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
egoroff_w [7]
3 years ago
5

46. use any method to find the point of intersection of f(x) = 3x − 5 and g(x) = −4x + 9.

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0
X would equal 2 in this problem
You might be interested in
Drag the tiles to the boxes to form correct pairs.
FrozenT [24]

Answer:

1 .4x2-9= 2x+3,2x-3

2 .16x2-1=4x-1,4x+1

3 .16x2-4=4(2x+1)(2x-1)

4 .4x2-1=(2x+1)(2x-1)

Step-by-step explanation:

16x² − 1  = (4x − 1)(4x + 1) ;  16x² − 4  = 4(2x + 1)(2x − 1); 4x² − 1  = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1  is the difference of squares.  This is because 16x² is a perfect square, as is 1.  To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares.  The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2).  However, we can also factor a 2 out of each of these binomials; this gives us

2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)

4x² − 1  is also the difference of squares.  The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares.  The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

3 0
3 years ago
Directions:Use the product rule to simplify the following monomials.
nadezda [96]

Answer: -12m^3n^3

Step-by-step explanation:

\frac{1}{4}\left(8mn\right)\left(-6m^2n^2\right)

=-\frac{1}{4}\cdot \:8mn\cdot \:6m^2n^2

=-\frac{1}{4}\cdot \:48mnm^2n^2

=-\frac{1}{4}\cdot \:48m^3nn^2

-\frac{1}{4}\cdot \:48m^3n^3

=-12m^3n^3

6 0
3 years ago
Solve x2 – 10x + 25 = 35 for x.
Galina-37 [17]

x^2-10x+25=35\\\\x^2-2\cdot5\cdot x + 5^2=35\ \ \ |\text{use:}\ (a-b)^2=a^2-2ab+b^2\\\\(x-5)^2=35\to x-5=\pm\sqrt{35}\ \ \ |+5\\\\\boxed{x=5-\sqrt{35}\ \vee\ x=5+\sqrt{35}}


\text{other method}\\\\x^2-10x+25=35\\\\x^2-5x-5x+25=35\\\\x(x-5)-5(x-5)=35\\\\(x-5)(x-5)=35\\\\(x-5)^2=35\\.....

3 0
4 years ago
Find the value of p for which the given pair of linear equations have infinitely many solutions for 4X + 3 Y - 4 is equals to ze
tino4ka555 [31]

Answer:

x=8/3

y= -20/9

Step-by-step explanation:

4X + 3Y -4 =0

Linear egquations must in

x + y = 0

so 4X + 3Y =4

THEN

3X + 9Y = - 12

next use calculator to solve it or you can use traditional way

4 0
4 years ago
How are you today? <br>Take some time to reflect on your day! <br>Have a great day!
PolarNik [594]

Answer:

I am good!

Step-by-step explanation:

Have a fantastic day!

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the remainder when (x3 − 7x2 − 18x + 42) is divided by (x + 3)?
    14·2 answers
  • Which point is an x-intercept of the quadratic function<br> f(x) = (x – 8)(x + 9)?
    12·1 answer
  • Strawberries are $3.50 per pound. you bought $18.25 worth of strawberries (X=?)
    11·1 answer
  • Write the following radical expression as a rational exponent: (∛m4)8. Write your rational exponent in simplest form.
    11·1 answer
  • Question 7
    12·1 answer
  • How do I find the exact area of a circle with a diameter
    7·2 answers
  • Look at the picture please don’t guess
    10·1 answer
  • The coordinates of the vertices of AHKM are H(3, -2),
    8·1 answer
  • Which expression is equivalent to?
    12·1 answer
  • What is the solution set of the following system of<br> equations?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!