What are the dimensions of the poster at one-third its current size?

Answer:

x = 20

Step-by-step explanation:

-10x=-200

x = -200/ -10

x = 20

Answer:

A. x^2 (x+2) / 3

Step-by-step explanation:

The operations of the function are explained below in the solution.

Let f(x) and g(x) be given functions.

We combine those two functions using following rule

(f±g)(x) = f(x) ± g(x)

The domain of f±g is the intersection of the domain off and the domain

of g.

We multiply those two functions using the following rule:

(f·g)(x) = f(x)-g(x)

The domain of f·g is the set of all real numbers for which f and g and new

function are defined.

We divide those two functions using the following rule:

f/g (x) = f(x)  / g(x)

The domain of f/g is set of all real numbers for which ƒ and g and new

function are defined.

We combine these two functions using the following rule:

(f ο g) = f(g(x))

We have that the domain of f ο g is the set of all real numbers z, in the

domain of g, such that g(x) is in the domain of f,

We have that the domain of g ο f the set of all real numbers, in the domain of f,  such that f(x) is in the domain of g,

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Final answer:

In mathematics, functions can be combined, multiplied, divided, and composed, and discovering their domain is essential. Combining functions adds their outputs, multiplying them multiplies their outputs, and dividing them divides one output by another. Composing functions applies one to the result of another, with the domain determined by permissible inputs, avoiding division by zero or negative square roots.

Explanation:

When working with functions in mathematics, you can perform several operations, including combining, multiplying, dividing, and composing functions. Finding the domain of the resulting function is crucial as it determines the set of all possible inputs for the function.

Combining Functions

To combine functions (also known as function addition), you simply add the outputs of two functions. For example, if f(x) = 2x and g(x) = x + 3, the combined function is (f + g)(x) = f(x) + g(x) = 2x + (x + 3) = 3x + 3.

Multiplying and Dividing Functions

Multiplying functions involves multiplying the outputs of the functions. If f(x) = 2x and g(x) = x + 3, then[tex](f \cdot g)(x) = f(x) \cdot g(x) = 2x \cdot (x + 3)[/tex]. Dividing functions, on the other hand, involves dividing one output by the other, given that the divisor is not zero.

Composition of Functions

Composing functions refers to applying one function to the result of another function. The composition g o f means applying f first and then g. If h(x) = g(f(x)), you're taking an input x, applying the function f, and then applying g to the result of f(x).

Finding the Domain

The domain of a function is the set of all permissible inputs. To find the domain of a resulting function after performing operations, look for any restrictions such as division by zero or taking the square root of a negative number. For instance, if [tex]f(x) = \sqrt{x}[/tex], the domain is x ≥ 0, as you cannot take the square root of a negative number.

Answer:

Yes

A parallelogram with opposite sides equal to 6 units and 3 units and each of the pair of opposite angles as equal to [tex]50^{\circ}\,,\,130^{\circ}[/tex]

Step-by-step explanation:

Given: A rectangle has side lengths of 6 units and 3 units

To check: If a quadrilateral can be made that is not identical to the given rectangle using the same four side lengths

Solution:

A parallelogram with opposite sides equal to 6 units and 3 units can be made.

Take each of the pair of opposite angles as equal to [tex]50^{\circ}\,,\,130^{\circ}[/tex]

This parallelogram is not identical to rectangle as each of the angle of the rectangle is equal to [tex]90^{\circ}[/tex] but here each of the pair of opposite angles as equal to [tex]50^{\circ}\,,\,130^{\circ}[/tex].

Yes, one can construct another quadrilateral, such as a parallelogram, using the same side lengths of 3 units and 6 units. While both a rectangle and parallelogram are quadrilaterals, a parallelogram is not identical to a rectangle as not all angles in a parallelogram are right angles.

Yes, it is possible to make another quadrilateral with the same side lengths that are not identical to the rectangle.

One of the ways is to make a parallelogram using side lengths of 3 units and 6 units. While a rectangle is a type of parallelogram, the noticeable difference is that not all angles in a parallelogram are right angles. In a rectangle, all angles are right angles, making it a special case of a parallelogram.

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Hey there!

In order for you to find the one that is equivalent to the given expression is to COMBINE YOUR LIKE TERMS then work from there!

12q + q^2 - 8 + q = ?

(q^2) + (12q + q) + (-8)

q^2 = q^2 since it doesn't have any like term(s)

12q + q = 12q + 1q = 13q

-8 = -8 since it doesn't have any like term(s)

Put all the numbers we solved for in An equation and Thats your answer!

If you did it correctly you should have: q^2 + 13q - 8

Answer: q^2 + 13q - 8 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

y - 8 = 7(x - 5)

y - 8 = 7x - 35

y = 7x - 27

Step-by-step explanation:

Answer:

Trapezoid

Step-by-step explanation:

Trapezoid is a type of parallelogram that consist of two obtuse angles and two acute angles

Answer:

Sales amount = $ 300.08

Step-by-step explanation:

Sale amount = selling price + sales tax

Here selling price = $300

sales tax = 8 %

sale amount = 300 + 8%

          = 300 + 8/100

           =( 300 ×100 + 8 )÷100

         = (30000 + 8 ) ÷ 100

          = 30008 ÷ 100

           =$ 300.08

Sales amount = $ 300.08

Answer:

I think   D but not to sure

62.5%...? Taking division into account, the number between 61 and 64 is 62.5 (dont trust me)

Answer:

6 Ways. (I could be wrong. If I am, I will come back and edit)

Step-by-step explanation:

BBBG

BBGB

BGBB

BGBG

BGGG

BGGB

The number of the ways of sitting of the three girls and three boys will be 4.

Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.

Given that there are three boys and three girls at the party. The number of the ways will be calculated as,

N = ⁴C₃

N = (4!) / (3)!(4-1)!

N = 4

Therefore, the number of the ways of sitting of the three girls and three boys will be 4.

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Hello there, to answer your question....

The diameter and radius of a circle with an 18 inch circumference is

I hope the information I have provided helps. :)

The approximate diameter of the circle is 5.73 inches, and the approximate radius is 2.86 inches.

To discover the diameter and radius of a circle with a given circumference, ready to utilize the taking after equations:

Circumference = π * Diameter

Diameter = Circumference / π

Given that the circumference of the circle is 18 inches, able to calculate the diameter as follows:

Diameter = 18 inches / π

To discover the radius, we will utilize the equation:

Radius = Diameter / 2

Let's calculate the values:

Diameter = 18 inches / π ≈ 5.73 inches

Radius = 5.73 inches / 2 ≈ 2.86 inches

Hence,  the approximate diameter of the circle is 5.73 inches, and the approximate span is 2.86 inches.

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Answer:

C

Step-by-step explanation:

all real values of x where 1 < x < 4

All real values of x where 1 < x < 4.

The graph of a function f is the set of all points inside the aircraft of the shape (x, f(x)). We can also define the graph of f to be the graph of the equation y = f(x). So, the graph of a character is a unique case of the graph of an equation.

For graphing functions, we need to plot its asymptotes, its x and y-intercepts, holes, and some factors on it by means of building a desk of values. Then simply join the factor by not touching the asymptotes and maintaining a observation of the area and range of the characteristic.

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jada 2 andre 3 hours

Answer:

D

1.collect like terms (-11x and 6x) which equal -5

2. rewrite equation (-5x-30=0)

3. Move constant to the right hand side and change its sign.(-5x=30)

4. Divide both sides by -5 (30 divided by -5 equal s -6)

Answer:

A = 1.75

Step-by-step explanation:

A = (a+b )/2h

A = (3 + 4) / 2 *2 =

= 7/4 = 1.75

Answer

x=-8

Step-by-step explanation:

so the right answer is 16...

Answer:

A. 210 ft

Step-by-step explanation:

Answer:

y = -1/4x -2

Step-by-step explanation:

We can use the slope intercept form of a line

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

y = -1/4x +b

Substitute the point into the equation

-3 = -1/4(4) +b

-3 = -1 +b

Add 1 to each side

-3 +1 = -1 +1 b

-2 =b

y = -1/4x -2

Answer: The answer should be 35

Step-by-step explanation: If you take 140 divide it by 4 it should be the answer

Answer:342

Step-by-step explanation:100+130+112=342

Final answer:

The breakfast consisting of one scrambled egg, one sausage patty, and an 8 oz. glass of orange juice contains a total of approximately 430 Calories.

Explanation:

The question is about calculating the total calorie content of a breakfast that includes one scrambled egg, one sausage patty, and an 8 oz. glass of orange juice. To answer, we need to know the individual calorie content of each item. Typical values might be around 70 Calories for one large scrambled egg, about 250 Calories for a sausage patty, and approximately 110 Calories for an 8 oz. orange juice.

Add these values together to get the total calorie intake for the meal:

Total Calories = 70 + 250 + 110 = 430 Calories.

We have expression [tex]-5 < x - 4 \geq 1[/tex] that renders the system of inequalities,

[tex]

\begin{cases}

-5 < x - 4 \\

x - 4 \geq 1

\end{cases}

[/tex]

Which can be simplified to,

[tex]

\begin{cases}

x > -1 \\

x \geq 5

\end{cases}

[/tex]

So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,

[tex]x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}[/tex].

Hope this helps.

Final answer:

The gradient of the line perpendicular to a line with a gradient of 2/3 is -3/2 since perpendicular slopes are negative reciprocals of each other.

Explanation:

If the gradient of a line C is 2/3, we need to find the gradient of the line which is perpendicular to C. In mathematics, particularly in coordinate geometry, the slopes (or gradients) of two perpendicular lines are negative reciprocals of each other. This means that if the slope of the first line is m, the slope of the line perpendicular to it will be -1/m.

Therefore, the gradient of the line perpendicular to line C, which has a gradient of 2/3, will be the negative reciprocal of 2/3.

perpendicular = -1 / (2/3) = -3/2

So, the gradient of the line perpendicular to C is -3/2.

Answer:

The dot plot that is most strongly skewed right is the first example

This is because the numbers 4 and 5 are to the right of the graph, and the numbers 4 and 5 in this example are the highest compared to the others.

For example, in this first example, 4 has 7 dots and 5 has 6 dots.

In the rest of the examples, the highest numbers for 4 and 5 are 4 dots and 3 dots

I hope this helps :)

Answer:

x = 6, x = -8

Step-by-step explanation:

Since the Pythagorean Theorem is L^2 + L^2 = H^2, all we have to do is substitute each variable and its equation for our L's.

(x + 2)^2 + (x)^2 = 100

2x^2 + 4x + 4 = 100

2x^2 + 4x - 96 = 0

Using quadratics, sorry, there was no other way, we get:

x = 6 or x = -8.

Check:

6 + 2 = 8^2 = 64

6^2 = 36

64 + 36 = 100 = 10.

-8 works as well.

Therefore, x = 6, x = -8 are correct.

Answer: a= -6 or 8

b=6 or -8

Step-by-step explanation:

From the result in the diagram

X=6 or -8

Remember

A=x+2

Substitute for x=6

A=6+2=8 or

A= -8+2= -6

So how answer for

A= -6 or 8

B=6 or -8

EK=6, KF=6

By the Pythagorean theorem

[tex]6^2+6^2=EF^2\\EF=\sqrt{36+36} \\EF=\sqrt{72}[/tex]

EF≈8,48≈8

Answer: 8 units

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P.S. Hello from Russia :^)

Answer:

The center is [tex](-4,5)[/tex] and the radius is [tex]11[/tex].

Step-by-step explanation:

The center-radius form for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius.

Compare:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](x+4)^2+(y-5)^2=121[/tex]

[tex]-h=4[/tex] implies [tex]h=-4[/tex].

[tex]-k=-5[/tex] implies [tex]k=5[/tex]

[tex]r^2=121[/tex] implies [tex]r=\sqrt{121}=11[/tex].

The center is [tex](-4,5)[/tex] and the radius is [tex]11[/tex].

The center is (-4.5) and the radius is 11.

The center-radius form for a circle is:

⇒ (x-h)²+(y-k)² = r²

where (h,k) is the center and r is the radius.

Compare:

(x-h)²+(y-k)²

(x+4)+(-5)² = 121

-h = 4 implies h = -4.

-k = -5 implies k = 5

r² = 121 implies r = √121= 11,

The center is (-4.5) and the radius is 11.

The center is a fixed point in the middle of the circle; usually given the general coordinates (h, k). The fixed distance from the center to any point on the circle is called the radius.

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Answer:

3 > x

Step-by-step explanation:

0>3x-3-6

Combine like terms

0>3x-9

Add 9 to each side

0+9>3x-9+9

9 > 3x

Divide each side by 3

9/3 > 3x/3

3 > x

Answer:

The answer is B

Step-by-step explanation:

I just took the test got a 100 on it and that is the right answer

Answer: it is b

Step-by-step explanation:

i just took the test on this and i 100 on it

Answer:

Y=h(x)

Y=k(h)

Because they are on positive

The functions y = h(x) and y = k(x) depict exponential growth.

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

The standard form of an exponential equation is y = a(b)ˣ  

where a is the initial value

b is the rate

Exponential decay is where the final value (y) is less than the initial value (a). An example would be the decrease of bacteria in a person

Exponential growth is where the final value (y) is greater than the initial value (a). An example would be the spreading of a rumor.

A graph that is flat in the beginning and instantaneously grows in the vertical direction over a period of time

therefore, y = h(x) and y = k(x) are the functions represent exponential growth.

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Answer:

x=3

Step-by-step explanation:

First, subtract 12 on both sides

36x + 12 = 120

36x=108

Divide by 36 on both sides

x=3

Hope this helps! :)