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algol [13]
3 years ago
14

Find the solution set for the following problem. 5 diminished by 3 times a number is at most 11.

Mathematics
1 answer:
leva [86]3 years ago
4 0
For this case, the first thing we are going to do is define the following variable:
 x = unknown number
 We now write the following inequality:
 5-3x <= 11
 We clear x:
 5-11 <= 3x
 -6 <= 3x
 -6/3 <= x
 -2 <= x
 The solution set is:
 [-2, inf)
 Answer:
 
the solution set is:
 
[-2, inf)
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Simplify the like terms:<br> -4 + 7 (1 - 3m)
Firlakuza [10]
-4+ 7(1)+ 7(3m)
-4 + 7 - 21m
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3 years ago
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Find the equation of the line perpendicular to y = 3x - 6 that runs through the point (-1, -3).
Mkey [24]

Answer:

Step-by-step explanation:

I'll get you the answer. You pick it from what you are given.

The slope of the perpendicular is m1 * m2 = - 1

m1 = 3

m2 = -1 / m1

m2 = -1 / 3

So far what you have is

y = (-1/3) x + b

Use the point go get b

x = -1

y = - 3

y = (-1/3) *x + b

-3 = (-1/3)*-1 + b

-3 = 1/3 + b  

-3 - 1/3 = b

b = -3.33333  or

b = -3 1/3

b = -10/3              

So the answer is

y = (- 1/3) x - 10/3            or

y = (-1 / 3)x - 3.3333       or

y = (-1/3 )x  - (3 1/3)

6 0
3 years ago
Let K and T be the current ages of two siblings Katie and Thomas Katie is currently twice the age of Thomas. In 6 years Katie wi
Alika [10]

Answer:

Here, K represents the current age of Katie and T represents the current age of Thomas.

(a)

As per the statement:

Katie is currently twice the age of Thomas.

⇒K = 2T                ......[1]

It is also given that in 6 years Katie will be 4 times Thomas's current age.

K+6 = 4T

K+6 = 4T

Subtract 6 from both sides we get;

K = 4T-6                    ......[2]

A system of equations that describe the situation is:

K = 2T

K+6 = 4T

(b)

To find the solution:

equate [1] and [2] we have;

4T-6 = 2T

Subtract 2T from both sides we have;

2T-6 = 0

Add 6 to both sides we get;

2T = 6

Divide both sides by 2 we have;

T = 3 years

Substitute this in equation [1] we get;

K = 2(3) = 6 years.

Therefore, the current age of Katie and Thomas are 6 years and 3 years.




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Answer:

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Step-by-step explanation:

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