All categories

3 years ago

May someone please help me out with this problem? May you also explain it?

Mathematics

1 answer:

gavmur [86]3 years ago

3 0

Answer:

Step-by-step explanation:

Given function is,

f(x) = $\sqrt{x}$

If the given function is vertically stretched by a scale factor of $\frac{3}{2}$ Or 1.5,

Transformed function will be,

h(x) = $\frac{3}{2}[f(x)]$

h(x) = $\frac{3}{2}(\sqrt{x})$

Further function 'h' is shifted 1 units upwards,

g(x) = h(x) + 1

g(x) = $\frac{3}{2}(\sqrt{x} )+1$

Domain of the function → x ≥ 0 Or [0, ∞)

Range of the function → y ≥ 1 Or [1, ∞)

Transformations done → Parent function f(x) is vertically stretched by a scale factor of $\frac{3}{2}$ then shifted 1 unit upward.

You might be interested in

Factorise<br> x^2 – 8x - 48

Nitella [24]

Answer:

Factor x^2−8x−48 using the AC method.

(x−2) (x+4)

4 0

3 years ago

Read 2 more answers

Red, green, and white jellybeans are combined in a ratio of 5:4:3, respectively. What is the ratio of green jelly beans to the t

Rainbow [258]

We have been given that red, green, and white jellybeans are combined in a ratio of 5:4:3 respectively. We are asked to find out the ratio of green jelly beans to the total number of jelly beans.

In order to find out the ratio of green jelly beans to the total number of jelly beans we have to find out the total number of jelly beans.

$\text{Total number of jelly beans}=5+4+3=12$

Now we can find out out our desirable ratio by substituting our finding in the ratio.

$\text{Number of green jelly beans}:\text{Total number of jelly beans}=4:12\\=1:3$

Therefore, ratio of green jelly beans with respect to all jelly beans is 1:3.

6 0

3 years ago

Three horses, call them a, b, and c, are going to race against each other. the probability that a will win the race is 1⁄5 and t

Genrish500 [490]

=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)=)

6 0

2 years ago

A certain shampoo is available in two sizes. A 14.2 ounce bottle costs $3.98. A 33.9 ounce bottle costs $9.98. Find the unit pri

DedPeter [7]

The price per ounce for the 14.2 ounce bottle is $0.28. The price per ounce for the 33.9 ounce bottle is $0.29. Therefore, the 14.2 ounce bottle of shampoo Is the better buy.

You take the total price of the shampoo bottle and divide it by how many ounces there are to get the price per ounce.

P.s. it says I’m a beginner because I made a new account

7 0

2 years ago

Read 2 more answers

I would appreciate I someone could help me with these questions

svet-max [94.6K]

38: it's a right triangle
39:
area:
$a = \pi {r}^{2}$
$a = 3.14 \times {10}^{2} = 314$

circumference:
$c = \pi \times diameter$
$c = 3.14 \times 20 = 62.8$

8 0

3 years ago