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
GarryVolchara [31]
3 years ago
5

16x2 + 10x – 27 = -6x + 5 What are the solutions to this equation ? X x=

Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

x=-2              x=1

Step-by-step explanation:

16x2 + 10x – 27 = -6x + 5

Add 6x to each side

16x^2+6x + 10x – 27 = -6x+6x + 5

16x^2 +16x -27 = 5

Subtract 5 from each side

16x^2 + 16x – 27-5 = 5 - 5

16x^2 +16x -32 = 0

Factor out 16

16 (x^2 +x-2)=0

Factor

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

Using the zero product property

  (x+2) =0     x-1=0

x=-2              x=1

You might be interested in
Exercise 7.3.5 The following is a Markov (migration) matrix for three locations        1 5 1 5 2 5 2 5 2 5 1 5 2 5 2 5 2
fredd [130]

Answer:

Both get the same results that is,

\left[\begin{array}{ccc}140\\160\\200\end{array}\right]

Step-by-step explanation:

Given :

\bf M=\left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]

and initial population,

\bf P=\left[\begin{array}{ccc}130\\300\\70\end{array}\right]

a) - After two times, we will find in each position.

P_2=[P].[M]^2=[P].[M].[M]

M^2=\left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]\times \left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]

     =\frac{1}{25} \left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right]

\therefore\;\;\;\;\;\;\;\;\;\;\;P_2=\left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right] \times\left[\begin{array}{ccc}130\\300\\70\end{array}\right] = \left[\begin{array}{ccc}140\\160\\200\end{array}\right]

b) - With in migration process, 500 people are numbered. There will be after a long time,

After\;inifinite\;period=[M]^n.[P]

Then,\;we\;get\;the\;same\;result\;if\;we\;measure [M]^n=\frac{1}{25} \left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right]

                                   =\left[\begin{array}{ccc}140\\160\\200\end{array}\right]

4 0
3 years ago
Find a consecutive odd numbers where the sum of the first three numbers is 15 greater then the final two numbers.
xenn [34]

Answer:

15, 17, 19

Step-by-step explanation:

x + x+2 + x+4 = 15 + (x+2 + x+4)

3x + 6 = 15 + 2x + 21

x = 15

x+2 = 17

x+4 = 19

4 0
3 years ago
Write an equation of the line that passes through the point (1,3) and has a slope of -2
jek_recluse [69]

Answer:

y= -2x+1

Step-by-step explanation:

y=mx+b

y= -2x +b

3= -2(1) +b

3= -2 +b

b=1

y= -2x+1

4 0
2 years ago
Evaluate using distributive property -7/3*5/9+13/3+4/9*-7/3
andre [41]
-7/3*5/9+13/3+4/9*-7/3=2
6 0
2 years ago
Negative 3 and a half divided by ​negative 5 over 8
Art [367]

Answer:

12/5

Step-by-step explanation:

-3/2 ÷ -5/8 =

-3/2 x 8/-5 =

-24/-10 =

12/5

7 0
2 years ago
Other questions:
  • If x=3 then x^2=9 what is the inverse
    7·1 answer
  • What is the simplified expression for (9^3)^5<br><br> 9^5<br> 9^8<br> 9^2<br> 9^15
    8·2 answers
  • the number of songs that can fit on a hard drive depends on its storage space. plot the ordered pairs from the table. is the num
    7·2 answers
  • Not sure how to complete this, info is in the photo.
    15·1 answer
  • What is 1 5/12+4 6/1
    5·1 answer
  • A map of a park has no scale. The distance between the campground and the entrance station on the map is 2 inches. The actual di
    14·2 answers
  • ANOTHER DIFFICULT ONE!...for me..
    8·1 answer
  • A quadratic polynomial which has zeros at -7 and 5. ?
    6·1 answer
  • 1.27 as a simplest form
    15·1 answer
  • Does someone know this? help me pls!!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!