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Serjik [45]
3 years ago
7

Determining the Equation of a Function from a Graph

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0

Answer: Given the graph of the function f(x) which is described by a parabola with the vertex at (0, 0) and the graph of the translated function g(x) which is described by a parabola with the vertex at (5, 2).

Notice, that the vertex of the translated function is 5 units to the right and 2 units up of the graph of f(x).

Thus, g(x) is obtained by translating the function f(x) 5 units to the right and 2 units up.

Recall that given a function described by a parabola with vertex at (h, k) as

A translation of a units to the right and b units up will result in

Therefore, the equation of the translated function, g(x) is given by

Step-by-step explanation:

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when a pen is sold at a discount of 15%, there is a gain of Rs 10. but if it is sold at 25% discount, there is a loss of Rs 2. f
LenaWriter [7]

Answer:

Rs 120.  

Step-by-step explanation:

10=0.85SP-CP; CP+10=0.85SP; SP=[CP+10]/0.85 Eq 1. Let SP= Selling Price and CP= Cost Price

-2 =0.75SP-CP; 0.75SP=C-2; SP=[CP-2]/0.75 Eq 2

[CP+10]/0.85=[CP-2]/0.75 : SP of Eq 1=SP of Eq 2

0.75[CP+10]=0.85[CP-2]

0.75CP+7.5=0.85CP-1.7

0.85CP-0.75CP=-1.7–7.5=9.2

0.10CP=9.2; CP=9.2/0.10

CP=Rs 92 Cost Price of pen

10=0.85SP-92; 0.85SP=92+10=102; SP=102/0.85=Rs 120 Marked Price of pen (answer)

From Eq2: -2=0.75SP-CP; 0.75SP=CP-2=92–2=90; SP=90/0.75=Rs120; -2=0.75(120)-CP; CP-2=0.75(120); CP-2=90; CP=90+2=Rs 92

Set CP of Eq 1=CP of Eq 2:

CP=0.85SP-10 from Eq 1; CP=0.75SP+2 from Eq 2;

0.85SP-10=0.75SP+2; 0.85SP-0.75SP=10+2=12

0.10SP=12; SP=12/0.10=Rs120 is the Marked Price(answer)

Normally, the Selling Price is the marked price. The seller will not disclose the Cost Price because it is the price when the item was acquired or procured, otherwise the buyer will ask for more discounts and based his buying price from the Cost Price if it is known. The calculated SP and CP satisfy both Eq 1 and Eq 2. Both Eq 1 and Eq 2 satisfy the given conditions of the problem above.

8 0
3 years ago
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 19 cm long and 4 cm wide. The di
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Answer:

Since we have two semi-circles we can say that we have a full circle. using the circle area formula we can say that

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Using the rectangle area formula we can say that

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Adding them both together is

12.56 + 76 = 88.56 cm

So the bookmark has an area of 88.56cm^2

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3 years ago
13. The diagram in this figure illustrates a _______ angle.
Paha777 [63]
I believe the answer is A!!
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Simplify the expression.<br><br> (128x^5/8x)^1/4
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Simplifying:

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I need help on iready
kicyunya [14]

Answer:

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Step-by-step explanation:

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