I don't understand please help

Mathematics

1 answer:

GREYUIT [131]3 years ago

3 0

Step-by-step explanation:

Objective: Solving Piecewise Functions

Analyze the info in the graph.

We know that if x=1, the graph will coincide at 5.

If x is greater than 1, the answer will be x squared it answer so any positve interger greater than 1 the answer is that squared.

If x is less than 1, the answer will be double that x.

Let check the answer choices.

A is wrong because x is less than 1 so the answer should be 2(-2)=-4 not 4.

C is Wrong, since 5 is greater than 1, it must be 25 so 5^2=25

D and B are both right, 2 is greater than 1 so 2 squared =4 and Whenever x=1, it will equal 5.

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There are x ducks in a pond. The number of swans in the pond is equal to the square root of the number of ducks. If the total nu

Mashcka [7]

Answer:

<h2>There are 9 ducks and 3 swans in the pond.</h2>

Step-by-step explanation:

According to the problem, the number of swans in the pond is equal to the square root of the number of ducks, this can be expressed as

$s=\sqrt{x}$

Where $x$ represents the number of ducks in the pond.

If the total number of swans and ducks is 12, the expression would be

$s+x=12$

Now, we replace the first equation in the second one

$\sqrt{x} +x=12$

Then, we elevate each side to the square power

$\sqrt{x} =12-x\\(\sqrt{x} )^{2} =(12-x)^{2} \\x=144-24x+x^{2} \\x^{2} -25x+144=0$

Using a calculator, the roots are 9 and 16.

Let's evaluate each value.

For $x=9$ , $s=\sqrt{9}=3$ , and $9+3=12$ , which is true.

For $x=16$ , $s=\sqrt{16} =4$ , and $16+4=20$ , which is false.

Therefore, there are 9 ducks and 3 swans in the pond.

7 0

3 years ago

Read 2 more answers

30pts BRAINLIEST please help? also if possible id love to learn how to find the answer so i can do this later on by myself. Than

makkiz [27]

Step 1) Enter the (x,y) pairs of values into a table. In the attached image, this is in columns B and C

Step 2) Make a new column of the squared x values. This is column D in that same attached image

Step 3) Make another column of the x*y values. This is the result of multiplying each (x,y) pair together. This is column E.

Step 4) Add up everything in their respective columns. The sums are highlighted in yellow at the bottom. Those sums are important since we'll use them later.

Let
P = sum of the x values = 22
Q = sum of the y values = 56
R = sum of the x^2 values = 75
S = sum of the x*y values = 111

We'll use P,Q,R,S in the formulas below

m = (n*S-P*Q)/(n*R-P^2)
b = (Q - m*P)/n

where m is the slope, b is the y intercept and n is the number of points (in this case, n = 8). The regression line is in the form y = mx+b

So let's compute the slope m first
m = (n*S-P*Q)/(n*R-P^2)
m = (8*111-22*56)/(8*75-22^2)
m = -2.96551724137931
which rounds to m = -3

Then use this m value to find b
b = (Q - m*P)/n
b = (56 - (-2.96551724137931)*22)/8
b = 15.1551724137931
which rounds to b = 15

So y = mx+b turns into y = -3x+15

----------------------------------------

Final Answer: Choice A) y = -3x+15
This regression line is approximate to the nearest whole number

Side Notes:
1) If your teacher doesn't want you using that formula I mentioned above, then you can try looking in your book for similar versions of the formula

2) If your teacher requires you only use two points, then I suggest you find the equation of the line through (1,12) and (4.5,0) to get roughly the same answer if you rounded to the nearest whole number

3) Using a calculator, such as a TI83, will help speed up the process immensely. The LINREG function will automatically find the linear regression equation after you type in the x,y values into the table. Let me know if you need me to go over this in greater detail.