Solving Systems of Equations by Graphing - Scavenger Hunt

Answer:

yes

Step-by-step explanation:

yes

In order to factor our polynomial must be written in a way that we will factor out the greatest common factor

A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division.

A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 2x+5 is a polynomial with an exponent of one.

To be a polynomial term, an expression must contain no square roots of variables, no fractional or negative powers on variables, and no variables in the denominators of any fractions.

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Answer:

The angle of that is 90°

The dimensions of the rectangle that minimize the perimeter are 18 feet by 18 feet.

To find the dimensions of a rectangle with an area of 324 square feet and the smallest possible perimeter, we need to minimize the perimeter while maintaining the given area. The area of a rectangle is given by the formula:

Area = length × width

Now, let's find the dimensions that result in the smallest perimeter.


The dimensions of the rectangle that minimize the perimeter are 18 feet by 18 feet.

1. We know the area is 324 square feet, so we can write the equation:

  324 = length × width

2. To minimize the perimeter, the rectangle should be as close to a square as possible because a square has the smallest possible perimeter for a given area.

3. Find the factors of 324 to determine which pair of numbers is closest to being equal. The factors are:

  1×324, 2×162, 3×108, 4×81, 6×54, 9×36, 12×27, and 18×18

4. Among these factor pairs, 18×18 is the closest to being equal, so the dimensions are 18 feet by 18 feet.

5. The smallest possible perimeter is achieved when the rectangle is a square with side lengths of 18 feet. The perimeter can be calculated as:

  Perimeter = 2 × (length + width) = 2 × (18 + 18) = 2 × 36 = 72 feet

So, the dimensions of the rectangle with an area of 324 square feet and the smallest possible perimeter are 18 feet by 18 feet, and the perimeter is 72 feet.

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Answer:

well, the value of x is unknown

Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

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Answer:

B

Step-by-step explanation:

The lower the degree is the colder it is

Answer:

B

Step-by-step explanation:

Fahrenheit temperature depends on which is the highest to be the hottest. Since the negatives are lower than 0 the correct order would be

-12

-10

-8

-3

0

Answer:

1/2 inch per hour

My other answer got deleted lol

Hope This Helps!

At the rate 1/2 inches per hour does the candle burn.

Given that, \(5\frac{1}{2}\) inch candle burns down in 11 hours.

A rate is a special ratio in which the two terms are in different units.

In general, we can write down the formula for rate as the ratio between two quantities with various units. Putting this in the ratio format, we get,

Rate = Quantity 1 / Quantity 2

Here, \(5\frac{1}{2}=11/2\) inches

The rate candle burns down = Length of the candle ÷ Number of hours

Now, the rate candle burns down = 11/2 ÷ 11

= 11/2 × 1/11

= 1/2 inches per hour

Therefore, at the rate 1/2 inches per hour does the candle burn.

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The length of tape needed to wrap the duct is 56.52 inches.

A length refers to extent of something from end to end or the greater of two or the greatest of three dimensions of an object.

To get length of tape needed, we have to get circumference of the circle.

The formula for circumference is C = πd where π is 3.14 and d is the diameter.

C = π * d

C = 3.14 x 18

C = 56.52 inches.

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Answer:

6.JMK=90-28

=62

STR=180-118

=62

(PROVEN)

Answer:

Alternate interior angles are on opposite sides of the transversal, and between the parallel lines

Step-by-step explanation:

Answer:

70n+80

Step-by-step explanation:

Range of possible values for the third side of the triangle is 12.5 < x < 18.9.

Let's discuss it further below.

This is because for a triangle with sides a, b, and c, the sum of any two sides must be greater than the third side. This is known as the triangle inequality theorem. Therefore, to find the range of possible values for the third side of the triangle, we need to use the given inequalities:

x < 12.5 and x > 18.9.

The range of values that satisfies both inequalities is 12.5 < x < 18.9. This means that any value of x between 12.5 and 18.9 will satisfy the triangle inequality theorem and can be the length of the third side of the triangle.

Therefore, the best answer that describes the range of possible values for the third side of the triangle is 12.5 < x < 18.9.

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Answer:

You have to use the formula:

(y-y1)/(y2-y1) =(x-x1)/(x2-x1). So draw a graph and place the points A and B on the Graph, then put the numbers in the formula. A(-8=x1, 3= y1), B(-4=x2,6=y2). You will get the formula and consequently the slope.

To find the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2, we can use the following formulas:

New x-coordinate = -2 * old x-coordinate

New y-coordinate = -2 * old y-coordinate

Let's apply these formulas to each point in triangle ABC:

Point A: (-3, 4)

New x-coordinate of A = -2 * (-3) = 6

New y-coordinate of A = -2 * 4 = -8

New coordinates of A: (6, -8)

Point B: (1, 1)

New x-coordinate of B = -2 * 1 = -2

New y-coordinate of B = -2 * 1 = -2

New coordinates of B: (-2, -2)

Point C: (5, -2)

New x-coordinate of C = -2 * 5 = -10

New y-coordinate of C = -2 * (-2) = 4

New coordinates of C: (-10, 4)

Therefore, the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2 are:

A: (6, -8)

B: (-2, -2)

C: (-10, 4)

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 70, \sigma = 25\)

The probability of 45 minutes of less is the p-value of Z when X = 45, hence:

Z = (45 - 70)/25

Z = -1

Z = -1 has a p-value of 0.16 (rounding).

As for the probability of an exact time, such as 95 minutes, is of 0%, as the normal distribution is continuous.

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Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Given the following data set:

[13,13,13,15,15,16,16,17,17]​

Let's determine the median.

Step 1: Arrange the data points from smallest to largest.

The set is already arranged in ascending order.

[13,13,13,15,15,16,16,17,17]​

Step 2:

a.) If the number of data points is odd, the median is the middle data point in the list.

b.) If the number of data points is even, the median is the average of the two middle data points in the list.

There are 9 data in the set, it is odd. The middle data is the 5th data.

[13,13,13,15,15,16,16,17,17]​

The 5th data is 15.

Therefore, the median of the given set of data is 15.

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value of x is ~

Here's the solution teeny ~

Hope it helps ~

Answer:

x= -9

Step-by-step explanation:

Subtract 9 from both sides:

3x+9−9=−18−9

Simplify:

3x=−27

Divide both sides by 3

(3x/3) =(−27/3)

Simplify again to get the result!

x= -9

Answer:

the answer is C

Step-by-step explanation:

Answer:

you selected it

Step-by-step explanation:

Answer:

m = -1/4

Step-by-step explanation:

The correct slope would be -1/4.

Answer:

10

Step-by-step explanation:

1.turn 7 1/2 into a mixed number: 15/2.

2:Follow the rule keep, switch flip.

3.Before=15/2 divided by 3/4

4.Now= 15/2 x 4/3 = 60/6

5.Simplify 60/6 to 10.

Answer:

The answer is 10.

Using Manning's equation, we find that the slope of the bed of a rectangular channel with a width of 5m, water depth of 2m, and flow rate of 20 m³/s is approximately 0.239.

Manning's equation relates the flow rate, channel parameters, and roughness coefficient.

Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

Where:

Q = Flow rate (m³/s)

n = Manning's roughness coefficient

A = Cross-sectional area of the channel (m²)

R = Hydraulic radius (m)

S = Channel slope (dimensionless)

For a rectangular channel, the cross-sectional area (A) and hydraulic radius (R) is calculated using the width (b) and depth (y) of the channel:

A = b * y

R = A / (2 * (b + y))

Width (b) = 5 m

Depth (y) = 2 m

Flow rate (Q) = 20 m³/s

Manning's roughness coefficient (n) = 50

First, we calculate the cross-sectional area:

A = b * y

A = 5 m * 2 m

A = 10 m²

Next, we calculate the hydraulic radius:

R = A / (2 * (b + y))

R = 10 m² / (2 * (5 m + 2 m))

R = 10 m² / (2 * 7 m)

R = 10 m² / 14 m

R ≈ 0.714 m

Now, we rearrange Manning's equation to solve for the channel slope (S):

Q = (1/n) * A * R^(2/3) * S^(1/2)

Solving for S:

S = (Q / ((1/n) * A * R^(2/3)))^2

S = (Q / (n * A * R^(2/3)))^2

Substituting the given values:

S = (20 m³/s / (50 * 10 m² * (0.714 m)^(2/3)))^2

Calculating the slope:

S ≈ (20 / (50 * 10 * 0.818))^2

S ≈ (20 / 40.9)^2

S ≈ (0.489)^2

S ≈ 0.239

Therefore, the slope of the bed of the rectangular channel is approximately 0.239 (dimensionless).

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Answer:

he included four and does not belong in the quotient

Step-by-step explanation:

i took the test ;)

The researcher randomly selected and interviewed fifty male and fifty female teachers can be categorized as:

iii. random - The selection of teachers is done randomly, without any specific criteria or pattern.

To solve the absolute-value inequality |8 - x| ≥ 5, we can consider two cases:

Case 1: (8 - x) ≥ 5

To solve this inequality, we have:

8 - x ≥ 5

-x ≥ 5 - 8

-x ≥ -3 (multiplying by -1 and reversing the inequality)

x ≤ 3 (dividing by -1 and reversing the inequality)

Case 2: -(8 - x) ≥ 5

To solve this inequality, we have:

-8 + x ≥ 5

x ≥ 5 + 8

x ≥ 13

Combining the solutions from both cases, we have:

x ≤ 3 or x ≥ 13

So, the solution to the absolute-value inequality |8 - x| ≥ 5 is x ≤ 3 or x ≥ 13.

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