If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

Mathematics

1 answer:

agasfer [191]2 years ago

5 0

Answer:

-2

Step-by-step explanation:

-3(2)+4

-6+4

-2

You might be interested in

3m to the power of 2= 222<br> What is the value of m?

Alecsey [184]

Answer:

if it is 3m^2 then √74 if you meant (3m)^2 it is √74/3

Step-by-step explanation:

if the first then you divide 3 from both sides thus getting m^2= 74, and you get m=√74, if second then you get 9m^2 and you divide 9 from both sides and get m^2 = 2.4(8) and you square that to get √74/3

8 0

2 years ago

Four rectangles are shown in the diagram. For which pair of rectangles is the ratio of the side lengths 1:3?

kondor19780726 [428]

The answer is B. because it is 6:9 which simplifies down to 1:3

5 0

2 years ago

Find the sum of the convergent series 7 0.7 0.007

mafiozo [28]

$7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)$

Let $S_n$ denote the $n$ th partial sum of the series, i.e.

$S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}$

Then

$\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}$

and subtracting from $S_n$ we get

$S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}$
$\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)$

As $n\to\infty$ , the exponential term vanishes, leaving us with

$\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9$

and so

$7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9$