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2 years ago

Please help me with this.

Mathematics

1 answer:

Rama09 [41]2 years ago

4 0

The image of the point (1, 2, 3) is (3, 7)

<h3>How to determine the image?</h3>

The given parameters are:

Point = (1, 2, 3)
Transformation rule = (3x, 2y + z)

In (1, 2, 3), we have:

x = 1; y = 2 and z = 3

When the rule is applied, we have:

Image = (3x, 2y + z)

Image = (3 * 1, 2 *2 + 3)

Evaluate

Image = (3, 7)

Hence, the image of the point (1, 2, 3) is (3, 7)

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Find x when y=5 if y varies inversely as x and x=6 when y =-18

Vera_Pavlovna [14]

It has been given that y varies inversely with x, therefore the equation for this relationship is as follows;
y = $\frac{k}{x}$ \
when y = -18 and x = 6
-18 = k/ 6 ---1)
We need to find x when y = 5
5 = k/x
when we divide 1)/2), k gets cancelled

$\frac{-18}{5}= \frac{x}{6}$
x = -18*6/5
x = -21.6
when y = 5, then x = -21.6

7 0

3 years ago

Suppose that circles A and B have a central angle measuring 40°. Additionally, circle A has a radius of

nevsk [136]

The answer will be C

7 0

2 years ago

The population of a certain type of seahorse grew by 13% from year to year.

Gekata [30.6K]

Answer: Exponential function

Step-by-step explanation:

A linear function is the form $f(x)=mx+c$ , where m is the constant rate of change of y with respect to x and c is the y-intercept.

An exponential growth function is in the form $f(x)=A(1+r)^x$ , where r is the rate of growth (generally in percent) and A is initial value.

If the population of a certain type of seahorse grew by 13% from year to year, then the rate of growth is 13% .

Hence it is an exponential equation.

7 0

3 years ago

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute

zvonat [6]

Step 1

Find the equation in function notation

Let

h-------> the number of hours

y-------> the function for the walker fee in dollars

we know that

the hourly rate is $30\frac{\$}{hour}$

$y=6+30h$

in this linear equation

the independent variable is the variable h

the dependent variable is the variable y

Convert to function notation

Let

$f(h)=y$

$f(h)=6+30h$

Step 2

Find how much does the dog walker charge for a 45 minute walk

Convert the time in hours

$1\ hour=60\ minutes$

$45\ minutes=45/60=0.75\ hours$

substitute in the equation

For $h=0.75\ hours$

$f(0.75)=6+30*(0.75)=\$28.5$

therefore

the answer is

the dog walker charge for a 45 minute walk $\$28.5$

Statements

Step 3

The dependent variable is the number of hours true or false

The statement is false,

because the independent variable is the number of hours and the dependent variable is the walker fee in dollars

Step 4

The function for the walker fee is f(h)= 30h+6 true or false

The statement is True --------> see the Step 1

Step 5

The dog walker charges $22.5 for a 45 min walk true or false

The statement is False

Because the dog walker charges for a 45 minute walk $\$28.5$

5 0

3 years ago

32) (a)-(c) pre calculus

Harrizon [31]

Well, remember we can't take the square root of a negative

so we see that we have $\sqrt{1-x^2}$
so find those values that take sqrt of a negative and restrict hem from the domain
anny value greater than 1 and less than -1
so domain is from -1 to 1, including those numbers
D=[-1,1]

a. D=[-1,1] or from -1 to 1 is domain

b. for a TI-84, go to y-editor then input $4x \sqrt{1-x^2}$ for y1

c. for a TI-84, click 2nd then window (gets to tbset) scrol down to set Δx to 0.1, then cilick 2nd again then click graph (to select table) and scroll down till you see that value of y that is the biggest, that value is x=0.7

A. domain is from -1 to 1
B. use your brain or google the instructions for your calulator
C. at x=0.7

8 0

3 years ago