Which inequality has a solution that is the set of all real numbers?
12 < 14
x < 12
12 > 14
x > 14

Answer:

Step-by-step explanation:

∠K = ∠c

∠K = 3x - 5

∠K + ∠M + ∠L = 180 {angle sum property of triangle}

3x -5  + 40 + 2x = 180

3x + 2x - 5 + 40 = 180

  5x + 35 = 180

         5x = 180 - 35

         5x = 145

           x = 145/5

x = 29

Answer:

[tex]x=55[/tex]

Step-by-step explanation:

To solve this question you need to know some properties of a parallelogram which is the shape given.

Firstly, remember that in a parallelogram opposite angles are equal.

Secondly, remember that the diagonals of a parallelogram bisect each other.

Lastly, remember that the sum of the interior angles of a quadrilateral or a parallelogram is 360°.

So, by using the first property we can see that because [tex]<[/tex]PQR=70° then [tex]<[/tex]PSR must be equal to 70° as well.

Now, we can use the last property to find [tex]<[/tex]SPQ then, use the second property to find [tex]x[/tex].

Let's name [tex]<[/tex]SPQ, [tex]y[/tex].

and That gives:

[tex]2y+140=360[/tex]

Subtract 140 from both sides:

[tex]2y=360-140[/tex]

[tex]2y=220[/tex]

[tex]y=\frac{220}{2}[/tex]

[tex]y=110[/tex]

So, [tex]<[/tex]SPQ=110 and

Now using the second property we can find that:

[tex]<[/tex]SPQ=[tex]2x[/tex]

And [tex]2x=110[/tex]

[tex]x=\frac{110}{2}[/tex]

[tex]x=55[/tex]

Hope this helped.

Step-by-step explanation:

y=120+55x

here,X = -24/11

Y=120

don't have time or else I would have shown the details

The independent variable in this situation is x and it represents the number of hours taken for installation

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

Given,

Mr. Chen hires an electrician to install the light fixtures for an addition to his house.

The function y=120+55x can be used to model the total cost of the job, in dollars

The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation.

initial fee=120

Here x is the independent variable which represents the number of hours taken for installation

Hence, the independent variable in this situation is x and it represents the number of hours taken for installation

To learn more on Equation:

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Answer:

35

Step-by-step explanation:

Answer:

2x = 70

Step-by-step explanation:

4x - 2x = 70

2x = 70

x = 70/2

x = 35

Answer:

go to desmos. com there's a free graphing calculator that helps

Answer:

On a coordinate plane, a vertical line goes through x = 3.

Step-by-step explanation:

I haven't looked at the other choices, but clearly this is a function

Answer:

will find at bottom

Step-by-step explanation:

A relation is a function of x if each value of x in the domain corresponds to exactly one value of y in the range. In other words, there should be no repeated values of x with different values of y.

Let's analyze each of the given tables to determine which one represents a function of x:

1. Table 1: In this table, we have x values of -1, 2, 2, and 3. Notice that x = 2 appears twice with different y values. This violates the definition of a function, so Table 1 is not a function of x.

2. Table 2: This table has x values of -8, -8, 1, and 1. Similar to the previous table, x = -8 and x = 1 appear twice with different y values. Therefore, Table 2 is not a function of x.

3. Table 3: In this table, all the x values are the same, which is -5. However, the corresponding y values are different (-9, 7, -9, and 2). Since each x value has a unique y value, Table 3 represents a function of x.

4. Table 4: This table consists of x values of -3, -2, 4, and 7. Each x value corresponds to a unique y value (-1, 5, 0, and -1). Therefore, Table 4 also represents a function of x.

To summarize, the relations that are functions of x are Table 3 and Table 4.

Answer:

Step-by-step explanation:

689×147-689×47

=689(147-47)

=689(100)

=689×100

Step-by-step explanation:

there u have it, since y is 0, we make a straight line that passes through 2 and shade the numbers that are <2

Answer:

[tex]12x^{2} -11x-5[/tex]

Step-by-step explanation:

1) Distribute

[tex]4x(3x-1)-2(3x+1)-(x+3)\\12x^{2} -4x-2(3x+1)-(x+3)[/tex]

2) Distribute

[tex]12x^{2} -4x-2(3x+1)-(x+3)\\12x^{2} -4x-6x-2-(x+3)[/tex]

3) Distribute

[tex]12x^{2} -4x-6x-2(x+3)\\12x^{2} -4x-6x-2-x-3[/tex]

4) Subtract the numbers

[tex]12x^{2} -4x-6x-2-x-3\\12x^{2} -4x-6x-5-x[/tex]

5) Combine like terms

[tex]12x^{2} -4x-6x-5-x\\12x^{2} -11x-5[/tex]

Answer:

66-3i

Step-by-step explanation:

(4-3i)-(9-71)

(4-3i)-(-62)

(4-3i)-62

66-3i

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle ABC with extended line CD.

Since CD is colinear with BC, therefore, BCD will be a single straight-line segment.

The ∠BCD is straight angle so it will be 180°.

∠BCD = ∠ACB + ∠ACD

∠ACB + 60 = 180

∠ACB = 180 - 60 = 120°.

An obtuse triangle is a triangle whose one or more interior angle is greater than 90°.

Since∠ACB > 90° therefore triangle ABC is an obtuse angle.

Hence "The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle".

For more about triangles,

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Answer:

,a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. 

The polygon is 5 units in length and not 4

so using the given formula P = 2l + 2w

(2 x 5) + (2 x 3)

10 + 6

= 16 units

Answer:

The answer can be literally anything.

Step-by-step explanation:

The answer can be literally anything. I can see most of the answers says 3 but, that is only one of the solutions. It is the answer when questions defines the relationship as number of characters, but the question never says that. All it says is, find me a relation which satisfies few values, and then find the relationship value at a new point.

Let us start by examining the question. So here is the question in mathematical terms:

Given:

f(1)=3, f(2)=3, f(3)=5, f(4)=4 and f(5)=4

Find f(6).

So if we assume the function to be f(x) then we know its value at 5 points.

Let’s say f(6)=K, so now we know it’s value at 6 points.

Now, given the value of a function at N points, we can always find a (N-1) degree polynomial which will be that function.

Now, you can put whatever value of K you want, and you will get corresponding set of coefficient vector which will satisfy the function values at the given points.

On a side note, I don’t consider this puzzle a good puzzle, since most of the people asking it expect only 3 as answer. They basically want you to limit the way you think, in a particular direction, which I think is not a very great idea.

Resource: http://mth.bz/fit/polyfit/findcurv.htm#06

It concludes that 6 = 3 for the given pattern, because in "six" has "3" letters.

A pattern is a recurring series of occurrences or elements that can be used to identify and categorize various forms of data or information.

As per the question,

1=3

2=3

3=5

4=4

5=4

If we write "1" in a word then we will write "one" and if we count the letter it will give us "3".

If we write "2" in a word then we will write "two" and if we count the letter it will give us "3".

If we write "3" in a word then we will write "three" and if we count the letter it will give us "5".

Similarly, if we write "6" in a word then we will write "six" and if we count the letter it will give us "3".

Hence, 6 = 3.

Learn more about the pattern of numbers here:

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Answer:

Step-by-step explanation:

As per the question we have:

This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.

So the lines could be:

Lines must be perpendicular to each other as they are cutting at y intercept -1

Slope intercept form of line

for slope -1

For slope 1

y=x-1

Answer:

download Gauthnath and see answer

1. D. (0,3)

2. B. 650

3. C. 780

Bener semua kok

semoga membantu.

kasi brainliest oi wkwkwk

Answer:

Dana paid $45.60 in total.

Step-by-step explanation:

20% of 38 is 7.60. Add this to the total price of $38. (38+7.60=$45.60)

Answer:

5/6

Step-by-step explanation:

1/12 + 3/4 = 9/12

9/12 + 1/12 = 10/12

simplify 10/12

= 5/6

Answer:

6 loads would be required to fill the truck with 2¼ tons

Step-by-step explanation:

1 ton= 2000 pounds

2¼ tons= 4500 pounds

4500/750=6

Please allow me to know this helped by clicking thank you, rating or brainly.

Thank you,

Miss Hawaii

Answer:

6 loads

Step-by-step explanation:

Answer:

∠A = 100

∠B = 50

∠C = 30

Step-by-step explanation:

Sum of all angles of triangle = 180

∠A + ∠B + ∠C = 180

2x +x + x - 20 = 180  {Combine like terms}

4x - 20 = 180      

Add 20 to both sides

4x = 180 + 20

4x = 200

Divide  both sides by 4

x = 200/4

x = 50

∠A = 2x = 2*50 = 100

∠B = x = 50

∠C = x - 20 = 50 - 20 = 30

Answer:

125

Step-by-step explanation:

5^3 = 5 x 5 x 5

5 x 5 x 5 = 25 x 5

25 x 5 = 125

answer:

125

step by step explaination:

5³

5×5×5 = 125

Answer:

1

Step-by-step explanation:

(3x + 4)(px + q) = 12x^2 + ax - 20

3px^2 + 3qx + 4px + 4q = 12x^2 + ax - 20

3px^2 = 12x^2

p = 4

4q = -20

q = -5

px + q = 4x - 5

(3x + 4)(4x - 5) =

= 12x^2 - 15x + 16x - 20

= 12x^2 + x - 20

= 12x^2 + ax - 20

ax = x

a = 1

Answer:

g(f(x)) = x

Yes, the functions are inverses.

Step-by-step explanation:

Hi there!

We're given:

[tex]f(x) = 8x-7[/tex]

[tex]g(x)=\displaystyle\frac{x+7}{8}[/tex]

To solve for g(f(x)), plug f(x) into g(x) as x:

[tex]g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x[/tex]

Because g(f(x)) = x, the two functions are inverses.

I hope this helps!