Answer:
46°
Step-by-step explanation:
arcsin(5/7)
Answer:
![x < 4](https://tex.z-dn.net/?f=x%20%3C%204)
Step-by-step explanation:
In order to isolate the variable in this linear inequality, we need to get rid of the coefficient that multiplies it.
This can be accomplished if both sides are divided by 3.
3x /3 = 0x
12 /3 = 4
So the asnwer is x = 4 (don't forget the less than sign)
ANSWER = x < 4
Answer: 144-4x=112 she missed 8 questions
Step-by-step explanation: Since there are 144 points in total and each question is worth four points you would subtract 4x with x being the number of questions missed from the total amount and set it equal to 112. Then you solve for x which gives you 8. Hope this helps. :)
Answer:
The absolute minimum value is "
" and the absolute maximum value is "
".
Step-by-step explanation:
Given:
![f(x)=x^2-x-5](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-x-5)
on,
![[0,5]](https://tex.z-dn.net/?f=%5B0%2C5%5D)
By differentiating it, we get
⇒ ![f'(x)=2x-1](https://tex.z-dn.net/?f=f%27%28x%29%3D2x-1)
Set ![f'(x)=0](https://tex.z-dn.net/?f=f%27%28x%29%3D0)
then,
⇒ ![2x-1=0](https://tex.z-dn.net/?f=2x-1%3D0)
![2x=1](https://tex.z-dn.net/?f=2x%3D1)
(Critical point)
When x=0,
⇒ ![f(x)=-5](https://tex.z-dn.net/?f=f%28x%29%3D-5)
When
,
⇒
(Absolute minimum)
When ![x=5](https://tex.z-dn.net/?f=x%3D5)
⇒
(Absolute maximum)
Neither P, nor A are on the sketch
I guess P is the upper right corner of the rectangle
and A=(0,1)
P belongs to the line going through (1,0) and B(0,y)
<span>but we don't know the y-coordinate of B </span>
<span>the triangle is right and isosceles, so pythagoras a²+a²=2² ... 2a²=4 ... a²=2 ... a=sqrt2 </span>
now look at the right triangle BOA
<span>his hypotenuse is AB=sqrt2 and the <span>the kathete</span> OA is 1 </span>
so y²+1²=(sqrt2)² ... y²+1=2 ... y²=1.. y=1
so the coordinates of B are (0,1)
the line going through (1,0) and (0,1) is L(x)=-x+1
P belongs to this line, so the coordinates of P are P(x,-x+1) (0<x<1)
b) so if that's P, the height of the rectangle is -x+1 and the width=2x
<span>so its area A(x)=2x*(-x+1)= -2x²+2x
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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