7 parentheses 3x + 8 parentheses

Answers

Answer 1

Answer: What are we looking for here? Are we looking for x or trying to figure out the answer?

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the room charge for a hotel is 230$ each day. the estevez family spends 4 days on vacation at the hotel . at the end of their stay they leave a 10% tip of the total room bill for the person who cleans their room. how much is the total bill including the tip for the person who cleans the room? explain

Answers

It's 230 per day and they spend 4 days so multiply 230 × 4 = 920

920 is the room charge. Now multiply 920 × 10% for the tip.

920× .10 = 92 that's the top

Add the tip to the room charge

920 + 92 = $1,012

10% of 230 is 23 so
230
+23 =
253
hope i helped:)

Can some one tell me what the answer is.

Answers

Answer:

Step-by-step explanation:

We know that all of the ages are 7 apart so we don't need to mess with that.

Since Ed's age is 3/2 times Ted's age, we can make an equation.

Ted = t

Ed = e

e = 3/2t

Now we can just substitute and see if it checks out.

21 = 1.5 * 14

And since they are equal B is the answer.

Its colder than -2 outside as an inequality

Answers

Brr! That's cold!

If it's colder than -2 degrees outside, then doesn't that mean it's less than -2 degrees? What is the less than sign? <!

We're going to use "O" to stand for outside. If O is < -2 degrees, wouldn't your inequality be O<-2? ;) There's your answer!

How to write 2.6 in word form

Answers

two - point six

is the answer

The answer you are looking for is "Two and six tenths".

The reason this is, is because 2 is left of the decimal, which makes it "two". Since 6 is to right of the decimal, you have to look at how far it is from the decimal. It being directly after the decimal, it is in the tenths place, making it six tenths. Thus meaning the answer is two and six tenths.

I hope this helps!

90+27 I need help with this

Answers

Answer:

117 is your answer.

Answer:117

Step-by-step explanation:

Find the coordinates of the stationary points on each curve(in each equation).1.y=x^2+2x

2.y=4x^3+3x^2+2

3.y=2x+3+8/x

4.y=x^3-9x^2-21x+11

5.y=9x^2/3-2x+5

Please provide full working out, thanks.

Answers

1)
y=x²+2x

we have to calculate the first derived

y´=2x+2

we equal to "0" the first derived and find out the value of "X"
2x+2=0
x=-2/2=-1

we have to calculate de second derived
y´´=2>0 ⇒we have a minimun at x=-1

we calculate y
y=(-1)²+2(-1)=1-2=-1

Answer: we have a minimum at (-1,-1)

2)
y=4x³+3x²+2
we have to calculate the first derived

y´=12x²+6x

we equalize to "0" the first derived and find out the value of "X"
12x²+6x=0
6x(2x+1)=0

6x=0 ⇒x=0
2x+1=0 ⇒x=-1/2

we have to calculate de second derived
y´´=24x+6

y``(0)=24(0)+6=6 >0 ⇒we have a minimun at x=0
y``(-1/2)=24(-1/2)+6=-12+6=-6 ⇒we have a maximum at x=-1/2

we calculate y
if x=0, y=2
if x=-1/2; y=4(-1/2)³+3(-1/2)²+2=9/4.

we have to equalize the second derived to "0" and find out the value of "x"
24x+6=0
x=-6/24=-1/4; in x=-1/4 we have an inflection point.

y=4(-1/4)³+3(-1/4)²+2=31/16

Answer: we have a minimum at (0,2), a maximum at (-1/2, 9/4) and a inflection point at (-1/4, 31/16).

3.
y=2x+3+8/x
y=(2x²+3x+8)/ x

we have to calculate the first derived

y´= [(4x+3)x-(2x²+3x+8)] / x²=(4x²+3x-2x²-3x-8) / x²=(2x²-8)/x²

we equal to "0" the first derived and find out the value of "X"
(2x²-8) / x²=0
2x²-8=0
x=⁺₋2

we have to calculate de second derived
y´´=[(4x)x²-2x(2x²-8)] / x⁴=(4x³-4x³+16x)/x⁴)=16/x³
y``(-2)=16/(-2)³=-2>0 ⇒ at x=-2 exist a maximum
y´´(2)=16/(2)³=2<0 ⇒ at x=2 exist a minimum

we calculate y
y(-2)=-4+3-4=-5
y(2)=4+3+4=11

Answer: we have a maximum at (-2,-5 ) and a minimun at (2,11)

4)
y=x³-9x²-21x+11

we have to calculate the first derived

y´=3x²-18x-21

we equal to "0" the first derived and find out the value of "X"
3x²-18x-21=0
x²-6x-7=0
x=[6⁺₋√(36+28)]/2=(6⁺₋8)/2
x₁=-1
x₂=7

we have to calculate de second derived
y´´=6x-18
y``(-1)=-6-18=-24<0 ⇒at x=-1 exist a maximum
y´´(7)=42-18=24>0 ⇒ at x=7 exist a minimum.

we calculate y
y(-1)=-1-9+21+11=22
y(7)=343-441-147+11=-234

We equalize the second derive to 0, and find out the value of "x"
6x-18=0
x=3 in x=3 exist an inflection point

y=27-81-63+11=-106
Answer: we have a minimum at (7,-234), a maximum at (-1,22) and an inflection point at (3,-106).

5)
y=9x²/³-2x+5

we have to calculate the first derived

y´=6x⁻¹/³-2

we equal to "0" the first derived and find out the value of "X"
6x⁻¹/³-2=0
x⁻¹/³=1/3
x¹/³=3
x=27

we have to calculate de second derived
y´´=-2x^(-4/3)
y´´(27)=-0.024<0 ⇒ at x=27 exist a maximum
we calculate y
y=32

Answer: we have a maximum at (27,32)

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