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Answer:

Slope m = 5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 5x + 12

Step 2: Break Function

Identify Parts

Slope m = 5

y-intercept b = 12

Answer:

Thus, the equation of line for point (-1, 2)  is y = x + 3.

Step-by-step explanation:

Answer:

The equation of the line is y = x + 3.

Step-by-step explanation:

A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.

y = mx + b

y = 1 * -1 + b

y = -1 + b

b = y + 1

b = 2 + 1

b = 3

Answer:

∂z/∂x = 3x^2 + 6y

∂z/∂y = 6x - 3y^2

Now, we need to solve the system of equations:

3x^2 + 6y = 0

6x - 3y^2 = 0

From the first equation, we get:

y = -x^2/2

Substituting this into the second equation, we get:

6x - 3(-x^2/2)^2 = 0

Simplifying, we get:

6x - 3x^4/4 = 0

Multiplying by 4 and rearranging, we get:

3x^4 - 24x = 0

Factoring out 3x, we get:

3x(x^3 - 8) = 0

Therefore, the critical values of x are x = 0 and x = 2.

For x = 0, we have y = 0 (from y = -x^2/2). So, one critical point is (0, 0).

For x = 2, we have y = -2. So, the other critical point is (2, -2).

To find the critical values of the function, we need to evaluate the function at each critical point:

z(0, 0) = 0^3 + 6(0)(0) - 0^3 - 1 = -1

z(2, -2) = 2^3 + 6(2)(-2) - (-2)^3 - 1 = -13

Therefore, the critical values of the function are -1 and -13.

Answer:

The formula that is used to calculate the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism and S1, S2 and S3 ...

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

the answer is 77

Step-by-step explanation:

A measures 32 and B measures 109 so you subtract 109 and 32 and your answer will be 77

Check the picture below.

Answer: C. The third graph.

Step-by-step explanation:

A function assigns the values. The graph of the function f(x) = 2(x – 1)2(x + 1)(x + 2) can be drawn as shown below.

A function assigns the value of each element of one set to the other specific element of another set.

A function assigns the values. The graph of the function f(x) = 2(x – 1)2(x + 1)(x + 2) can be drawn as shown below.

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a) The smallest number of tiles needed to make a square is 3.

b) The smallest number of tiles needed to make a square is 11.

a) To make a square using rectangular tiles that are 12 cm long and 4 cm wide, we need to find the side length of the square that is divisible by both 12 and 4. The smallest common multiple of 12 and 4 is 12, so a square with a side length of 12 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 12 cm ÷ 4 cm = 3.

Therefore, the smallest number of tiles needed to make a square is 3.

b) To make a square using rectangular tiles that are 11 cm long and 3 cm wide, we need to find the side length of the square that is divisible by both 11 and 3. The smallest common multiple of 11 and 3 is 33, so a square with a side length of 33 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 33 cm ÷ 3 cm = 11.

Therefore, the smallest number of tiles needed to make a square is 11.

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Answer:

The solution must be larger then 5.

Step-by-step explanation:

If the solution was smaller then 5 or equal to 5 the answer wouldn't be negative

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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Answer and explanation:

Probability = number of favorable outcomes/ total number of outcomes

Since all glasses labelled C, D, and P are all same Cola

Probability that C is ranked first = 1/3

Probability that D is ranked last = 1/3

the probability that x is 4 is given by the formula  P(x) = \((1 - p)^(x-1) * p\)

The formula for the probability of a geometric distribution is \(P(x) = (1 - p)^(x-1) * p\)

Given the probability of success (p) is 0.3, the probability of x being 4 would be:\(P(x) = (1 - 0.3)^(4-1) * 0.3\)

P(x) = 0.0729 or 7.29%

The geometric distribution is a probability distribution for the number of failures before the first success in a series of independent trials.

In this problem, the probability of success (p) is 0.3 and the probability of failure (1-p) is 0.7.

Therefore, the probability that x is 4 is given by the formula  \(P(x) = (1 - p)^(x-1) * p\)

Plugging in the values of p and x, we get:

\(P(x) = (1 - 0.3)^(4-1) * 0.3\)

This simplifies to

P(x) = 0.0729 or 7.29%

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Answer:

\(x = \frac{39}{2}\)

\(y = -\frac{29}{2}\)

Step-by-step explanation:

Given

\(x + y= 5\) --- (1)

\(7x + 9y = 6\) ---- (2)

Required

Find x and y

Make x the subject in (1)

\(x + y= 5\)

\(x = 5 - y\)

Substitute 5- y for x in (2)

\(7x + 9y = 6\)

\(7(5 - y) + 9y = 6\)

Open bracket

\(35 -7 y + 9y = 6\)

Collect like terms

\(-7y + 9y = 6 - 35\)

\(2y = -29\)

Divide both sides by 2

\(y = -\frac{29}{2}\)

Substitute this for y in \(x = 5 - y\)

\(x = 5 - (-\frac{29}{2})\)

\(x = 5 +\frac{29}{2}\)

L.C.M

\(x =\frac{10+29}{2}\)

\(x = \frac{39}{2}\)

The first multiple of 2 greater than 100 is 102.

\(\therefore\) 102 the first multiple of 2 greater than 100.

First we have to know how to express, mathematically, what is a multiple of 2.

Any number multiplied by 2 is its multiple, that is, they are INFINITE.

If we want a multiple of 2 that exceeds the number 100, it is simple to add 2.

\( \bold{100 \: + \: 2 \: = \boxed{ \bold{102}}}\)

\(\therefore\) 102 the first multiple of 2 greater than 100.

Answer:

Use the formula which is shown above.

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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Comparing the three in their simplest form we have the smallest ratio as 3 to 4.

A mathematical phrase that compares two values is called a ratio. It is written as the product of the division of two different quantities. As in 2:1 or 2/1, ratios are frequently expressed as a fraction or with a colon.

Mathematicians employ ratios in many different contexts, such as arithmetic, algebra, and geometry. They are used to compare amounts, identify equivalent values, and resolve proportional and rate-of-change issues.

Convert the ratios in their simplest form:

3 to 4 can be simplified by dividing both terms by their greatest common factor, which is 1. Therefore, 3 to 4 is already in its simplest form.

10 to 12 can be simplified by dividing both terms by their greatest common factor, which is 2. So, 10 to 12 simplifies to 5 to 6.

2 to 1 is already in its simplest form.

Thus, comparing the three we have the smallest ratio as 3 to 4.

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Answer:

A) 13/20

Step-by-step explanation:

65% in simplest form,

65/100

= 13/20 (Divided by five)

Answer:

\(\frac{13}{20}\).

Step-by-step explanation:

We can begin by converting 65% to a fraction over 100. 65% converts to 0.65, or \(\frac{65}{100}\).

We can simplify this down. Both 65 and 100 share a common factor of 5, which allows us to produce a new fraction:

\(\frac{65}{100} = \frac{13}{20}\)

Therefore, the simplified version is \(\frac{13}{20}\).

Answer:

2,0

..........

Answer:

437 to the nearest ten is 440, hope this helps

From the information given, the total length of the stream will be 548.89 meters

The length of the first stream =  45.27 meters

The length of the second stream = 503.62 meters

The total length of the stream will be equal to the addition of the length of the first stream and the second stream and this will be:

= 45.27 meters + 503.62 meters

= 548.89 meters

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Answer

The correct answer iss 548.89

Step-by-step explanation:

45.27+503.62=548.89

Hope this helps!

Answer:

yeah I say the answer is 47°f

Answer:

47°F

Step-by-step explanation:

9-6=3

2×3=6

53-6=47

Answer:

Step-by-step explanation:

26/7

Answer:

Ax: x=2y+5

Ay: y= 1/2 x+ -5/2

Bx: x=5/3+8/3

By: y=3/5x+-8/5

Step-by-step explanation:

if you're asking for the intersect solution: (-9,-7)

I hope one of those answers can help you :3

Answer: 235.5

Step-by-step explanation:

CYLINDER VOLUME FORMULA

V = pi * r^2 * h

V = 3.14 * 5^2 * 3

V = 3.14 * 25 * 3

V = 3.14 * 75

V = 235.5

Answer:

235.62

Step-by-step explanation:

formula: V=π\(r^{2}\)h=π·\(5^{2}\)·3

Answer:

  AB = 8

Step-by-step explanation:

Since C is the midpoint, ...

  AC = CB

  5x -6 = 2x

  3x = 6 . . . . . . . add 6-2x

  x = 2

Then the length of AB is ...

  AB = 2(CB) = 2(2x) = 4(2)

  AB = 8

Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6