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WINSTONCH [101]
3 years ago
12

Write -72=2y^2-16y-20x in standard form

Mathematics
2 answers:
zzz [600]3 years ago
8 0

y = √ 10 ( x − 2 )

y = − √ 10 ( x − 2)+ 4 + 4

kifflom [539]3 years ago
5 0

Answer:

-72=-12y-20x

Step-by-step explanation:

-72=2y^2-16y-20x

square the 2 keeping the variable

-72=4y-16y-20x

Then combine like terms in this case the numbers followed by y's

-72=-12y-20x

This is the standard form as there is nothing else you can combine to break this down any further

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Plz help!
beks73 [17]

First, you need to find the derivative of this function.  This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.  

f'(x)=3x^2-3

Now, set this function equal to 0 to find x-values of the relative max and min.

0=3x^2-3

0=3(x^2-1)

0=3(x+1)(x-1)

x=-1, 1

To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each.  We will use -2, 0, 2.

f'(-2)=3(-2)^2-3=3(4)-3=12-3=9

f'(0)=3(0)^2-3=3(0)-3=0-3=-3

f'(2)=3(2)^2=3(4)-3=12-3=9

We examine the sign changes to determine whether it is a max or a min.  If the sign goes from + to -, then it is a maximum.  If it goes from - to +, it is a minimum.  Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.

To determine the values of the relative max and min, plug in the x-values to f(x).

f(-1)=(-1)^3-3(-1)+1=-1+3+1=3

f(1)=(1)^3-3(1)+1=1-3+1=-1

Hope this helps!!

7 0
3 years ago
Which of the following functions is not linear?
Marrrta [24]

Answer:

<h2>D. y = 8x² + 8x + 4</h2>

Step-by-step explanation:

The equation of a linear function is in form:

y=mx+b

We have:

\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}

\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}

\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}

\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}

3 0
3 years ago
1) A dog runs from one side of a park to the other. The park is 80.0 meters across. The dog takes 16.0 seconds to cross the park
irina1246 [14]
All you really have to do is divide 80.0 by 16.0 


80.0 divided by 16.0= 5


so 5 is your answer!
7 0
3 years ago
Read 2 more answers
Given that PS is a median of triangle PQR, find RQ<br> A.6<br> B.12<br> C.19<br> D.38
Zinaida [17]
The median triangle is a line segment that connects the vertex and the midpoint of the opposite side. Therefore, in the given, we can say that RS = QS

Equating RS and QS, we will find the value of X

RS = QS 
5x-11 = 2x+7
5x-2x = 7+11    ⇒ combine like terms
3x = 18             ⇒ divide both sides by 3 to get the x value 
x = 6

Find the value of RS and QS, in this, we will show that two are equal

5(6)-11 = 2(6)+7
19 = 19  ⇒ correct

Therefore RQ is the sum of RS and QS or simply twice the length of either segment

RQ = 19 x 2 = 19 + 19 = 38 (D)
5 0
2 years ago
Please say which goes where.. 20 POINTS!!
Alisiya [41]
16 divided by 14, 1/7 times 8, and 16/14 goes under 8/7. 14/16, 1/16 times 14, 7 divided by 8 go under 7/8

8 0
2 years ago
Read 2 more answers
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