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ki77a [65]
3 years ago
9

Please help

Mathematics
1 answer:
Harman [31]3 years ago
3 0

Answer:

we get \mathbf{gf(2)=-\frac{1}{3}}

Step-by-step explanation:

We are given:

f(x)=1-2x\\g(x)= \frac{1}{x}\\h(x)=x^3+1

We need to find value of gf(2)

gf(2)=g(f(2))

First putting f(x) inside of g(x) and then putting x=2

gf(x)=g(f(x))\\gf(x)=\frac{1}{1-2x}

Now putting x=2 to find gf(2)

gf(x)=\frac{1}{1-2x}\\gf(2)=\frac{1}{1-2(2)}\\gf(2)=\frac{1}{1-4}\\gf(2)=\frac{1}{-3}\\gf(2)=-\frac{1}{3}

So, we get \mathbf{gf(2)=-\frac{1}{3}}

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How many different triangles can you make with the following conditions: angles measuring 45 degrees and 90 degrees and an INCLU
kotykmax [81]

Answer:

One

Step-by-step explanation:

Clearly, one triangle can be constructed as the angles 45 and 90 do not exceed 180 degrees. (so "None" is not correct)

To show that only one such triangle exists, you can apply the Angle-Side-Angle theorem for congruence.

Since one triangle can be constructed, it remains to be shown that no additional triangle that is not congruent to the first one can be created: I will use proof by contradiction. Let a triangle ABC be constructed with two angles 45 and 90 degree and one included side of length 1 inch. Suppose, I now construct a second triangle that is different from the first one but still has the same two angles and included side. By applying the ASA theorem which states that two triangles with same two angles and one side included are congruent, I must conclude that my triangle is congruent to the first one. This is a contradiction, hence my original claim could not have been true. Therefore, there is no way to construct any additional triangle that would not be congruent with the first one, and only one such triangle exists.

3 0
3 years ago
What is 1.8×0.5×3.4+2.6=
BabaBlast [244]

Answer:

5.66

Step-by-step explanation:

Use PEMDAS

Parentheses - there are none so dont do anything regarding this step

Exponents - there are none so dont do anything regarding this step

Multiplication - multiply everything except 2.6 and that will give you 3.06

Division - there is none so dont do anything regarding this step

Addition - add 3.06 and 2.6 and that will give you 5.66

Subtraction - there is none

Therefore, the answer is

5.66

6 0
3 years ago
How do you explain what the problem 6 divided by 1/2 means?
miskamm [114]

Answer:

6 divided by 1/2 essentially just multiplying the number by two. 6/(1/2)=12. 6*2=12. In this problem, you are simply dividing the number six by a part of a number, in this case one half of one. Hope that helps, let me know if not!  

5 0
3 years ago
The spinner shown is divided into 8 equal sections. What is the probability that the arrow will land on a section labeled with a
Oxana [17]

The probability of the arrow will land on a section labeled with the number greater than 3 is \frac{5}{8}

Step-by-step explanation:

Given,

The spinner is divided into 8 sections say named 1, 2, 3, 4, 5, 6, 7, 8

To find the P : probability of the arrow will land on a section labeled with the number greater than 3

Formula

<u>P = (the number of possible outcomes) ÷ ( the number of total result)</u>

We will count the probability when the arrow land on either 4 or 5 or 6 or 7 or 8 = 5 times

Total number of result = 8

Hence the probability = \frac{5}{8}

8 0
4 years ago
The general form of a circle is given as x^2 + y^2 + 4x - 12y + 4 = 0.
stepan [7]
If you can rewrite the formula as (x-a)² + (y-b)² = r², the center is at (a,b) and the radius is r.

If you work out this equation, and map it to the original, you will find that the +4x term hints that a = 2 (double product) and -12y hints that b=-6, and r=6.

So, the formula can be written as (x+2)² + (y-6)² = 6² and the center is at (-2,6) and the radius is 6.
7 0
3 years ago
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