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3 years ago

Which is the graph of f(x) = 4(1/2)^x

Mathematics

1 answer:

Svetllana [295]3 years ago

7 0

Answer:

Step-by-step explanation:

f(x) = 4(1/2)^x

Let's find the value of the function for x = 0 and for x = 1.

f(0) = 4(1/2)^0 = 4(1) = 4

f(1) = 4(1/2)^1 = 4(1/2) = 2

The only graph that has both points (0, 4) and (1, 2) is the second graph.

Answer: B.

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AleksandrR [38]

Answer:

15.50 x 32.25=499.875

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3 years ago

Pls help me

masha68 [24]

Answer:

Step-by-step explanation:

Volume of the figure = Base area * height

Base area:

Base area = area of trpezium + area of triangle

Trapezium:

a, b area the length of parallel sides and h is the height of trapezium.

a = 8 m ; b = 5 m & h = 3 m

$\boxed{ \text{ Area of trapezium = $\dfrac{(a +b)*h}{2} $}}$

$=\dfrac{(8+5)*3}{2}\\\\\\=\dfrac{13*3}{2}\\\\\\= \dfrac{39}{2}\\\\\\= 19.5 \ m^{2}$

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height = 4 m & base = 8 m

$\boxed{\text{Area of triangle =$\dfrac{1}{2}*base*height$}}$

$=\dfrac{1}{2}*8*4\\\\\\= 4*4\\\\= 16 \ m^{2}$

Base area = 19.5 + 16

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Volume of the figure = Base area * height

= 35.5 * 14

= 497 m³

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2 years ago

what is the rate of change of the linear function that has a graph that passes through the points (2,9) and (-1,3)?

Liono4ka [1.6K]

Answer:

Step-by-step explanation:

slope is 2 which is the rate of change

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3 years ago

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l

Svetlanka [38]

2(l+w)=16
l+w=16:2
l+w=8

for l>w

l=7, w=1
l=6, w=2
l=5, w=3

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3 years ago

What is the 6th term of the geometric sequence where a1 = 1,024 and a4 = −16? 1 −0.25 −1 0.25

VLD [36.1K]

The n-th term is given by

$a_n=a_1\cdot r^{(n-1)}\qquad\text{where r is the common ratio}$

Then we can find the common ratio from the given terms.

$\dfrac{a_4}{a_1}=\dfrac{a_1\cdot r^{(4-1)}}{a_1}=r^3=\dfrac{-16}{1024}=\left(\dfrac{-1}{4}\right)^3\\\\r=\dfrac{-1}{4}\\\\a_6=1024\left(\dfrac{-1}{4}\right)^5=-1$

The appropriate choice is -1.

8 0

3 years ago

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