In the geometric sequence below, what is the common ratio?

Sequence: 64,16,4,1

Answer:

It is (a)

[tex]g(x) = ( { \frac{1}{4} x})^{2} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

None of the given options are correct.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

The point (4,1) is on the graph of the function f(x) = x^2. That means f(4) = 1.

We want to find the equation of a new function g(x) that satisfies the condition g(4) = 1.

One possible equation for g(x) that meets this condition is:

g(x) = a(x - 4)² + 1

where a is some constant that we need to determine.

Since the graph of g(x) is a parabola, we know that it has the form y = ax^2 + bx + c. We can use the point (4,1) to find a:

g(4) = a(4 - 4)² + 1 = 1

Simplifying this equation, we get:

a = 0

Therefore, the equation for g(x) is:

g(x) = 1

So the correct answer is (none of the above), because none of the given choices matches this result.

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Answer:

y = csc(x) + 2

Step-by-step explanation:

The equation for the given graph is y = csc(x) + 2

'In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism. The graphs are expressed differently in terms of graph equations.'

According to the given problem,

We know, periodicity of a.csc( bx + c ) + d = [tex]\frac{periodicity of cscx}{[b]}[/tex]

The periodicity of csc(x) is 2π,

                                                                       ⇒ [tex]\frac{2\pi }{1}[/tex]

                                                                       = 2π

Hence, we can conclude, the equation y = csc(x) + 2 represents the given graph.

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Answer:

3

Step-by-step explanation:

Answer:

X = 2 If the exponent 2 in the 2 does not have the x

Step-by-step explanation:

Answer:

D+7=K

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

because all sides are equal

The expression is a perfect square of (x+10)².

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.

Given that the expression, x² + 20x + 100,

So, writing the expression as expanded form,

x·x + 2·10·x + 10·10

x² + 2·10·x + 10²

We see it is in the form of a² + 2ab + b²,

We know that, a² + 2ab + b² = (a+b)²

So,

x² + 2·10·x + 10² = (x+10)²

Hence the expression is a perfect square of (x+10)².

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Answer:

300 cars must be made to minimize the unit cost

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

The cost of producing x cars is given by:

[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]

So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]

How many cars must be made to minimize the unit cost?

This is the xvalue of the vertex. So

[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]

300 cars must be made to minimize the unit cost

Answer:

B. 4x+y=12

Step-by-step explanation:

You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.

Answer:

(1,0) (2,1) (4,4)

y<x+1 (for the dashed line)

y≥-2x+2 (for the solid line)

Step-by-step explanation:

Answer:

Drip is the only answer

Step-by-step explanation:

Answer:

4=4

5=9

Step-by-step explanation:

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Given

The above triangles

Required

Find x

The two triangles are similar. So we make use of the following equivalent ratios, to solve for x

[tex]XZ : ZY = JL : LK[/tex]

Replace each side with their measurements

[tex]13 : 10 = x : 20[/tex]

Express as fraction

[tex]\frac{13}{10} = \frac{x}{20}[/tex]

Solve for x

[tex]x = \frac{13}{10} * 20[/tex]

[tex]x = 1.3 * 20[/tex]

[tex]x = 26[/tex]

Answer:

Step-by-step explanation:

x²-16x+60

=x²-6x-10x+60

=x(x-6)-10(x-6)

=(x-6)(x-10)

so dimensions are x-6 and x-10.

Answer:

1) AM, MY, AY

2) GY, GQ, QY

3) QM, QG, MG

4) YX, YG, XG

Step-by-step explanation:

In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.

Using this concept, we can answer the questions;

1) Largest side = AM

Smallest side = AY

Arranging from largest to smallest side;

AM, MY, AY

2) Largest side = GY

Shortest side = QY

Arranging from largest to smallest side;

GY, GQ, QY

3) Largest side = QM

Shortest side = MG

Arranging from largest to smallest side;

QM, QG, MG

4) Largest side = YX

Smallest side = XG

Arranging from largest to smallest side;

YX, YG, XG

Answer:

the volunteers who assess the stains

Step-by-step explanation:

Hope this helps

Answer:

the types of detergent i think

Step-by-step explanation:

Answer:

j(x)=a(x+9)(x-2)

j(x)=1(x+9)(x-2) < final answer

Answer: x=6  x=5

Step-by-step explanation:

Answer:

take hints and don't be confused on such question

Answer:

he would have a 2/5 chance because he misses or hit three so he would either miss two or hit two according to the chart

Step-by-step explanation:

sry if I'm wrong but it would be one of the most valid answers

Answer:

3/10

Step-by-step explanation:

#2, 7 and 8 are the valid 3 goal trials out of 10

To find the answer, you need to subtract the total inches of snow in 2021 by the total inches of snow in 2020.

So 38 -20= 18

Therefore,  from 2020 to 2021. The snow increased by 18 inches.

Hope this helped!

Answer:

B

Step-by-step explanation:

Answer:

three heads - 1/8

exactly two tails - 3/8

first two tosses are heads - 1/4

at least two tails - 1/2

Step-by-step explanation:

8 Possible outcomes

hhh, hht, hth, htt, ttt, tth, thh, tht,

three heads - 1/8

exactly two tails - 3/8

first two tosses are heads - 2/8=1/4

at least two tails - 4/8=1/2

Answer:

5.2

Step-by-step explanation:

radius is half the diameter

Answer:

5.2in

Step-by-step explanation:

Answer:

triangular prism

Step-by-step explanation:

Answer:

Hi! The answer to your question is [tex]x^{2}[/tex]+11x+28

Step-by-step explanation:Answer:

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Hope this helps!!

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- Brooklynn Deka

Answer:

B

Step-by-step explanation:

That's the only answer that represent the 25% prize rate

Answer:

D

Step-by-step explanation:

Root square of 3 is 1.732, the root square of Pi is 1.77, the root square of 8 is 2.82 and the estimated value of Pi itself is 3.14.