Given: 3x - 2y =6 (6 marks) a) Find the gradient (slope) b) Find the y-intercept c) Graph the function

The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.

The probability of two independent events occurring, we multiply their individual probabilities.

Let's start by determining the probability of the coin showing tails.

Since it is a fair coin, there are two equally likely outcomes: heads or tails.

The probability of the coin showing tails is 1/2.

Next, we consider the number cube.

It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.

Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).

The probability of rolling a three, four, or six is 3/6 or 1/2.

Now, we can find the probability of both events occurring by multiplying the probabilities together:

P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)

= 1/2 × 1/2

= 1/4

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Answer: $14697.51

Step-by-step explanation:

\(9126(1+0.10)^{5} \approx \$14697.51\)

Answer:

247 degree celcius

Step-by-step explanation:

Here,

Temp diff=Sahara-antarctica

=128-(-119)

=128+119

=247 degree Celcius

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The value of variable c in block d is 2.

In the given code, there are multiple nested blocks with variables a, b, c, and d. The variable c appears in two different scopes: one within block b and another within block c.

When the code reaches the  innermost block c, a new variable c is declared with a value of 3. This innermost c variable shadows the outer c variable, which has a value of 2 in block b.

Inside the innermost block c, the value of d is assigned as the concatenation of variables a, b, and c, which are all in the current scope and have values 1, 2, and 3 respectively. Therefore, the value of d is 1 2 3.

In block d, another variable e is declared and assigned the concatenation of variables a, b, and c, which are still in the current scope and have the same values. Hence, the value of e is also 1 2 3.

In summary, the value of variable c in block d is 2, not 3.

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Answer:

This question isn't worded properly but I'll try my best to answer it. What I think you're trying to ask is "How much money would 40 tickets cost?"

Step-by-step explanation:

Well,  to make the multipulcation easier you would take away the zero just for now. It should look like this: 4x$10.50=42

Your answer is $42, but then you add the zero back on to that. So now the answer is $420.

Thanks, I hope this helped! If it did I wouldn't mind being mark brainlist!

Answer:

D 16nsnsbsnshshshshshs

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

it should be x+12

Step-by-step explanation:

if x is bigger than -11, then the answer will always be positive

We have given a function; \(|x+12|, if x > -11\) if x is bigger than -11, then the answer will always be positive.

A function is defined as a relation between the set of inputs having exactly one output each.

We have given a function;

\(|x+12|, if x > -11\)

The modulus of any number always gives the positive term.

if x is bigger than -11, then the answer will always be positive.

Let x = 2

then we get

\(|x+12| = |2+12| \\\\= 14\)

So, we can see that the answer is positive.

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Answer:

3.1 : 2.48

Step-by-step explanation:

The volume of two sphere are the ratio 125:64

The volume of a sphere = 4/3 × π × r³

Hence, we have to find the radius of the cylinder

The formula for radius of the cylinder =

(3V/4π)⅓

For sphere 1

Volume = 125

=( 3 × 125/4 × π)⅓

= 3.1

For sphere 1

Volume = 64

=( 3 × 64/4 × π)⅓

= 2.48

The ratio of their radii =

3.1 : 2.48

Answer:

89

Step-by-step explanation:

2 PLUS 3456 PLUS 687=32534

Step-by-step explanation:

f{g(x)}

= -x²+2

now,

(fog)(3)= -3²+2

To solve this we must be knowing each and every concept related to  cube root and its calculations. Therefore, the cube roots of 11 is 2.223.

In a nutshell, the cube roots of almost any integer is the component that we multiply on its own three times to produce the specific values. Remember that now the cube roots of an integer is the inverse of its cubing.

Only when yyy= x is the cube root of such a number x , a number y. All nonzero real numbers get one actual cube root and two complex conjugated cube roots, while all nonzero complex numbers possess three distinct complex cube roots.  The cube roots of 11 is 2.223.

Therefore, the cube roots of 11 is 2.223.

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Answer:

y=15

Step-by-step explanation:

Answer:

1st is 000

2nd 000

4 ten thousands 0 x 1,000

40 thousands 0x000

The value for angle 2 = 4x-4 and ∠4 = x+50 is 68°.

It is important to note that vertical angles are equal.

It was stated that ∠2 = 4x-4 and ∠4 = x+50 are vertical angles. This will be represented as:

4x - 4 = x + 50

Collect like terms

4x - x = 50 + 4

3x = 54

Divide

x = 54 / 3

x = 18

Therefore, the angle will be:

= x + 50

= 18 + 50

= 68°

The complete details is written below.

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∠2 = 4x-4 and ∠4 = x+50 are vertical angles. Find the value of the angle.

Answer:  B    3x\(\sqrt{2xy}\)

Step-by-step explanation:

\(\sqrt{18x^{3}y }\)                             > break up into perfect squares

=\(\sqrt{2(9)x^{2} xy}\)                       >√9=3   and        √x² =x

=3x\(\sqrt{2xy}\)

The correct answer is B. The derivative is 2x - 49.

To find the derivative of the function (x - 50 + (x + 1)), we can apply the product rule, which states that the derivative of the product of two functions is the first function times the derivative of the second function, plus the second function times the derivative of the first function.

Let's break down the given function into its components:

f(x) = (x - 50) + (x + 1)

To differentiate this function, we can consider each term separately:

Term 1: (x - 50)

Term 2: (x + 1)

Now, applying the product rule, we differentiate each term and combine the results:

Derivative of Term 1 = 1  (since the derivative of x is 1)

Derivative of Term 2 = 1  (since the derivative of x is 1)

Using the product rule, the derivative of the function is:

f'(x) = (x - 50) * 1 + (x + 1) * 1

f'(x) = x - 50 + x + 1

f'(x) = 2x - 49

Therefore, the correct answer is B. The derivative is 2x - 49.

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560 miles would 35 inches be on the map.

What is distance?

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given:

The distance between two cities on a map is 25 inches.

The actual distance between the two cities is 400 miles.

We have to find the how many miles would 35 inches be on the map.

As the distance between two cities on a map is 25 inches but the actual distance between the two cities is 400 miles.

⇒ 400/25 = 16 miles would be map in a one inches.

⇒ 16 x 35 = 560 miles would be map in a 35 inches.

Hence, 560 miles would 35 inches be on the map

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Answer:

9. 400,000

10. 1,848,800,000

11. .00083

12. .000003582

13. 0.0297

14. 6400

15. 84560000

16. .0000906

Hope this helps!!!

Step-by-step explanation:

\(5x + 3x - 4 = 10 + 8x \\ 8x - 4 = 10 + 8x \\ 8x - 8x = 10 + 4 \\ = 14\)

Since x has been eliminated (8x-8x = 0), there are no solutions in this equation.

£40 is shared as £5, £15 and £20. 88p is shared as 16p, 32p and 40p. 180° is shared as 40°, 40° and 100°

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

a) Share £40 in the ratio 1:3:4

For the first ratio = (1/8) * £40 = £5

For the second ratio = (3/8) * £40 = £15

For the third ratio = (4/8) * £40 = £20

b) Share 88p in the ratio 2:4:5

For the first ratio = (2/11) * 88p = 16p

For the second ratio = (4/11) * 88p = £32

For the third ratio = (5/11) * 88p = 40p

c) Share 180° in the ratio 2:2:5

For the first ratio = (2/9) * 180° = 40°

For the second ratio = (2/9) * 180° = 40°

For the third ratio = (5/9) * 180° = 100°

The ratios are shown above

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The data set that lists the temperatures in Albany, NY each day in the month of February would be classified as time series data, as it represents a sequence of observations recorded over a specific period of time.

Time series data refers to a collection of observations or measurements taken at regular intervals over time. In the case of the temperatures in Albany, NY each day in the month of February, the data set represents a sequence of daily temperature measurements recorded over the specific period of February. The data set captures the variation and patterns of temperature changes throughout the month, allowing for analysis of seasonal trends, fluctuations, and other temporal patterns. Time series data is commonly used in various fields, such as weather forecasting, economic analysis, and environmental monitoring, to understand and predict trends and patterns over time.

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The correct slope of the tangent line to y = f(t)g(2) at the point where r = 3 is 21, not 14 as Adam entered.

To find the slope of the tangent line to the function y = f(t)g(2) at the point where r = 3, we can use the product rule of differentiation. Let's analyze Adam's approach and identify the mistake(s).

Adam's mistake is in assuming that the slope of the tangent line to y = f(x)g(x) at the point where x = 3 is simply the product of the slopes of the individual tangent lines to f(x) and g(x) at x = 3. This assumption is incorrect because the product rule accounts for the interaction between the two functions.

To find the slope of the tangent line to y = f(t)g(2) at the point where r = 3, we need to apply the product rule:

(dy/dt) = (f'(t) * g(2)) + (f(t) * g'(2))

Given the information provided, we know:

f(3) = 5

f'(3) = 2

g(3) = -7

g'(3) = 7

Now, let's substitute these values into the product rule equation:

(dy/dt) = (f'(t) * g(2)) + (f(t) * g'(2))

(dy/dt) = (2 * g(2)) + (f(t) * 7)

(dy/dt) = (2 * g(2)) + (5 * 7)

(dy/dt) = (2 * g(2)) + 35

Since we are interested in the slope at the point where r = 3, we substitute r = 3 into the equation:

(dy/dt) = (2 * g(2)) + 35

(dy/dt) = (2 * (-7)) + 35

(dy/dt) = -14 + 35

(dy/dt) = 21

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Answer:

Y = 2x + 4

Step-by-step explanation:

The slope (rise / run) is 2 and the y-intercept is 4.

Hope this helps. Pls give brainliest.

Answer:

One solution                    

Step-by-step explanation:

5x + y = 8

15x + 15y = 14

Lets solve using substitution, first we need to turn "5x + = 8" into "y = mx + b" or slope - intercept form

So we solve for "y" in the equation "5x + y = 8"

5x + y = 8

Step 1: Subtract 5x from both sides.

5x + y − 5x = 8 − 5x

Step 2: 5x subtracted by 5x cancel out and "8 - 5x" are flipped

y = −5x + 8

Now we can solve using substitution:

We substitute "-5x + 8" into the equation "15x + 15y = 14" for y

So it would look like this:

15x + 15(-5x + 8) = 14

Now we just solve for x

15x + (15)(−5x) + (15)(8) = 14(Distribute)

15x − 75x + 120 = 14

(15x − 75x) + (120) = 14(Combine Like Terms)

−60x + 120 = 14

Step 2: Subtract 120 from both sides.

−60x + 120 − 120 = 14 − 120

−60x = −106

Divide both sides by -60

\(\dfrac{ -60x }{ -60 } = \dfrac{ -106 }{ -60 }\)

Simplify

\(x = \dfrac{ 53 }{ 30 }\)

Now that we know the value of x, we can solve for y in any of the equations, but let's use the equation "y = −5x + 8"

\(\mathrm{So\:it\:would\:look\:like\:this:\ y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}\)

\(\mathrm{Now\:lets\:solve\:for\:"y"\:then}\)

\(y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}\)

\(\mathrm{Express\: -5 \times \dfrac{ 53 }{ 30 }\:as\:a\:single\:fraction}\)

\(y = \dfrac{ -5 \times 53 }{ 30 } +8\)

\(\mathrm{Multiply\:-5 \:and\:53\:to\:get\:-265 }\)

\(y = \dfrac{ -265 }{ 30 } +8\)

\(\mathrm{Simplify\: \dfrac{ -265 }{ 30 } \:,by\:dividing\:both\:-265\:and\:30\:by\:5} }\)

\(y = \dfrac{ -265 \div 5 }{ 30 \div 5 } +8\)

\(\mathrm{Simplify}\)

\(y = - \dfrac{ 53 }{ 6 } +8\)

\(\mathrm{Turn\:8\:into\:a\:fraction\:that\:has\:the\:same\:denominator\:as\: - \dfrac{ 53 }{ 6 }}\)

\(\mathrm{Multiples\:of\:1: \:1,2,3,4,5,6}\)

\(\mathrm{Multiples\:of\:6: \:6,12,18,24,30,36,42,48}\)

\(\mathrm{Convert\:8\:to\:fraction\:\dfrac{ 48 }{ 6 }}\)

\(y = - \dfrac{ 53 }{ 6 } + \dfrac{ 48 }{ 6 }\)

\(\mathrm{Since\: - \dfrac{ 53 }{ 6 }\:have\:the\:same\:denominator\:,\:add\:them\:by\:adding\:their\:numerators}\)

\(y = \dfrac{ -53+48 }{ 6 }\)

\(\mathrm{Add\: -53 \: and\: 48\: to\: get\: -5}\)

\(y = - \dfrac{ 5 }{ 6 }\)

\(\mathrm{The\:solution\:is\:the\:ordered\:pair\:(\dfrac{ 53 }{ 30 }, - \dfrac{ 5 }{ 6 })}\)

So there is only one solution to the equation.

Answer:

x=7   Thx pls mark as brainliest

Step-by-step explanation:

In order for a polygon to be a parallelogram, the polygon needs to be a four-sided rectangle type shape, with two sets of parallel sides.

For this square to be a parallelogram, all  

4

angles need to be  

90

º

. This will give us to the two sets of parallel sides.

Knowing this, and the fact that on of the angles is being bisected, we need only multiply the defined angle by two and set it equal to  

90

.

\(\sf{hey\:}\) \(\sf\cancel{mate\:Here\:}\) \(\sf\red{is\:ur\:answer}\)

\( - 4x - 10x = - 14x\)

Answer:

-14x

Step-by-step explanation:

Subtract 10 from -4,

(With negatives subtracting is basically adding a negative and adding is basically taking away a negative)

hope this helps :)

Answer:

D) y = (x+1)^2

Step-by-step explanation:

Given the graph, the y-intercept is 1, and the x-intercept is -1. Only equation that works is D:

When we plug in x=-1:

y=(-1+1)^2

y=0

This is shown on the graph

When we plug in y=1:

1=(x+1)^2

1=x+1

0=x

x=0

This shows up on the graph