You are building a brick patio. the length of the patio is (x+11) feet.

the total area of the patio can be represented by x^2+14x+33. write an expression for the width of the patio

The inverse of a quadratic parent function with a limited domain is given by the square root function, hence option C is correct.

Supposing we have a function y = f(x), to find the inverse, we exchange x and y, and isolate y.

The quadratic function is:

[tex]y = x²[/tex]

Exchanging and isolating y:

[tex]x = y^2[/tex]

[tex]y^2 = x[/tex]

[tex]y = \sqrt{x}[/tex]

[tex]f^{-1}(x) = \sqrt{x}[/tex]

Hence option C is correct.

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Answer:

almost 567 students

Step-by-step explanation:

all fruits = 23+18+34+27+18 = 120

possibility of selecting an orange as favourite fruits by one student = 34/120 = 17/60

possibility of selecting an orange as favourite fruits by 2000 students = 17/60×2000 =1700/3 = 566.6666...=567 students

Answer:

Improper fraction

Step-by-step explanation:

2×3/5

=6/5 i.e Improper fraction

Answer:

(x+8)(4x-9)

Step-by-step explanation:

Rewrite expression 4x^2 + 32x - 9x - 72

Factor out 4x  4x(x+8) - 9x - 72

Factor out x+8  4x(x+8) - 9(x+8)

Simplify (x+8)(4x-9)

Answer:12-16=-4

Step-by-step explanation:the answer is the same way it’s just flipped

A circle can be characterized by its center's location and its radius' length. The correct option is A.

A circle can be characterized by its center's location and its radius' length. Let the center of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units. Then, the equation of that circle would be:

(x-h)² + (y-k)² = r²

The given graph is the graph of a circle that has its origin at (0,0) and has a radius of 4 units, therefore, the equation will be,

(x-0)² + (y-0)² = 4²

x² + y² = 16

Multiply both the sides of the equation by 2,

2x² + 2y² = 32

Hence, the correct option is A.

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Answer:

A ≈ 9.6 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = product of 2 sides × sin (angle between them ) , that is

A = 3 × 5 × sin40° = 15 × sin40° ≈ 9.6 units² ( to the nearest tenth )

For both problems, we can use the section formula.

1) [tex]P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}[/tex]

2) [tex]Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}[/tex]

Answer:

b = 1/3

Step-by-step explanation:

The general structure of equations in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

The given equation is already in slope-intercept form. In other words, you have already been given "m" and "b". Therefore, the value which corresponds with the y-intercept is (1/3).

f(x) = mx + b

f(x) = -(2/9)x + 1/3

The approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Here, given equation; (we are using n in place of t)

          -5.e¹⁰ⁿ = -30

      On dividing -5 both sides, we get

           -5.e¹⁰ⁿ/-5 = -30/-5

                e¹⁰ⁿ  = 6

 Taking 'ln' on both side, we get

             10n = ln 6

              n = (ln 6)/10

              n = 1.791759/10

              n = 0.179

Thus, the approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.

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Answer:

(X+3)(x-10)

(X+3)(X+2)

Answer:

The answer with 4 cubes 2x2

Step-by-step explanation:

D it has 5 cubs in all,if you see A,B,C,they do not have cuds

The number of doctors that would be needed for the 35-bed wing is 38.

The first step is to determine the number of doctors needed for one bed : 463 / 423

The second step is to multiply the ratio gotten in the first step by the number of beds in the new wing: (463 / 423) x 35 = 38.21 = 38

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The values of x and y from the figure are 22.5 and 10 respectively

The angles that meet at a point X are equal and vertically opposite

From the diagram shown

6x - 5 = 8x - 50

6x - 8x = -50 +  5

-2x = -45

x = 22.5

Similarly

2y + 30 = 3y + 20

2y - 3y = 20 - 30

-y = -10

y = 10

Hence the values of x and y from the figure are 22.5 and 10 respectively

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[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

Since the two lines intersects each other we can conclude that :

and

[ That's because they form vertical opposite angle pair ]

So, let's solve for x and y ~

[tex]\qquad \sf  \dashrightarrow \:6x - 5 = 8x - 50[/tex]

[tex]\qquad \sf  \dashrightarrow \:8x - 6x = - 5 + 50[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 45[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{45}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 22.5[/tex]

And

[tex]\qquad \sf  \dashrightarrow \:2y + 30 = 3y + 20[/tex]

[tex]\qquad \sf  \dashrightarrow \:3y - 2y = 30 - 20[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 10[/tex]

I hope the steps are clear ~ let me know if you have doubts ~

[tex]g = \frac{x}{5} - \frac{6}{5x} - \frac{3}{5} [/tex]

Step-by-step explanation:

[tex]3 + 5g = \frac{ {x}^{2} - 6 }{x} \\ 5g = x - \frac{6}{x} - 3 \\ g = x - \frac{ \frac{6}{x} - 3}{5} \\ g = \frac{x}{5} - \frac{ \frac{6}{x} }{5} - \frac{3}{5} [/tex]

Answer:

46 degrees

Step-by-step explanation:

The quotient when 48a³bc²is divided by 3abc will be 16a²c.

The information given is that we should find the quotient of 48a³bc² ÷ 3abc.

This can be expressed as:

48a³bc² ÷ 3abc = (3 × 16 × a³ × b × c²) / (3 × a × b × c)

= 16a²c

In this case, the quotient when 48a³bc²is divided by 3abc will be 16a²c.

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Answer:

8/27

Step-by-step explanation:

So an exponent is basiclly when you multiply the number as many times as the exponent says. In this case it saying 3 so you would do 2/3*2/3*2/3 and then you would get 8/27. I hope this helps.

5 blue, 4 red = 9 total

Probability (Blue, Blue)  = 5/9 x 5/9 = 25/81 = 0.30864

Probability (Red, Red) = 4/9 x 4/9 = 16/81 = 0.19753

Probability (Blue,Blue) or (Red,Red) = 25/81 + 16/81 = 41/81 = 0.506173

Fraction answer = 41/81

Decimal answer = 0.506173 (round off as needed)

Answer:

[tex] \frac{32}{45} [/tex]

Step-by-step explanation:

if the multiplication of two numbers is 16)9, and one of the numbers is 5/2. then the other number can be found by dividing the number from the product to get the other number.

The expression g = 2hm can be written as in terms of g and h when m is the subject is m = g/2h.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

g  = 2hm

To make m as the subject and solve it:

Divide the above expression by 2h on both sides:

g/2h = m  or

m = g/2h

Thus, the expression g = 2hm can be written as in terms of g and h when m is the subject is m = g/2h.

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Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

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The volume of the right squared pyramid with the given base edges and slant height is 32768 cubic centimeters.

The volume of a square pyramid is expressed as;

V = (1/3)a²h

Where a is the base length and h is the height of the pyramid

Given that;

First, we determine the height of the pyramid using Pythagorean theorem.

c² = a² + b²

(40cm) = (32cm)² + h²

1600cm² = 1024cm² + h²

h² = 1600cm² - 1024cm²

h² = 576cm²

h = √576cm²

h = 24cm

Now, we calculate the volume of the right square pyramid;

V = (1/3)a²h

V = (1/3) × (64cm)² × 24cm

V = (1/3) × 409664cm² × 24cm

V = 32768cm³

Therefore, the volume of the right squared pyramid with the given base edges and slant height is 32768 cubic centimeters.

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Answer:

25

Step-by-step explanation:

c^2=a^2+b^2

where c = hypotenuse

so, x^2 = 24^2+7^2

x^2 = 576 + 49

x^2 = 625

x = square root of 625

x = 25

The type of data that would be best displayed in a dot plot is the correspondent to the third option.

A dot plot is a plot where in the horizontal axis different numbers or properties (discrete set, usually we want smaller ranges, just so the graph are easier to read.) are marked, and above these, we mark dots, that represents how many times these are repeated on the data set.

We don't want large ranges (like in the first option 725 to 2450) because it means that we need to mark 725 points, or we need to find a common factor so each point represents more than one unit.

So, we need to have discrete data and with ranges not to large. The only option that meets both conditions is the third one, where on the horizontal axis we would have each of the 15 school dental clinics, and the dots would represent the number of dentist volunteering on each of them.

Then the correct option is the third one.

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Answer:

3rd option

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The range is the distance between the largest number and the smallest number. To find the range, you take the smallest number and subtract it from the largest number. In this case, the smallest number is -9 and the largest number is 7. 7 minus -9 is a double negative, so you can also do 7+9=16. 16 is the range.

Answer:

1593 pandas 13 years ago.

Difference? ≈271 pandas

Keyword:

"Increase"

Step-by-step explanation:

Use the equation:

x + (x × P%) = y

x(1 + P%) = y

x = 1864/(1 + 17%)

x = 1864/(1 + 0.17(17%))

x = 1864/1.17

x = 1593.1624 ≈ 1593