We know for our problem that the zeroes of our quadratic equation are

and

, which means that the solutions for our equation are

and

. We are going to use those solutions to express our quadratic equation in the form

; to do that we will use the <span>zero factor property in reverse:
</span>



<span>
</span>



<span>
Now, we can multiply the left sides of our equations:
</span>

<span>= </span>

=

=

Now that we have our quadratic in the form

, we can infer that

and

; therefore, we can conclude that

.
Answer:
180
Step-by-step explanation:
total ratio is 15
gallons of red =

gallons of yellow

gallons of blue

total =144+30+6
=180
Answer:
5.4 is rational. 5.4 divide by 2 is 2.45 5.3 and 5 3 are irrational, as it cant be divided easily
Answer:
b
Step-by-step explanation:
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
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