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
yuradex [85]
3 years ago
13

Answer in factored form x^2+11x+7

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0
X² <span>+ 11x + 7

because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:

(-b </span>± √((b)² - 4ac))/(2a)

in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))

not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2

and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:

(x - (-11 - √93)/2) and (x + (-11 - √93)/2)

they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:

(x + (11 + √93)/2) (x - (11 - √93)/2)

and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
You might be interested in
Can you square root a negative number? Why or why not?
kicyunya [14]
Yes you can because you just can
5 0
3 years ago
Read 2 more answers
What is the solution to w - 9 1/2 = 15<br>24 1/2<br>6 1/2<br>23 1/2<br>5 1/2​
VladimirAG [237]

Answer:

Option A

Step-by-step explanation:

Convert mixed fraction to improper fraction.

\sf w - 9\dfrac{1}{2}=15\\\\     w - \dfrac{19}{2}=15

Now isolate 'w'

\sf w = 15 +\dfrac{19}{2}\\\\= \dfrac{15*2}{1*2}+\dfrac{19}{2}\\\\=\dfrac{30}{2}+\dfrac{19}{2}\\\\=\dfrac{30+19}{2}\\\\=\dfrac{49}{2}\\\\= 24\dfrac{1}{2}

3 0
2 years ago
Read 2 more answers
Please help, i don’t understand this at all.
zubka84 [21]
So, standard form basically takes the shape of Ax+By=C. You want all of your variables to be on the left side and your constant on the right. There can also be no fractions!

In your case, since you didn't mention a y value for y, your line is y=-3/2x+6

first we get rid of the fraction by multiplying both sides of the equation by 2:
(2)y= (-3/2x+6)(2) and get
2y=-3x+12
now all there is left to do is get x to the other side by adding it to both sides:
3x+2y=12 is your final answer
8 0
3 years ago
What's a best simple definition for a outlier in math
Marina86 [1]
A number that stands out and isn't close to any other number
8 0
3 years ago
Read 2 more answers
If the velocity of a bicycle is 10 m/s how long will it take to cover a distance of 18 km<br>​
Sergeeva-Olga [200]

Answer:

time taken=1800 seconds

Step-by-step explanation:

velocity=v=10m/s

distance=S=18km=18×10³m=18000m

t=?

as we know that

velocity=\frac{distance covered}{time taken}

velocity×time taken=distance covered

now here we have to find time

time taken=\frac{distance covered}{velocity}

time taken=\frac{18000m}{10m/s}

time taken=1800seconds

6 0
3 years ago
Other questions:
  • t's dark. You have ten grey socks and ten black socks you want to put into pairs. All socks are exactly the same except for thei
    5·2 answers
  • Three parcels weigh 2 pounds. Two parcels weigh the same. The lightest weight is 5/8 pound lighter than the heaviest weight. How
    14·1 answer
  • A machine that makes softballs can produce 30 balls per hour. In a 5 day work week of 8 hours each day, how many softballs will
    11·1 answer
  • 9. Find the value of x if
    10·1 answer
  • The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers.
    11·1 answer
  • Which is the least common multiple of 5 12 15
    13·2 answers
  • Need some help on this
    8·1 answer
  • Please help me find the answer to this, the work on it is wrong!!
    14·1 answer
  • Sydney took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.75 per mile. The total fare was $
    7·1 answer
  • How do you do question 5 I was out sick and it is due tomorrow I need help. Please.​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!