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
lianna [129]
3 years ago
13

How do I factor out a constant before factoring out a quadratic? Factor completely: 3w^2-3w-90

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0
3w^2-3w-90 =0 \ \ \:3 \\ \\w^2- w-30 =0 \\ \\a=1 , \ b= -1 , c= -30 \\ \\\Delta =b^2-4ac = (-1)^2 -4\cdot1\cdot (-30) =1+120=121 \\ \\w_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{1-\sqrt{121}}{2 }=\frac{ 1-11}{2}=\frac{-10}{2}=-5

w_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{1+\sqrt{121}}{2 }=\frac{ 1+11}{2}=\frac{12}{2}=6 \\ \\ Answer:\\ \\ w^2- w-30 =(x+5)(x-6)
 

You might be interested in
Patrick’s luck had changed over night – but not his skill at mathematical reasoning. The day after graduating from college he us
Verdich [7]

Answer:

I assume Josh and Peyton are his friends and both gave him advice on what to do with half of the money from the big lottery win.

Let's say Josh said "save it or invest it for your retirement" and Peyton said "use it to keep playing the lottery.

We will now look at the sense in each piece of advice!

Step-by-step explanation:

JOSH

By investing the $250,000 (half of the money won), Patrick will be sure that the money is available for him anytime and would even have gotten interest, by the time he's ready to use it.

PEYTON

By playing the lottery continuously, Patrick could get lucky once in a while and win big again. How big though?

Analyzing with the figures given,

$20 gets Patrick a lottery ticket.

$250,000 will get him 12,500 lottery tickets!

Whether he's buying the tickets at once or he'll play the lottery once in a while, I'll say he has good chances of winning big again.

So if the probability of winning big after purchasing up to 12,500 tickets is close to 1, Patrick should play the lottery with the $250,000

If the probability of winning big after purchasing 12,500 lottery tickets is close to 0 (closer to 0 than it is to 1) then Patrick should invest the $250,000 in retirement.

5 0
3 years ago
2.) What is the value of V78 to the nearest tenth?
DENIUS [597]

Answer:

80.

Step-by-step explanation:

When multiplying if the tenth place is " 7" then we look " next door" which is the ones and 8 is great then 5 so we count to from 8 to see when the next number ending in 0 would be in this case its 80. ( if the number is 4 or less count backwards to a number ending with 0  which in that case would have been 70 ) but the answer is 80.

4 0
3 years ago
If, in a right triangle,
Reptile [31]
Elijahlouis, I will not sure how I am going on with my friends. we will need the following
6 0
3 years ago
Let's find2. 1+5 3First write the addition with a common denominator.Then add.12— +51-4-13Х5
emmasim [6.3K]
Answer:\frac{2}{5}+\frac{1}{3}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}Explanation:

The given addition exercise is:

\frac{2}{5}+\frac{1}{3}

The LCM of the denominator (5 and 3) = 15

Multiply 2/5 by 3/3

\frac{2}{5}=\frac{2\times3}{5\times3}=\frac{6}{15}

Multiply 1/3 by 5/5

\frac{1}{3}=\frac{1\times5}{3\times5}=\frac{5}{15}

The addition becomes

\frac{6}{15}+\frac{5}{15}=\frac{11}{15}

Therefore, we can fill in the vacant boxes as shown below:

\frac{2}{5}+\frac{1}{3}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}

4 0
1 year ago
2/5 divided by 3 and 1/10
Licemer1 [7]
2/5ths divides by 3 and 1/10 is 0.129
3 0
3 years ago
Read 2 more answers
Other questions:
  • 7x²+3y²-28x-12y=-19
    10·1 answer
  • Was it evaluated correctly?<br>explain your reasoning.​
    9·1 answer
  • Two consecutive whole numbers the square root of 76 lies between
    7·1 answer
  • If 5 hotdogs and 15 hamburgers cost 29.50 and 10 hot dogs and 15 hamburgers cost 56.25. how much are the hot dogs and how much a
    5·1 answer
  • Which is the correct simplified version of the expression shown after distributing and combining like terms?
    12·1 answer
  • Which expression has a quotient of about 7?
    6·1 answer
  • 4x +7y =-14<br> X + 4y =-8
    7·1 answer
  • An initial population if 1000 starfish double each year for 4 years. What is the population after 4 years?
    13·1 answer
  • Can anyone tell me 1/3 divided by 1/9
    10·1 answer
  • Question#3<br> will give brainliest!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!