one

By using algebraic handling, the factored form of the polynomial is (x + i 5) · (x - i 5).

In this question we have the case of a quadratic equation of the form y = x² + b², the factored form of this polynomial consists in a equivalent form consisting in a product of simpler terms. There is a similar expression whose formula is:

x² - a² = (x + a) · (x - a)

Now we proceed to modify the expression into a factored form:

The factored form of the polynomial x² + 25 is (x + i 5) · (x - i 5).

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Answer:

it is a linear equation

Step-by-step explanation:

At 1 hour, 3 hours and 6.5 hours she travels 36 miles, 108 miles and 234 miles respectively using the concept of average speed of an object.

As per the question statement, Clare covers a distance of 0 miles, 72 miles, 144 miles and 216 miles in 0 hours, 2 hours, 4 hours and 6 hours respectively.

We are supposed to find out the distance travelled by her in 1 hour, 3 hours and 6.5 hours.

We will use the concept of average speed of an object which is as follows

average speed = total distance divided by the total time taken

average speed = 216/6 = 36 miles per hour

Hence at 1 hour, distance = 1 * 36 = 36 miles

at 3 hours, distance = 3 * 36 =108 miles

at 6.5 hours, distance = 6.5 * 36 = 234 miles

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Answer:

x/2 + 1/8

Step-by-step explanation:

3/2(x+3/4) - (x+1)

3/2x + 9/8 - x -1

x/2 + 1/8

Answer: ¼ or 25% or 0.25

Step-by-step explanation:

5 boys = 25% of the class

5/20

¼ or 25% or 0.25

When  3.68086257145 divided by 6.533 * 4,085,0811 we get 1.379228624370833401829E-8

The methods of division are of three types according to the difficulty level. These are the chunking method or division by repeated subtraction, short division method or bus stop method and long division method.

The division of two numbers can be calculated using the following formula:

Dividend / Divisor = Quotient + Remainder.

The number that is being divided in this case is known as the dividend. The number that divides the number (dividend) into equal parts is known as the divisor.

The quotient is the result of the division operation.

The remainder is the leftover number in the division operation.

We have been given that

3.68086257145 divided by 6.533× 4,085,0811

First we simplify multiplication part

6.533× 4,085,0811  = 266878348.263

Now

3.68086257145 divided by 266878348.263

3.68086257145 ÷ 266878348.263

= 1.379228624370833401829E-8

Hence , 1.379228624370833401829E-8 is the result of the 3.68086257145 divided by 6.533× 4,085,0811 .

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The total cost for her jeans will be $84.

From the information, Grace has a coupon for $2 off the regular price of each pair of jeans she buys and she buys 4 pairs of jeans with a regular price of $23 each.

The total cost for her jeans will be:

= (4 × $23) - (4 × $2)

= $92 - $8

= $84

Therefore, it should be noted that the total cost is $84.

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The image of triangle ABC△ABC triangle, A, B, C under a dilation whose center is CCC and scale factor is 222. The dimensions of the new triangle are 8.2, 12.8, and 10.2 units. The graph of the Δ is given below.

A spatial transformation is each mapping of the feature space to itself and it maintains some spatial correlation between figures.

The △ABC is given below.

The dimensions of triangle are approximately 4.1, 6.4, and 5.1.

And scale factor of the dilation is 2.

If △ABC is dilated by the scale factor of 2 as a center of C.

Then dimensions of the new △A'B'C will be

A'C = AC × 2

A'C = 4.1× 2

A'C = 8.2 units

B'C = BC × 2

B'C = 6.4 × 2

B'C = 12.8 units

B'A' = BA × 2

B'A' = 5.1 × 2

B'A' = 10.2 units

Then the dimensions of new triangle are 8.2, 12.8, and 10.2 units.

The graph of triangle is given below:

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The function f(17) represent your friend paid for 17 rides and had $42.75 left over.

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let f(x) represent the amount that the rider has left over after x rides.

f(x) = -1.25x + 64

f(17) = -1.25(17) + 64 = 42.75

f(17) = $42.75

f(17) represent the money left

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The number of gigabytes Salma can use while staying in her budget is less than 4.

In mathematics, an inequality is a connection between two expressions and values that aren't equal to each other.

As per the given question;

The total budget of Salma is $75.

The flat cost is $55.

The cost per gigabytes is $5.

Let the number of gigabytes used be 'x'.

Then, the inequality becomes.

55 + 5x < 75

Subtracting 55 from both sides.

55 + 5x - 55 < 75  - 55

5x < 20

Divide both sides by the 5

x < 4

Thus, the number of  gigabytes Salma can use while staying in her budget is less than 4.

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Answer:

The lengths of the sides are 18 ft, 18 ft, and 24 ft.

Answer: There are 7 coffee shops per square mile

Step-by-step explanation:

1,400,000/100,000=14

14x17=238

238/34=7

Answer:

400 miles

Step-by-step explanation:

Let m be the number of miles.

[tex]85(2) + .30m = 290[/tex]

[tex]170 + .30m = 290[/tex]

[tex].30m = 120[/tex]

[tex] m = 400[/tex]

Answer: 17/100, which would be 17%

Step-by-step explanation:

The relation on the table of values is a linear model,

The table of values is given as

Number cars sold 5 6 7 8 9 10

Salary 2750 3200 3650 4100 4550 5000

On the table of values, we can see that:

As the number of cars increase by 1, the salary increases by 450

This means that the table has a constant rate of 450

Relations that have a constant rate are  linear relations

Hence, the table of values is a linear relation

In (a), we have

Slope, m = 450

A linear equation is represented as

y = m(x - x1) + y1

So, we have

y = 450(x - 5) + 2750

Evaluate

y = 450x + 500

When the number of cars is 23, we have

y = 450 x 23 + 500

Evaluate

y = 10850

Hence, the total monthly pay is $10850

Here, we have

y = 6800

This gives

450x + 500 = 6800

This gives

450x = 6300

Evaluate

x = 14

Hence, the number of cars is 14

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The two come separately, and the p(wed.) value for each one is 0.0841. It is founded on likelihood on probability.

Probability is a way to gauge how likely something is to happen. Many things are hard to predict with complete certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur.

The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. Probability of an event P(E) = (Number of favourable outcomes) is how it is stated (Sample space).

based on the facts provided;

p(0) = p(w,w)

= 0.29² = 0.0841

p(1) = p(t, w+t) + p(w, t)

= 2p(w,t) +p(t,t) = 2·.29·.37 + .37² = 0.3515

p(2) = p(f, w+t+f) +p(w+t, f)

= 0.16(2(.29+.37)+.16) = 0.2368

p(3) = p(s, w+t+f+s) +p(w+t+f, s)

= 0.18(2(.29+.37+.16) +.18) = 0.3276

In summary, your pmf is ...

y : p(y)

0 : 0.0841

1 : 0.3515

2 : 0.2368

3 : 0.3276

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A graph of the given ordered pairs has been plotted as shown in the image attached below.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.

In conclusion, a graph which represents the given ordered pairs shows a discrete function.

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Answer: -p - 30

Step-by-step explanation:

         We will simplify the expression.

   Given:

4p - 5(p + 6)

   Distirubte the negative 5:

4p - 5p - 30

   Combine like terms:

-p - 30

different numerators and denominators but are equal to the same value.
-
if you need a specific number answer from a problem, you'd need to attach a picture

Answer:

$369.60

Step-by-step explanation:

65% = 0.65

1.00 + 0.65 = 1.65

$224 * 1.65 = $369.60

the original price was $369.60

Answer:

The original price was 640

Step-by-step explanation:

Let the price be x

100%-65%=35%

35%/100%*x=224

35x=22400

x=640

The sequence that contains all the given terms is:

aₙ = -18 + 6*n

Then the correct option is C.

Here we have the elements:

a₃ = 0

a₄ = 6

a₅ = 12

a₆ = 18

a₇ = 24

So each term adds 6 to the previous one, so trivially the relation is of the form:

aₙ = aₙ₋₁ + 6

Now we need to find the first term.

We can rewrite the above equation as:

aₙ₋₁ = aₙ - 6

Then we willget:

a₂ = a₃ - 6 = 0 - 6 = -6

a₁ = a₂ - 6 = -6 - 6 = -12

a₀ = a₁ - 6 = -18

Then the sequence is:

aₙ = -18 + 6*n

Then the correct option is C.

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Angles of ∠y is 45° and ∠x is 135°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given Data

SRQ = 130°

∠R = 130°

As PR is the same line

So. angles of the line is 180°.

∠Y + ∠R = 180

∠y = 180 - 135

∠y = 45°

Now, PQ is the straight line

∠y +∠x = 180

∠x = 180-45

∠x = 135°

Angles of ∠y is 45° and ∠x is 135°.

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The answer is 876. Hope this helps.

Answer:

Option 2: 876

Step-by-step explanation:

[tex]\frac{13,140}{15} = 876[/tex]