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meriva
3 years ago
14

Please help with multiplying binomials! Show your work! (3n+2)(n+3)

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0
To multiply binomials, use the FOIL method. You start by multiplying the first terms in each binomial, 3n * n. The F stands for first. 

Then you multiply the outside terms, 3n * 3. The O stands for outsides.

Then you multiply the inside terms, 2 * n. The I stands for insides

Then you multiply the last terms, 2 * 3. The L stands for last

Now solve for each, place them in the same equation, and combine like terms.

3n * n = 3n²
3n * 3 = 9n
2 * n = 2n
2 * 3 = 6

Your equation becomes 3n² + 9n + 2n + 6. 

The 9n and 2n can combine together because they are like terms. Your answer becomes:

3n² + 11n + 6
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When should the direct pattern be used to communicate negative nows?
DochEvi [55]
If you are referring to news* instead of "nows", the direct pattern should be used when firmness is necessary and the receiver may overlook look it. This provides for a clear explanation and understanding.
3 0
3 years ago
Uesday<br> Write 784,000 in each form,<br> Word:<br> Expanded
balandron [24]

Standard: 784,000

Word: seven hundred eighty-four thousand

Expanded: (700,000) + (80,000) + (4,000)

8 0
3 years ago
Helpppppppppppppppppppppppp
motikmotik

Answer:

1A, 2C, 3X, 4A, 5B, 6W, 7X

Step-by-step explanation:

Im not sure about these answers, can you have the same letter for a different number?

5 0
4 years ago
The measure of angle 1 is 65 degrees. What are the measures of the other seven angles? (Enter the
Anika [276]

Answer:

See solution below

Step-by-step explanation:

According to the diagram shown

m<1 = m<5 = 5=65 degrees (corresponding angle)

m<5 = m<4 - 65 degrees (alternate interior angle)

m<9 = m<8 = 65degrees (corresponding angle)

m<5 = m<8 = 65dgrees (vertically opposite angles)

m<6+m<8 = 180

m<6 + 65 = 180

m<6 = 180 - 65

m<6 = 115degrees

m<2 = m<6 = 115degrees (corresponding angles)

m<6 = m<7 = 115degrees (vertically opposite angles)

m<3 = m<7 = 115degrees(corresponding angle)

)

3 0
3 years ago
If x1 and x2 are the roots of the equation x^2 +5x-3=0, determine the value of x1^2 + x2^2. I know that I have to use vietas for
Arturiano [62]

Answer:

31

Step-by-step explanation:

Given

x² + 5x - 3 = 0

with a = 1, b = 5, c= - 3 , then

sum of roots x₁ + x₂ = - \frac{b}{a} = - \frac{5}{1} = - 5

product of roots = \frac{c}{a} = \frac{-3}{1} = - 3

Now

(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is

(- 5)² = x₁² + 2(- 3) + x₂²

25 = x₁² - 6 + x₂² ( add 6 to both sides ), then

x₁² + x₂² = 31

5 0
3 years ago
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