Compare. use <, > ,or = to complete the statement

How to write half of a number is equal to -5?

Oxana [17]

1/2x=-5 is the answer

7 0

3 years ago

Read 2 more answers

1.00 is 5% of what number

spin [16.1K]

Answer:

20

Step-by-step explanation:

If you work this out you get 1:

5/100*20

5 divided by 100 is 0.05 then 0.05 times 20 is 1

5 0

3 years ago

Find a common difference of the arithmetic sequence -2, -1 4/5, -1 3/5, -1 2/5,

elixir [45]

Answer:

The common difference is $\frac{1}{5}$ or 0.2

Step-by-step explanation:

Given:

Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,

First term = a₁ = -2

Second term = a₂ = $\frac{-9}{5}$

Third term = a₃ = $\frac{-8}{5}$

Fourth term = a₄ = $\frac{-7}{5}$

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d , $\textrm{common difference}= \textrm{Second Term} -\textrm{First Term}=\textrm{Third Term}-\textrm{Second Term}$

$\textrm{common difference} = a_{2}- a_{1}= a_{3}- a_{2}=a_{4}- a_{3}$

∴ $d = \frac{-9}{5}-(-2)\\d=\frac{-9}{5}+2\\d=\frac{1}{5}\\ \therefore d =0.2\\$

The common difference is $\frac{1}{5}$ or 0.2

6 0

3 years ago

The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

$h^-^1(x)=\frac{x-4}{3}$

$(h^-^1 \ o\ h)(-3)=-3$

Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.

$h^-^1\ o\ h$

$\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x$

Now substitute (-3) in place of (x),

$=-3$

8 0

2 years ago

What is the triangle proportionality therom

zloy xaker [14]

If a line <span>parallel </span>to one side of a <span>triangle </span>intersects the other two sides of the triangle, then the line divides these two sides proportionally.

5 0

3 years ago