use a mapping diagram to determine whether the relation is a function (4,3),(1,5),(1,9),(8,7),(2,12),(4,2)which of the following mapping diagram represents the relation?

Answer:

A= 1/2d -1/2N

Step-by-step explanation:

Which year group is this question from?

(A) The equation 6x + 2y = - 12 in slope intercept form is y = - 3x - 6

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.

Consider the equation,

6x + 2y = - 12

The equation of a line in slope intercept form is given as:

y = mx + b where m is the slope and b is the y-intercept.

Now,

6x + 2y = - 12

Subtracting 6x from each side of the equation,

6x + 2y - 6x = - 12 - 6x

2y = - 12 - 6x

Dividing each side of the equation by 2,

y = - 3x - 6

Comparing the equation with y = mx + b.

m = - 3 and b = - 6

Therefore, the equation in slope intercept form is y = - 3x - 6.

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Answer:

X= 2, -5

Step-by-step explanation:

Take the root of both sides

Answer:

-5

Step-by-step explanation:

Answer:

2,4 3,5

Step-by-step explanation:

Answer:

The answer is 1/6

Step-by-step explanation:

This is the answer due to the fact that a dice has 6 sides meaning there is a 1 in 6 chance of rolling the different numbers

Answer:

\(the \: proberbility \: is \: \frac{2}{6} = \frac{1}{3} \)

Answer:

a. $21.50

b. $980

c. $25 and $18

Step-by-step explanation:

a. The price that generates the maximum profit is

In this question we use the vertex formula i.e shown below:

\((-\frac{b}{2a}, f(-\frac{b}{2a} ))\\\\\)

where a = -80

b = 3440

c = 36000

hence,

P-coordinate is

\((-\frac{b}{2a}, (-\frac{3440}{2\times -80} ))\\\\\)

\(= \frac{3440}{160}\)

= $21.5

b. Now The maximum profit could be determined by the following equation

\(f(p) = 80p^2 + 3440p - 36000\\\\f($21.5) = -80(21.5)^2 + 3440(21.5) - 36000\\\\\)

= $980

c. The price that would enable the company to break even that is

f(p) = 0

\(f(p) = -80p^2 + 3440p - 36000\\\\-80p^2 + 3440p - 36000 = 0\\\\p^2 -43p + 450 = 0\\\\p^2 - 25p - 18p + 450p = 0\\\\p(p - 25) - 18(p-25) = 0\\\\(p - 25) (p - 18) = 0\)

By applying the factoring by -50 and then divided it by -80 and after that we split middle value and at last factors could come

(p - 25) = 0 or (p - 18) = 0

so we can write in this form as well which is

p = 25 or p = 18

Therefore the correct answer is $25 and $18

The amount $600 would be after 3 years at 8% interest compounded continuously is $755.83

Compound interest are amount of money added on amiunt invested.

Given the following parameters

P = $600
r = 8% = 0.08
t = 3 years

Using the compound interest formula

A(t) = Ao(1+r)^t
A(t) = 600(1.08)^3
A(3) = $755.83

Hence the $600 would amount to after 3 years at 8% interest compounded continuously is $755.83

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Answer:

4 ÷ 1,000 = 0.004

Rounding up to 0 as the nearest whole number

Answer: is A

Step-by-step explanation:

Answer:

198 feet

Step-by-step explanation:

8,910 / 45 = 198

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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3.1 best represents the ratio of the length of segment A to segment B.

What is ratio?

By comparing two amounts of the same unit and finding the ratio, one can determine how much of one quantity is included in the other.

We are given that Jillian measures two line segments.

The length of Segment A is measured as 12.4 centimeters and the length of Segment B is measured as 4 centimeters.

So, on comparing both the lengths, we get

⇒12.4 : 4

⇒124 : 40

⇒3.1

Hence, 3.1 best represents the ratio of the length of segment A to segment B.

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Answer:

(7, 10) or (-7, -10)

Step-by-step explanation:

If you need an explanation with this lmk but it's most likely answer choice.

Answer:  The two roots are x = 3/2 and x = -2

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

Explanation:

You have the right idea so far. But the two numbers should be 3 and -4 since

The -1 being the coefficient of the x term.

This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.

---------

Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.

If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2

Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x

So we have the factor -x-2 along the top

The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.

We have the factor 2x-3 along the left side.

---------

The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)

The last thing to do is set each factor equal to 0 and solve for x

The two roots are x = 3/2 and x = -2

Answer: 105

Step-by-step explanation:

This is an interesting question. I would rewrite it as

In triangle FGH, angle FGH=25° and angle FHG=50. What is the measure of ∠HFG?

In the original question, the answer could technically be 25 or 50 is angle HFG.

Assuming that HFG is not equal to 25 or 50, the answer is 180-25-50, or 105. (the sum of the inner angles of a triangle is 180)

f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.

The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.

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The solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

To determine which value is included in the solution set for the inequality statement -3(x-4) > 6(x-1), we need to solve the inequality for x.

Starting with the given inequality:

-3(x - 4) > 6(x - 1)

First, distribute -3 and 6 to the terms inside the parentheses:

-3x + 12 > 6x - 6

Next, combine like terms by subtracting 6x from both sides and adding 6 to both sides:

-3x - 6x > -6 - 12

-9x > -18

To isolate x, divide both sides of the inequality by -9. Remember that when dividing by a negative number, we need to reverse the inequality sign:

x < (-18) / (-9)

x < 2

Therefore, the solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

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Answer:

Step-by-step explanatory:

x | y

1 | 2.5

2 | 6.25

3 | 15.625

4 | 39.0625

5 | 97.65625

This is true if we are using x as an exponent for y.

If x is not being used as an exponent then this is not true.

Check the picture below.

Where the above complex number are given, the solution are as follows.

z1 = √(34) cis(31°)

z2 = 2√(5) cis(153°)

z1z2 = 2√(17) √(5) cis(175°)

A complex number is the product of a real number and an imaginary number. 4+3i is an example of a complicated number. In this case, 4 is a real number, but 3i is an imaginary number.

To find the product of complex numbers, we simply multiply their real and imaginary parts separately:

z1z2 = (5 + 3i) (-4 + 2i) = -20 + 10i - 12i - 6 = -26 - 2i

To express z1, z2, and z1z2 in polar form, we need to find their modulus and argument (angle). The modulus of a complex number is the distance from the origin to the point representing the complex number in the complex plane, and the argument is the angle between the positive real axis and the line connecting the origin to the point representing the complex number.

The modulus of z1 is:

|z1| = √(5^2 + 3^2) = √(34)

To find the argument of z1, we use the arctangent function:

arg(z1) = atan(3/5) ≈ 31°

Therefore, z1 in polar form is:

z1 = √(34) cis(31°)

Similarly, we can find the modulus and argument of z2:

|z2| = √((-4)^2 + 2^2) = √(20) = √(5)

arg(z2) = atan(2/(-4)) + 180° = atan(-1/2) + 180° ≈ 153°

So z2 in polar form is:

z2 = 2√(5) cis(153°)

Finally, we can express z1z2 in polar form by finding its modulus and argument:

|z1z2| = √((-26)^2 + (-2)^2) = √(680) = 2√(17) √(5)

arg(z1z2) = atan((-2)/(-26)) + 180° = atan(1/13) + 180° ≈ 175°

Thus, z1z2 in polar form is:

z1z2 = 2√(17) √(5) cis(175°)

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Answer:

your awnser is 60m hope it helps

Answer:

20.51ft

Step-by-step explanation:

Given data

Length= 15ft

Width= 14ft

Height= 8ft

Because we want to find the diagonal, let us use the Length and the width

We can get the diagonal by applying the Pythagoras theorem

z^2= x^2+y^2

z^2= 15^2+ 14^2

z^2= 225+ 196

z^2= 421

square both sides

z= √421

z=20.51 ft

Hence the diagonal is 20.51ft

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer:

10) x = 8.12

12) x = 5.5

Step-by-step explanation:

10) tan 32° = x/13

x = 8.12

12) cos 60° = x/11

x = 5.5

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. The expression x3+7x+2 value is 24 when x=2. So option A is correct.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

The given expression is x^3+7x+2

Now we have to plug in x value as 2

=(2)^3+7*2+2

The value of 2^3 is 8 and 7*2 is 14

=8+14+2

Add 8, 14 and 2 to get the required solution.

=24

Therefore the expression x3+7x+2 value is 24 when x=2.

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Answer: 30%

Step-by-step explanation:

because e9 people are chosen and 9 divided by 3 is 3 and 3 x 10 =30

Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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