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Ganezh [65]
2 years ago
6

Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?

Mathematics
1 answer:
german2 years ago
7 0

Answer:

idk

Step-by-step explanation:

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Find a and k so that the given points lie on the parabola (An algebraic solution is required)
Aleks [24]

For the given points to lie on the parabola,

a = -3 and k = 10.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).

According to the question,

Equation of parabola : y = a(x-2)^{2} + k

Points A(1,7) and B(4,-2)

For the points to lie on the parabola,

7 = a(1-2)^{2}+k

7 = a + k

Similarly,

-2 = a(4-2)^{2} + k

-2 = 4a + k

On solving the two equations simultaneously, we get,

a = -3

k = 10

Learn more about parabolas here:

brainly.com/question/4061870

#SPJ1

4 0
2 years ago
Read 2 more answers
What is the pressure in atmospheres exerted by a 0.500 mole sample of nitrogen gas in a 10.0 L container at 25.0°C?
drek231 [11]

Answer:

1.2218 atm

Step-by-step explanation:

From ideal gas formula,

PV=nRT

Where n= number of moles

V= volume

T= temperature=25.0°C

= (273 + 25) = 298 K

R= gas constant = 0.082 l atm /K mol.

Making P subject of formula we have

P= [nRT] /V

Then substitute the values we have

P= [0.5 x 0.082 x 298] / 10

P= 1.2218 atm

6 0
3 years ago
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