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2 years ago

Function g is a transformation of the parent exponential function. Which statements are true about function g?

Mathematics

1 answer:

Elan Coil [88]2 years ago

3 0

Answer:

function g is positive over (-∞, ∞)

function g has a y-intercept of (0,4)

function g decreasing over the interval (-∞, 0)

Step-by-step explanation:

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Which of the following expressions are equivalent to \left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}(9 87 +2 54 )− 21

lora16 [44]

Answer:

$12\dfrac{7}{40}$

Step-by-step explanation:

The given expression is

$\left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}$

We need to find the simplified form of the given expression.

It can be rewritten as

$\left(9+\dfrac{7}{8} + 2+\dfrac{4}{5}\right)-\dfrac{1}{2}$

Combine integers and fractions separately.

$(9+2)+(\dfrac{7}{8}+\dfrac{4}{5}-\dfrac{1}{2})$

Taking LCM we get

$11+\dfrac{35+32-20}{40}$

$11+\dfrac{47}{40}$

In can be written as

$11+\dfrac{40+7}{40}$

$11+1+\dfrac{7}{40}$

$12+\dfrac{7}{40}$

$12\dfrac{7}{40}$

Therefore, the expression $12\dfrac{7}{40}$ is equivalent to the given expression.

5 0

2 years ago

Describe the graph of y=3/4x-12 as compared to the graph of y=1/x

Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function $y=\frac{3}{4x-12}$ as compared to the graph of $y=\frac{1}{x}$ .

We can write our transformed function as:

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

$y=\frac{3}{4}*\frac{1}{(x-3)}$

Now let us compare our transformed function with parent function.

Let us see rules of transformation.

$f(x-a)\rightarrow\text{Graph shifted to the right by a units}$ ,

$f(x+a)\rightarrow\text{Graph shifted to the left by a units}$ ,

Scaling of a function: $a*f(x)$

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0

3 years ago

How do you write 0.4335 as a fraction

kogti [31]

0.4335/1 x 10000/10000
=4335/10000
=867/2000

3 0

3 years ago

Read 2 more answers

The square root of 83 can be platted on the number line below

wel

The answer is some number between 9 and 10.
Explanation:
√83
is an irrational number. You won't be able to simplify it any further either, since it doesn't have any perfect square factors.
However, you will be able to tell between which two numbers it lies in.
9^2 is 81 and 10^2 is 100
. Therefore, you can say that a certain number between 9 and 10 is 83 when squared.
If you're looking for an exact answer, then it will be 9.11043357914... (I got that using a calculator).

8 0

2 years ago

Equation<br> horizontal asymptote<br> vertical asymptote

ira [324]

Answer:

Hello,

In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.

So Horizontal asymptote = 2

For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is

y= 0

Rate positively and give brainlist

3 0

3 years ago