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3 years ago

Which set of numbers is included in the solution set of 4-3x<-2

Mathematics

1 answer:

raketka [301]3 years ago

6 0

-2 is less than 1 because if you subtract 4-3x is going to be 1x and -2 is going to stey the same

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I need help ASAP. Thank you

Fed [463]

Here is the link to the graph. You can scale it and tweak it.
https://www.desmos.com/calculator/mawkflj9ws

Hope this helped!

8 0

3 years ago

What is 26/36 in simplist form?

andreyandreev [35.5K]

Answer:

13/18

Step-by-step explanation:

26/2= 13

36/2= 18

13/18

5 0

3 years ago

Read 2 more answers

A valid license plate in Xanadu consists of two capital letters followed by three digits. How many valid license plates are poss

tatiyna

The valid license plates are possible = 676,000 possibilities

<h3>What is permutation and combination?</h3>

In mathematics, there are two alternative methods for dividing up a collection of components into subsets: combination and permutation. The subset's components can be arranged in any sequence when used together. The subset's components are given in a permutation in a certain order.

<h3>According to the given information:</h3>

There is no prohibition on using the same letters or numbers more than once, therefore all 26 letters of the alphabet and all 10 numerals are permissible choices.

There are 26 options if the initial answer is A:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

There are 26 options if the initial answer is B:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

So,

The first letter can be one of 26 options, and the second letter can be one of 26 options. There are a variety of 2 letter combinations, including:

26 x 26 = 676

For the three digits, the same holds true.

The first, second, and third options each have ten options available:

10 × 10 × 10 = 1000

Thus, there are several options for a license plate with two letters and three digits:

26 x 26 x 10 × 10 × 10 = 676,000 possibilities.

The valid license plates are possible = 676,000 possibilities.

To know more about permutation and combination visit:

brainly.com/question/13387529

#SPJ4

8 0

1 year ago

A line tangent to the curve f(x)=1/(2^2x) at the point (a, f(a)) has a slope of -1. What is the x-intercept of this tangent?

kirza4 [7]

Answer:

x-intercept = 0.956

Step-by-step explanation:

You have the function f(x) given by:

$f(x)=\frac{1}{2^{2x}}$ (1)

Furthermore you have that at the point (a,f(a)) the tangent line to that point has a slope of -1.

You first derivative the function f(x):

$\frac{df}{dx}=\frac{d}{dx}[\frac{1}{2^{2x}}]$ (2)

To solve this derivative you use the following derivative formula:

$\frac{d}{dx}b^u=b^ulnb\frac{du}{dx}$

For the derivative in (2) you have that b=2 and u=2x. You use the last expression in (2) and you obtain:

$\frac{d}{dx}[2^{-2x}]=2^{-2x}(ln2)(-2)$

You equal the last result to the value of the slope of the tangent line, because the derivative of a function is also its slope.

$-2(ln2)2^{-2x}=-1$

Next, from the last equation you can calculate the value of "a", by doing x=a. Furhtermore, by applying properties of logarithms you obtain:

$-2(ln2)2^{-2a}=-1 \\\\2^{2a}=2(ln2)=1.386\\\\log_22^{2a}=log_2(1.386)\\\\2a=\frac{log(1.386)}{log(2)}\\\\a=0.235$

With this value you calculate f(a):

$f(a)=\frac{1}{2^{2(0.235)}}=0.721$

Next, you use the general equation of line:

$y-y_o=m(x-x_o)$

for xo = a = 0.235 and yo = f(a) = 0.721:

$y-0.721=(-1)(x-0.235)\\\\y=-x+0.956$

The last is the equation of the tangent line at the point (a,f(a)).

Finally, to find the x-intercept you equal the function y to zero and calculate x:

$0=-x+0.956\\\\x=0.956$

hence, the x-intercept of the tangent line is 0.956

5 0

3 years ago

Qual é o resultado da multiplicação a seguir:

earnstyle [38]

Answer:

que????? no entiendo??????

4 0

3 years ago