Answer:
(1, 2)
(2,2)
Step-by-step explanation:
The inequality Given :
y < 5x + 2
y ≥ One-halfx + 1
We can use the values in the options to see which satisfies the inequality :
(-1, 3) ; X = - 1, y = 3
3 < 5(-1) + 2 ; 3 < - 4 (not true)
(0, 2) ; X = 0 ; y = 2
2 < 5(0) + 2 ; 2 < 2 (nor true)
2 > 1/2(0) + 1
2 > 1 (true)
Using (1, 2).; x = 1 ; y = 2
2 < 5(1) + 2 ; 2 < 7 (true)
2 > 1/2(1) + 1 ; 2 > 1.5 (true)
Using (2, 2)
y < 5x + 2
2 < 10 + 2 ; 2 < 12 (true)
y > 1/2x + 1
2 > 1/2(2) + 1 ; 2
Well let's see:
The first letter can be any one of 26 .
For each one . . .
The second letter can be any one of the remaining 25.
For each one . . .
The third letter can be any one of the remaining 24.
For each one . . .
The two digits can be any number from 01 to 98 ...
except 11, 22, 33, 44, 55, 66, 77, or 88. (No repetition.)
There are 90 of them.
So the total number of possibilities is (26 · 25 · 24 · 90) .
When I multiply that out, I get 1,404,000 .
I don't know how you got your number, so I can't comment on your
method, but I did find something interesting about your number:
If I assume that you did the three letters the same way I did, then
if I divide your number by (26·25·24), the quotient will show me
how you handled the two digits.
1,263,600 / (26·25·24) = 81 .
That's very intriguing, because it's so close to the 90 sets of digits
that I used. But I don't know what it means, or if it means anything
at all.
The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
<h3>What is a distributive property?</h3>
The distributive Property is one that connote the fact that if a factor is said to be multiplied by the sum or the addition of two terms, it is vital to multiply all of the two numbers by using the factor, and lastly carry out the addition operation.
Hence, The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
Learn more about distributive property from
brainly.com/question/2807928
#SPJ1
Answer:
h = 9 cm.
Step-by-step explanation:
V = kBh where k is the constant of variation.
From the given info:
32 = k*16*6 = 96k
So k = 32/96 = 1/3.
So we have the equation of variation:
V = 1/3Bh
When V = 60 B = 20, so:
60 = 1/3 20h
20h = 60 * 3 = 180
h = 180 /20 = 9.
A) is counting down by 3
B) is counting up by 5
