Is the discriminant of ggg positive, zero, or negative?.

The division equation is x * 3/8 = 5/4 and there are (10/3) times 3/8s there in 5/4.

Let's assume that x times 3/8 are in 5/4.

So, calculating a division equation for the value of x.

x * 3/8 = 5/4

=> x = 5/4 * 8/3

=> x = 40/12

Dividing the numerator and denominator by 4.

We get, the value of x equal to

=> x = 10/3

Division equation: A division equation is a mathematical expression containing a division operator. Division equations are useful not only in math class but also in everyday life.

For example, if we want to share a bundle of papers equally with our friends, we can use this solution to find the given question. 100 papers and we have 10 friends. To find out how many papers each person gets, divide 100 by 10. The solution is 10. This means that each friend receives 10 papers.

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The dimensions of the box that minimize the amount of material used are a base side length of 25 cm and a height of 25 cm.

Let x be the side length of the square base and h be the height of the box. Since the box has a square base, the volume of the box is V = x²h. We want to minimize the amount of material used, which is given by the surface area of the box, A = x² + 4xh.

Using the volume constraint, we can solve for h in terms of x: h = V / x² = 62,500 / x². Substituting this into the expression for A, we get A = x² + 4x(62,500 / x²) = x² + 250,000 / x.

To minimize A, we take its derivative with respect to x and set it equal to zero: dA/dx = 2x - 250,000 / x² = 0. Solving for x, we get x = 25 cm. Substituting this back into the expression for h, we get h = 25 cm.

Therefore, base side length is 25 cm and height is 25 cm.

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Answer:

Distributive

Step-by-step explanation:

The equation just distributes the 0.5 to the numbers in the parenthesis.

To find the expressions for (st)(x) and (s-t)(x), we need to multiply and subtract the functions s(x) and t(x) accordingly.

Given:

s(x) = x - 3

t(x) = 2x + 1

(a) Expression for (st)(x):

(st)(x) = s(x) * t(x)

        = (x - 3) * (2x + 1)

        = 2\(x^2\) + x - 6x - 3

        = 2\(x^2\) - 5x - 3

Therefore, the expression for (st)(x) is 2\(x^2\) - 5x - 3.

(b) Expression for (s-t)(x):

(s-t)(x) = s(x) - t(x)

        = (x - 3) - (2x + 1)

        = x - 3 - 2x - 1

        = -x - 4

Therefore, the expression for (s-t)(x) is -x - 4.

(c) Evaluating (s+t)(2):

To evaluate (s+t)(2), we substitute x = 2 into the expression for s(x) + t(x):

(s+t)(2) = s(2) + t(2)

        = (2 - 3) + (2*2 + 1)

        = -1 + 5

        = 4

Therefore, (s+t)(2) = 4.

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Answer:

17 + 16 + 90 =123

180-123=  

x= 57

Step-by-step explanation:

right triangle=the square which =90 and you add what in the triangle and then subtract 180 from the answer because all triangles = to 180.

HOPE THAT HELPS

if you are in high school i don't think this is right but i hope it is i am in 7th grade and this is how we do triangles

Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

                                                FOR (1, 2)

Given

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

                                                    FOR (2, 4)

Given

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)                                        

It is true that when you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.

In mathematics, an algorithm is a process, a description of a series of steps that may be used to solve a problem; however, they are now far more prevalent than that.

Although many areas of research (and daily life) employ algorithms, long division's step-by-step process is probably the most prevalent example.

Thus, It is true that when you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.

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Answer:

B.

Step-by-step explanation:

To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

Answer:

B. 20x + 4

Step-by-step explanation:

Perimeter of a rectangle = 2 × (Length + Width)

                                         = 2 × [(4x + 2) + 6x]

Expand the brackets and bring like terms together:
                                         = 2 × [4x + 2 + 6x]

                                         = 2 × [4x + 6x + 2]
                                         = 2 × [10x + 2]

Expand the brackets by applying the Distributive Law:

                                        = 20x + 4

                                        Option B.

Answer:

1.2 miles per hour

Step-by-step explanation:

\( \frac{2}{5} \div \frac{1}{3} = \frac{2}{5} \times 3 = \frac{6}{5} = 1.2\)

Answer:12

Step-by-step explanation:

Slope intercept form: y = mx + b

m = slope

b = y-intercept

We are given the slope of 5/3.

We can solve the y-intercept by using the given slope and coordinate:

y = 5/3x + b

5 = 5/3(6) + b

5 = 10 + b

5 - 10 = 10 - 10 + b

-5 = b

Put this into the final equation:

y = 5/3x - 5

Best of Luck!

Answer:

40.3°

Step-by-step explanation:

sin x/ (5.3) = sin 90/ (8.2)

sin x = (5.3 sin 90) / 8.2

= 5.3/8.2

x = arcsin (5.3/8.2)

= 40.3° to 1 dp

The measure of angle x using Trigonometry is 40.263215° or 40.3.

Trigonometry is a branch of mathematics that deals with the study of relationships involving the angles and sides of triangles. It is especially useful in understanding the properties and behavior of right-angled triangles.

Sine ratio is defined as the ratio of the length of the side opposite an angle to the length of the triangle's hypotenuse.

From the figure,

Perpendicular = 5.3 m

Hypotenuse = 8.2 m

Using Trigonometry

sin x = P / H

sin x = 5.3/ 8.2

sin x = 0.6463

Using Inverse Trigonometry

x = \(sin^{-1}\)(0.6463)

x= 40.263215°

Thus, the measure of angle x is 40.3.

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No, one does not have to examine all the points in the feasible region as the optimal solution exists at one of the corner points.

It follows from the task content that the point where the optimal solution of a linear optimization problem exists is to be determined.

It is note-worthy to know that a feasible region’s optimal solution must be a corner point of the feasible region and at this point is where the objective function is maximised or minimised the value of the objective function.

Therefore, although all solutions in the feasible regions are valid; However, in a bid to determine the optimal solution, the corner points of the constraints-objective function plot are considered.

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The distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

Speed can be thought of as the rate at which an object covers distance.

A fast-moving object has a high speed and covers a relatively large distance in a given amount of time, while a slow

moving object covers a relatively small amount of distance in the same amount of time.

To calculate the distance traveled over 9 hours at a speed of 840 km/h, follow these steps:

1. Identify the time and speed given in the student question: 9 hours and 840 km/h.

2. Use the formula for distance:

distance = speed × time.

3. Plug in the values:

distance = 840 km/h × 9 hours.

4. Calculate the distance:

distance = 7,560 km.

So, the distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

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The diagonals of the qudrilateral will not be perpendicular to each other.

A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. If two segments are perpendicular, the multiplication of their slopes is -1.

The slope of a coordinate pair is given by the change in y divided by the change in x, that is:

For the diagonal AD the slope will be:-

Slope = ( -5 + 3 ) / ( -2 - 4) = ( 1 / 3 )

For the diagonal BC, the slope will be:-

Slope= ( 1 - 3) / ( 4 - 2 ) = ( -2 / 2) = -1

The multiplication of the two slopes will be,

M  =  ( 1 / 3 ) x -1 = ( - 1 / 3 )

Therefore,  the diagonals of the quadrilateral will not be perpendicular to each other. Because the product of the slope is not equal to -1.

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Answer:

The product of the slopes of the diagonals is -1.

Step-by-step explanation:

I had the question and got it right.

Answer:

x squared over 4 plus and squared over 8 equals 1, x^2/4 + y^2/8 = 1

Step-by-step explanation:

We have that the general ellipse equation is as follows:

x^2/a^2 + y^2/b^2 = 1

Furthermore, the foci is (0, c) and b> a we have to:

c ^ 2 = b ^ 2 - a ^ 2

However,

guideline x = + - b / e and foci (0, + - ab)

where is e is the eccentricity, therefore:

b / e = 4, then e = b / 4

and we also have b * e = 2, we replace:

b * (b / 4) = 2

b ^ 2 = 8

replacing:

2 ^ 2 = 8 - a ^ 2

a ^ 2 = 8 - 2 ^ 2

a ^ 2 = 8 - 4

a ^ 2 = 4

Therefore if we replace in the general equation it would be

x^2/4 + y^2/8 = 1

that is, x squared over 4 plus and squared over 8 equals 1

Answer:

x^2/4 + y^2/8 = 1

Step-by-step explanation:

Answer:

The slope of the model is 0.238

Step-by-step explanation:

The given equation is in slope-intercept form which reads

y = mx + b

m is the slope and b is the constant.

So...

y = (0.238)x + 4.642

y = (slope)x + constant

0.238 is the slope of this model

Answer:

0.238 is the slope and 4.642 is the y-intercept.

given equation: y = 0.238x + 4.642

Formula of slope intercept formula: y = mx + b

                                                             where m is slope and b is y intercept

→ comparing we can see that slope is 0.238 and y-intercept is 4.642.

There are 10 possible 3-digit numbers which can be generated using numbers 1, 2, 3, 4, and 5 without repeating any digits.

There are 5 choices for the first digit, 4 choices for the second digit, and 3 choices for the third digit. This can be expressed using the combination formula:

nCr = n! / r!(n - r)!

So, the number of possible 3-digit numbers with no digit repeated can be calculated as 5C3 = 5!/(3!*2!) = 10.

Therefore, there are 10 possible 3-digit numbers which can be generated using numbers 1, 2, 3, 4, and 5 without repeating any digits. These numbers are 123, 124, 125, 134, 135, 145, 234, 235, 245, and 345.

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(2x–5)° + 45° = 180° (sum of consecutive interior angles

=> 2x + 40 = 180

=> 2x = 180– 40

=> x = 140 /2

=> x = 70

The required value of the x is 70 in the measures of the angle.

Given that Line m and n are parallel lines and intersect by a transversal line l.

When a transversal line intersects two other lines, it creates eight angles, four of which are called exterior angles and four are called interior angles.

From the sum of consecutive interior angles we have;

(2x–5)° + 45° = 180°

2x + 40 = 180

2x = 180– 40

x = 140 /2

x = 70

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

m^8 n^16

Step-by-step explanation:

Simplify the following:

(1/(m^2 n^4))^(-4)

Multiply exponents. (1/(m^2 n^4))^(-4) = (m^2 n^4)^4:

(m^2 n^4)^4

Multiply each exponent in m^2 n^4 by 4:

m^(4×2) n^(4×4)

4×4 = 16:

m^(4×2) n^16

4×2 = 8:

Answer: m^8 n^16

Answer: .20x+1.00

Step-by-step explanation:

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal.

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make.

To determine which box holds more cereal, we need to calculate the volume of each box.

The volume of a rectangular box is given by the formula:

Volume = Length × Width × Height

Let's calculate the volumes for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Volume = 8 cm × 3 cm × 11 cm = 264 cm³

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Volume = 10 cm × 10 cm × 3 cm = 300 cm³

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal because it has a larger volume of 300 cm³ compared to the original box with a volume of 264 cm³.

To determine which box requires more material to make, we need to calculate the surface area of each box.

The surface area of a rectangular box is given by the formula:

Surface Area = 2 × (Length × Width + Length × Height + Width × Height)

Let's calculate the surface areas for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Surface Area = 2 × (8 cm × 3 cm + 8 cm × 11 cm + 3 cm × 11 cm) = 374 cm²

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Surface Area = 2 × (10 cm × 10 cm + 10 cm × 3 cm + 10 cm × 3 cm) = 380 cm²

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make because it has a larger surface area of 380 cm² compared to the original box with a surface area of 374 cm².

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i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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Answer:

360

Step-by-step explanation:

it has four right angles 90×4 =360

The number of students that leave by bus or car is given as follows:

5801 students.

The union and intersection sets of multiple sets are defined as follows:

The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.

Hence the number of students that leave by bus or car is given as follows:

3232 + 2549 = 5801 students.

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