Simplify the expression.

55−4⋅5+12

Answer:

h-1(x) = -x

Step-by-step explanation:

When a number has an infinite number of non-repeating digits, which is called a non-terminating decimal value, then such number is an irrational number such as 1.3127...

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Answer:

X= 8 or 9

Step-by-step explanation:

Answer:

D) d – 22 ≥ 28;d ≥ 50

Step-by-step explanation:

Let d represents the initial money ( in dollars ) in the account,

So, after spending $ 22 the remaining amount = initial amount - $ 22 = (d-22) dollars,

According to the question,

The remaining amount ≥ $ 28

⇒ d - 22  ≥ 28

Adding 22 on both sides, ( additive property of inequality ),

⇒ d  ≥ 50

Hence, the required inequality and its solution would be,

d - 22  ≥ 28; d  ≥ 50

Option 'D' is correct.

Both equations in a system of linear equations have y-intercepts at (0,2) but it is not possible for this system to have only one solution because it depends on another point as well.

Given :

Both equations in a system of linear equations have y-intercepts at (0,2).

The following steps can be used in order to determine the system have only one solution or not:

Step 1 - According to the given data, both equations in a system of linear equations have y-intercepts at (0,2).

Step 2 - The equation of a line is given by:

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 3 - From the above steps, it can be concluded that it does not say that the system to have only one solution because it depends on another point as well.

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Answer:

[tex]-\sqrt{3}[/tex]

Step-by-step explanation:

we know that

[tex]tan(-\frac{\pi}{3})=-tan(\frac{\pi}{3})[/tex]

and

[tex]tan(\frac{\pi}{3})=\frac{sin(\frac{\pi}{3})}{cos(\frac{\pi}{3})}[/tex]

remember that

[tex]cos(\frac{\pi}{3})=\frac{1}{2}[/tex]

[tex]sin(\frac{\pi}{3})=\frac{\sqrt{3}}{2}[/tex]

substitute the values

[tex]-tan(\frac{\pi}{3})=-\frac{(\sqrt{3}/2)}{(1/2)}\\ \\=-\sqrt{3}[/tex]

Answer:

The angles and side length would remain the same, the only thing that would change is the cornents, therefore the original pre image and the image would be congruent.

Step-by-step explanation:

Answer:

A.  ∠M ≅ ∠M''

B.  △LMN ~ △L''M''N''

E.  The coordinates of vertex N'' are (3, -1.5).

Step-by-step explanation:

Transformation involves changing the position and size of a shape.

The true statements are:

The coordinates of the triangle are:

[tex]\mathbf{L = (-1, 2)}[/tex]

[tex]\mathbf{ M = (-1, -1)}[/tex]

[tex]\mathbf{N = (2, -1)}[/tex]

The transformation rule is given as:

[tex]\mathbf{do, 0.75(x,y)\circ,2(x,y)}[/tex]

The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.

Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:

The above highlights means that:

Next, we apply the rule on the coordinates of the triangle

[tex]\mathbf{L" = 0.75 \times 2 \times (-1,2)}[/tex]

[tex]\mathbf{L" = (-1.5,3)}[/tex]

[tex]\mathbf{M" = 0.75 \times 2 \times (-1,-1)}[/tex]

[tex]\mathbf{M" = (-1.5,-1.5)}[/tex]

[tex]\mathbf{N" = 0.75 \times 2 \times (2,-1)}[/tex]

[tex]\mathbf{N" = (3,-1.5)}[/tex]

Hence, the true statements are:

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Answer:
The first image in your answer choices

Explanation:
To find the table of solutions for the given graph, we observe points on the graph that are intersected by the line.

The easiest starting point is often where the line intercepts (or crosses) the vertical y-axis. This occurs one unit above the origin (0,0), so we would say list this point as ordered pair (0, 1). This eliminates the third and fourth tables as answer choices.

Now we use the horizontal x-axis to find other points that the line crosses through. Starting at x = 1, we can see the line goes through the point 4 units above the x-axis here; therefore, its ordered pair is (1, 4). This eliminates the second table as an answer choice.

Let's use one more point to confirm we have the right choice. Starting at x = -1, we can see the line goes through the point 2 units below the x-axis here; therefore its ordered pair is (-1, -2).

The first table contains all of these ordered pairs (0, 1), (1, 4), and (-1, -2), making it your answer choice.

The first thing you need to do is get rid of the 17 to leave -4x isolated..

so subtract -17 from 9 = -8 ≤-4x divide -4 from both sides = x≤2

Answer:

[tex]16\ burgers[/tex]

Step-by-step explanation:

Let

n ----> the number of burgers

x ----> the total pounds of hamburger

we know that

To find out the number of burgers, divide the total pounds of hamburger by three quarter pound (3/4 lb)

we have

[tex]x=12\ lb[/tex]

so

[tex]n=\frac{12}{(3/4)}=\frac{48}{3}=16\ burgers[/tex]

This results in 16 burgers. To find out how many three quarter pound burgers can be made with twelve pounds of hamburger, you divide the total pounds of hamburger by 0.75.

First, you need to perform a division calculation.

Note that a three quarter pound burger is equivalent to 0.75 pounds.

Therefore, you can make 16 three quarter pound burgers with twelve pounds of hamburger.

Answer:

The given function is neither even nor odd.

Step-by-step explanation:

A function is an even function if

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

A function is an odd function if

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

From the given graph it is clear that graph is passing though the points (-3,2), (-1,2), (0,1/2), (1/2,0), (1,-1), (2,-1) and (3,1).

Here,

[tex]f(3)=1[/tex]

[tex]f(-3)=2[/tex]

[tex]f(-3)\neq f(3)[/tex] and [tex]f(-3)\neq -f(3)[/tex]

Since [tex]f(-x)\neq f(x)[/tex] and [tex]f(-x)\neq -f(x)[/tex], therefore the given function is neither even nor odd.