which of the following can be a form of solution of 3x+0y+7=0 in two variables? i)-7/3,m ii) m,-7/3 iii) -7/3,0​

The function that represent reflection of f(x) is given by g(x) = Negative two-fifths(10)x

Similar to reflections regarding the y-axis, the x-axis reflections are fundamentally the same. The only distinction is that the points are mirrored from above the x-axis to below the x-axis, and vice versa, rather than along the y-axis.

Make sure you have studied how to perform basic vertical and horizontal translations before we move on to reflections across the y-axis.

The reflection across the co-ordinate axis which is x-axis is as follows;

Reflection about the x-axis

Pre-image point before reflection = (x, y)

Point of image after reflection = ((x, -y)

Therefore, the x coordinate remains the same while the y coordinate changes sign

For which given that f(x) = y = 2/5(10)x and g(x) = Reflection of f(x) across the x-axis, we have

Reflection about the x-axis

Pre-image point before reflection = (x, f(x))

cordinate of image after the reflection = (x, g(x))

Hence g(x) = -f(x) = -2/5(10)x.

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Complete question:

Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis? g(x) = Negative two-fifths(10)x g(x) = Negative two-fifths (one-tenth) Superscript x g(x) = Two-fifths (one-tenth) Superscript negative x g(x) = Two-fifths(10)-x

The angle that is equal to 90° is ∠ABC.

What is an angle?

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. Dihedral angles are these.

Here, we have

Given the following diagram and we have to determine that in circle O, which angle is equal to 90°.

We concluded that

If one side of a triangle inscribed in a circle is the diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle.

Hence, the angle that is equal to 90° is ∠ABC.

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The value of a+b+c will be 16 if  [tex]\frac{5}{2-\sqrt{3}}[/tex] rationalize as  [tex]\displaystyle{\frac{a + b\sqrt{3}}{c}}[/tex].

Given,

y = [tex]\frac{5}{2-\sqrt{3}}[/tex]

To solve the given expression we multiply the numerator and denominator by the conjugate of the denominator

[tex]= \frac{5}{2-\sqrt{3}} \frac{2+\sqrt{3} }{2+\sqrt{3}}[/tex]

[tex]= \frac{10+5\sqrt{3} }{2^2 - \sqrt{3}^2 }[/tex]

[tex]= \frac{10+5\sqrt{3} }{4-3 }[/tex]

[tex]= \frac{10+5\sqrt{3} }{1 }[/tex] = [tex]\displaystyle{\frac{a + b\sqrt{3}}{c}}[/tex]

Now, by comparing the result we get

a = 10, b = 5, c = 1

hence, a+b+c = 10+5+1 = 16

Therefore, the value of a+b+c will be 16.

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To find the number that makes the ratio 8:9 equivalent, we need to first understand the concept of equivalent ratios.Therefore, 9 is the number that makes the ratio 8:9 equivalent.

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Answer:

40 paintings and 60 bracelets

Step-by-step explanation:

40 x 10$ = 400

60 x 4$ = 240

400 + 240 = 640

The only option that satisfies both constraints is Option 4: 40 paintings and 60 bracelets, which generates a total revenue of $640.

Two or more expressions with an Equal sign is called as Equation.

Let's calculate the total revenue for each option and see which one satisfies the given constraints.

Option 1: 20 paintings and 60 bracelets

Total revenue = (20 x $10) + (60 x $4) = $200 + $240 = $440

Option 2: 25 paintings and 80 bracelets

Total revenue = (25 x $10) + (80 x $4) = $250 + $320 = $570

Option 3: 30 paintings and 70 bracelets

Total revenue = (30 x $10) + (70 x $4) = $300 + $280 = $580

Option 4: 40 paintings and 60 bracelets

Total revenue = (40 x $10) + (60 x $4) = $400 + $240 = $640

Therefore, the only option that satisfies both constraints is Option 4: 40 paintings and 60 bracelets, which generates a total revenue of $640.

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Answer:

5 2/3

Step-by-step explanation:

17 / 3 = 5 and 2/3

The distance between two opposite corners of the prism is 13.

The distance between two opposite corners of a rectangular prism can be found using the Pythagorean theorem, which states that the square of the distance between two points is equal to the sum of the squares of the distances along the two axes that are perpendicular to each other.

In this case, the two opposite corners of the prism are the top-front corner and the bottom-back corner. The distance between these two corners is the hypotenuse of a right triangle with legs of length 3 (the length of the prism), 4 (the width of the prism), and 12 (the height of the prism).

So, using the Pythagorean theorem (a² + b² = c²), the distance between two opposite corners of the top of the rectangular prism is (3² + 4² = 5²) 5.

To determine the distance between two opposite corners of the prism, get the diagonal distance of the cross section made by the two opposite corners of the top of the rectangular prism.

d² = 5² + 12²

d = 13

Hence, the distance between two opposite corners of the prism is 13.

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Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.

0.3 is less than 30.

Step-by-step explanation:

Answer: D. (3, 2).

Step-by-step explanation: The solution of the system is in the intersections of both of the inequalities, and (3, 2) is in the area of intersection.

Answer:

I have no clue but you should get the free trial so a expert can tutor you and you get all your questions right

Answer:

$ 9.625

Step-by-step explanation:

75% = 0.75

5.50 x 0.75 = $4.125

5.50 + 4.125 = $ 9.625

The solution of the given quadratic equation [tex]x^{2} +5x+6[/tex] = 0 is x = -2 and -3

Now, According to the question:

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The given quadratic equation is:

[tex]x^{2} +5x+6[/tex] = 0

To solve the equation:

Comparing the above equation with the standard form of quadratic equation:

[tex]ax^{2} +bx+c=0[/tex]

a =1 , b = 5 , c = 6

The roots of quadratic equation are given as follows:

x = (-b ± √ (b^2 - 4ac) )/2a.

x = (-5 ±√([tex]5^2[/tex]- 4(1)(6)) / 2 ×1

x = -5 ± 1/2

x = -2 , -3

Hence, The solution of the given quadratic equation [tex]x^{2} +5x+6[/tex] = 0 is x = -2 and -3

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For a right triangle, use the Pythagorean Theorem.

The length of a triangle’s third side must always be between (but not equal to) the sum and difference of its other two sides. Take, for example, the numbers 2, 6, and 7. As a result, the length of the third side must be larger than 4 but less than 8.

Use the Pythagorean Theorem to get the area of a right triangle. Use the area formula for an isosceles triangle to calculate the area of an isosceles triangle. Use the law of cosines or the law of sines if you know some of the angles and other side lengths.

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The given lengths (A) 18,10,6; (B) 6,2,8; (C) 8,10,15; and (D) 8,12,20 can be possible lengths of a triangle.

The length of the sides of a triangle are known as its dimensions. The sum of any two sides must be greater than the third side. That is, the sum of any two sides must be greater than the remaining side. This is known as the Triangle Inequality Theorem.

Let us consider the four possible combinations of lengths given in the question:

A) 18,10,6

The sum of any two sides must be greater than the remaining side.

18 + 10 = 28 > 6

10 + 6 = 16 > 18

6 + 18 = 24 > 10

Hence, this is a valid triangle.

B) 6,2,8

The sum of any two sides must be greater than the remaining side.

6 + 2 = 8 > 8

2 + 8 = 10 > 6

8 + 6 = 14 > 2

Hence, this is a valid triangle.

C) 8,10,15

The sum of any two sides must be greater than the remaining side.

8 + 10 = 18 > 15

10 + 15 = 25 > 8

15 + 8 = 23 > 10

Hence, this is a valid triangle.

D) 8,12,20

The sum of any two sides must be greater than the remaining side.

8 + 12 = 20 > 20

12 + 20 = 32 > 8

20 + 8 = 28 > 12

Hence, this is a valid triangle.

Therefore, all of the given lengths (A) 18,10,6; (B) 6,2,8; (C) 8,10,15; and (D) 8,12,20 can be possible lengths of a triangle.

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Answer:

Step-by-step explanation:

The equation of a line that passes through the point (2, 3) and (4, 7) is y = 2x - 1.

In the given question, we have to find the equation of a line that passes through the point (2, 3) and (4, 7).

The general equation of line that passes through point is:

y - y(1) = m(x - x(1))

To find the equation of line we have to first find the slope of line by using the formula:

m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]

The given points:

(x(1), y(1)) = (2, 3), (x(2), y(2)) = (4, 7)

m = [tex]\frac{7-3}{4-2}[/tex]

m = [tex]\frac{4}{2}[/tex]

m = 2

Now finding the line of equation.

We can use any of the point of the given.

m = 2, (x(1), y(1)) = (2, 3)

y - 3 = 2(x - 2)

Solving the equation using distributive property

y - 3 = 2x - 4

Add 3 on both side, we get

y = 2x - 1

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The complete question is:

What is the equation of a line that passes through the point (2, 3) and (4, 7)?

Answer:

Step-by-step explanation:

1. 60 ft = 7.3 yd (60 ft * 0.3333 = 19.98 ft)

2. 100 meters = 10,000 cm (100 m * 100 = 10,000 cm)

3. 5 hr = 300 min (5 hr * 60 = 300 min)

4. 12 meters = 39.37 ft (12 m * 3.281 = 39.37 ft)

5. 16 in = 40.64 cm (16 in * 2.54 = 40.64 cm)

6. 5 liters = 1.32 qt (5 L * 0.2642 = 1.321 qt)

7. 2076 cm = 2.29 yd (2076 cm * 0.0109 = 22.7 yd)

8. 15 pounds = 6,803.86 grams (15 lb * 453.59 = 6,803.86 g)

Answer:

Step-by-step explanation:

We can begin to solve this problem using mathematics. Let's name the total sales for the month "S".

We know that the salesman receives a 10% commission on sales over $300,000 and a 12% commission on sales above 500,000. As a result, we may construct the following equation:

Commission = 0.10 (S - 300,000) + 0.12 (S - 500,000) = 0.10 (S - 30,000) + 0.12 (S - 60,000) = 0.22 (S - 90,000).

We also know that the salesman receives a total commission of $13,900. So we can plug that number into the equation:

13,900 = 0.22S - 90,000

To obtain the value of S, multiply both sides of the equation by 90,000:

13,900 + 90,000 = 0.22S

103,900 = 0.22S

Finally, we can obtain the value of S by dividing both sides of the equation by 0.22: S = 472,273.63

As a result, the total sales for the month were Sh 472,273.63.

The ratio of C:D:F is 5:3:18.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

The ratio of C:D is 5:3,

the ratio of F:D is 6:1.

i.e. F:D= 18:3

now,

C:D:F= 5:3:18.

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The solution to the complex number (-5 - i)/(-6 - 9i) is (1 - i)/3

An equation shows the relationship between numbers and variables in an expression.

Complex numbers are in the form a + bi, where both a and b are real numbers and i = √(-1)

Given that:

[tex]\frac{-5-i}{-6-9i} \\\\To\ solve\ multiply\ numerator\ and\ denominator\ by\ conjugate:\\\\=\frac{-5-i}{-6-9i} *\frac{-6+9i}{-6+9i}\\ \\=\frac{30-45i+6i+9}{36+81}\\ \\=\frac{39-39i}{117} \\\\=\frac{1-i}{3}[/tex]

The solution is (1 - i)/3

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Option A. Angle A = 46.8 degrees, side A C = 1.9 meters, Side A B = 3.7 meters satisfies the conditions of the problem: angle C is 90 degrees, angle B is 43.2 degrees, and side B C is 3.2 meters.

A right triangle is a type of triangle in which one of the angles is a right angle (90 degrees). The side opposite the right angle is called the hypotenuse and is typically the longest side of the triangle.

The other two sides are called the legs and are typically shorter than the hypotenuse. The Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs, applies to all right triangles

Therefore, the remaining options (b, c, and d) do not satisfy the conditions of the problem and therefore are not correct.

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well, the charge for a year is just 5.5% of the amount so 5.5% of 125000

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5.5\% of 125000}}{\left( \cfrac{5.5}{100} \right)125000}\implies \text{\LARGE 6875}[/tex]

Answer: x=86, y=81

Step-by-step explanation: opposite angles and are same on parallelograms and x+9=95

Answer: is, 4.  All of the above are equivalent statements.

The x-intercept is where the graph crosses the x-axis.

here, we have,

The x-intercept is the point at which a line crosses the x-axis.

now,

The roots of a function are the x-values of the x-intercepts.

Therefore, if (-3, 0) is an x-intercept, then -3 is a root.

The zeros of the function are the x-values when y = 0.

(-3, 0) means x = -3 when y = 0.

Therefore, -3 is a zero.

According to the factor theorem, if f(x) is a polynomial, and f(a) = 0, then (x – a)  is a factor of f(x).

Given (-3, 0), then f(-3) = 0.  Therefore, (x - (-3)) = (x + 3) is a factor.

Therefore, all given statements are equivalent statements.

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Answer:

C 40m + 0.73

Step-by-step explanation:

since it is 40 per month it would be 40m because the m stands for how many months the chocolate factory charges for delivery and the extra .73 for every chocolate bar is an add on which would make this 40m + 0.73

The solution to -4.5 x (-2) is 9.

What is the arithmetic calculation?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

The reason for this is that when two negative numbers are multiplied together, the result is positive.

This is because the negative sign on a number is similar to a "minus" sign, indicating that the number is less than zero.

When you have two "minus" signs together (in this case, one on -4.5 and one on -2),

they cancel each other out, leaving the positive product of 4.5 and 2, which is 9.

-4.5 is a negative decimal number, and -2 is also a negative integer number. When multiplied, it results in a positive number, which is 9.

Hence, the solution to -4.5 x (-2) is 9.

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The equation of line that passes through the point (-3, 8) and has a slope of 4 is y = 4x + 20.

In the given question, we have to find the equation of the line that passes through the point (-3, 8) and has a slope of 4.

From the given question, m = 4 and point (x(1), y(1)) = (-3, 8).

To find the equation of line we put the values in the equation:

y - y(1) = m(x - x(1))

Now putting the value

y - 8 = 4(x - (-3))

Now simplifying the bracket first

y - 8 = 4(x + 3)

Now solving the expression using the distributive property

y - 8 = 4x + 12

Add 8 on both side, we get

y = 4x + 20

Hence, the equation of the line that passes through the point (-3, 8) and has a slope of 4 is y = 4x + 20.

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The complete question is:

What is the equation of the line that passes through the point (-3, 8) and has a slope of 4?

Answer:

42

Step-by-step explanation:

18/3 = 6

6*7 =42

3. 2 is the mean of the sampling distribution of the sample mean for samples of size 16.

Hence,

3. 2 is the mean of the sampling distribution of the sample mean for samples of size 16.

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Answer:

x<-3

Step-by-step explanation:

The unknown number we can write as x.

2(x-10) > -26

2x - 20 > - 26

2x > -6

x< -3 Divide by negative so reverse the sign