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Andrews [41]
2 years ago
10

5(2x - 8) = 90 A.5 B.10 C.13 D.15

Mathematics
1 answer:
brilliants [131]2 years ago
5 0

Answer:

13

Step-by-step explanation:

5 (2x - 8) = 90

5 × 2x - 8 = 90

2x - 8 = 90 ÷ 5

2x - 8 = 18

2x = 18 + 8

2x = 26

2x/2 = 26/2

x = 13

13 is the answer to the question.

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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
9 months ago
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!! The equal sections of a spinner have one of the following letters: A, B, A, C, B. Predict
Eddi Din [679]

Answer:

the 3rd A

Step-by-step explanation:

ABACB = 5 altogether

ABACB ABA = 8

5 0
2 years ago
Read 2 more answers
When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a
irga5000 [103]

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

6 0
2 years ago
A bus travels 32 kilometers in 30 minutes. How far will the bus travel in 4 hours at that speed? 64 km 4.27 km 128 km 256 km
solong [7]
256 km should be the answer
3 0
3 years ago
Read 2 more answers
Write the equation in standard form of the line that
aleksklad [387]

Answer:

x+2y=0

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-4)

y+2=-1/2x+4/2

y+2=-1/2x+2

y-(-1/2x)=2-2

y+1/2x=0

1/2x+y=0

2(1/2x+y)=2(0)

x+2y=0

6 0
3 years ago
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