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3 years ago

If the leading coefficient is negative, always factor out the negative.-x^2+5x-6

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

Answer:

-1(x-2)(x-3)

Step-by-step explanation:

first we factor the negative:

-1 (x^2 - 5x +6 )

the next step, (if possible) is to guess 2 numbers that multiplied are 6

and added are -5

in this case is easy to see that those numbers are -2 and -3

The solution then is:

-1(x-2)(x-3)

If guessing the 2 numbers doesn't work, you need to complete the square

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Step-by-step explanation:

Let x represent the cost of one cheeseburgers.

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Step-by-step explanation:

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3 years ago

A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes f

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Home is 0.6 miles away from the store

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Given:-

Total time taken by girl to complete the trip = 15 minutes = $\frac{1}{4}$ hours

Speed while riding going = 6 miles per hour

Speed while coming back = 4 miles per hour

Total time taken by girl =

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Let x be distance from home to store

$\frac{x}{6}$ = Time taken while going

$\frac{x}{4}$ = Time taken while coming back

Substituting in (1) we get

$\frac{1}{4} = \frac{x}{6} + \frac{x}{4}$

$\frac{1}{4} = \frac{2x + 3x}{12}$

$\frac{1}{4} = \frac{5x}{12}$

$x= \frac{12}{20}$

x = 0.6 miles

Thus home is 0.6 miles away from the store

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brainly.com/question/12759408

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2 years ago

Jackson and his children went into a movie theater and where they sell bags of popcorn for $6.50 each and candies for $4 each. J

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Answer:

There are no possible solutions for this question.

Step-by-step explanation:

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3 years ago

How do I solve this proportion??<br> 7/n = 8 / 7

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Read 2 more answers

If the leading coefficient is negative, always factor out the negative.-x^2+5x-6​

If the leading coefficient is negative, always factor out the negative.-x^2+5x-6