What are the solutions to the equation f(x)= g(x)?

Mathematics

1 answer:

PIT_PIT [208]3 years ago

8 0

Answer:

2 solutions

Step-by-step explanation:

We are given the equations of f(x) and g(x).

To find f(x) = g(x), we just let those two equations equal each other

$x^{2} -4x+5=x+1$

Group all like terms,

$x^{2} -3x+4=0$

Factorise,

$(x-4)(x+1)=0$

$x=4, x=-1$

Therefore, there are two solutions

Hope this helped!!

You might be interested in

PLS HELP With GEO FOR 50 PTS!!!!!

zaharov [31]

Without doing the math, you can can see that the 100ft marker is about 1/3rd of the bottom(combining the triangle and the rectangle) This floor is practically(if not exactly) the same length of each vertical side of the building.

"100 x 3" is 300, So I am pretty sure the answer is 308.

Good luck!

-RxL

6 0

3 years ago

How should the decimal point in 34.05 be moved to determine the product 34.05×106 ?

r-ruslan [8.4K]

Answer: Six places to the right

Step-by-step explanation:

For this exercise it is important to remember that. by definition, the exponent of a number indicates the number of times you must use the same factor to multiply.

Given:

$b^n$

"b" is the base and "n" is the exponent.

In this case, you have the following multiplication provided in the exercise:

$34.05*10^6$

Notice that the base 10 has an exponent 6. This indicates the following:

$10^6=10*10*10*10*10*10=1,000,000$

By definition, moving the decimal point 6 places to the right (because there are six zeros), is the same as multiplying the decimal number 34.05 by 1,000,000.

Therefore, based on the explained, when you move the decimal point six places to the right, you get the following product.

$34.05*10^6=34,050,000$