Answer: x>5
Step-by-step explanation: The Absolute Value term is |4x+6|
For the Negative case, we'll use -(4x+6)
For the Positive case, we'll use (4x+6)
-(4x+6) = 14
Multiply
-4x-6 = 14
Rearrange and Add up
-4x = 20
Divide both sides by 4
-x = 5
Multiply both sides by (-1)
x = -5
Which is the solution for the Negative Case
(4x+6) = 14
Rearrange and Add up
4x = 8
Divide both sides by 4
x = 2
x=-5
x=2
Answer:
6 Chickens
Step-by-step explanation:
Let H represent the number of horses and C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:
2C + 4 H = 32 (Eq. 1)
Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:
C + H = 11 (Eq. 2)
From Eq. 2, solve for the number of chickens:
C + H = 11
C = 11 - H (Eq. 3)
Substituting Eq. 3 in Eq. 1, the number of horses can be determined:
2 C + 4 H = 32
2 ( 11 − H ) + 4 H = 32
22 − 2 H + 4 H = 32
2H = 32 − 22
2 H = 10
H = 5 Eq.4
Putting Eq.4 in Eq.1
2C + 4*5 = 32
2C = 32 - 20
2C = 12
C = 12/2
C = 6
15% of 30 = 4.5
30% of 45= 13.5
60% of 7= 4.2
23% of 20= 4.6
Following are the dependent variables:
<em>1. The amount of water that each orchard receives.</em>
<em>2. The species of trees in the orchard.</em>
Reason:
The exercise scientist is looking for the effects of a chemical between an apple crop to which it is administered and another to which it is not, 4 options are presented, of which it is essential to count as a variable the amount of water each Orchard and tree species in the orchard, since they can generate alterations in the results, the other two variables of the exercise such as number of apples and size of the orchards are not significant and their variations do not affect the scientist's objective.
Learn more about Dependent Variable on:
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The answer would be 8! This is because there were already five and then Jason got in, so six, and then two friends got in as well, so six plus two is eight!
