Answer:
<h2>(0.3, -18.45).</h2>
Step-by-step explanation:
We need to recur to the extreme value theorem, which states: "If a function is continuous on a closed interval, then that function has a maximum and a minimum inside that interval".
Basically, as the theorem states, if a dunction is continuous, then it has maxium or minium.
In this case, we have a quadratic function, which is a parabola. An important characteristic of parabolas is that they have a maximum or a minium, but they don't have both. When the quadratic term of the fuction is positive, then it has a minium at its vertex. When the quadratic term of the function is negative, then it has a maximum at its vertex.
So, the given function is 
, where the quadratic term is positive, so the functions has a minimum at 
, where 
and 
, let's find that point
<h3>
</h3><h3>
</h3><h3 /><h3>Therefore, the minium of the function is at (0.3, -18.45).</h3>
If you want to calculate 5*(a-4) - 8*a = 55, you
have to do few steps to get to know the value of the a.
5*a - 20 - 8*a = 55
-3*a = 55 + 20
-3*a = 75 /(-3)
a = - 25
The correct result and the value of the a is -25.
Answer:216
Step-by-step explanation:I think, I dont know. Sorry if you get it wrong. :c
Answer:
RPQ = 239°
Step-by-step explanation:
Since SP is a straight line going through the center of a circle, it is a diameter.
We can say that m<SOR and m<ROP are supplementary and add up to 180° because they form a straight line. We can set up an equation:
m<SOR + m<ROP = 180°
We can substitute in the value of m<SOR:
31° + m<ROP = 180°
m<ROP = 149°
Next, we can also say that m<SOQ and m<QOP are supplementary because they form a straight line. Also, since QO is perpendicular to SP, we can say that both m<SOQ and m<QOP equal to 90°.
Now, we can say that m<ROQ (reflex angle) is equal to the sum of m<QOP and m<ROP from angle addition postulate. We can write the equation:
m<ROQ = m<QOP + m<ROP
m<ROQ = 90° + 149° = 239°
The reflex angle <ROQ cuts the arc RPQ, so they would have the same measure. So, arc RPQ = 239°
Answer:
40%
Step-by-step explanation:
The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 by every 200 units and so on. To make this even more clear, we will get into an example using the percent increase formula in the next section.
