Find the domain and range of this function.

Answer:

Step-by-step explanation:

Find derivative of the function:

y' = -2·sin(2·x)

-2·sin(2·x) = 0

x1 = 0

x2 = 3.142

f(0) = 1

f(3.142) = 1

Answer

fmin = 1, fmax = 1

Answer:

Let the breadth is x, then the length is 3x.

The area is:

The breadth is decreased by 2 m:

The length is increased by 4m:

The area is now:

The breadth was 4 m and the length  12 m

Answer:

x-intercepts = (x ≈ -0.87), (x ≈ 6.87)

Step-by-step explanation:

let x = 0, in equation for x-intercepts

solve for x using the

quadratic formula

x = −6 ± √ 36 + 24

               2x

= −6 ± √60

         −2x

 = −6 ± 2 √ 15

           −2           = 3 ± √15

Hi

So:   720 -600 = 120

120 for two years makes   120/2 = 60 in a year .  

60 from 600 is   600/60 = 10  

Interest is  10 %  

If interest in 2% more, then it's 12%.  

I'm sure you can count 12% simple interest for two years, so I let you try.  

good luck.

Answer:

945 m³

Step-by-step explanation:

Space left for storage = Volume of storage unit - volume of the container

Storage unit:

length = l = 15.3 m

Height = h = 10 m

Width = w = 7 m

Volume of storage unit = l * w *h

                                      = 15.3 *7* 10

                                      = 1071  m³

Container:

length = l =4.2 m

Height = h = 10 m

Width = w = 3 m

Volume of container = l * w *h

                                      = 4.2 *3* 10

                                      = 126 m³

Space left = 1071 - 126  = 945 m³

Answer:

34.13 ounces

Step-by-step explanation:

Total amount of water drunk=3.5*9.75=34.13

Answer:

C

Step-by-step explanation:

As the x tends to infinity and - infinity, the function does the same, so it's an odd function. The function also have two extrema, that means it have 2 turning point

Answer:

it says Not a polynomial.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

y= -3x+4

Let x = -4

y= -3(-4) +4 = 12 +4 = 16

Let x = -0

y= -3(0) +4 = 0 +4 = 4

Let x = 4

y= -3(4) +4 = -12 +4 = -8

Let x = 8

y= -3(8) +4 = -24 +4 = -20

Answer:Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)

Step-by-step explanation:

Answer:

b

basically 5/8 goes to 1/2 0.8 times which is 4/5

please mark this answer as brainlist

Answer:

1}6 times

Step-by-step explanation:

2}Yes.New York and Mast has the same number of president which is four

3}Yes,this can be done using piechart.

4}I am still working on this question

Answer:

Step-by-step explanation:

Set this up as a ratio of number of cakes to cups of sugar, C:S

Then the ratio given is 1:2.5 which says 1 cake takes 2.5 cups of sugar. We want to know how many cakes, x, will be made with 37.75 ups of flour:

[tex]\frac{1}{2.5}=\frac{x}{37.75}[/tex] and cross multiply to solve:

2.5x = 37.75 so

x = 15.1 cakes or just 15 cakes (cuz you can't make one-tenth of a cake!)

I think 12 minutes will pass until the tempature reaches 80.8

The number of minutes when the temperature of the swimming pool is 80.8° will be 12 minutes.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Damian is monitoring the temperature of the swimming pool. It is currently 86.8° and cooling 0.5° per minute. Then the equation will be

y = 86.8 - 0.5x

The number of minutes when the temperature of the swimming pool be 80.8° will be

80.8 = 86.8 - 0.5x

0.5x = 6

x = 12

The number of minutes when the temperature of the swimming pool is 80.8° will be 12 minutes.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

30

Step-by-step explanation:

To find the determinant of a parallelogram given points (a, b), (c, d), and (e, f), we can use

[tex]\left[\begin{array}{ccc}a&b&1\\c&d&1\\e&f&1\end{array}\right][/tex] and calculate the determinant of that. Three points on the parallelogram are (-1,1), (-1, -5), and (4, 5). Plugging these into the matrix, we get

[tex]\left[\begin{array}{ccc}-1&1&1\\-1&-5&1\\4&5&1\end{array}\right][/tex]. The determinant is equal to

[tex]-1 *det \left[\begin{array}{ccc}-5&1\\5&1\end{array}\right] \\- 1 * det \left[\begin{array}{ccc}-1&1\\4&1\end{array}\right] \\\\+ 1 * det \left[\begin{array}{ccc}-1&-5\\4&5\end{array}\right] \\= -1 * (-5*1 - (1*5))- 1 * (-1 * 1 - (4*1)) + 1 * (-1 * 5 - (-5*4)) \\= -1 *(-5-5) -1 * (-1 - 4) + 1 * (-5 - (-20))\\= -1 * (-10) -1 * (-5) +1 * (15)\\= 10 + 5 + 15\\=30[/tex]

Answer:

Hello,

Step-by-step explanation:

[tex]\dfrac{f(x)}{3} =\dfrac{x^4+x^3+x^2+1}{(x-1)(x+2)} \\\\=\dfrac{(x^2+3)(x-1)(x+2)-3x+7}{(x-1)(x+2)} \\=x^2+3-\dfrac{3x-7}{(x-1)(x+2)} \\\\=x^2+3-\dfrac{3}{x-1} +\dfrac{1}{(x-1)(x-2)} \\\\\dfrac{f(x)}{3}-\dfrac{3x^2+9}{3} =-\dfrac{3}{x-1} +\dfrac{1}{(x-1)(x-2)} \\\\\\ \lim_{x \to +\infty} (\dfrac{f(x)}{3}-\dfrac{3x^2+9}{3} )\\\\=0+0=0\\\\\\P(x)=-x^2-3[/tex]

Answer:

[tex]g(x)=-3x^2-9[/tex]

Explanation:

[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]

+[tex]\frac{p(x)(x^2+x-2)}{x^2+x-2}[/tex]

We need p(x) need to be a degree 2 polynomial so the numerator of the second fraction is degree 4. Our goal is to cancel the terms of the first fraction's numerator that are of degree 2 or higher.

So let p(x)=ax^2+bx+c.

[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]

+[tex]\frac{p(x)(x^2+x-2)}{x^2+x-2}[/tex]

Plug in our p:

[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]

+[tex]\frac{(ax^2+bx+c)(x^2+x-2)}{x^2+x-2}[/tex]

Take a break to multiply the factors of our second fraction's numerator.

Multiply:

[tex](ax^2+bx+c)(x^2+x-2)[/tex]

=[tex]ax^4+ax^3-2ax^2[/tex]

+[tex]bx^3+bx^2-2bx[/tex]

+[tex]cx^2+cx-2c[/tex]

=[tex]ax^4+(a+b)x^3+(-2a+b+c)x^2+(-2b+c)-2c[/tex]

Let's go back to the problem:

[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]

+[tex]\frac{ax^4+(a+b)x^3+(-2a+b+c)x^2+(-2b+c)x-2c}{x^2+x-2}[/tex]

Let's distribute that 3:

[tex]\frac{3x^4+3x^3+2x^2+3}{x^2+x-2}[/tex]

+[tex]\frac{ax^4+(a+b)x^3+(-2a+b+c)x^2+(-2b+c)x-2c}{x^2+x-2}[/tex

So this forces [tex]a=-3[/tex].

Next we have [tex]a+b=-3[/tex]. Based on previous statement this forces [tex]b=0[/tex].

Next we have [tex]-2a+b+c=-3[/tex]. With [tex]b=0[/tex] and [tex]a=-3[/tex], this gives [tex]6+0+c=-3[/tex].

So [tex]c=-9[tex].

Next we have the x term which we don't care about zeroing out, but we have [tex]-2b+c[/tex] which equals [tex]-2(0)+-9=-9[/tex].

Lastly, [tex]-2c=-2(-9)=18[/tex].

This makes [tex]p(x)=-3x^2-9[/tex].

This implies [tex]g(x)\frac{(-3x^2-9)(x^2+x-2)}{x^2+x-2}[/tex] or simplified [tex]g(x)=-3x^2-9[/tex]

Answer:

(-1, -3.5)

Step-by-step explanation:

Use the midpoint formula by finding the points of A and B.

A = (-5, -4)

B = (3, -3)

Add the x-values of both coordinates to get the following:

[tex]3_{1} + -5_{2} = -2\\-2/2 = -1[/tex]

Midpoint = (-1, y)

Now we find the y-value by doing the same as we did to the x-coordinates of A and B.

[tex]-3_{1} + -4_{2} = -7\\-7/2 = -3.5[/tex]

Midpoint = (-1, -3.5)

Answer:

12

Step-by-step explanation:

Hello!

First of all you have to understand the order of operations.

PEMDAS

Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.

From this you can see that we first have to deal with the exponent, then multiplication, then the addition.

So we get 2+9-(-1)

The 9 is from -3^2

2+9+1

11+1

12.

Hope this helps!

Answer:

f(-2) = 4

Step-by-step explanation:

Looking at the graph, at -2 the graph is at the point (-2,4). Therefore, the value of f(-2) is 4.

Answer:

100

Step-by-step explanation:

Hey there!

First, to find the cost of one apple, 50 ÷ 25, which equals 2.

At this point, i am not very sure if you meant to say 75 apples, or $75 apples, so I am just going to give both solutions.

If you meant 75 apples: 75 x 2 = $150

If you meant $75 apples: $75 ÷ 2 = 37.5

Since it isn't realistic to buy 37 apples and one half, round it to 37 apples.

Hope this helps!

Have a great day!

Answer:

The value of the 2 is two-thousand

Step-by-step explanation:

Answer:

thousands

Step-by-step explanation:

thousands, hundreds tens ones

2                    4              7      3

Answer:

57 shirts were left over

Step-by-step explanation:

57 multiplied by 80 gives you 4480

4537 subtracted by 4480 gives you 57 leaving you with 57 shirts left over :)

Answer:

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

6x³-(k+6)x²+2kx-25

2x-5=0

2x=5

x=5÷2=2.5

6(2.5³)-(k+6)(2.5²)+2(2.5)k -25=0

(6×15.625)-(6.25k+37.5)+(5k)-25=0

93.75-6.25k-37.5+5k-25=0

93.75-37.5-25=6.25k-5k

31.25=1.25k

k=25

Answer:

h = 41.52 feet

Step-by-step explanation:

The volume is π•radius²•height:

π•4²•h = 2087

16πh = 2087

h = 2087/16π

h ≈ 41.52 feet

Answer:

[tex]a_{n}[/tex] = 16 - 7n

Step-by-step explanation:

There is a common difference between consecutive terms , that is

2 - 9 = - 5 - 2 = - 12 - (- 5) = - 7

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = - 7 , then

[tex]a_{n}[/tex] = 9 - 7(n - 1) = 9 - 7n + 7 = 16 - 7n

7(5 + t) - 4(t + 4) =

= 35 + 7t - 4t - 16 =

= 7t - 4t + 35 - 16 = 3t + 19

Answer:

D. 58

Step-by-step explanation:

Given, 3x+8x+4x=6x+63

⇒15x=6x+63

⇒9x=63

⇒x=7

Then 5x+23=5(7)+23

=35+23

=58

Answer:

y = 5/6x + 8/3

Step-by-step explanation:

y = mx + b (m is the slope, b is the y-intercept)

(-2, 1) (4, 6)

m = change in y / change in x

m = 5/6

y = 5/6x + b

Plugging in (4, 6):

6 = 5/6(4) + b

6 = 20/6 + b

36/6 = 20/6 + b

36/6 - 20/6 = b

b = 16/6

b = 8/3

y = 5/6x + 8/3