If x = − 6, which number line shows the value of |x|?

Engineering

Answer:

For which shape ?! You need to know the rule.

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:

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:

x <= -42.5

Step-by-step explanation:

65 - 2x >= 150

-2x >= 150 - 65

-2x >= 85

2x <= -85

x <= -85/2

x <= -42.5

Answer:?? I don't understand that sorry, I'm unhelpful

Step-by-step explanation:

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)

Veremos que el volumen total que cabe en el pilón es 2,800 m^3

Sabemos que el pilón tiene una capacidad máxima V.

Tambíen sabemos que de momento, el pilón tiene 1,600 m^3 de agua, y esto es equivalente a 4/7 de la capacidad máxima.

Entonces podemos plantear:

(4/7)*V = 1,600m^3

Podemos resolver esta ecuación para V si multiplicamos ambos lados por (7/4), así obtenemos:

V = (7/4)*1,600m^3 = 2,800 m^3

Es decir, el volumen total que cabe en el pilon es 2,800m^3

Sí quieres aprender más, puedes leer:

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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

The graph representing a proportional relationship ALWAYS goes through the origin (0, 0).

Recall:

In the proportional relationship graph, the line goes through the origin (0, 0) as shown in the image attached below.

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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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#SPJ2

Answer:

See Image below for answer:)

Step-by-step explanation:

Answer:

the answer is 12ft hope that helps

Answer:

B

Step-by-step explanation:

[tex]4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0[/tex]

B is factorable through this method

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.

Answer:

68

Step-by-step explanation:

16 + ((15 + 5) + 32)

= 16 + (20+32)

= 16 + 52

= 68

* Use BODMAS to solve the sum

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.

Answer:

7 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

The reciprocal of 8 is [tex]\frac{1}{8}[/tex]

The reciprocal of [tex]\frac{1}{7}[/tex] is [tex]\frac{1}{\frac{1}{7} }[/tex]  = 7

sum = 7 + [tex]\frac{1}{8}[/tex] = 7 [tex]\frac{1}{8}[/tex]

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.

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

Answer:

E

Step-by-step explanation:

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

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

Brainliest?

Answer:

_____

Step-by-step explanation:

Im pretty sure it would be 45 ____

Answer:

Step-by-step explanation:

330,000,000,000,000,000,000,000 has 22 zeros, so we can immediately say

33x10^22

This should be expressed using just a single decimal point, so we can move the decimal point two more spaces to the left, and add 2 to the exponent:

3.33x10^23

The question states a one digit whole number, so make it 3x10^23, although it seems an insult to the 0.33.  Go with the one you prefer.

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.

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:

D

Step-by-step explanation: