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andreev551 [17]
3 years ago
5

The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0

Answer:

A

Step-by-step explanation:

An exponential function has the form

y = a(b)^{x}

Use the given solutions to find a and b

Using (0, 3 ) , then

3 = ab^{0} [ b^{0} = 1 ] , so

a = 3

y = 3(b)^{x}

Using (1, 12 ) , then

12 = 3b^{1} = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3(4)^{x} → A

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AB = 2x-5 BC = 6x AC = 27
OlgaM077 [116]

Answer:

correct answer is x = 2.75

Step-by-step explanation:

Given;

AB = 2x-5

BC = 6x

AC = 27

Hence,

=> AC = AB + BC

=> 27 = 2x-5 + 6x

=> 27 = 8x-5

=> 27-5 = 8x

=> 22 = 8x

=> 22/8 = x

=> 11/4 = x

or

2.75 = x

3 0
3 years ago
The areas of the squares adjacent to two sides of a right triangle are 29.2529.2529, point, 25 units^2 2 squared and 131313 unit
bonufazy [111]

Answer:

6.5 units

Step-by-step explanation:

We are given that

Two adjacent sides of right triangle

Suppose a,b and c are sides of right triangle.

a^2=29.25squared units

b^2=13square units.

Length of third side,c=x units

We have to find the length of third side of the triangle.

x^2=a^2+b^2

By using Pythagoras theorem

(Hypotenuse)^2=(Perpendicular\;side)^2+(Base)^2

x^2=29.25+13

x=\sqrt{29.25+13}

x=6.5units

Hence, the length x of the third side of the triangle=6.5 units

3 0
3 years ago
Read 2 more answers
Find the area of the parallelogram. pick one of these
mezya [45]

Answer:

The area of the parallelogram is 40.

Step-by-step explanation:

You multiply the base by the height:

4*10= 40

8 0
2 years ago
Read 2 more answers
7 divided by 122.50 dollars
butalik [34]
If you mean $122.50 divided in 7 parts it is $17.5
6 0
3 years ago
5) A manufacturer produces paperweights composed of two congruent triangles as shown.
Phoenix [80]

Answer:

Step-by-step explanation:

Since, both the triangles of the paperweight are congruent,

Their corresponding sides will be congruent.

3x + 2.5 = 4

3x = 4 - 2.5

x = 0.5

Similarly, 2y - 5 = 3x + y

2y - y = 3x + 5

y = 3x + 5

y = 3(0.5) + 5

y = 1.5 + 5

y = 6.5

Total length of the hypotenuse = 2y - 5

                                                    = 2(6.5) - 5

                                                    = 13 - 5

                                                    = 8

Option B is the answer.

Total length of the base = (3x + 2.5) + 4

                                        = 3x + 6.5

                                        = 3(0.5) + 6.5

                                        = 8

Option B is the answer.

4 0
3 years ago
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