What is the equation of the line that passes through the points (36, - 30) and ( - 12, 34).
Write your answer in slope-intercept form using integers and/or simplified fractions.

Answer:

number 1 and 2

Step-by-step explanation:

polynomial expressions have 4 or more numbers

Answer:

The first and last examples are polynomials

Step-by-step explanation:

The second example is not a polynomial because you cannot have fractional exponents.

The third example is not a polynomial because by cannot have variables in the denominator.

Answer:

i agree

Step-by-step explanation:

A line passes through the point (-4, 3) and has a slope of -2 will be y = - 2x - 5.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is - 2. Then the equation of the line is given as,

y = - 2x + c

The equation passes through the point (-4, 3). Then the value of 'c' is given as,

3 = - 2(-4) + c

3 = 8 + c

c = - 5

The equation of the line is given as,

y = - 2x - 5

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The solution of the inequality m + 1/4 < -[tex]1\frac{2}{5}[/tex] is  m < [tex]-1\frac {13}{20}[/tex].

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

We have the inequality expression,

m + 1/4 < -[tex]1\frac{2}{5}[/tex]

Simplifying,

m + 1/4 < -7/5

Subtracting 1/4,

m < -7/5 - 1/4

m < (-28-5)/20

m < -33/20

m < [tex]-1\frac {13}{20}[/tex]

Therefore, the solution is m < [tex]-1\frac {13}{20}[/tex].

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After evaluation we get the above expression 1/18

It is the mathematical statement that expresses the method of a mathematical operation in a symbolic way. An expression is developed based on two or more terms along with operator. The terms are variables and numbers. In a word, an expression is either combination of numbers, operators or numbers, variables, operators.

we are given an expression

3c/ (2b²)

the value of b and c are also given, b= 3 and c = 1/3

The expression is written in fractional form that has 2 numbers and 2 variables. The number are 2 and 3, variables are c and b

The numerator 3c and the denominator 2b²

if we put the value of b and c

(3×1/3) / (2×9) =1/18

hence the result 1/18

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Answer:

u ≈ 5.5

Step-by-step explanation:

[tex]\frac{u}{9}[/tex] = [tex]\frac{8}{13}[/tex] ( cross- multiply )

13u = 9 × 8 = 72 ( divide both sides by 13 )

u = 72 ÷ 13 ≈ 5.5 ( to the nearest tenth )

The formula for g(x) in terms of h(x) is: g(x) =  h(x - 5) -1

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The turning point (stationary point) of the curve.

the minimum point of a parabola that opens upwards

the maximum point of a parabola that opens downwards

To find the series of translations that transform the graph of y = h(x) onto y = g(x), compare the vertices of both graphs.

Vertex of h(x) = (-5, 7)

Vertex of g(x) = (0,6)

Find the difference of coordinates, the rule of translation right and up

x = 0 - (-5) = 5

y = 6- (7) = -1

h(x) translated 7 units right = h(x - 5)

h(x - 7) translated 5 units up = h(x - 5) -1

Therefore, the formula for g(x) in terms of h(x) is: g(x) =  h(x - 5) -1

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Answer:

3.  x^10

4.  648

Step-by-step explanation:

See the attached worksheet

The volume of the cylinder is approximately 478.9 cm3.

To find the volume of a cylinder, you can use the formula:

[tex]Volume = \pi r^2h[/tex]

where r is the radius of the base of the cylinder and h is the height of the cylinder.

In this case, the radius of the cylinder is 1.045 cm and the height is 30.48 cm, so the volume is approximately 478.9 cm3. This is found by plugging the given values into the formula and rounding to the nearest tenth:

Volume = [tex]\pi (1.045 cm)^2(30.48 cm)[/tex] = 478.9 cm3.

So, the volume of the cylinder is approximately 478.9 cm3.

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Complete Question:

A graduated cylinder (approximate as a regular cylinder) has a radius of 1.045 cm and a height of 30.48 cm. What is the volume of the cylinder in cm3 (use 3.141 for TT)? Round to the nearest tenths.

The answer is (a) exactly three. The probability of selecting exactly three adults out of a sample of 20 who have been told that they have hypertension is calculated using the Binomial Distribution. The probability can be calculated using the formula:

The probability of selecting at least three adults out of a sample of 20 who have been told that they have hypertension is calculated using the Cumulative Binomial Distribution. The probability can be calculated using the formula:

The probability of selecting at most five adults out of a sample of 20 who have been told that they have hypertension is calculated using the formula:

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To find the slope of a tangent line using a secant line, you can use the following formula:

where (x1, y1) and (x2, y2) are points on the secant line.

This formula works because the slope of a line is simply the change in y (the "rise") divided by the change in x (the "run"). When you use two points on a secant line to approximate the slope of the tangent line, the change in y (y2 - y1) represents the rise, and the change in x (x2 - x1) represents the run.

By taking the limit of this formula as x2 approaches x1, we can find the slope of the tangent line at the point where x = x1. This is known as the limit definition of the derivative.

For example, suppose we have a function f(x) and we want to find the slope of the tangent line at x = a. We can take two points on the secant line that pass through (a, f(a)) and (a + h, f(a + h)), where h is a small positive number. The slope of the secant line through these two points is (f(a + h) - f(a))/(a + h - a) = (f(a + h) - f(a))/h. As h approaches 0, this expression approaches the slope of the tangent line at x = a.

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The total number of children in Ms. Mayer's class is 32.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:

Percentage = (value / total value) * 100%

Let Total number of student = X

Therefore;

25% of X = 8

(25/100)X = 8

Therefore;

X = 8 / (25/100)

X = 800/25

X = 32

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a) The distance of the shop from motorcyclist's home is 600 meters.

b) A distance of 1200 meters by the motorcyclist in a period of 4 minutes.

Herein we find the representation of linear equation on a Cartesian plane, where the independent variable, that is, the variable in the horizontal axis, is time (t), in minutes, and the dependent variable, that is, the variable in the vertical axis, is distance from home (d), in meters.

a) How far was the shop from the motorciclist's home?

This distance is the initial distance shown in the picture, that is, the distance at time t = 0 minutes. Thus, the shop is a distance of 600 meters away from motocyclist's home.

b) How far did the motocyclist travel in the first 4 minutes after leaving the shop?

This distance can be found by subtracting the distance at t = 4 minutes by the distance at t = 0 minutes, that is:

Δd = d(4) - d(0)

Δd = 1800 m - 600 m

Δd = 1200 m

The motorcyclist has traveled a distance of 1200 meters in a period of 4 minutes.

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Answer: -3.11, -3.1, -3.01

Explanation:

We are comparing:

-3.11

-3.10

-3.01

-3.11 < -3.10 < -3.01

The lender of Jessica viewed her credit score of 790 that shows lower risk and reimbursement of outstanding balances on time.

A credit card is an electronic card that enables someone to buy items in an emergency when they don't have enough cash to pay for them. This is a specific type of bank loan that must be returned with interest in the future.

The range of numbers that make up a credit score indicate how creditworthy a credit card holder is. This aids in understanding the risk and timing of credit card bill payments. The ideal credit score range is between 300 and 850, with many alternative ranges.

According to the circumstances, Jessica's credit score is 790, which is within the range of 740 to 799, which is considered to be an excellent credit score. This demonstrates that she pays the due balances on time and that there was less of a chance that she would default on the payments.

Any credit card can help you build good credit if you consistently use only a small portion of your available credit and make on-time payments.2 But some cards are designed to help you build credit.

Secured credit cards are secured by cash: You make a security deposit to the bank ($200 is usually the minimum) and get a credit card with a limit equal to that deposit. You then use the card and make payments toward your balance to show that you are a responsible borrower.

Thus, the lender of Jessica viewed her credit score of 790 that shows lower risk and reimbursement of outstanding balances on time.

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Answer:

✔️A) Jessica is low risk and will pay her outstanding balances on time.

Step-by-step explanation:

The required values of x in the collinear points A, B and C are -3, 1, -12 and 12

Points that lie on the same line are called collinear points.

Given that, Points A, B, and C are collinear point B is between A and C.

We will use here segment addition postulate, to solve each part.

The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

1) AB = x+15, BC = x+13 and AC = 22

x+15+x+13 = 22

2x = 22-28

2x = -6

x = -3

2) BC = 2x-2, AC = 3x-3 and AB = 4

3x-3-(2x-2) = 4

3x-3-2x+2 = 4

5x = 5

x = 1

3) BC = x+28, AB = 2x+28 and AC = 12

x+20+2x+28 = 12

3x+48 = 12

3x = -36

x = -12

4) BC = x-8, AB = 9 and AC = 2x-11

x-8+9 = 2x-11

x+1 = 2x-11

x = 12

Hence, the values of x are -3, 1, -12 and 12

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Answer:

y=50+25x

Step-by-step explanation:

x= 25 each hour

add by 25

and it will give you your output.

Answer:

Step-by-step explanation:

The dimensions of the rectangle are:

Height = 40 cm

Width = 30 cm

Diagonal = 50 cm

The sketch is given below.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

A rectangle with a height of 40 cm and a width of 30 cm is drawn.

Now,

The diagonal of the rectangle can be calculated using the Pythagorean theorem.

So,

Diagonal side = x

x² = 30² + 40²

x² = 900 + 1600

x² = 2500

x  = 50 cm

Thus,

Rectangle:

Height = 40 cm

Width = 30 cm

Diagonal = 50 cm

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There is a 7.4% probability that the first marble will be green and the second will be red.

To calculate the probability, you will need to use the following formula:

P(A and B) = P(A) x P(B).

In this case, P(A) is the probability of picking a green marble on the first pick and P(B) is the probability of picking a red marble on the second pick. Using this formula,

we get P(A and B) = 333/999 x 222/998 = 0.074,

which is the probability of picking a green marble on the first pick and a red marble on the second pick.

So, there is a 7.4% chance of this happening.

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There are 460 bass fish present if a sample of 1,000 fish is collected.

We can determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio. Ratios can be divided into two groups. One is the part-to-whole ratio, and the other is the part-to-part ratio. The link between two distinct entities or groupings is depicted by the part-to-part ratio.

Given table shows about type and number of fish,

Type of Fish              Bass      Eel       Gar

Number of Fish          92         56       52

total number of fishes = 92 + 56 + 52 = 200

to find the number of Bass fish if the total fishes are 1000,

= (1000)92/200

= 460

Hence, there are 460 Bass fish present if a sample of 1,000 fish is collected in the lake.

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The height of the rectangle is 200 cm.

A rectangle is a quadrilateral that has two pairs of opposite sides equal to each other and two pairs of opposite sides parallel to each other.

The sum of angles in a rectangle is 360 degrees. Each interior angle is equal to 90 degrees .

The diagonals are also equal and they bisect each other.

The rectangle has a length of 6cm and a breadth of 2m.

Therefore, the height of the rectangle is the breadth of the rectangle.

The height of the rectangle is 2 meters and the length of the rectangle is 6 cm. Let's convert the height of the rectangle to centimetres.

Hence,

height of the rectangle = 2m

1 m = 100cm

2m = ?

cross multiply

height of the rectangle = 2 × 100

height of the rectangle =  200 cm

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The set which represent the given set function { ..., 0, 1, 2, 3}

Set notation is used in math to list numbers, objects or outcomes.

It uses curly brackets called "braces". Objects placed within the braces are the elements of the set.

The ∈ symbol means "is an element of".

Therefore, x ∈ I means that x is an element of the set of integers. (Integers are whole numbers that can be positive, negative, or zero).

The ≤ symbol means "less than or equal to".

Given set notation:  

{ x | x ∈ I, x ≤ 3 }

Therefore, x ≤ 3 means that x is less than or equal to 3.

The given set notation means x is an element of the set of integers less than or equal to 3.

Therefore:

{ x | x ∈ I, x ≤ 3 } = { ..., 0, 1, 2, 3}

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The relationship between y and x can be equation as y = k/x, where k is a constant that does not change.

The equation y varies inversely as x means that as the value of x increases, the value of y decreases, and vice versa. To solve for y, we can use the general equation y = k/x, where k is a constant. This equation states that the value of y is directly proportional to the reciprocal of x.

1. Start by understanding that when two variables are inversely proportional, they follow the equation

y = k/x.

2. The constant, k, is a number that will remain the same throughout the equation.

3. For example, if y varies inversely as x, and

y = 2 when x = 4, then k = 8.

4. Therefore, the equation

y = k/x becomes y = 8/x.

5. To solve for y when x = 5, substitute x = 5 into the equation and solve: y = 8/5

= 1.6.

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Answer:

B

Step-by-step explanation:

The probability that both the two tossed coins will come down heads (or tails) is 1/2 x 1/2 or 1/4.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To calculate the probability of two independent events happening at the same time, you multiply their individual probabilities.

In this case, the two events are the two coin tosses coming up heads (or tails).

The probability of the first coin coming up heads (or tails) is 1/2, and the probability of the second coin coming up heads (or tails) is also 1/2, so the probability of both of them coming up heads (or tails) is (1/2) x (1/2) = 1/4.

Hence, the correct answer would be an option (B).

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Considering the definition of a line, the equation of the line that passes through the point (0, -4) and has a slope of  is y=3x -4.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know:

Substituting the value of the slope and the value of the point, the value of the ordinate to the origin b can be obtained:

-4= 3×0 + b

-4= 0 + b

-4= b

-4= b

Finally, the equation of the line is y= 3x -4.

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Answer:

YES ITS A DIRECT VARIATION

Step-by-step explanation:

explanation in the picture

Answer:

She has ridden 25 miles this week

Step-by-step explanation:

She rode 4 miles on monday to start off the week. Then she rode 4 times the amount he did on Monday, so multiply 4x4. Then he rode 5 more miles so add 5 and receive the answer of 25 miles.

Equation:

1. Write Equation: 4+(4x4)+5=

2. Solve for parenthesis: 4+16+5=

3. Solve: 4+16+5=25

-Hope this helped & Happy New Years

Answer:

Step-by-step explanation:

1/4 + 4/9 + n= total amount of time spent on all of the instruments.

1/4 + 4/9=

9/36 + 16/36= 25/36 (time on piano and trombone)

36/36- 25/36= 11/36- total time spent on violin

Secant line is the name given to any line that intersects a circle at two or more points. This line is called "secant" because it comes from the Latin word secare, which means to cut.

In mathematics, the secant line is used as a tool for finding the length of an arc, area of a sector, and other geometric measurements. The secant line is also used in calculus to calculate derivatives and integrals of functions.

The secant line is formed by two points on a circle’s circumference, and its slope is determined by those points. Its slope is calculated by the difference between the two points divided by the product of the radius of the circle and the angle made by the two points.

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