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2 years ago

X squared plus 5x plus 6 in a factor of binomials

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

5 0

Answer:

(x + 3)(x + 2)

Step-by-step explanation:

Given

x² + 5x + 6

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 3 and + 2 , since

3 × 2 = 6 and 3 + 2 = 5 , thus

x² + 5x + 6 = (x + 3)(x + 2)

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Someone please help and show work

aleksklad [387]

Answer:

a) 4 $x^{6}$

b) 2 $w^{4}$

Step-by-step explanation:

a) multiply the coefficients and add the exponents

(4)(1) · $x^{3+3}$ = 4 $x^{6}$

b) divide the coefficients and subtract the exponents

(14 ÷ 7) · $w^{6-2}$ = 2 $w^{4}$

4 0

3 years ago

Which of the following rules should be use to find the area of a triangle?

lbvjy [14]

The area of a triangle is half the product of the base and the height.

Since multiplication is commutative, the following expressions are equivalent:

$A=(bh)\cdot \dfrac{1}{2} = \dfrac{b}{2}\cdot h = \dfrac{h}{2}\cdot b$

So, option D is correct

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3 years ago

Find the limit lim x->0 (4x/tan2x)

My name is Ann [436]

Answer:

Step-by-step explanation:

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2 years ago

For Quon's first 6 quizzes he had a mean score of 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz

Alexandra [31]

Answer:

Difference in scores between his 7th and 8th quizzes = 22

Step-by-step explanation:

Given: Mean score for first 6 quizzes is 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz the mean was 34.

To find: difference in scores between his 7th and 8th quizzes

Solution:

Mean scores = Total points scored in quizzes ÷ Number of quizzes

So,

Total points scored in quizzes = Mean scores × Number of quizzes

As mean score for first 6 quizzes is 33 points,

Total points scored in 6 quizzes = 6 × 33 = 198

As mean score for first 7 quizzes is 32 points,

Total points scored in 7 quizzes = 7 × 32 = 224

So,

7th score = Total points scored in 7 quizzes - Total points scored in 6 quizzes

= 224 - 198

= 26

As mean score for first 8 quizzes is 34 points,

Total points scored in 8 quizzes = 8 × 34 = 272

So,

8th score = Total points scored in 8 quizzes - Total points scored in 7 quizzes

= 272 - 224

= 48

Therefore,

Difference in scores between his 7th and 8th quizzes = 48 - 26

= 22

7 0

2 years ago

Solve the system algebraically. y=3-1/2x 3x+4y=1 what is the value of x?

Gre4nikov [31]

Use the expression for y in the second equation.
.. 3x +4(3 -(1/2)x) = 1
.. 3x +12 -2x = 1
.. x +12 = 1
.. x = -11

8 0

3 years ago