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3 years ago

How do the graphs of f(x)=x^3 and g(x)=(1/2x)^3 relate?

Mathematics

1 answer:

olga55 [171]3 years ago

5 0

Answer:

They are both cube functions, only g(x) has a larger slope (1/2), both graphs pass through the origin

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A store normally sells a floor lamp for $83.99. The store is having a sale that reduces the lamp's price by 15%. How much does t

-Dominant- [34]

The answer should be $71.39

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3 years ago

Find the missing length. The triangles are similar.

hodyreva [135]

Answer:

182

Step-by-step explanation:

First, we can say that ∠ACB and ∠BCF are opposite angles because they are not next to each other and are formed by intersecting lines. Therefore, ∠ACB = ∠BCF

Next, angles correspond with the side opposite of it. This means that, for example, ∠ACB corresponds with line AB and ∠BCF corresponds with line BF. Because ∠ACB and ∠BCF are equal and the triangles are similar, we can say that their corresponding sides have a ratio with each other. Similarly, ∠CAB corresponds to CB, ∠ABC corresponds to AC, ∠CWV corresponds to CV, and ∠CVW corresponds to CB.

Because the triangle CVW is isosceles, we can say that the angles whose corresponding sides are equal are equal as well, so ∠CAB = ∠ABC and ∠CVW = ∠CVW. Next, because ∠ACB and ∠BCF are equal and correspond to each other, and the other two angles in each triangle are equal to each other, we can say that the other two angles must be equal. Another way of putting this is like this:

Say that x = ∠CAB. Then,

∠CAB + ∠ABC + ∠ACB = 180

x + x + ∠ACB = 180

2x + ∠ACB = 180

subtract ∠ACB from both sides

180 - ∠ACB = 2x

Similarly, if y = ∠CWV,

180 - ∠WCV = 2y. Therefore, 2y=2x and y=x, so ∠CAB = ∠ABC = ∠CWV = ∠CVW.

Given this, we can say that sides CV and CW correspond with BC and AC. This means that the ratio between, for example, CV and BC is equal to the ratio between CW and AC. Therefore,

CV/BC = CW/AC

84/182 = 84/?

Filling in the blank, 84/182 is equal to 84/182, so ? = 182

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3 years ago

Shelly wanted to buy a shirt for $25 and a skirt for $20.When she got to the check out stand, they added 8% tax to her total. Ab

Verizon [17]

Answer:

$3.60

Step-by-step explanation:

25+20=45 (because you need the tax of both)

0.8(45)=3.60 (finding the tax amount)

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3 years ago

The graph plots four equations, A, B, C, and D:

rjkz [21]

Answer:

Hi! The answer to your question is D. Equation B and Equation D

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

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3 years ago

Read 2 more answers

Determine whether the series is arithmetic or geometric. Then evaluate the finite series for the specified number of terms. 10 +

Salsk061 [2.6K]

Answer:

10 + 7 + 4 + . . .; n = 5

The series is arithmetic

Common difference between terms = (-3)

10 - 3 = 7

7 - 3 = 4

Or:

10 + (-3) = 7

7 + (-3) = 4

--------------------------------------------------------------------------

Another example:

Arithmetic:

5, 9, 13, 17

common difference = 4

5 + 4 = 9

9 + 4 = 13

Geometric:

4, 8, 16, 32

4 × 2 = 8

8 × 2 = 16

16 × 2 = 32

common ratio = 2

--------------------------------------------------------------------------

10 + 7 + 4 + . . .; n = 5

a₁ = 10

a₂ = 7

a₄ = a₃ + d = 4 + (-3) = 4 - 3 = 1 (d = common difference)

a₅ = a₄ - 3 = 1 - 3 = -2

Or with formula:

$d=a_{n} -a_{n-1}$

d = a₂ - a₁ = 7 - 10 = -3

aₙ = a₁ + (n - 1)d

fourth term = a₄ = 10 + (4 - 1)(-3) = 10 + 3(-3) = 10 + (-9) = 10 - 9 = 1

fifth term = a₅ = 10 + (5 - 1)(-3) = 10 + 4(-3) = 10 + (-12) = 10 - 12 = -2

Sum of the finite series (if n = 5):

$S_{n} =\frac{n(a_{1} +a_{n} )}{2} \\S_{5} =\frac{5(a_{1} +a_{5} )}{2} \\S_{5} =\frac{5(10 +(-2) )}{2} \\S_{5} =\frac{5(8 )}{2} =\frac{40}{2} =20$

Manual count: S₅ = 10 + 7 + 4 + 1 + (-2) = 20

7 0

2 years ago

How do the graphs of f(x)=x^3 and g(x)=(1/2x)^3 relate?​

How do the graphs of f(x)=x^3 and g(x)=(1/2x)^3 relate?