Answer:
Step-by-step explanation:
12x+2y=36
2y=36-12x
5x+36-12x=22
7x=14
x=2
2y=36-12(2)
2y=12
y=6
btw,next time, please do not include words like(failing ,exam,test,etc) in your question,otherwise, the question might be deleted.
Answer:
A.) 65x + 35X + 50 = 250
65x = cost of concrete per cubic yard, x is yd³
35X = cost of pouring/finishing concrete per cubic yard, X is yd³
50 = delivery cost
250 = the money you have
B.) 400 + 15n = 505
15n = amount of money you deposite per week, n is # of week
400 = some money in account after n week passed
505 = initial money in bank
C.) 1.1X - 10 = 55
55 = total cost of clothes
1.1X = tax rate where X is the undiscounted clothe cost
10 = discount
Answer:
Step-by-step explanation:
p=number of phones sold
a=number of accessories sold
10p+4a=126
c=7+a
We are given the following:
- parabola passes to both (1,0) and (0,1)
<span> - slope at x = 1 is 4 from the equation of the tangent line </span>
<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>
<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1
<span>0 = a + b + 1
a + b = -1 </span>
<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b
<span>4 = 2a + b </span>
So, we have two equations and two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>
<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
Answer:
- <em>Yes, an answer can be incorrect even it it looks reasonable.</em>
Explanation:
Yes, an answer can be incorrect even if it looks reasonable, for two main reasons:
- The assumptions (premises or statements) on which the reasoning is based are wrong.
- The reasoning sounds good but it is a fallacy.
To avoid the first condition you must be sure about the facts, which may be information from an experiment that you performed or from a source. In order for an answer be correct, make sure your premises are true.
Dealing with the second condition, a fallacy is an argument that seems strictly logical but is misleading: you must learn which reasonings are really valid; this is, that the conclusion unequivocally follows from the premises.
There are rules for the arguments to be valid, and that is the object of logic study.
Fallacies are sometimes used by those interested in supporting a point of view without having true reason on their side. You should have some knowledges about logic to avoid being victim of the fallacies, which can drive you to make wrong decisions.
