The answer is the last option (Option D), which is:
D. 25
The explanation is shown below:
1. You have that:
(a ± b)^2=a^2 <span>± 2ab + b^2
2. The expression given in the problem is:
</span><span>x^2-10x+n
Where x^2=a and 2ab=10x
2b=10
b=10/2
b=5
3. Therefore, you have:
b^2=5
b^2=25
b^2=n
n=25</span>
The value of x is 8 when y = 12 if variables x and y have proportional relationship.
According to the given question.
Variables y and x have proportional relationship.
⇒ y ∝ x
Let k be the constant of proportionality.
⇒ y = kx
Also, it is given that
y = 21 when x = 14
Substitute the value of y = 21 and x = 14 in y = kx to find the value of k.
21 = k(14)
⇒ k = 21/14
⇒ k = 3/2
Therefore, the value of x when y = 12
y = kx
⇒ 12 = (3/2)x
⇒ 12 × 2 = 3x
⇒ 24 = 3x
⇒ x = 24/3
⇒ x = 8
Hence, the value of x is 8 when y = 12.
Find out more information about proportional relationship here:
brainly.com/question/12917806
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Answer:
y=-3x+1
Step-by-step explanation:
y=mx+b
-3=m
b=-1
y=-3x+1
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Statements A, B, C, and E will all cause shift of production possibilities curve outwards. This is because:
Statement A: Training of workers will mean improved skills and knowledge. This will in turn lead to increased productivity and may lead to efficiency and thus increased production.
Statement B: Decrease in cost of production will lead to production of more goods and thus the curve will shift outwards.
Statement C: Increase in short-run aggregate supply may mean supply of more raw materials to the production thus increased productivity.
Statement D: Increase in customer spending will mean increased demand and thus leads to shifting in supply. This leads to increased production.<span />
