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lys-0071 [83]
3 years ago
5

Use the distributive property to factor the expression. 15x + 6

Mathematics
1 answer:
Marianna [84]3 years ago
5 0
Take 3 out of both of them
3(5x+2)
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The roots of the quadratic equation $z^2 + az + b = 0$ are $2 - 3i$ and $2 + 3i$. What is $a+b$?
AlladinOne [14]
We know for our problem that the zeroes of our quadratic equation are (2-3i) and (2+3i), which means that the solutions for our equation are x=2-3i and x=2+3i. We are going to use those solutions to express our quadratic equation in the form a x^{2} +bx+c; to do that we will use the <span>zero factor property in reverse:
</span>x=2-3i
x-2=-3i
x-2+3i=0
<span>
</span>x=2+3i
x-2=3i
x-2-3i=0
<span>
Now, we can multiply the left sides of our equations:
</span>(x-2+3i)(x-2-3i)= x^{2} -2x-3ix-2x+4+6i+3ix-6i-3^2i^2
<span>= </span>x^{2}-4x+4-9i^{2}
= x^{2} -4x+4+9
= x^{2} -4x+13
Now that we have our quadratic in the form a x^{2} +bx+c, we can infer that a=1 and b=-4; therefore, we can conclude that a+b=1+(-4)=1-4=-3.
6 0
3 years ago
To create a unique house paint color, Melton mixes together a sample that is 12 gallons of red, 2.5 gallons of yellow and 0.5 ga
Mariana [72]

Answer:

180

Step-by-step explanation:

total ratio is 15

gallons of red =

\frac{12}{15}  \times 6 \times  \frac{15}{0.5 }  \\  \\  = 144

gallons of yellow

30

gallons of blue

\frac{0.5}{15}  \times 30 \times  \frac{15}{2.5}  \\  \\  = 6

total =144+30+6

=180

4 0
2 years ago
Read 2 more answers
OMG IM SO CONFUSED HELPPPP
Sunny_sXe [5.5K]

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

8 0
3 years ago
13. A counterexample
marin [14]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Match the following items.
Novosadov [1.4K]

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

6 0
1 year ago
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