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3 years ago

Which of the following exponential functions represents the graph below

Mathematics

1 answer:

Ad libitum [116K]3 years ago

5 0

Answer:

Option (B)

Step-by-step explanation:

Let the equation of the exponential function give in the graph is,

f(x) = a(b)ˣ

Since the given graph passes through two points (0, 3) and (-1, 1.5)

For (0, 3),

f(0) = a(b)⁰

3 = a(1) [Since b⁰ = 1]

a = 3

For (-1, 1.5),

f(-1) = a(b)⁻¹

1.5 = 3(b)⁻¹

1.5 = $\frac{3}{b}$

b = $\frac{3}{1.5}$

b = 2

Therefore, equation of the given function will be,

f(x) = 3(2)ˣ

Option (B) will be the answer.

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katrin [286]

A-c=1 is the awnser

6 0

3 years ago

What is 54 as a percentage of 216? %

OlgaM077 [116]

Answer:

54 as a percentage of 216% is 116.64.

Step-by-step explanation:

100% of 54 is 54 so 54 x 2 would be 108. We have solved 200% of it now for the 16%. The percentage of 54 of 16% would be 8.64. Now add up all we have learned.

108 + 8.64 = 116.64

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1 year ago

Mr jones is planning to pant grass and place afence in a small area for his dog. The rectagular dimension are 12×15 feet. The gr

goldenfox [79]

Answer:

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572

Step-by-step explanation:

Given as :

The dimension of rectangular field

Length of rectangular field = L = 12 feet

width of rectangular field = w = 15 feet

The cost of grass per square foot = 50 cents = $0.5 ( ∵ 1 cents = $0.01 )

The cost of small fence = $8 per linear foot

Now, According to question

A ) Let The total feet needed for the fence total perimeter = A feet

∵ Perimeter of rectangular field = 2 × Length + 2 × width

Or, A = 2 × L + 2 × w

Or, A = 2 × 12 feet + 2 × 15 feet

Or, A = 24 feet + 30 feet

∴ A = 54 feet

So, The total feet needed for the fence total perimeter = A = 54 feet

B ) Let The total cost of fence = $B

So, The total cost of fence = The cost of small fence × perimeter of fence

i.e B = $8 × 54 feet

∴ B = $432

So,The total cost of fence = B = $432

C) Let the square feet of grass needed foe the total area = C square feet

∵The Area of rectangular fence = Length × width

Or, The square feet of grass needed foe the total area = Area of rectangular fence = L × w

i.e C = 12 feet × 15 feet

Or, C = 180 feet²

So,The square feet of grass needed foe the total area = C = 180 square feet

D) Let The total cost of grass = $D

∵ The cost of grass per square foot = $0.5

So,Total cost of grass = $0.5 × Area of fence

i.e D = $0.5 × 180 feet²

Or, D = $90

So, The Total cost of grass = D = $90

E) Let the total cost of the project = $E

∵Mr. Jones spend additional $50 for tools

So, The total cost of the project = money spent on tools + total cost of fence + Total cost of grass

i.e E = $50 + B + D

Or, E = $50 + $432 + $90

∴ E = $572

So, The total cost of the project = E = $572

Hence,

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572 Answer

3 0

3 years ago

Answer must be in fraction form

Damm [24]

Answer:

-7/18

Step-by-step explanation:

To multiply fractions, you just multiply the top number by the top number and the bottom number by the bottom number. Also, you have to watch the sign.

In this case, we have a positive fraction multiplied by a negative fraction, meaning that our answer must be negative.

So we have- 2x7 / 4x9.

This is simplified to be- 14/36, or 7/18.

However, the answer is actually -7/18, since the number must be negative.

Let me know if this helps.

8 0

2 years ago

Last year a construction worker had a gross income $ 29,700, of the which he contributed 7% to his 401(k) plain. If he got paid

AlladinOne [14]

Divide the gross income by 12 to find his monthly pay:

29,700 / 12 =$2,475 per month.

Multiply his monthly pay by 7%:

2,475 x 0.07 = $173.25 into his 401(k) per month.

The answer is A.

8 0

2 years ago