Answer:
The answer is x= -5 1/4
Step-by-step explanation:
Let's solve your equation step-by-step.
2/3x−4 1/2=−8
Step 1: Simplify both sides of the equation.
2/3x+−9/2=−8
Step 2: Add 9/2 to both sides.
2/3x+−9/2+9/2=−8+9/2
2/3x=−7/2
Step 3: Multiply both sides by 3/2.
(3/2)*(2/3x)=(3/2)*(−7/2)
x=−21/4
Answer:
x= −5 1/4
The domain of the function is the set of all real numbers and the range of the function is the set of all values greater than -2
<h3>How to determine the domain and the range?</h3>
The function is given as:
f(x) = 2(x -4)^2 - 2
A quadratic function can take any real number as its input.
So, the domain of the function is the set of all real numbers
The vertex of the above function is:
Vertex = (4, -2)
And the leading coefficient is:
a = 2
The y value of the vertex is;
y = -2
Because the value of a is positive, then the vertex is a minimum.
This means that the range of the function is the set of all values greater than -2
Read more about domain and range at:
brainly.com/question/10197594
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Answer:

Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

Rearrange into slope-intercept form:

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of
. Plug this into
:

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

Plug in the given point (1,3) and solve for <em>b</em>:

Therefore, the y-intercept is
. Plug this back into
:

I hope this helps!
Answer:
<em><u>7</u></em><em><u>2</u></em><em><u> </u></em><em><u>yd²</u></em>
Step-by-step explanation:
area of this figure = area of 1st rectangle + area of 2nd rectangle
= l×b + L×B
= 6 × 5 + 14 × 3
=30 + 42
= 72 yd²
she bought 9 shirts and 4 pants.
9 + 4 = 13 total articles of clothing.
Let's create an equation to model the problem.
x = price of one shirt or one pants
13x + $6 = $71
Subtract $6 from both sides.
13x = $65
Divide both sides by 13
x = $5
Each shirt or pair of pants costs $5.
The correct answer is D.