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1 year ago

If m = 2s and n = (2s - 1) / 3 then what is the value of s form m = n ?

Mathematics

1 answer:

Leto [7]1 year ago

4 0

Answer:

$s = - \frac{1}{4}$

Step-by-step explanation:

For m to be equal to n,

$2s = \frac{2s- 1}{3}$

Multiply both sides by 3:

$6s = 2s - 1$

Minus 2s on both sides:

$4s = - 1$

Divide by 4 on both sides:

$s = - \frac{1}{4}$

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Function f is a linear function with an initial value of 17 and a rate of change of –3. Some values for the linear function g ar

tia_tia [17]

Answer:

g(x) exceed f(x) by $10$ when $x=5$

Step-by-step explanation:

step 1

Find the equation of function f(x)

we know that

The initial value is the y-intercept of the linear function (value of y when the value of x is equal to zero)

$b=17$

The rate of change is equal to the slope

$m=-3$

therefore

$f(x)=-3x+17$

step 2

Find the equation of function g(x)

Let

$A(0,-8),B(2,0)$

Find the slope

$m=(0+8)/(2-0)=4$

$b=-8$ ----> point A

therefore

$g(x)=4x-8$

step 3

Find the value of f(x) and g(x) for $x=5$

$f(5)=-3(5)+17=2$

$g(5)=4(5)-8=12$

Find the difference

$g(5)-f(5)=12-2=10$

3 0

2 years ago

A number, x, rounded to 2 decimal places is 15.38<br>Write down the error interval for x.

Stels [109]

Answer:

The error interval for x is:

$[15.375,15.384]$

Step-by-step explanation:

In order to determine the error interval for x, We have to get the all the number which could be rounded off to $15.38$ .

These number can be listed in order such as:

15.375 15.376 15.377 15.378 15.379 15.380 15.381 15.382 15.383 15.384

Therefore, the error interval for x is:

$[15.375,15.384]$

5 0

2 years ago

What is the first step to solve this equation : 11-3x=44

Zolol [24]

Answer:

Subtract 11 from both sides

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

adam and betty purchased a printer together for $258. If adam paid $18 less than twice betty, how much money did Adam pay for th

LenKa [72]

Answer:

Step-by-step explanation:

Let A = Adam, B = Betty

Adam and Betty purchased a printer together for $258.

This means we can say A + B = 258.

We are also told Adam paid $18 less than twice Betty.

You can write this as:

Adam = 2 x Betty - 18

A = 2B - 18

Substitute "A" into the A + B equation and you get:

A + B = 258

2B - 18 + B = 258

3B - 18 = 258

Add 18 to both sides.

3B = 258 + 18

3B = 276

Divide both sides by 3 to find B

B = 276/3 = 92 (This means Betty paid $92).

Since the total that they paid together was $258.

This means Adam pays the Total - How much Betty paid

Adam = 258 - 92 = $166

4 0

2 years ago

Read 2 more answers

a group of 12 adults and 26 children go to a theme park . The total costs of the tickets was £1804.80. An adults ticket costs 51

nadya68 [22]

Answer:

The cost of a ticket for a child is £45.6

Step-by-step explanation:

- A group of 12 adults and 26 children go to a theme park

- The total costs of the tickets was £1804.8

- An adults ticket costs £51.6

- We need to find the cost of a ticket for a child

- Assume that the price of a ticket for a child is £x

∵ The group has 26 children

∴ The cost of children tickets = 26 × (x)

∵ The group has 12 adults

∵ The cost of the adult ticket = £51.6

∴ The cost of adult tickets = 12 × 51.6

∵ The total cost of tickets = 26 × (x) + 12 × 51.6

∴ The total cost of tickets = 26 x + 619.2

∵ The total costs of the tickets was £1804.8

- Equate the two expressions of the total cost

∴ 26 x + 619.2 = 1804.8

- Subtract 619.2 from both sides

∴ 26 x = 1185.6

- Divide both sides by 26

∴ x = 45.6

* The cost of a ticket for a child is £45.6

6 0

2 years ago

Read 2 more answers

If m = 2s and n = (2s - 1) / 3 then what is the value of s form m = n ?​

If m = 2s and n = (2s - 1) / 3 then what is the value of s form m = n ?