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2 years ago

Six times a number is greater than 20 more than that number. What are the possible values of that number?

Mathematics

2 answers:

notsponge [240]2 years ago

8 0

b. n>4 its the answer so it shouldn't be wrong

svetlana [45]2 years ago

5 0

Answer: The correct option is (b) n > 4.

Step-by-step explanation: Given that six times a number is greater than 20 more than that number.

We are to find the possible values of the number.

Let the given number be n.

Then, according to the given information, we have

$6\times n>n+20\\\\\Rightarrow 6n>n+20\\\\\Rightarrow 6n-n>20\\\\\Rightarrow 5n>20\\\\\Rightarrow n>\dfrac{20}{5}\\\\\Rightarrow n>4.$

Thus, the required possible values of the number are given by

n > 4.

Option (b) is CORRECT.

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Find the exponential function that passes through the points (2,80) and (5,5120)

juin [17]

Answer:

y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

y1 = a·b^(x1)

y2 = a·b^(x1)

Divide the second equation by the first:

y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

(y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

a = y1/(b^(x1))

In summary:

b = (y2/y1)^(1/(x2 -x1))
a = y1·b^(-x1)

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

b = (5120/80)^(1/(5-2)) = ∛64 = 4

a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

y = 5·4^x

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2 years ago

A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the e

Alona [7]

In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.

The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.

Then the point has a linear speed of

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2 years ago

A= h(b+c) solve for b

madreJ [45]

A=h(b+c)
A/h=b+c
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Answer: b=(A/h)-c

7 0

2 years ago

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Klio2033 [76]

It’s 50/50 hope this helps

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2 years ago

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Please help. I have no idea how to do this. Find the measure of

vagabundo [1.1K]

m∠A = 40

Step-by-step explanation:

Given AB =AC and m∠B = 70

Since AB =AC , Triangle ABC is an isosceles Triangle and the corresponding angles B and C are equal.

So m∠B = m∠C = 70

The sum of the 3 Angles of a triangle is 180°.

=> m∠A + m∠B + m∠C = 180

=> 140 + m∠C = 180

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2 years ago