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dexar [7]
4 years ago
19

What are the solutions to the equation 0 = x2 – x –6? Select two options

Mathematics
2 answers:
KatRina [158]4 years ago
6 0

Answer:

x=3 or x=-2

Step-by-step explanation:

This is factorable.

The leading coefficient is 1.

Since this is a quadratic all we have to do is find two numbers that multiply to be c and add up to be b to factor the expression that is to the left of the equal sign.

By the way a quadratic expression looks like ax^2+bx+c.

So we want to find two numbers that multiply to be -6 and add up to be -1.

Those numbers are -3 and 2 since (-3)(2)=-6 and -3+2=-1.

So the factored form is:

(x-3)(x+2)=0.

Since we have a product is zero then at least one of the factors need to be zero in order for the equation to hold.

So this means we have the following two equations to solve:

x-3=0 or x+2=0

First equation we will add 3 on both sides.

Second equation we will subtract 2 on both sides.

x=3 or x=-2

Lemur [1.5K]4 years ago
5 0
(X-3)(x+2)=0

So, X=3,X= -2
X={3,-2}
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In how many ways can 15 people be divided into two groups, one group with 10 and the other with 5 people?
viktelen [127]

Answer:

Step-by-step explanation:

Given that there are 15 people and they should be divided into two groups one with 10 and the other with 5 people.

First group 10 persons can be selected from 15 in 15C10 ways.

Remaining 5 would automatically be put in group 2.

Hence no of ways = 15C5 =\frac{15!}[10!5!} \\=3003

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3 years ago
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Step-by-step explanation:

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Lin multiplies 7/8 times a number.the product is less than 7/8 . Which could be Lin’s number ?
igor_vitrenko [27]

Answer:

Any number less than 1

Step-by-step explanation:

Let x be the number Lin multiplies by 7/8. So, we have:

(7/8)*x < 7/8

We need to find the possible values for x. Lets start by dividing both sides of our inequality by (7/8) in order to get x alone on the left side.

(7/8)*x / (7/8) < (7/8)/(7/8)

Reordering:

(7/8) / (7/8) * x < (7/8)/(7/8)

As any number divided by itself (except from 0) is equal to 1:

x < 1

So, the number that Lin multiplied by 7/8 MUST be less than 1. This is evident, as any positive number multiplied by a number less than 1 will decrease, doesn't matter if its a negative or positive number.

So, such number is less than 1. Any number less than 1 could be Lin's number.

3 0
3 years ago
How does one go about calculating a logarithm?
Solnce55 [7]
Well logarithm is basically the inverse of exponentiation.
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Use the table. Make a scatter plot relating the distance of various cities from the metro area to the population of the cities.
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Option (A)

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From the table attached,

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Similarly, dependent variable 'y' will be on y-axis.

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Set of ordered pairs to be plotted,

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Therefore, graph given in Option (A) will be the answer.

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