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2 years ago

Radha purchased a cosmetic item at 5 % discount. If she got the discount amount of

Mathematics

1 answer:

Fiesta28 [93]2 years ago

4 0

Answer:

She purchased the item at a price of Rs 1,406.

Step-by-step explanation:

5% of discount:

This means that she paid 100% - 5% = 95% = 0.95 of the original price of x, that is, 0.95x, and 0.05x was the discount.

Original price:

She got the discount amount of Rs 74.

74 is 5% of the original price, that is:

$0.05x = 74$

$x = \frac{74}{0.05}$

$x = 1480$

What price she purchased:

74 subtracted from the original price, that is, x - 74. So 1480 - 74 = 1406.

She purchased the item at a price of Rs 1,406.

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The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?

jonny [76]

Answer:

$\displaystyle -2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Average Rate of Change: $\displaystyle \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

Step 1: Define

Interval -1 ≤ x ≤ 3

a = -1, b = 3

f(a) = f(-1) = 4

f(b) = f(3) = -4

Step 2: Find Average

Substitute in variables [ARC]: $\displaystyle \frac{f(3) - f(-1)}{3 + 1}$
Substitute: $\displaystyle \frac{-4 - 4}{3 + 1}$
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[Fraction] Divide: $\displaystyle -2$

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2 years ago

Kate has a rectangular garden that is 8 feet long by 3 feet wide. She wishes to extend the length and width by the same amount i

elena55 [62]

Let the extension of the length and width be x.
The new dimensions are: Length = 8+x
Width =3+x
Area = 104 ft squared
Area of a rectangle = Length x Width
Therefore,
(8+x)(3+x) = 104
x^2 +11x +24=104
x^2 +11x +24-104=0
x^2 +11x-80=0

Factorize using splitting the middle term method. X^2 +16x-5x-80=0 x(x+16)-5(x+16)=0 (x-5)(x+16)=0 either x-5 = 0 or x+16=0 x=5 or x=-16 length and width measure cannot be negative. Therefore, the extension of the length and width is 5 feet each.

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2 years ago

Fine the 25th term of an arithmetic progression 12,16,20,24,

GuDViN [60]

Answer:

108

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 16 - 12 = 4, thus

$a_{25}$ = 12 + (24 × 4) = 12 + 96 = 108

6 0

2 years ago

Read 2 more answers

What is : 96 x 68.43 ?

enot [183]

96 times 68.43 would be 6569.28, or 6579 7/25

7 0

1 year ago

The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points d

alexandr402 [8]

Answer:

x = -8 and x = 4

Step-by-step explanation:

given

f(x) = (x+8) (x - 4)

recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]

hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x

f(x) = (x+8) (x - 4)

0 = (x+8) (x - 4)

Hence

either,

(x+8) = 0 ----> x = -8 (first crossing point)

(x-4) = 0 ------> x = 4 (second crossing point)

Hence the graph crosses the x-axis at x = -8 and x = 4

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2 years ago