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3 years ago

Factor the trinomial: 2x^2+13x+21

Mathematics

1 answer:

svet-max [94.6K]3 years ago

3 0

Answer:

(2x + 7)(x + 3)

Step-by-step explanation:

2x² + 13x + 21

2x² + 6x + 7x + 21

2x(x + 3) +7(x + 3)

(2x + 7)(x + 3)

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What is the value of the exponent when simplifying the following expression: 16^1/2•16^1/2

pantera1 [17]

Answer:

Step-by-step explanation:

because they have the same base and it's a multiplication so you have to add the exponents

6 0

2 years ago

Read 2 more answers

A greeting card uses a geometric design containing 4 congruent kites. The card is 4 inches wide and 8 inches long. What is the a

Gnom [1K]

Answer: 4 sq. in

Step-by-step explanation:

From the question, the card is 8 inches long. Therefore, the length of the vertical diagonal of 1 kite + the length of the vertical diagonal of other kite = 8

Since we have been told that the kites are congruent, therefore the length of the vertical diagonal of both kites will be thesame

Therefore, 2(length of the vertical diagonal of 1 kite) = 8

Therefore, the length of the vertical diagonal of 1 kite will be= 4 inches

The width of the card = 4 inches

Therefore, the length of the horizontal diagonal of 1 kite + the length of the horizontal diagonal of another kite =4

Since the kites are congruent, therefore, the length of the horizontal diagonal of both kites are the same

Therefore, 2(length of the horizontal diagonal of 1 kite) = 4

Therefore, the length of the horizontal diagonal of 1 kite will be= 2 inches

Therefore, the length of the vertical diagonal of the kite= 4 inches and the horizontal diagonal= 2 inches

So, Area of kite = pq/2

Where p and q are diagonals of kite

Area of kite = (4×2)/2

=8/2

= 4 inches square

3 0

3 years ago

Read 2 more answers

5 positive integers are arranged in ascending order, as follows:

Helga [31]

The answer is: 10.

Explanation: The numbers are in order by the median/lowest to highest so in that case X wouldn't be 7 because the X would have been next to the 7 not on the other side of the 10.

4 0

2 years ago

Person A can paint the neighbor's house 6 times as fast as Person B. The year A and B worked together it

uranmaximum [27]

Person A takes 2.3 days to paint the house working alone

Person B takes 13.8 days to paint the house working alone

<em><u>Solution:</u></em>

Let "x" be the number of days it takes person A to paint the house

Person A can paint the neighbor's house 6 times as fast as Person B

Therefore.

Number of days it takes person B to paint the house = 6x

Their rates of painting are added to get the rate working together

$\frac{\text{1 house}}{\text{x days}} + \frac{\text{1 house}}{\text{6x days}} = \frac{\text{1 house}}{\text{2 days}}$

$\frac{1}{x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{1 \times 6}{6x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{7}{6x} = \frac{1}{2}\\\\\ x = \frac{7}{3}= 2.3$

Thus person A takes 2.3 days to paint the house working alone

Person B = 2x = 6(2.3) = 13.8

Thus person B takes 13.8 days to paint the house working alone

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3 years ago

Find Domain of function using Interval Notation

tensa zangetsu [6.8K]

[ - 4 , 4 ) ∪ ( 4 , ∞ )

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 4 = 0 ⇒ x = 4 ( is a vertical asymptote )

There is a zero when the numerator equals zero.

x + 4 = 0 ⇒ x = - 4 ( is a zero )

domain is [-4 , 4 ) ∪ ( 4 , ∞ )

6 0

3 years ago