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
mariarad [96]
2 years ago
5

Solve the following quadratic equation by rearranging and then factorising x^2 + 3x - 15 = 2x - 13

Mathematics
2 answers:
Whitepunk [10]2 years ago
8 0

Answer:

x = -2   & x = 1

Step-by-step explanation:

x^2 + 3x - 15 = 2x - 13 so you takeaway 2x and add 13 to the other side to get x^2 + x - 2 = 0

(x+2)(x-1) = 0 find factors of -2 that get you x

(x+2) = 0 so x = -2       (x-1) = 0  so x = 1

NNADVOKAT [17]2 years ago
7 0

Step-by-step explanation:

x² + 3x - 15 = 2x - 13

x² + x - 2 = 0

(x + 2)(x - 1) = 0

By zero product rule, (x + 2) = 0 or (x - 1) = 0.

Hence x = -2 or x = 1.

You might be interested in
A similar follow-up study is done on a sample of 25 meat-lovers who never eat vegetables, again randomly selected from the same
Alona [7]

Answer:

The lower limit is  75.04

The upper  limit is  78.96

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 25

   The sample mean is  \=  x  =  77

    The standard deviation is  \sigma  =  5

Given that the confidence level is 95%  then the level of significance is mathematically represented as

        \alpha =  (100  - 95)\%

         \alpha = 0.05

The critical value for  \frac{\alpha }{2} obtained from the normal distribution table is  

     Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

       E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>   E =  1.96*  \frac{5 }{\sqrt{25} }

=>    E = 1.96

The 95% confidence interval is mathematically represented as

        \= x  -E <  \mu <  \= x  +E

=>   77 -  1.96  <  \mu < 77 +  1.96

=>   75.04 <  \mu < 78.96

   

7 0
2 years ago
Someone please help me with this :,D
german

Answer:

A hostel has provision for 45 students for 30 days.If 15 more students joined the hostel after 6 days,how long will provision last?

6 0
3 years ago
Read 2 more answers
What is 110% of 90 as a fraction
Vlad1618 [11]
110% of 90 is:
90*1.10 = 99

5 0
3 years ago
Read 2 more answers
If 3 workers can paint a room in 2 hours, then approximately how long does it take 4 workers to paint the same room? Assume the
Olin [163]

It takes 1.5 hours for 4 workers to paint the same room

<em><u>Solution:</u></em>

Given that 3 workers can paint a room in 2 hours

To find: Time taken for 4 workers to paint the same room

Assume the time needed to paint the room is inversely proportional to the number of worker

time $ \propto \frac{1}{\text { number of workers }}\\\\time =k \times \frac{1}{\text { number of workers }}

Where, "k" is the constant of proportionality

<em><u>3 workers can paint a room in 2 hours</u></em>

Substitute number of workers = 3 and time = 2 hours

time =k \times \frac{1}{\text { number of workers }}\\\\2 = k \times \frac{1}{3}\\\\k = 6

Therefore,

\text {time}=6 \times \frac{1}{\text { number of workers }}

To find time taken for 4 workers to paint the same room, substitute number of workers = 4 in above expression

time = 6 \times \frac{1}{4} = 1.5

Thus it takes 1.5 hours for 4 workers to paint the same room

6 0
3 years ago
Read 2 more answers
30 movies were rented by 5 people. This is the same ratio as 3 people renting ___ movies.
fomenos
3 people rent 18 movies altogether. I person would rent 6 movies
6 0
3 years ago
Read 2 more answers
Other questions:
  • Kerry cut an 8 foot long board into 6 pieces that are equal in length. Represent this problem as a fraction
    5·2 answers
  • On circle OOO below, \overline{SE} SE start overline, S, E, end overline is a diameter. What is the measure of \angle ISE∠ISEang
    14·1 answer
  • Ivan rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 87 cents for each mile dr
    6·2 answers
  • There are 1,505 pieces of fruit for sale at a farmers market. 39% of them are apples 28% are oranges 13% are honeydew melons and
    9·1 answer
  • An isosceles triangle has a hypotenuse that measures 12√2. What is the area of that triangle
    6·1 answer
  • Use the binomial theorem to expand (d-4b)^3 <br>Please explain.
    13·1 answer
  • Factor out the GCF from the terms of the polynomial −2x5 − 6x3 − 16x2.
    10·1 answer
  • Find the volume of cylinder<br> Diameter of base is 11 cm<br> Height of cylinder is 16cm
    14·1 answer
  • Solve for f(3) given f(x)= -4x + 5*<br> (10 Points)
    10·1 answer
  • A ​270 $ suit is marked down by ​%.20 Find the sale price.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!