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kakasveta [241]
3 years ago
5

The discounted price of a book is 85% of the original price. This is a savings of $3. A sales tax of 8% will be added to the dis

counted price. How much sales tax will be added?
Mathematics
1 answer:
Tatiana [17]3 years ago
6 0
$1.36 will be added.
The discounted price is $17.00
Multiply that by .08
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For the rational function f(x)=5−xx2+5x+6, find the points on the graph at the function value f(x)=3.
Anit [1.1K]

Given:

The rational function is:

f(x)=\dfrac{5-x}{x^2+5x+6}

To find:

The points on the graph at the function value f(x)=3.

Solution:

We have,

f(x)=\dfrac{5-x}{x^2+5x+6}

Substituting f(x)=3, we get

3=\dfrac{5-x}{x^2+5x+6}

3(x^2+5x+6)=5-x

3x^2+15x+18=5-x

Moving all the terms on one side, we get

3x^2+15x+18-5+x=0

3x^2+16x+13=0

Splitting the middle term, we get

3x^2+3x+13x+13=0

3x(x+1)+13(x+1)=0

(3x+13)(x+1)=0

Using zero product property, we get

(3x+13)=0\text{ or }(x+1)=0

x=-\dfrac{13}{3}\text{ or }x=-1

Therefore, the required values are -\dfrac{13}{3},-1.

7 0
3 years ago
What is the measure of Zx?<br> Angles are not necessarily drawn to scale.<br> B<br> A<br> 62°<br> 20
Ugo [173]

Answer:

28

Step-by-step explanation:

You can see there is a right angle formed by 62 and x, so:

x + 62 = 90

x = 28

6 0
3 years ago
How do you solve interquartile range?
77julia77 [94]
By Hand
Step 1: 
Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 2: 
Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 3: 
Place parentheses around the numbers above and below the median. 
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).

Step 4: 
Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7),  9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.

Step 5: 
Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
5 0
3 years ago
Read 2 more answers
The parallelograms with opposite sides equal and diagonals<br> equal are _________ and _____________
Ilia_Sergeevich [38]

Answer:

It is also a rhombus and a square!

Step-by-step explanation:

7 0
3 years ago
How do you answer Gemdas?
neonofarm [45]
4time15divide5+6minus4
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3 years ago
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