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Vilka [71]
3 years ago
14

A store has a coupon for $10 off and a discount of 20%. Write a function for the coupon. Use x for the original price and C for

the price after the coupon is applied.
Mathematics
1 answer:
Ludmilka [50]3 years ago
8 0
<h2>Explanation:</h2><h2></h2>

We know some facts:

  • x for the original price.
  • The store has a coupon for $10 off and a discount of 20%
  • C for the price after the coupon is applied.

So from the statement 2, you can realize there are two types of discounts:

  1. The discount offered by the coupon
  2. The discount offered by 20%

Since we need to write a function just for the coupon, then we don't include the discount offered as percentage, then we subtract the coupon from the original price:

\boxed{C=x-10}

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Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2
9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3><u>Option 1</u></h3>

\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2

\implies \left|0.3-\dfrac{3}{5}k\right|=1.6

<u>Solution 1</u>

\implies 0.3-\dfrac{3}{5}k=1.6

\implies -\dfrac{3}{5}k=1.3

\implies k=-\dfrac{13}{6}

<u>Solution 2</u>

\implies -(0.3-\dfrac{3}{5}k)=1.6

\implies -0.3+\dfrac{3}{5}k=1.6

\implies \dfrac{3}{5}k=1.9

\implies k=\dfrac{19}{6}

<h3><u>Option 2</u></h3>

\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2

\implies \left|0.3-\dfrac{3}{5k}\right|=1.6

<u>Solution 1</u>

\implies 0.3-\dfrac{3}{5k}=1.6

\implies -\dfrac{3}{5k}=1.3

\implies -3=6.5k

\implies k=-\dfrac{6}{13}

<u>Solution 2</u>

\implies -(0.3-\dfrac{3}{5k})=1.6

\implies -0.3+\dfrac{3}{5k}=1.6

\implies \dfrac{3}{5k}=1.9

\implies 3=9.5k

\implies k=\dfrac{6}{19}

6 0
1 year ago
Describe the symmetry of these functions
Oduvanchick [21]
If it was line symmetry it would need to repeat the same shape twice, which the first follows but the second doesn’t.
if it was rotational, you would need to be able to take the shape in the top right and rotate it counterclockwise or clockwise to get the shape that locks in place. that doesn’t follow that.
both line and rotational symmetry is incorrect because the first example would need to lock up inside the right side of that example.

the answer is C
5 0
3 years ago
Read 2 more answers
A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the
ale4655 [162]

Answer:

A data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have the little effect on the median, but it will raise the mean significantly.

Step-by-step explanation:

Since, we all know that the measures of central tendency are:

  1. Arithmetic Mean
  2. Median
  3. Mode
  4. Geometric Mean
  5. Harmonic Mean

Let us define Arithmetic Mean and Median.

Arithmetic mean is the sum of observations divided by the total number of observations. It is denoted by (x bar).

On the other hand, median of a distribution is that value of the variable which divides it into two equal parts.

For Arithmetic Mean:

According to the question, when data set consists 2,2,3,4,5,5 and 7, the arithmetic mean for the given data = 4

After adding 20 the given data set, the mean will be = 6

For median:

When data set consists of 2,2,3,4,5,5 and 7, the median value will be the middle value of the distribution i.e. = 4

After adding 20 to the given data set, the median will be = 4.5

Here we can say that 20 is an outlier for the given data set.

Since mean has the significant effect of the outlier because it is based on all values but the median has lesser effects of the outlier as it is based only on middle values. So whatever outlier is added to median, it will not show particular changes.

Thus , a data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have little effect on median, but it will raise the mean significantly.

6 0
2 years ago
What's the answer to the picture attached?
lukranit [14]
The answer is choice C. The reason why is because f(2010) = t(2010). The outputs of the f(x) and t(x) functions are the same when the input is x = 2010. In this case, the output is 740. 
6 0
3 years ago
SERIOUS MATH HELP PLEAZE<br> SHOW WORK OR AN EXPLANATION<br> HELPPPPPPPPPPPP
pav-90 [236]

Answer:

It's B.

Step-by-step explanation:

Z=-3, z=6

6 0
2 years ago
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