Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them? 12x 12x2 + 40 12x + 40 8x + 40

Answer:

We will begin with the graph of the tangent function, plotting points as we did for the sine and cosine functions. Recall that

tan

x

=

sin

x

cos

x

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on

−

π

2

to

π

2

, we can see the behavior of the graph on one complete cycle. If we look at any larger interval, we will see that the characteristics of the graph repeat.

We can determine whether tangent is an odd or even function by using the definition of tangent.

tan

(

−

x

)

=

sin

(

−

x

)

Step-by-step explanation:

Answer:

it is y=sin x

Step-by-step explanation:

i got it right on the test

Answer:

The zeroes are at (-2, 0), (0, 0) and (2, 0).

The (0, 0) is a double root as the graph just touches the x axis at (0, 0).

The zero at (0, 0) is sometimes referred as  x = 0 (multiplicity 2).

I think the duplicate roots are counted as 2 distinct roots but im not sure.

So the answer is either a or c.

Step-by-step explanation:

The zeroes are the points where the graph cuts the x axis.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

Step-by-step explanation:

We have the function:

[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1}[/tex]

Here we have a problem when x = 1, because that makes the denominator to be equal to zero.

For now, let's see what happens to the numerator when x = 1

1^2 + 11*1 - 12 = 12 - 12 = 0

So x = 1 is a root of the numerator.

Let's find the other root of the numerator, here we can use Bhaskara's formula:

[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*1*(-12)} }{2*1} = \frac{-11 \pm 13}{2}[/tex]

Then the two roots are:

x = (-11 + 13)/2 = 1

x = (-11 - 13)/2 = -12

And remember that a quadratic equation:

y = a*x^2 + b*x + c

With roots p and k, can be written as:

y = a*(x - p)*(x - k)

Then we can rewrite our numerator as:

1*(x - 1)*(x - (-12)) = (x - 1)*(x + 12)

Replacing that in the equation for f(x), we get:

[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1} = \frac{(x - 1)*(x + 12)}{(x - 1)} = \frac{x - 1}{x -1} *(x + 12)[/tex]

f(x) = x + 12

And, when evaluated in x = 1, we get:

f(1) = 1 + 12 = 13

Then the correct option is:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

Answer:

C

Step-by-step explanation:

I said so

Answer:

(3, -1)

Step-by-step explanation:

(3,-1)

I think this is the answer hope it helps!!

Answer:

Option "B" is the correct answer to the following question.

Step-by-step explanation:

Given:

Joe swim = 3 meter north

Jow swim = 5 meter south

Find:

Distance travel by Joe

Displacemnet by Joe

Computtaion:

The overall travel of an item without consideration to direction is called distance.

So,

Distance travel by Joe = 3 + 5

Distance travel by Joe = 8 meter

The term "displacement" refers to a shift in an object's location.

Displacemnet by Joe = 5 - 3

Displacemnet by Joe = 2 meter South

Step-by-step explanation:

draw the net

there are 3 squares, each with a L = 5m and W = 1.5 +1.5m

2 triangles with a base of 1.5 + 1.5 and a height of 2.6m

Area of a rectangle = L x W

" " Triangle = 0.5 x b x h

so youd write and solve 3 rectangles x ( 5 m x 1.5 + 1.5) + 2 triangles x (0.5 x (1.5 +1.5) x 2.6m)

also look up the equation for surface area for this shape. Should give you the same thing. This method makes it more intuitive

Answer:

The maximum height the soccer ball reaches is 9.77 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Reba kicks a soccer ball off the ground and in the air, with an initial velocity of 25 feet per second.

The formula for the height is:

[tex]h(t) = -16t^2 + v(0)t + h(0)[/tex]

In which v(0) is the initial velocity and s(0) is the initial height.

Initial velocity of 25 feet per second means that [tex]v(0) = 25[/tex]

Kicked off the ground means that [tex]h(0) = 0[/tex]. So

[tex]h(t) = -16t^2 + 25t[/tex]

Which is a quadratic equation with [tex]a = -16, b = 25, c = 0[/tex].

The maximum value is:

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

In which

[tex]\Delta = b^2-4ac = 25^2 - 4(-16)(0) = 625[/tex]

[tex]y_{v} = -\frac{\Delta}{4a} = \frac{625}{4(16)} = 9.77[/tex]

The maximum height the soccer ball reaches is 9.77 feet.

Answer:

a) z-distribution is used, as we have the standard deviation for the population.

b) Between [tex]\overline{x} - 1.86[/tex] and [tex]\overline{x} + 1.86[/tex], in which [tex]\overline{x}[/tex] is the sample mean of tics per hour.

Step-by-step explanation:

a. To compute the confidence interval use a, z or t distribution?

We have the standard deviation for the population, and thus, the z-distribution is used.

b. With 90% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ______ and _______ .

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{4.08}{\sqrt{13}} = 1.86[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is [tex]\overline{x} - 1.86[/tex]

The upper end of the interval is the sample mean added to M. So it is [tex]\overline{x} + 1.86[/tex]

Between [tex]\overline{x} - 1.86[/tex] and [tex]\overline{x} + 1.86[/tex], in which [tex]\overline{x}[/tex] is the sample mean of tics per hour.

Answer:

perimeter for rectangle: (x-2+x+2)×2=4x

perimeter for triangle : 2x-8+2x-8+x+6

=5x-10

The question said both geometry has same perimeter,so we have equation :

4x=5x-10

=>x= 10

put x in triangle's perimeter: 2×10-8+2×10-8+10+6

= 40

Step-by-step explanation:

the answer is C, hope you understand it

Answer:

B. 1 6/10

Step-by-step explanation:

”How many more” means find the difference.
So first you convert the fractions:

5 7/10= 57/10

7 3/10=73/10

Subtract the two converted fractions and you get a difference of 16/10 then you will simply 16/10, which becomes 1 6/10.

Answer:

23/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify and set up

4 + -2 ÷ -3 + 3

Step 2: Evaluate

Answer:

1:

6y-3+y

D =7y-3

2.

50C

3.

6÷K

4.

7-x

5.

8p-4p

6.

2g-3

7.

1-7/p

D.(p-7)/p

Answer:

58 Degrees

Step-by-step explanation:

if <3 is 110 degrees find the number of degrees

Answer:

110 and 100

Step-by-step explanation:

Angle 2 will have the same messurement as the one across, so 110

Angle 1 will be the difference between 180 and 80, so 100

Answer:

17.6369809748oz

Step-by-step explanation:

hope this helps

Answer:

17.637

Step-by-step explanation:

the answer is I don't know

Answer:

19683

Step-by-step explanation:

1. find the ratio

this is geometric so..

54÷18=3

18÷6=3

2. set up the problem

3(3)^9-1

3^8= 6561

6561(3)=19683

The 9th term of a sequence is 39, 366.

In mathematics, a sequence known as a geometric progression (GP) is one in which each following term is generated by multiplying each preceding term by a constant integer, known as a common ratio. This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

We have the series: 6, 18, 54, ...

as, the series in Geometric Progression.

So, the common ratio = 18/6 = 3

and, 54/ 18= 3

Using the formula

[tex]a_n[/tex] = a[tex]r^{n-1[/tex]

So, for n= 9

[tex]a_9[/tex] = a[tex]r^{9-1[/tex]

[tex]a_9[/tex] = a[tex]r^{8[/tex]

[tex]a_9[/tex] = 6 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

[tex]a_9[/tex] = 39,336

Learn more about geometric Progression here:

https://brainly.com/question/4853032

#SPJ7

Answer:

Tangent

Step-by-step explanation:

Tangent - A line that intersects the circle at exactly one place

Answer:

x = 43.4°

Step-by-step explanation:

when two straight line intersects, angles directly opposite of each other has the same value.

Answer:

30.34

Step-by-step explanation:

easy math pppppppppp

Answer: d

Step-by-step explanation:

its d

Answer:

C

Step-by-step explanation:

Answer:

The scale factor is k = 4.

Step-by-step explanation:

In the graph, we can see that g(x) is a dilation from f(x)

And a general vertical dilation of scale factor k is written as:

g(x) = k*f(x)

So here we want to find the value of k.

In the graph, we can see that:

f(1) = 1.5

f(3) = 0.5

Now, the values of g(x) in those x-values are:

g(1) = 6

g(3) = 2

And we must have:

g(1) = k*f(1)

g(3) = k*f(3)

we should get the same value of k in both equations, now let's replace the values of the functions:

For the ones evaluated in x = 1, we get:

6 = k*1.5

6/1.5 = k = 4

for the cases evaluated in x = 3, we get:

2 = k*0.5

2/0.5 = k = 4

In both cases we got the same value of k, so we can conclude that the scale factor from f(x) into g(x) is k = 4