1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexgriva [62]
3 years ago
9

HELP ME!!! ITS DUE TOMMOROW!! Find the largest value of $r$ such that $6r^2+7r+8=6$.

Mathematics
2 answers:
lozanna [386]3 years ago
6 0
6r^{2}+7r+8=6\\\\6r^{2}+7r+2=0\\\\(3x+2)(2x+1)=0\\\\ 3x+2=0\\\\3x=-2\\\\x=\frac{-2}{3}\\\\2x+1=0\\\\2x=-1\\\\x=\frac{-1}{2}

Since r = -2/3 and r = -1/2, the answer is -1/2 because it is larger than -2/3.
Alex787 [66]3 years ago
4 0
First you need to see that this is a quadratic. I need.to put all of the values on one side of equation to see what I got.
6r^2 + 7r + 8 = 6
6r^2 + 7r + 2 = 0

Now this one is difficult to factor so i will use quadratic equation:
[-b (+-) sqrt (b^2 - 4ac)] / (2a)

we know that a b and c are in a quadratic at these positions.
ax^2 + bx + c

so
[-7 (+-) sqrt (7^2 -(4)(6)(2)] / (2) (6)
[-7 (+-) sqrt (49 - 48)] / 12
[-7 (+-) 1] /12

split into the + and - for 2 answers
(-7 + 1) / 12
-6/12
-1/2

And
(-7 -1) /12
-8 / 12
-2/3

those are.the 2 answers

But but it says largest so -1/2
You might be interested in
What interest rate, to the nearest tenth of a percent, that is required for an investment subject to continuous compounding to i
Sunny_sXe [5.5K]

Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

X(t) = Pe^{rt}

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

5 0
3 years ago
NEED HELP ASAP!! THIS IS DUE UNDER 10 MIN! GIVING BRAINLEST (My Brainlest is giving 100 extra points)
laila [671]

Answer:A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Using the system below, find the maximum value using the given f(x,y) function
natulia [17]

Answer:

maxuin 10

Step-by-step explanation:

5 0
3 years ago
Syria has the 5 apps on her phone wich is 3 less than twice the amount the Khary has. How many apps does Khary have?
jek_recluse [69]
She has 7 apps on her phone
3 0
3 years ago
PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
marissa [1.9K]

Answer:

53°

Step-by-step explanation:

It is given that the total measurement of the two angles combined would equate to 116°.

It is also given that m∠WXY is 10° more then m∠ZXY.

Set the system of equation:

m∠1 + m∠2 = 116°

m∠1 = m∠2 + 10°

First, plug in "m∠2 + 10" for m∠1 in the first equation:

m∠1 + m∠2 = 116°

(m∠2 + 10) + m∠2 = 116°

Simplify. Combine like terms:

2(m∠2) + 10 = 116

Next, isolate the <em>variable</em>, m∠2. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10 from both sides of the equation:

2(m∠2) + 10 (-10) = 116 (-10)

2(m∠2) = 116 - 10

2(m∠2) = 106

Next, divide 2 from both sides of the equation:

(2(m∠2))/2 = (106)/2

m∠2 = 106/2 = 53°

53° is your answer.

~

8 0
3 years ago
Read 2 more answers
Other questions:
  • Please answer this question now
    15·1 answer
  • At a party, everyone shook hands with everybody else. There were 66 handshakes in total. How many people were at the party?
    7·2 answers
  • The density of a certain material is such
    11·1 answer
  • Very confused. Will give 40pts.
    13·1 answer
  • Use the following image to find each of the missing angles. Can someone help me please
    13·1 answer
  • Help pleaseeeee asapppp!
    9·2 answers
  • I would really like some help with this. If anyone is able to help me.
    7·1 answer
  • Piano lessons cost 30 dollars for 3/4 hour how much for an hour
    10·1 answer
  • Is (x-2) a factor of 2x^4 - 3x^3 +4x^2 + x +2?
    5·1 answer
  • How many groups of 1/3 are in 9
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!