Can someone help me with this 8 exercises ?, thanks a lot!

Answer

9(r+6)

Step-by-step explanation:

9r + 54

Factor out 9.

9(x+6)

The product of the expression is 8x²-10x

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given that, an expression 8x(x-5/4x) we are asked to find its product,

8x(x-5/4x)

= 8x²-10x

Hence, the product of the expression is 8x²-10x

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We can start by using algebra to represent the information given in the problem. Let T be the temperature at midnight.

What is the short definition of temperature?

Temperature is a physical property of matter that measures the degree of hotness or coldness of an object or substance. It is a measure of the average thermal energy of the particles in a substance, and it can be measured in various units such as Celsius, Fahrenheit, and Kelvin.

According to the problem, the temperature at the current time is -7 degrees. We know that the temperature tripled since midnight, so we can write an expression for the current temperature as:

T * 3 = -7

We know that the temperature also rose by 5 degrees since midnight, so we can add 5 to the above expression:

T * 3 + 5 = -7

Now to find out the temperature at midnight, we need to solve for T, which is the temperature at midnight.

We can solve for T by isolating it on one side of the equation. To do this, we can start by subtracting 5 from both sides:

T * 3 = -12

Next, we divide both sides by 3:

T = -4

So the temperature at midnight was -4 degrees. T = -4

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The value of x = -3 in the given quadratic equation.

In mathematics, a quadratic equation is defined as an equation of degree 2, which means that the highest exponent of this function is 2. A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are numbers and a cannot be 0.

Quadratic equations are unique in that they can have up to two real solutions. Solutions are found where the quadratic equals 0. Real solutions are those that are not fictitious and have real numbers.

8 to the power of X over 2 divided by 4 to the power of X over 3 = 2 to the power of -5 over 2.

In equation it will be written as

[tex]$ 8^{x/2} \div 4^{x/3} = 2^{-5/2}[/tex]

[tex]$ (2^3)^{x/2} \div (2^2)^{x/3} = 2^{-5/2}[/tex]

[tex]$ (2)^{3x/2} \div (2)^{2x/3} = 2^{-5/2}[/tex]

[tex]$ (2)^{\frac{ 3x}{2} -\frac{ 2x}{3} } = 2^{-5/2}[/tex]

[tex]$ (2)^{\frac{ 5x}{6} } = 2^{-5/2}[/tex]

By solving this

x = -3

Thus, the value of x = -3 in the given quadratic equation.

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The solutions to sin(θ) = -√3/2 in the interval 0 ≤ θ ≤ 2π are approximately θ = 5π/3 and θ = 4π/3.

What is an interval?

An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers. This range includes all the real numbers between those two numbers.

The equation sin(θ) = -√3/2 has two solutions in the interval 0 ≤ θ ≤ 2π.

Since the sine function has a range [-1, 1], the value of -√3/2 lies in the range of the sine function, so there are solutions in the specified interval.

Using the unit circle, we can find the values of θ that satisfy the equation. In the unit circle, the sine of an angle is equal to the y-coordinate of the point on the circle that corresponds to that angle.

The point (-√3/2, -1/2) lies on the unit circle and has an angle θ that satisfies the equation.

The other solution can be found by adding π to θ, since the sine function has a period 2π.

Hence, the solutions to sin(θ) = -√3/2 in the interval 0 ≤ θ ≤ 2π are approximately θ = 5π/3 and θ = 4π/3.

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Addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root qualities are the main nine properties of equality.

The nine basic characteristics of equality are addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root. Real number-based algebraic problems can be resolved with the aid of the addition, subtraction, multiplication, and division properties of equality.

When you add the same amount to both sides of an equation that has two equal expressions, the equation will stay equal. Finding the value of the variable that makes an equation true is the process of solving an equation.

The Subtraction Property of Equality asserts that when an equal value is subtracted from or removed from two equal objects, a new equal quantity is created. A mathematical statement with two equivalent sides is denoted by an equal sign. The formula for the subtraction property is if a = b, then a - c = b - c.

According to the equality's multiplication property, an equation's two sides stay equal when multiplied by the same amount.

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Graph G has 7 vertices. Graph C is isomorphic to graph G.

What are the vertices of a graph?

The term "vertex" refers to a node of a graph, which is one of the points on which the graph is constructed and which can be connected by graph edges.

The vertices of graph G are A, B, C, D, E, F, G

The number of vertices of graph G is 7.

The number of edges that are connected to a vertex that the degree of the vertex.

Vertex        degree

A                      4

B                      2

C                      3

D                      2

E                      3  

F                      3  

G                      3

The vertices of graph A are T, U, V, W, X,Y,Z

The number of vertices in graph A is 7.

Vertex        degree

T                      3

U                      3

V                      1

W                      3

X                      3  

Y                      3  

Z                      2

The degree of the vertices of graph A is not the same as the degree of graph G.

The vertices of graph B are T, U, V, W, X,Y,Z

The number of vertices in graph B is 7.

Vertex        degree

T                      2

U                      4

V                      2

W                      3

X                      3  

Y                      3  

Z                      3

The degree of the vertices of graph B is not the same as the degree of graph G.

The vertices of graph C are T, U, V, W, X,Y,Z

The number of vertices in graph C is 7.

Vertex        degree

T                      4

U                      2

V                      3

W                      3

X                      3  

Y                      3  

Z                      2

The degree of the vertices of graph C is the same as the degree of graph G.

Thus graph C is an isomorphism of graph G.

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The domain of the given function f(x) = (x + 4)/x² + x - 12 is given by {x|x ≠ 3, 4}.

In Mathematics, a domain simply refers to the set of all real numbers for which a particular function is defined. In Mathematics, the horizontal extent of a graph represents all domain values (input values) and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By critically observing the graph of this function f(x) = (x + 4)/x² + x - 12 shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = (-∞, 4) U (-4, 3) U (3, ∞); {x|x ≠ 3, 4}.

Range = (-∞, -1/7) U (-1/7, 0) U (0, ∞); {y|y ≠ 0, -1/7}.

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Answer:

The pattern is +4

4.1, 4.5, 4.9, 5.3, 5.7, 6.1, 6.5, 6.9

Step-by-step explanation:

You're welcome.

Answer:

Step-by-step explanation:

gap in partten is 4 any doubt

The answer is 21/6720

99.4% chance that you are healthy if you receive a negative test. 67.9% chance that you are sick if you receive a positive test.

14% of population would test positive for the disease

Step 1. Give algebraic names to various events described:

Step-2: Model the given situation mathematically.

In other words, the conditional probability of the event that the diagnostic test gives a negative result (not A), given that the tested person does not have the disease (E2 = not E1) is given to be 90%

Thus P(not A/E2)=90%

Further, it is given that five percent of the population has the disease. In other words, the event that a person has the disease (E1) has the probability of 5% Thus P(E1)=5%

It is needed to find what percent of that population would test positive for the disease.

Thus, the probability that a person will have a positive result when tested, P(A) is to be determined.

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Ellie needs 5050 grams extra fertilizer and total cost of fertilizer = 22.81-pound sterling.

Multiplication is the product of two or more numerical terms. Division is the process of dividing any numbers into equal parts.

Cost of 750 grams fertilizer = 2.95-pound sterling,

the area of the lawn = 145 square meters.

Ellie uses 40 grams fertilizer for every square meter of lawn.

So, fertilizer needed for the 145 square meters of land = (145 × 40)

                                                                                        = 5800 grams

it stated earlier that 750-gram fertilizer was bought but Ellie needs 5800 grams fertilizer.

the extra amount of fertilizer that Ellie needs = (5800 - 750) = 5050 grams.

cost of 750 gram fertilizer = 2.95-pound sterling

cost of 5050-gram fertilizer = (2.95 × 5050) / 750 = 19.86-pound sterling

cost of extra fertilizer = 19.86-pound sterling.

Total cost of fertilizer = (2.95 + 19.86) pound sterling

                                   = 22.81-pound sterling

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By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Point M has the coordinates (-3, -1.5) which are written as decimals.

What is the midpoint of the line segment?

The midpoint of a line segment is the point that is exactly in the middle of the line segment. It is the point that divides the line segment into two equal parts.

To find the midpoint of a line segment, you can use the formula:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Where x1, y1 and x2, y2 are the coordinates of the two endpoints of the line segment.

In this case, the endpoints of the line segment are B(2, 1) and C(–8, –4).

So we can substitute the coordinates of B and C in the midpoint formula:

Midpoint = ( (2 + -8) / 2 , (1 + -4) / 2 )

Midpoint = ( -3 , -1.5)

The midpoint of the line segment is (-3, -1.5).

Hence, point M has the coordinates (-3, -1.5) which are written as decimals.

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The retailer's selling price per sweater should be $45.60 if she wants to make a profit of 20% of her cost price (markup) of $38.

The selling price is the marked-up cost.

The markup is the percentage added to the cost price to achieve a target profit percentage.

Cost price per unit = $38

Target profit = 20%

Selling price = $45.60 ($38 x 1.2)

Thus, for the retailer to make a profit of 20% of her cost, she must sell each sweater for $45.60.

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Answer: -9 1/4

Step-by-step explanation:

Therefore, the perimeter of a quadrilateral at the given vertices is 12.76 units.

A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.

A face is a flat surface, an edge is a straight line connecting two faces, and a vertex is the corner of the form. Faces, edges, and vertices of three-dimensional forms are all unique. In the course of our daily activities, we come into contact with numerous things of all sizes and forms.

The length of each side:

CD: C(2,4) and D(1,1) = sqrt((1-2)^2 + (1-4)^2) = sqrt(1 + 9) = sqrt(10)

DE: D(1,1) and E(5,0) = sqrt((5-1)^2 + (0-1)^2) = sqrt(16+1) = sqrt(17)

EF: E(5,0) and F(3,4) = sqrt((3-5)^2 + (4-0)^2) = sqrt(4+16) = sqrt(20)

FC: F(3,4) and C(2,4) = sqrt((2-3)^2 + (4-4)^2) = sqrt(1) = 1

Perimeter of the quadrilateral = sum of the lengths of all four sides:

Perimeter = sqrt(10) + sqrt(17) + sqrt(20) + 1

Calculating, perimeter = 3.162+4.123+4.472+1 = 12.7557 and rounding to the nearest hundredth, it is 12.76

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Answer:

45

Step-by-step explanation:

(4m)² - (3n-2m)

(4 * -2) = -8 * -8 = 64

(3 * 5 - 2 * -2) = 15 - -4 = 15 + 4 = 19

64 - 19 = 45

Answer:

result of the expression is 83.

Step-by-step explanation:
original expression: (4m)² - (3n-2m)

Having two sets of parallel sides, a parallelogram is a quadrilateral. Because squares must have two sets of parallel sides, they are all parallelograms.

An object with four sides is a quadrilateral. The quadrilateral with two pairs of parallel sides is known as a parallelogram. A parallelogram essentially appears as follows:

Contrary Sides

Starting with the opposite sides theorem, which asserts that a parallelogram's opposite sides are equal, let's go on.

Take the parallelogram ABCD as an example, where side AB is parallel to side CD and side AD is parallel to side BC.

In order to connect points A and C, let's now draw a line. The parallel lines AB and C are transposed by this line.

The triangles ABC and CDA were formed by line AC, as can be seen.

Interior angle 1 equals interior angle 2, and interior angle 3 equals angle 4 in these two triangles, proving the alternate interior angles theorem of parallel lines.

Asymmetrical Angles

In a parallelogram, the opposing angles are also equal. Let's move on to that. Take into account the parallelogram ABCD that is the same but has a transversal line. The different interior angles are equal in this instance, as can be seen.

Angle 1 equals Angle 2, and Angle 3 equals Angle 4. Angle 1 plus Angle 3 equals Angle 2 plus Angle 4, therefore the inverse is the sum of the opposite. It would also demonstrate that the other angles are equal if another transversal were drawn between points B and D. So:

The parallelogram's opposite angles are equal.

We can see that a parallelogram has equal opposite angles.

Next-to-Next Angles

The following angles are now up for discussion. The consecutive angles theorem states that a parallelogram's total consecutive angles are 180°.

A second time, think about the parallelogram ABCD, but this

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Answer:

x-Intercepts: (-4,0)(-2,0)

y-intercept: (0,8)

Vertex: (-3,-1)

AOS: [tex]x=-3[/tex]

Step-by-step explanation:

Answer:

Supervisor: "We want to increase the number of customers who are adding service plans to their purchases to 40% of all new customers.” Representative: “So, if I sign up 60 new customers, that means I have to get 24 to add service plans.”



24 customers would need to add service plans. 40% of 60 is 24.

The answer is: 85870

Answer: your answer is 16!

Step-by-step explanation:

Answer:

x=6x okay that should help

x = 27

y = 50

Step-by-step explanation:

ABC=FDE

We need x first.

AC=EF

108=2x-y

54=x -1 . . . . . divide by2

27=x

x=27

Now, we can find y.

∠B = ∠F

2X-Y=48

Y=48+2X=50

Y=50

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Answer:

leading coff=-7

degree=3

Step-by-step explanation:

On solving the provided question, we can say that the equation that can be formed are  4x+5y=38.50 and 3x+9y=47.25

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation that can be formed are

Sandwiches are $5.25 Bowls are $3.50

4x+5y=38.50

3x+9y=47.25

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The graph of y = -(2/3)x + 2 is shown, having a slope of -2/3 and y intercept of 2

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

The equation y = -(2/3)x + 2 have a negative slope of -2/3 and y intercept of 2

The graph of y = -(2/3)x + 2 is shown

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