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lesya692 [45]
3 years ago
12

Solve for x. x2 + x - 6 = 0 A. -2, -3 B. -2, 3 C. 2, -3 D. 2, 3

Mathematics
2 answers:
stiv31 [10]3 years ago
5 0

Factor x^2 + x - 6

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

Solve for x

Ask yourself; When will (x - 2)(x + 3) equal zero?

When x - 2 = 0 or x + 3 = 0

Then solve for each of the two equations above

<em>x = 2, -3</em>

<u>Answer: C. 2, -3</u>

Nonamiya [84]3 years ago
5 0

Answer:

C. 2, -3

Step-by-step explanation:

x^2 + x - 6 = 0

Factor

What 2 numbers multiply to -6 and add to 1

3*-2 =6

3-2 =1

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

Using the zero product property

x+3 = 0        x-2 =0

x+3-3= 0-3    x-2+2 =0+2

x = -3      x =2

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True

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Match the new coordinates that define the figure after dilation with a center at the origin by the given scale factor.
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7 0
2 years ago
2x+8y = 6<br> 15x + 20y = 15
Likurg_2 [28]

Answer:

The solution is (0, 3/4)

Step-by-step explanation:

Please copy and share the instructions.  Here they are:  Solve the following system of linear equations.

Both of the equations can be reduced (simplified):

2x+8y = 6            =>  x + 4y = 3

15x + 20y = 15     => 3x + 4y = 3

Let's use the elimination by addition and subtraction method.  Multiply the first equation by -1, obtaining

                                 -x - 4y = -3

Add the second       3x + 4y = 3

equation to the

first.

We get:                       2x = 0.

Thus, x = 0.  Substituting 0 for x in the 1st original equation yields:

2(0) + 8y = 6.  Then y = 6/8, or y = 3/4.

The solution is (0, 3/4).

4 0
3 years ago
write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"
TEA [102]

Answer:

y = - \frac{1}{3} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{3} , then

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

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8 0
2 years ago
Find the interquartile range (IQR) of the data in the dot plot below. chocolate chips 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10
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*The dot plot is shown in the attachment below

Answer:

2

Step-by-step explanation:

Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).

First, let's write out each value given in the data. Each dot represents a data point.

We have:

2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

=>Find the median:

Our median is the middle value. The middle value is the 6th value = 4

==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.

2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7

Our upper median = 5

==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.

2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7

Lower median = 3

==>Interquartile range = Q3 - Q1 = 5-3 = 2

3 0
3 years ago
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