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egoroff_w [7]
3 years ago
9

Is the solutipn shown below correct? Explain. 9x+2=8x^2+6x

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

the answer is not correct

there is a sign error under the radical

it should be 3^2 - 4(-8)(2) = sqrt(73) not sqrt(55i)

Step-by-step explanation:

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Pls someone help me figure out how to do this!
Dafna11 [192]

Answer:

  g(x) = -3/5|x -6| +4

Step-by-step explanation:

Given the graph of an absolute value function, you want the equation for it.

<h3>Transformations</h3>

The desired form is ...

  g(x) = a|x -h| +k

The parameters a, h, k represent different features of the transformation of the graph of the parent function f(x) = |x|.

<h3>Vertical scale factor</h3>

The parameter 'a' is the vertical scale factor. There are two features of this graph that tell you what the value is.

  • the slope of the lines
  • the direction of opening

The line on the left side of the vertex seems to intersect points (1, 1) and (6, 4). The slope of this line can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (4 -1)/(6 -1) = 3/5

The graph opens downward, meaning that the parent absolute value function has been reflected across the x-axis. In other words, the sign of 'a' is negative. Its magnitude is the slope we just found, so ...

  • a = -3/5

<h3>Translation</h3>

When a function is translated h units horizontally and k units upward, the transformed function becomes ...

  g(x) = f(x -h) +k

We notice the vertex of the graph has moved from (0, 0) to (6, 4), so we have ...

  • h = 6
  • k = 4

<h3>Equation</h3>

Now that we know the values of the parameters in the equation, we can write it as ...

  g(x)=a|x-h|+k\\\\\boxed{g(x)=-\dfrac{3}{5}|x-6|+4}

__

<em>Additional comment</em>

Finding the vertical scale factor will work differently for different kinds of functions. In general, you want to find some vertical feature of the original function that you can recognize in the transformed function.

Here, that "feature" is the fact that an absolute value function has a rise of 1 for each run of 1 (a slope of 1) to the right of the vertex. This graph has a "rise" of -3 for a run of 5 to the right of the vertex. Effectively, the graph of the original absolute value function has been scaled by a factor of -3/5.

6 0
1 year ago
Devin made some mistakes. Identify where he made each mistake:
mihalych1998 [28]
When doing the order of operations and you are put in a situation where you do two different operations, solve the problem from left to right.
In this case instead of doing 6*4 first do 24/6 first.

4 0
3 years ago
Is each expression equivalent to 2x^2 - 50?
puteri [66]
We would first determine how to solve this, and then from there, we would then see whether the following answer would be the correct answers.

2x^2 -  50 \\ \\ Pull \ out \ like \ factors : \\ &#10;&#10;   2x^2 - 50  =   2 * (x^2 - 25) \\ \\    Factoring: \\    x^2 - 25 \\ \\ (your \  answer)...\\ \\   2 * (x + 5) * (x - 5)

Now, we can determine whether the say "yes" or "no" to the following answers.

<span>a 2(x-5)(x+5) = YES
b -2(x+5)(x+5) = NO
c -2(5-x)(x+5) = NO</span>
3 0
3 years ago
Three boxes are shipped on a truck,. Each box has a base of 16 square feet. Two of the boxes have a height of 3 feet and one box
vodka [1.7K]
I believe the answer is 176 cubic feet
7 0
3 years ago
Read 2 more answers
How do you write “the sum of b and 4 “as a variable expression
Colt1911 [192]

Answer:

4+b

Step-by-step explanation:

3 0
3 years ago
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