You and three friends go to a restaurant for dinner.You share three appetizers that cost $6 each. You also share two desserts that cost $3 each.You split the total bill evenly. How much does each person pay.


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Answer:

So 16^3/4 = (the fourth root of 16)^3

Step-by-step explanation:

Initially, we know that 16^3/4 = 8

However, that is not what the question is asking, we need to rewrite 16^3/4 in radical form.

An important point to note is that radical form involves the use of surds, or roots.

Thus, the formula we need to use is this:

a^b/c = (the cth root of a)^b

For example:

8^2/3 = (the cube root of 8)^2

So 16^3/4 = (the fourth root of 16)^3

The quadratic equation that represents the solution is F: p(x) = x² - 49.

The term "quadratic" refers to functions where the highest degree of the variable (in this example, x) is 2. A quadratic function's graph is a parabola, which, depending on the sign of the leading coefficient a, can either have a "U" shape or an inverted "U" shape.

Algebra, geometry, physics, engineering, and many other branches of mathematics and science all depend on quadratic functions. They are used to simulate a wide range of phenomena, including population dynamics, projectile motion, and optimisation issues.

Given that the solution of the quadratic function are x = -7 and x = 7 thus we have:

p(x) = (x + 7)(x - 7)

Solving the parentheses we have:

p(x) = x² - 7x + 7x - 49

Cancelling the same terms with opposite sign we have:

p(x) = x² - 49

Hence, the quadratic equation that represents the solution is F: p(x) = x² - 49.

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Answer:

its z y and x

Step-by-step explanation:

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Yes, 12 refrigerators and 11 pianos overload the truck, because 12 refrigerators and 11 pianos weighs more than 7100 lb.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, a truck that can carry no more than 7100 lb is being used to transport refrigerators and upright pianos

Let the number of refrigerators be x and the number of pianos be y.

Each refrigerator weighs 250 lb and each piano weighs 425 lb.

Here, 250x+425y≤7100

Will 12 refrigerators and 11 pianos overload the truck

Now, put x=12 and y=11 in the inequality 250x+425y≤7100, we get

250×12+425×11≤7100

7675≤7100 not true

Therefore, the inequality represent the given scenario is 250x+425y≤7100.

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The equation of the line is 2x - 3y = 19.

The standard form for linear equations is

ax+by = c

From the question, we have

y + 1 = (2/3)(x - 8)

⇒y + 1 = (2/3)x - (16/3)

Multiply by 3 in both sides, we get

⇒3y + 3 = 2x - 16

Subtract 2x from both sides, we get

⇒-2x + 3y + 3 = - 16

⇒-2x + 3y = -16-3

⇒2x - 3y = 19

Linear equations:

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable).

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.

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Answer: 8 six packs because its cheaper

Step-by-step explanation:

8x2.1=$16.80 and 6x3.12=$18.72

Answer:

66.59 is the answer

Answer:

66.95

Step-by-step explanation:

Answer is 66.95

Answer:

x = -7

Step-by-step explanation:

Given parameters:

Slope of the line = \(\frac{4}{3}\)

 Coordinates =  (5,x) and (2,-3)

Unknown:

X= ?

Solution:

  To find slope, use the expression below;

   Slope  = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

y₂ = -3  y₁ = x

x₂ = 2   x₁ = 5

   \(\frac{4}{3}\)  = \(\frac{-3 - x}{2 - 5}\)

           3(-3-x) = 4(-3)

            -9 -3x = 12

                -3x = 21

                  x = -7

We have 72-tenths left.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.

To divide 80 tenths by 9 ones, we first convert the 9 ones to tenths. 9 ones is equivalent to 90 tenths.

Next, we divide 80 by 90:

80 / 90 = 0.8888... (rounded to four decimal places)

To multiply, we multiply 0.8888... by 9:

0.8888... * 9 = 8

Finally, to subtract, we subtract 8 from 80:

80 - 8 = 72

So, we have 72-tenths left.

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Answer:

2

Step-by-step explanation:

Answer:

Answer is:

-2, 5, 19, 26

Step-by-step explanation:

output = input 7x+5 or

x= y7x+5

Answer: 2.5

Step-by-step explanation:

A negative of a negative is a positive.

Answer:

2.5

Step-by-step explanation:

Just make everything inside the parentheses opposite of what it is

-2.5 becomes 2.5 because double negative

Answer:

B. (1, -5), (3, -9), (6, -2)

Step-by-step explanation:

First vertex: -2 + 3 = 1, -1 - 4 = -5, so (1, -5)

Second vertex: 0 + 3 = 3, -5 - 4 = -9, so (3, -9)

Third vertex: 3 + 3 = 6, 2 - 4 = -2, so (6, -2)

(1, -5), (3, -9), (6, -2)

I hope this helps :))

54 outcomes are  in A

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

Here (x) = 3x-1 and h (x) =x²-3x+8

Now lim x→3 x   g (x) = lim x→3 3x -1

=3x³-1

=9-1

=8

and lim x→3 h (x) = lim x→3 x²-3x+8

=9-9+8

= 8

value of f (x) when x approaches 3

since lim x →3  g (x) =8 and lim x→3 h (x) = 8

Then lim x→3 f (x) =8

hence lim x→3 f (x) = 8 

hence 54 outcomes  are in A

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Answer:

Awesome I actually remember this haha

Step-by-step explanation:

So first, find -2 and go down to it and put a dot. Then I would go up 7 and over 2 to the left and put a dot. On number 2, I would go up 3 (because it's a positive) and then put a dot. And for -6x, make it into slope intercept form, or -6 over 1x. So it should look like this; -6/1x. Then I would go down -6 from the dot where you marked 3 at, and over to the right 1 because you already used your negative on the 6. And I always drew arrows, to make sure they wee straight lines. I really hope this helps and is right! Good luck!

Answer:

her grocery bill was $34

Step-by-step explanation:

x = grocery bill

.10x = 3.40

divide by .10

x= $34.

Answer:

216 cubic inches

Step-by-step explanation:

(9)(3)(3)=81

(3)(3)(9)=81

(3)(3)(6)=54

81+81+54=216

So, it's 216 cubic inches in volume.

Answer:

Formula: a² + 2ab + b² = (a + b)²

The square root of 1/9x² = 1/3x so a = 1/3x and b = 1/5y.

The answer is (1/3x + 1/5y)².

Answer:

One possible equation is \(f(x) = (x + 3)\, (x - 5)\), which is equivalent to \(f(x) = x^{2} - 2\, x - 15\).

Step-by-step explanation:

The factor theorem states that if \(x = x_{0}\)  (where \(x_{0}\) is a constant) is a root of a function, \((x - x_{0})\) would be a factor of that function.

The question states that \((-3,\, 0)\) and \((5,\, 0)\) are \(x\)-intercepts of this function. In other words, \(x = -3\) and \(x = 5\) would both set the value of this quadratic function to \(0\). Thus, \(x = -3\!\) and \(x = 5\!\) would be two roots of this function.

By the factor theorem, \((x - (-3))\) and \((x - 5)\) would be two factors of this function.

Because the function in this question is quadratic, \((x - (-3))\) and \((x - 5)\) would be the only two factors of this function. In other words, for some constant \(a\) (\(a \ne 0\)):

\(f(x) = a\, (x - (-3))\, (x - 5)\).

Simplify to obtain:

\(f(x) = a\, (x + 3)\, (x - 5)\).

Expand this expression to obtain:

\(f(x) = a\, (x^{2} - 2\, x - 15)\).

(Quadratic functions are polynomials of degree two. If this function has any factor other than \((x - (-3))\) and \((x - 5)\), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of \(a\) corresponds to a distinct quadratic function with \(x\)-intercepts \((-3,\, 0)\) and \((5,\, 0)\). For example, with \(a = 1\):

\(f(x) = (x + 3)\, (x - 5)\), or equivalently,

\(f(x) = x^{2} - 2\, x - 15\).

Answer:

there's no questions

Step-by-step explanation:

Answer:

8099.6 square feet

Step-by-step explanation:

The surface area of a cylinder is equal to the sum of the areas of the two circular ends plus the lateral surface area. The lateral surface area of a cylinder is equal to the circumference of the base times the height of the cylinder.

The circumference of the base of the cylinder is equal to 2πr, where r is the radius of the base. In this case, the radius of the base is 4 feet, so the circumference of the base is 2π(4) = 8π.

The surface area of the cylinder is then:

2πr^2 + 2πrh

= 2π(4^2) + 2π(4)(3)

= 32π + 24π

= 56π

To convert from square feet to square inches, we multiply by 12^2:

56π * 144 = 8096π

The surface area of the cylinder is approximately 8099.6 square feet to the nearest tenth.

The value x in the equation h(x) = 4x-4 is, x =1

Polynomial functions are functions of a single independent variable.

To solve for x

Since h(x) =0

substitute h(x) into equation  

h(x) = 4x - 4

0=4x - 4

Add 4 to both sides

4x = 4

Divide both side by 4

4x/4 = 4/4

x = 1

therefore, the value of X= 1

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Answer:

D

Step-by-step explanation:

CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is

\(\frac{BC}{AC}\) = \(\frac{BD}{AD}\) , substitute values

\(\frac{4}{3}\) = \(\frac{x}{2.25}\) ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3 → D

Answer:

21.8

Step-by-step explanation:

Null hypothesis assumes that there is no relationship between the two variables( dependent and independent ).

As given in the question,

Following hypothesis assumes that there is no relationship between variables.

a. Alternate hypothesis: There is a relation between two variables.

b. Null hypothesis : There is no relation between two dependent and independent variables.

c. Secondary : It depends on the primary hypothesis.

d. Research : It is study of systematic inquiry after colleting data.

e. Substantive : research based on particular subject.

Therefore, null hypothesis assumes there is no relation between two variables.

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The derivative of the function is

A) dw/dz=z^5 (7z-18)

B) dh/dx=192x^11+36x^5-6x^2+19

C) dy/dx=24x^2-38x-15

In mathematics, the derivative of a function measures the sensitivity to change of the function value with respect to a change in its argument. It is the rate of change of a function with respect to a variable.

A) w = z^7 – 3z^6 + 14

dw/dz=7z^6-18z^5

dw/dz=z^5 (7z-18)

B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7

dh/dx=192x^11+36x^5-6x^2+19

C) y = (8x + 5)(x^2 – 3x)

dy/dx=  d/dx  [8x+5]*〖(x〗^2-3x)+(8x+5)*d/dx[x^2-3x]

dy/dx=(8*  d/dx  [x}+d/dx[5])*〖(x〗^2-3x)+(8x+5)*(d/dx[x^2]-3 d/dx[x])

dy/dx=(8*1+0)(x^2-3x)+(8x+5)(2x-3*1)

dy/dx=8(x^2-3x)+(2x-3)(8x+5)

dy/dx=24x^2-38x-15

Note: The question is incomplete. The complete question probably is: Find the derivative of the following function: A) w = z^7 – 3z^6 + 14 B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7 C) y = (8x + 5)(x^2 – 3x).

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