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bonufazy [111]
3 years ago
15

An unknown number b is 10 more than an unknown number k. the number b is also k less than 8. the equations to find k and b are s

hown below: b = k + 10 b = −k + 8 which is a correct step to find k and b? (1 point)
Mathematics
2 answers:
Dmitriy789 [7]3 years ago
6 0
Just add the two equations together.
2b = 18
b = 18/2
b = 9

9 = k + 10
9 - 10 = k
k = - 1

mafiozo [28]3 years ago
4 0

Answer:

The value of k=-1 and b=9.

Step-by-step explanation:

Given : An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below: b=k+10,b=-k+8

To find : Which is a correct step to find k and b?

Solution :

The correct steps to find the value of k and b of the equations are

Let b=k+10 ......(1)

b=-k+8 ......(2)

Step 1 - Equation the value of b from both the equations,

k+10=-k+8

Step 2 - Add like terms,

2k=-2

Step 3 - Solve,

k=-1

Step 4 - Substitute k in equation (1),

b=-1+10

b=9

Therefore, The value of k=-1 and b=9.

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ziro4ka [17]

Given:

Expression is

3r^2-2r+4

To prove:

If r is any rational number, then 3r^2-2r+4 is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.  

Let r be any rational number.

We have,

3r^2-2r+4

It can be written as

3(r\times r)-2r+4

Now,

3, -2 and 4 are rational numbers by property 1.

r^2=r\times r is rational by Property 3.

3r^2\text{ and }-2r are rational by Property 3.

3r^2+(-2r)+4 is rational by property 2.

So, 3r^2-2r+4 is rational.

Hence proved.

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Step-by-step explanation:

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