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timofeeve [1]
3 years ago
6

Which binomials below is a factor of this trinomial, x^2 - 6x - 16 I WILL MARK BRAINLIEST

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

(x - 8) and (x + 2) are both factors

Step-by-step explanation:

Given

x² - 6x - 16

Consider the factors of the constant term (- 16) which sum to give the coefficient of the x- term (- 6)

The factors are - 8 and + 2, since

- 8 × 2 = - 16 and - 8 + 2 = - 6, thus

x² - 6x - 16 = (x - 8)(x + 2)

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The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00
xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

2.50x + 0.75y \leq22

Now, if there are three people in the group we have that x = 3.

2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8

Thus, they could travel a maximum of 5 people.

ANswer:

2.50x + 0.75y \leq22

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

7 0
3 years ago
Jennifer is excited to be retiring after 35 years of service as a high school English teacher. Over the past 35 years, Jennifer’
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Answer:

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Step-by-step explanation:

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Ede4ka [16]

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3 years ago
Find the midpoint (6,3) and (14,9)
scoray [572]

Answer:

(10,6)

Step-by-step explanation:

The equation you would use to solve this is (x1+x2/2 , y1+y2/2) so when you plug in the numbers you get this (6+14/2 , 3+9/2) which eventually simplifies into (10, 6)

3 0
3 years ago
How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function
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Answer:

See below for answer and explanations (as well as an attached graph)

Step-by-step explanation:

Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.

Take for example y=\frac{1}{x}:

  • As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptote
  • As y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptote

See the graph for a visual.

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