X and y are integers

Answer:

120%

Convert fraction (ratio) 30 / 25 Answer: 120%

Answer:

120%

Step-by-step explanation:

Just divide the numerator(30) by the denominator(25).

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

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The equation of the line in slope intercept form and point-slope form passing through ( 0, 3 ) and ( - 3, - 3) is y = 2x + 3 and y + 3 = 2( x + 3 ) respectively.

Consider the plotted graph,

The two points on the line are ( 0, 3 ) and ( - 3, - 3 ).

Let the points ( 0, 3 ) and ( -3, -3 ) be ( x₁, y₁ ) and ( x₂, y₂ ) respectively.

Then the slope of the line will be:

m = ( y₂ - y₁ ) / ( x₂ - x₁)

m = ( - 3 - 3 ) / ( - 3 - 0 )

m = - 6 / - 3

m = 2

Now, the equation of the line is given as:

y = mx + b

Since the line passes through ( 0, 3 ).

3 = 2(0) + b

b = 3

Hence, the equation of the line in slope intercept form is y = 2x + 3.

The equation of the line in point-slope form with slope 2 and passing through the point ( - 3, - 3).

y - y₁ = m( x - x₁ )

y + 3 = 2( x + 3 )

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The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)

Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:

g(x) = f(x + 2) - 4

Substituting\(f(x) = x^2:\)

\(g(x) = (x + 2)^2 - 4\)

Expanding the square:

\(g(x) = x^2 + 4x + 4 - 4\)

Simplifying:

\(g(x) = x^2 + 4x\)

Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:

\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)

Therefore, the function g(x) in the form a(x-h)^2 + k is:

\(g(x) = (x + 2)^2 - 4\)

Where a = 1, h = -2, and k = -4.

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The initial velocity of the car before the brake was pulled is 30m/s

From the question, we have the following parameters that can be used in our computation:

A car pulls the emergency hand brake, accelerating at -4.0 m/s2 for 7.5 seconds

This means that

Acceleration = -4.0m/s^2

Time = 7.5 seconds

Using the above as a guide, we have the following:

Initial velocity = -Acceleration  * Time

substitute the known values in the above equation, so, we have the following representation

Initial velocity = 4  * 7.5

Evaluate

Initial velocity = 30

Hence, the initial velocity is 30

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Answer:

Luis.

Step-by-step explanation:

180-90-20-40= 30

A triangle's angles have to make up 180 degrees, thus Luis is correct.

The value of angle BAC is  43.5⁰.

The value of arc angle BC is  96⁰.

The value of angle 1 is 10⁰.

The value of angle BAC is calculated as follows;

m∠ BAC = ¹/₂ (BMC) (angle at center is half of the angle at circumference)

m∠ BAC = ¹/₂ ( 87 )

m∠ BAC = 43.5⁰

The value of arc angle BC is calculated by applying intersecting chord theorem as follows;

arc BC = 2 x m∠BAC (interior intersecting secants)

arc BC = 2 x 48⁰

arc BC = 96⁰

The value of angle 1 is calculated as follows;

m∠1 = ¹/₂ ( 85⁰ - (360 - (140 + 85 + 70) )

m∠1 = ¹/₂ (85 - 65 )

m∠1 = ¹/₂ (20)

m∠1 = 10⁰

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let x represent the number of milliliters she should add and the equation represents this situation is 0.18(100) + 0.25x = 0.2(100 + x).

Acid makes up number 0.18(100) = 18 cc of the 18% solution.

Let's suppose Sam needs to blend x millilitres of the 25% fluid.

0.25x times as much acid is present in x millilitres of the 25% solution.

Acid should make up 0.2(100 Plus x) of the entire mixture.

Therefore, 0.18(100) + 0.25x = 0.2(100 + x) represents this scenario mathematically.

Acid makes up 0.18(100) = 18 cc of the 18% solution. Let's suppose Sam needs to blend x millilitres of the 25% fluid. 0.25x times as much acid is present in x millilitres of the 25% solution. Acid should make up 0.2(100 Plus x) of the entire mixture. As a result, 0.18(100) + 0.25x = 0.2(100 + x) represents this scenario mathematically.

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Answer:

c) none of the above

Step-by-step explanation:

this is because we should put the equation like:

1/3 - (-4/3) because the distance is 5 units and

1/3 + 4/3 = 5/3

this is because (-) × (-) = (+)

1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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Step-by-step answer:

Step 1: Moving up 3 units.

- Before: \(f(x) = x + 1\)

- After: \(f(x) = x + 4\)

Step 2: Reflect f (x) over the y-axis.

- Before: \(f(x) = x + 4\)

- After: \(f(x) = -x + 4\)

Hope this help!

Answer:

The least common denominator for 1/3 and 5/11 is 33, and the least common denominator for 4/5 and 1/6 is 30! Hope this helps.

Step-by-step explanation:

Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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Answer:

x = -3

y = -2

Step-by-step explanation:

3x-8y = 7

-3x+13y = -17

5y = -10

y = -2

Now put -2 in for y and solve for x

3x -8(-2) = 7

3x + 16 = 7

3x = -9

x = -3

Let's check

3(-3) -8(-2) = 7

-9 + 16 = 7

7 = 7

So, x = -3 and y = -2 is the correct answer.

The three transformations—rotations, reflections, and translations—can be combined to produce congruent shapes. The truth is that any pair of congruent shapes can be matched to one another by combining one or more of these three transformations.

A point, line, or geometric figure has four different transformations that can be applied to alter its appearance. While the term "Image" refers to the position and final shape of the object, "Pre-Image" refers to the object's shape before transformation.

Given Information

The size and shape of the figures are preserved during stiff transformations, as we already know (reflections, translations, and rotations). Always in harmony with one another is the pre-image.

These transformational skills are all possessed by Matt:

Reflection

The reason a reflection maintains its original form Similar spots from the pre-image to the image remain apart from the line of reflection.

The transformation of rotations into congruence

Any rotating figure will twist. Although it is the same size and shape as before, the figure appears to have toppled over. A clock is a perfect example of how rotation works in real life. A clock's connecting arms turn around its axis every hour or every day. A rotation's degree determines what kind of rotation it is; typical rotations include 90, 180, and 270 degrees. Before turning around and going back to where it started, the figure does a full 360-degree turn. the direction of a rotation, whether it be clockwise or counterclockwise. The degree, amount, and other factors can be determined using this information .a revolution's speed, direction, etc.

Transformative translational congruence

When an object or shape is moved without altering its size, shape, or orientation, the movement is referred to as a translation. When doing a translation, also known as a slide, every point on an object or shape is moved uniformly and in one direction.

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Answer:

Step-by-step explanation:

formulas you need to know off the top of your head.

P = 2*L + 2*W

A= L*W

plug in what we are given

96 = 2*L + 2*W

407 = L*W

we are also given this.

L =3*W+4

There are two methods for solving this,  the substitution method or the elimination method.  Both work well,  and it's more of an choice of which method you prefer.

In our given problem,  elimination method on the top two equations would get rid of both the L and the W, so let's go for the substitution method.

let's substitute in L , from the 3rd equation into L of the 1st equation

96 = 2(3*W+4 ) +2W

96 = 6W +8 +2W

96 -8 = 8W

88 = 8W

11 =W

Nice !  now we've got W

use the 2nd equation with our found value for W

407 = L * 11

37 = L

nice now we have both dimensions :)

Answer:

--------------------------------

Use perimeter formula

Substitute L = 3W  + 4

Find L

Answer:

C. -5/4x + 2

Step-by-step explanation:

just distribute the 1/4 to each number and add common factors

Answer:

Answer is -43

Step-by-step explanation:

1/5(40-p)= -3/5

40-p = (-3/5)/(1/5)

40-p = -3

-p = - 43

p = 43

Answer: 2

Step-by-step explanation:

80 x 50 x 60 is volume of tank

240000

Water is already filled to 45 so volume up to that is

80x 50 x 45 = 180000

Subtract to find the difference needed to fill tank

240000 - 180000 = 60000

The volume of water to completely fill the tank is A) 240,000cm³.

Volume is defined as the amount of three-dimensional space occupied by some close object.

We know the volume of a cuboid is (Height×Width×Length).

Given a rectangular water tank is 80m long, 50m wide and 60m in height and the depth of the water is 45m.

To obtain the volume of water we have to take 45m as the height or we can think of the height of the tank is 60m but water can only be filled up to 45m.

∴ The volume of the water is (80×50×45) m³.

= 180,000 m³.

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Hello !

28   23   18   13    8  ...

Para ir de izquierda a derecha, restamos 5 cada vez.

y=-3x-2

Hope it helps.

Do comment if you have any query.

Answer:

\(\Longrightarrow: \boxed{\sf{y=-3x+2}}\)

Step-by-step explanation:

The slope-intercept form is used to write linear equations.

Slope-intercept form:

\(\Longrightarrow: \sf{y=mx+b}\)

The m represents the slope.

The b represents the y-intercept.

The slope is -3.

The y-intercept is 2.

y=-3x+2

I hope this helps! Let me know if you have any questions.

\( \frac{2}{3} \times \frac{1}{7} = \frac{2}{21} \)

\(hopefully \: it \: helps \\ have \: a \: nice \: day \: ahead\)

The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6

To determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.

These algebraic expressions are also identified with the presence of arithmetic operations,

These operations are;

From the information given, we have that;

7x^7+10x^4+4x^3-5x^11-10x^6-6x^7

collect the like terms

7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6

add the like terms

x^7+10x^4+4x^3-5x^11-10x^6

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It should be noted that the domain is the set of all inputs over which the function is defined.

It should be noted that the information is incomplete. Therefore, an overview will be given. The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as .

It should be noted that the range of a function is the set of values that the function assumes.

To find the domain and range, we solve the equation to determine the values of the independent variable x and obtain the domain.

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Answer:

28cm^2

Step-by-step explanation:

4 x 7

Answer:

no sé nada de inglés we ya me entiendes si supiera te ayudará pero eso está difícil busca por internet

Hence, the commutative property of addition is not used.

What is an expression?

A mathematical expression is in form of variables and constants separated by their arithmetic operation.

As we know that, there are three types of properties they are associative property which is \((a+b) + c = a + (b+c)\),

Distributive property which is \(a(b+c) = ab + ac\),

Commutative property which is \(a + b = b + a\).

Here given that,

\(2 (x+5)+7x=(2x+10)+7x\)      

\((2x+10)+7x=(2x+10)+7x\)         ( distributive property of multiplication)

\((2x+7x)+10=(2x+7x)+10\)        ( it is associative property of addition)

\((8x)+10=(8x)+10\)        ( it is a commutative property)

Hence, the commutative property of addition is not used.

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The quantity of items tha must be made for supply to equal demand is 2050 items

Demand simply means a consumer's desire to buy goods and services without any hesitation and pay the price for it.

To calculate the unit of quantity Q that must be made for demand to be equal to supply, we equate the demand and supply equation.

From the question,

For Demand

From Supply,

When supply is equal to demand

Solve for P

Substitute the values of P into equation 1

Hence, the quantity of items tha must be made 2050 items.

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