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Black_prince [1.1K]
3 years ago
5

Y and z are whole numbers y<70 z 60 work out the largest possible value of y and z

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
7 0

Answer:

a) 12

b) 129

Step-by-step explanation:

a)

w, x \in \mathbb{Z}_{\ge 0}

w>50\\x

For the smallest value of w-x, we gotta figure out the smallest value for w and the highest value for x.

w>50 \Rightarrow \text{ smallest value is } 51

For x, once -(-x)=x, we conclude that x cannot be negative and therefore, x=39.

51-39=12

b)

y, z \in \mathbb{Z}_{\ge 0}

y

For the largest value of y+z, we gotta figure out the highest value for y and z.

y

z\leq 60 \Rightarrow \text{ highest value is } 60

y+z=69+60=129

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Explain two methods for solving an equation. Give an example.
svlad2 [7]

For solving system of equations, we can use either substitution where we plug one equation into the other, or elimination where we combine the equations.


- Using elimination, you would to eliminate one variable from both equations, so you automatically would get one equation with one variable!


- Using substitution means you are going to solve one equation for one variable and substitute with its value in the other equation in order to get also an equation with one variable.



Let's take an example ...

y+x=2            and      y-2x = 1

<span>Using <span>elimination, we need to subtract these two equation; one from the other...

y+x=2
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y-2x=1
-----------
0+3x=1

then x=1/3       

and then substitute into any equation to get y-value</span></span>
y+x=2
y+1/3 = 2        >>>>>    y=5/3



NOW...<span>Using substitution
</span>y+x=2            and      y-2x = 1 >>(y=1+2x)

Plug (y=1+2x) into y+x=2    and solve for x
y+x=2
(1+2x) + x =2
1+3x = 2
3x=1

again (and for sure) x = 1/3

plug in x=1/3 into any of the equations above to get y:
y+x=2
y+1/3=2
y=5/3


DOne  !!!!!!


I hope you got the idea

If you still need help, just let me know.




7 0
3 years ago
Abraham has visited country somebody he has a cold or visiting at least 50 countries he plans to choose a school by visiting fiv
Ipatiy [6.2K]

<em>Question:</em>

<em>Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.</em>

Answer:

Countries \geq 50 + 5y

y \leq 29

Step-by-step explanation:

Given

Countries = 50 ------ at least

Yearly =5

Required

Represent as an inequality

"at least" means \geq

So the countries he has visited can be represented as thus;

Countries \geq 50

If

1 year = 5 countries

y years would be 5y countries

So, in y years; he'd have visited

Countries \geq 50 + 5y

To determine the value of y.

We have that

Countries = 195 <em>in the world</em>

<em>Substitute 195 for Countries</em>

195 \geq 50 + 5y

<em>Collect Like Terms</em>

195 - 50 \geq 5y

145 \geq 5y

<em>Divide through by 5</em>

145/5 \geq y

29 \geq y

<em>Reorder</em>

y \leq 29

This means that; he'll visit all countries in at most 29 years' time

3 0
3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

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You should check out Kahn academy
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