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photoshop1234 [79]
3 years ago
12

Solve the following equation using the distributive property.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0

Step-by-step explanation:

41.4 = 3.6(x + 4.5)

=> 41.4 = 3.6x + 3.6(4.5)

=> 41.4 = 3.6x + 16.2

=> 3.6x = 41.4 - 16.2 = 25.2

=> x =  \frac{25.2}{3.6}  = 7

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Answer:

B

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Step-by-step explanation:

The second image.

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3 years ago
Find the discriminant for the following equation 3x^2+4x=2
hichkok12 [17]

Answer:

The discriminant is 40

Step-by-step explanation:

First, rewrite the equation as 3x^2+4x-2=0 so that the equation is in the form of ax^2+bx+c=0. Thus, the discriminant is b^2-4ac=(4)^2-4(3)(-2)=16+24=40. This tells us that since the discriminant is greater than 0, then there are 2 real solutions.

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2 years ago
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A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He
Dimas [21]

Answer:

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7 0
3 years ago
This probability distribution shows the typical distribution of pitches thrown to a batter in a given at bat in a baseball game.
Vikki [24]

Answer:

0.35

Step-by-step explanation:

This probability distribution is shown below:

Pitch                   1            2        3          4         5

Frequency         15         20      40        15        10

Probability         0.15     0.2      0.4      0.15      0.1

The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)

X  is the number of pitches thrown. Therefore:

P(X < 3) = P(X = 1) or P(X = 2)

The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.

P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35

The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35

8 0
3 years ago
Create a table and graph the equation y =2x-2
soldi70 [24.7K]

Table:

x  0,1

y  -2,0

Graph is the attached image.

7 0
3 years ago
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