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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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Answer:

33.75

Step-by-step explanation:

12.3 -(-21.45)

12.3 + 21.45 (<em>because</em><em> </em><em>minus </em><em>of </em><em>minus </em><em>becomes</em><em> </em><em>plus)</em>

33.75

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2 years ago
the blueprint for a house has a scale of 1 cm = 3 ft. what would be the actual length of a wall that was 5 cm on the blueprint?
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3 years ago
Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the sa
Svetllana [295]

Equations b,c, and e accurately represent this statement.

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The three equation accurately represents this statement is;

4.9 x-(-3) = 12.8

3+ 4.9 x = 12.8

12.8 = 4.9 x +3

Hence, equations b,c, and e accurately represent this statement.

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6 0
2 years ago
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jeka57 [31]
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8 0
3 years ago
Read 2 more answers
Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam
Vlad [161]

Answer

P(A) = 0.30

P(B) = 0.77

P(A\ n\ B) = 0.22

P(A\ u\ B) = 0.85

Explanation:

Given

See attachment for proper data presentation

n = 100 --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

Yes = 22 and No = 8

n(A) = Yes + No

n(A) = 22 + 8

n(A) = 30

P(A) is then calculated as:

P(A) = \frac{n(A)}{Sample}

P(A) = \frac{30}{100}

P(A) = 0.30

Solving (b): P(B)

We only consider data in the Yes column.

Here:

(1) = 22    (2) = 25 and (3) = 30

n(B) = (1) + (2) + (3)

n(B) = 22 + 25 + 30

n(B) = 77

P(B) is then calculated as:

P(B) = \frac{n(B)}{Sample}

P(B) = \frac{77}{100}

P(B) = 0.77

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

n(A\ n\ B) = 22

The probability is then calculated as:

P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}

P(A\ n\ B) = \frac{22}{100}

P(A\ n\ B) = 0.22

Solving (d): P(A u B)

This is calculated as:

P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)

This gives:

P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}

Take LCM

P(A\ u\ B) = \frac{30+77-22}{100}

P(A\ u\ B) = \frac{85}{100}

P(A\ u\ B) = 0.85

7 0
3 years ago
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