How do you find function f for piecewise function.

answer is 5/6

Step-by-step explanation:

multiplying by 60, we get,

50=15+42x

we can simplify it, 42x= 35,or x=5/6

Answer:

Step-by-step explanation:

The points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

Given that, a set of data that has neither a positive nor a negative association, but does have a valid trend line.

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

Therefore, the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

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Answer:

(4, -5)

Step-by-step explanation:

[tex]y=7-3x\\y=7-3(4)\\y=7-12\\y=-5[/tex]

Answer:

1:2

Step-by-step explanation:

1:2 would be a equivilant

also most simplified

Answer:

1 :2

Step-by-step explanation:

Answer:

0,3,6,9

Step-by-step explanation:

The divisibility rule for 3 is to add up all the digits and see if it's divisible by three. 1+1+4+6+6+3+9= is divisible by three. So the digit also has to be divisible by 3

Answer:

There are 4 possible answers and they are: 0, 3, 6 or 9

=======================================================

Explanation:

Recall the divisibility by 3 rule is that if the digits add to a multiple of 3, then the original number itself is also a multiple of 3.

Let x be the unknown digit. The number 11,466,x39 has its digits add to:

1+1+4+6+6+x+3+9 = x+30

Notice that 30 is a multiple of 3 since 30 = 3*10. This must mean x has to be a multiple of 3 as well. If x is a single digit and a multiple of 3, then we have the following options: {0,3,6,9}

If any of 0, 3, 6, or 9 replaces x, then the number 11,466,x39 is a multiple of 3.

In other words,

because all the digits add to some multiple of 3.

Figure B

The Pythagorean Theorem is [tex]a^2 + b^2 = c^2[/tex], where c is the longest side of the triangle (the hypotenuse).

To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.

In Figure A, if the triangle is right-angled, the equation [tex]3^2 + 6^2 = 8^2[/tex] must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.

In Figure B,  if the triangle is right-angled, the equation [tex]5^2 + 12 ^2 = 13^2[/tex] must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.

Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.

Answer:

  In general, no.

Step-by-step explanation:

f(-x) = -f(x) when the function is "odd." Such a function is symmetrical about the origin. This will not generally be the case, so, in general, -f(x) ≠ f(-x).

_____

Additional comment

When f(-x) = f(x), the function is "even." It is symmetrical about the y-axis.

Among trig functions, sin(x) is odd, and cos(x) is even.

Among polynomials, any polynomial with only odd-degree terms is odd; any polynomial with only even-degree terms is even.

The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18

According to the question:

let y and x represent amount of juice and oranges respectively;

k = 5/3

The ratios equivalent to the constant of proportionality is 15/9, 30/18

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Answer:

Step-by-step explanation:

9:15 15:25 6:10

Answer:

110 degrees I think

Step-by-step explanation:

Answer:

x <= -42.5

Step-by-step explanation:

65 - 2x >= 150

-2x >= 150 - 65

-2x >= 85

2x <= -85

x <= -85/2

x <= -42.5

Answer:

Step-by-step explanation:

26 * 3 = 78 in

Answer: y = -6/5x - 2

Step-by-step explanation:

Slope = Change in y/Change in x

Our y intercept is -2 because of our point (0,-2)

Answer:

the answer is 12ft hope that helps

Answer:

68

Step-by-step explanation:

16 + ((15 + 5) + 32)

= 16 + (20+32)

= 16 + 52

= 68

* Use BODMAS to solve the sum

Answer:

-3

remember, slope is rise over run. It's negative because the line is declining.

Answer:

Add 6x to both sides.

y + 6x = -5

Reorder the left side so that the x term is first.

6x + y = -5

:)

Answer:

E

Step-by-step explanation:

Answer:90

Step-by-step explanation:

900/10 = 90

Answer: 90

Step-by-step explanation:

Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

__

Check

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

  -57 +100 = 43 . . . . . true

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c

Example 1

Write down the nth term of this quadratic number sequence.

-3, 8, 23, 42, 65...

Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence = -3, 8, 23, 42, 65

1st difference = 11,15,19,23

2nd difference = 4,4,4,4

Step 2: If you divide the second difference by 2, you will get the value of a.

4 ÷ 2 = 2

So the first term of the nth term is 2n²

Step 3: Next, substitute the number 1 to 5 into 2n².

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Differences = -5,0,5,10,15

Now the nth term of these differences (-5,0,5,10,15) is 5n -10.

So b = 5 and c = -10.

Step 5: Write down your final answer in the form an² + bn + c.

2n² + 5n -10

Example 2

Write down the nth term of this quadratic number sequence.

9, 28, 57, 96, 145...

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Sequence = 9, 28, 57, 96, 145...

1st differences = 19,29,39,49

2nd differences = 10,10,10

Step 2: If you divide the second difference by 2, you will get the value of a.

10 ÷ 2 = 5

So the first term of the nth term is 5n²

Step 3: Next, substitute the number 1 to 5 into 5n².

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Differences = 4,8,12,16,20

Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.

Step 5: Write down your final answer in the form an² + bn + c.

5n² + 4n

Answer:

35

hope this helps you!!

Answer:

y= 11

Step-by-step explanation:

[tex]\boxed{slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Substituting the coordinates and value of slope:

[tex] \frac{y - ( - 3)}{3 - ( - 4)} = 2[/tex]

[tex] \frac{y + 3}{3 + 4} = 2[/tex]

[tex] \frac{y + 3}{7} = 2[/tex]

Multiply both sides by 7:

y +3= 2(7)

y +3= 14

Subtract 3 from both sides:

y= 14 -3

y= 11

Answer:

  f(x) = x^2

Step-by-step explanation:

Any quadratic (2nd-degree) function will have 0 as its third derivative.

  f(x) = ax² +bx +c

  f'(x) = 2ax +b

  f''(x) = 2a

  f'''(x) = 0

Perhaps the simplest such function is f(x) = x^2.

Answer:

x < -10

Step-by-step explanation:

First, let x = unknown number. Then create the algebraic equation to solve for x. The equation would be 2x + 7 < -13, so 2x < -20, thus x < -10.

Answer:

If you wanted the in equality equation then your answer is 2n + 7 < -13

If you want the answer to the inequality then its n < -10

Step-by-step explanation:

2n + 7 < -13

     -7     -7

    2n < -20

    /2      /2

     n < -10

What is the total amount of rain on the ground, in inches, after 8 hours of the storm?

The design of the experiment is such that the knowledge of the type of

ball being hit does nit influence the outcome of the experiment.

Reasons:

The aim of the experiment is to determine if the new type of ball travels farther than the company's previous golf ball.

The design of the experiment is as follows;

Number of the previous golf ball in the experiment = 40

Number of the new type of golf ball used in the experiment = 40

The order in which the ball are selected from the bag = Randomly

The subject of the experiment = A golf pro

The sample size of each sample is larger than 30, and therefore, the

distribution can be taken as approximately normal.

The principle of comparison has been addressed in the experiment

because the golf pro that is subject to the treatment will react more

accurately to the change in the variable, given that, the previous golf ball

serves as a placebo in the study and after all the balls are hit, the distance

travelled by each set can be determined.

The correct option is therefore;

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Answer: 1,000.77

Step-by-step explanation:

After 1 year: 980 + 0.3% = 982.94

After 2 years: 982.94 + 0.3% = 985.89

After 3 years: 985.89 + 0.3% = 988.85

After 4 years: 988.85 + 0.3% = 991.82

After 5 years: 991.82 + 0.3% = 994.80

After 6 years: 994.80 + 0.3% = 997.78

After 7 years: 997.78 + 0.3% = 1,000.77

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