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DENIUS [597]
3 years ago
6

A department store in your hometown charges 9.75% tax; the stores location in your cousins hometown only charges 7.75% tax. If a

shoppers pre tax receipt is between $11.57 and $81.43, write and graph a compound inequality that describes the differences in taxes paid for the two locations (to the nearest cent).
Mathematics
1 answer:
Elanso [62]3 years ago
6 0
The compound inequality would be
0.23≤x≤1.63.

The graph would have a number line marked at least from 0.23 to 1.63; both of these numbers would have a filled in circle over them, and the area of the line between them would be shaded.

We must find the amount of tax for each city and each purchase amount:
9.75%=9.75/100 = 0.0975
0.0975(11.57) = 1.13
0.0975(81.43) = 7.94

7.75% = 7.75/100 = 0.0775
0.0775(11.57) = 0.90
0.0775(81.43) = 6.31

To find the differences in the tax amounts, we subtract:
1.13 - 0.90 = 0.23
7.94 - 6.31 = 1.63
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Find the quadratic function that fits curve below. Select the correct answer.
raketka [301]
<h2>Hello!</h2>

The answer is:

The quadratic function that fits the given picture is:

y=-3x^{2}+13x-5

<h2>Why?</h2>

We can solve the problem and find the correct function that fits the curve below by finding which function intercepts the y-axis at -5 (we can see it from the picture), also, we need to look for a function that represents a parabola opening upwards. We need to remember that when a parabola is opening upwards, its quadratic term coefficient is negative.

So, we can see that from the given functions, the only function that represents a parabola opening upwards and its y-intercept is located at y equal to -5 is the second option:

y=-3x^{2}+13x-5

We have that :

a=-3(negative)\\b=13\\c=-5(y-intercept)

We can see that the quadratic term (a) is negative, and the quadratic function intercepts the y-axis at y equal to -5.

Hence, the answer is:

The quadratic function that fits the given picture is:

y=-3x^{2}+13x-5

Have a nice day!

Note: I have attached a picture for better understanding.

4 0
3 years ago
How important is it to have the health care provider discuss nutrition during a sports physical? (1 = not important, 2 = somewha
nikklg [1K]

Answer:

categorical ordinal

Step-by-step explanation:

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8 0
3 years ago
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Delvig [45]

Answer:

x > -1

Step-by-step explanation:

Isolate the variable, x. Treat the > sign like an equal sign, what you do to one side, you do to the other.

Subtract 5 from both sides:

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x > 4 - 5

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x > -1 is your answer.

~

8 0
3 years ago
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damaskus [11]

Answer:

Step-by-step explanation:

no, he is not. He literally added the numerators and the denominators. When ur adding fractions with the same denominator, u just add the numerators and keep the same denominator.

1/5 + 2/5 = 3/5

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