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3 years ago

5

Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship be

tween the cost of the party and the number of friends attending.
The dependent variable is ____.
A. Number of friends (f)
B. Cost of party (c)

2 answers:

Aloiza [94]3 years ago

8 0

It is the number of friends.

Gekata [30.6K]3 years ago

5 0

A.Number of friends i think

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Consider the graph of the function f(x)=2x.

77julia77 [94]

Given:

The parent function is:

$f(x)=2^x$

The other function is:

$g(x)=2f(x)$

To find:

The statement that describes a key feature of function g.

Solution:

We have,

$f(x)=2^x$

$g(x)=2f(x)$

Using these two functions, we get

$g(x)=2(2)^x$

Putting $x=0$ , we get

$g(x)=2(2)^{(0)}$

$g(x)=2(1)$

$g(x)=2$

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that $g(x)\to 0$ as $x\to -\infty$ and it will never intersect the line $y=0$ . It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

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3 years ago

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A triangle with sides of lengths 9, 22, and 24 is a right triangle

Leona [35]

Answer:

The statement is false

Step-by-step explanation:

we know that

if the triangle is a right triangle

then

the triangle must satisfy the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

we have

$c=24\ units$

$a=9\ units$

$b=22\ units$

substitute

$24^{2}=9^{2}+22^{2}$

$576=81+484$

$576 \neq 565$

therefore

Is not a right triangle

The statement is false

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3 years ago

What is 350/100 as a decimal and percent

igor_vitrenko [27]

3.5
350%. Hope it helped

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3 years ago

The questions below walk through the use of kNN to predict the value of Y for a new point with (X1, X2)=(4, 4). Distance is calc

Nady [450]

Answer:

The Euclidean distance between the two given points is $\sqrt{2}\text{ units}$ .

Step-by-step explanation:

K-NN is used to predict the variable y for a new point with $(X_1,X_2) = (4,4)$

Distance is calculated in the Euclidean sense.

The Euclidean distance between two points is given by the formula:

$\text{Points: }(X_1, X_2), (x_1,x_2)\\\\D = \sqrt{{(x_2-X_2)}^2 + (x_1-X_1)^2}$

The point is $(x_1,x_2) = (3,5)$

The Euclidean distance between the two points is given by:

$D = \sqrt{(5-4)^2 + (3-4)^2} = \sqrt{2}\text{ units}$

Thus, the Euclidean distance between the two given points is $\sqrt{2}\text{ units}$ .

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3 years ago

In the table, Pattern A uses the rule "add 12" and Pattern B uses the rule "add 3." Pattern A 0 12 24 36 48 Pattern B 0 3 6 9 12

lara31 [8.8K]

Answer:

D. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

Step-by-step explanation:

Given

$A:0\ 12\ 24\ 36\ 48$

$B: 0\ 3\ 6\ 9\ 12$

Required

The true statement

Option D is true, and the proof is as follows.

The interpretation of D is:

$B = \frac{1}{4}A$

When $A = 0$

$B = \frac{1}{4}A = \frac{1}{4} * 0 = 0$

When $A = 12$

$B = \frac{1}{4}A = \frac{1}{4} * 12 = 3$

When $A = 24$

$B = \frac{1}{4}A = \frac{1}{4} * 24 = 6$

When $A = 36$

$B = \frac{1}{4}A = \frac{1}{4} * 36 = 9$

When $A = 48$

$B = \frac{1}{4}A = \frac{1}{4} * 48 = 12$

Compare the calculated values with the given values of B, we have:

$B: 0\ 3\ 6\ 9\ 12$ --- Calculated

$B: 0\ 3\ 6\ 9\ 12$ --- Given

Hence, (d) is correct

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2 years ago

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