compare the following functions:


f(x) = −4 sin(3x − π) + 2


h(x)

x y

-2 14

-1 9

0 6

1 5

2 6

3 9

4 14


Which function has the smallest minimum?


f(x)


g(x)


h(x)


All three functions have the same minimum

Answer:

l=40

Step-by-step explanation:

The area is calculated as

A = wl

1200=30l

1200/30=l

40=l

Answer:

(10x5+15x3)-7

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

To find the slope given two points

m = ( y2-y1)/(x2-x1)

    = ( 8 - 2)/( -3 -3)

    = 6 / -6

    = -1

Answer:

Step-by-step explanation:

go to the back of the book

Answer:

f(4) = -4

Step-by-step explanation:

f(x) = 4x - 20

Let x= 4

f(4) = 4*4 - 20

Multiply first

     = 16 -20

Then subtract

    = -4

Answer:

-4

Step-by-step explanation:

Hope it helps

Answer:

Step-by-step explanation:

I attached a picture below of what this situation looks like. As you can see, it is a right triangle problem. In order to solve for the speed of the boat, we first need to find out the difference between his distances when the angle is 60 and when it is 45. That's the same thing as finding x and y then subtracting. To find x:

[tex]sin60=\frac{200}x}[/tex] so

x = 231 meters (I rounded to the nearest whole numbers in this problem.

To find y:

[tex]sin45=\frac{200}{231+y}[/tex] so

[tex]y=\frac{200}{sin45}-231[/tex] and

y = 52.

The distance between the angles 60 and 45 as 52 meters, and it took him 2 minutes to travel that 52 meters. Assuming that his rate doesn't change, he can travel 52/2 meters per minute, or 26 meters per minute.

Answer:

79 inches

Step-by-step explanation:

2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in

rounded

79 inches

Answer:

maybe 90%?

Step-by-step explanation:

if im wrong im sorry

Answer:

90%

Step-by-step explanation:

[tex]\frac{18}{20} :\frac{y}{100}[/tex]

y × 20 = 18 × 100

20y = 1800

20y ÷ 20 = 1800 ÷ 20

y = 90

Answer:

4.47

Step-by-step explanation:

A squared + B squared = C squared

4*4=16 2*2=4  16+4=20  

the square root of 20 is 4.472135955, rounded to the nearest hundreth is 4.47

Step-by-step explanation:

We have a diameter and vertical angles so

231.

180+51=231

Answer:

231

Step-by-step explanation:

The measure of arc WX is 51

XZ is a straight angle so its arc measures 180 degrees

The measure of arc WYZ

WYZ= WX + XZ

        = 51 + 180

            231

Answer:

$220

Step-by-step explanation:

$5.50*8= $44

$44*5= $220

Hope it helps!

The probability of a customer ordering a cold drink given that they ordered a large is 0.1852 or about 18.52%.

Let us find the individual probabilities.

P(Large | Cold) = 5/25 = 0.2 (out of 25 cold drinks, 5 were large)

P(Cold) = (8+12+5)/100 = 0.25 (out of 100 orders, 25 were cold)

P(Large) = (22+5)/100 = 0.27 (out of 100 orders, 27 were large)

Now we can plug these values into Bayes' theorem:

P(Cold | Large) = 0.2 × 0.25 / 0.27

P(Cold | Large) = 0.1852

Therefore, the probability of a customer ordering a cold drink given that they ordered a large is 0.1852 or about 18.52%.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ7

Answer:

23 minutes

Step-by-step explanation:

Friend one is 0. While friend 3 is 23. Subtract: 23-0=23.

Hope this helps!

Answer:

45

Step-by-step explanation:

Answer:

[tex]\frac{1}{3(x-2)}[/tex]

Step-by-step explanation:

Hi there!

We need to multiply the fractions:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{x^{2}+x-6}[/tex]

Before we multiply, we can cancel out and factor the polynomials to make multiplying easier

First, we can factor x²+x-6

1 (in front of +x) is the sum of two numbers and -6 is the product of those numbers

Those numbers are -2 and 3

so when we factor, we get:

(x-2)(x+3)

here are the fractions so far:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{(x+3)(x-2)}[/tex]

we can cancel out x+3 on both fractions

[tex]\frac{1}{12x}[/tex]×[tex]\frac{4x}{x-2}[/tex]

we can also cancel out 4x from both fractions

[tex]\frac{1}{3}[/tex]×[tex]\frac{1}{x-2}[/tex]

now multiply the fractions together

[tex]\frac{1}{3(x-2)}[/tex]

So the first option is your answer

Hope this helps! :)

Answer:

d = 67.5

e = 22.5

Step-by-step explanation:

d + e = 90

d = 3e

Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.

Hope that this helps!

Answer:

a

Step-by-step explanation:

(-2)² + (+5)² = (-2)*(-2)  + 5 * 5

                   = 4 + 25

                   = +29

Given:

Different relations in the options.

To find:

The relation which is a function.

Solution:

A relation is a function if there exist unique output for each input value. In other words, there exist only one y-value for each x value.

In option A, [tex]y=0,1, 2, 3[/tex] for [tex]x=4[/tex]. So, this relation is not a function.

In option B, [tex]y=8, 10[/tex] for [tex]x=10[/tex]. So, this relation is not a function.

In option C, [tex]y=6, -2[/tex] for [tex]x=-2[/tex]. So, this relation is not a function.

In option D, all x-values are different. So, their exist unique output for each input value. It means this relation is a function.

Therefore, the correct option is D.

Answer:

1/4, 0.25

Step-by-step explanation:

Answer:

3/11

Step-by-step explanation:

Let Roberto's cards be x.

Let David's cards be y

x = (3/4) y

Roberto gives half his cards away which is 1/2*(3/4) = 3/8

David's new amount after the gift = 1/2(3/4)y + y = 3/8y+y=3y/8+8y/8 = 11y/8

So the ratio is Roberto / David = (3/8) // (11/8)

Roberto to David = 3/8 // 11.8 which you now invert and multiply the denominator

Roberto to David = 3/8 * 8/11 = 3/11

Done on my cell.

Answer:

75.64

Step-by-step explanation:

add them

Answer:

75.64

Step-by-step explanation:

Add the two amounts together to determine the amount of salt in the bowl

19.4+56.24

Make sure to line up the decimals

19.4

56.24

-----------

75.64

Answer:

It's [tex]3x^4+22x^3+31x^2-6[/tex]

Step-by-step explanation:

Area is L times width

LW=H

and the length is [tex]3x^2+4x-1[/tex] times the width [tex]x^2+6x+3[/tex]

basically you multiply yhem togetheer and combine like terms and voila

The answer is 3x^4 + 24x^2 - 6

explanation:

A = l × w

= (3x^2+4x-2)(x^2+6x+3)

=(3x × x) + (4x×6x) + (-2×3)

= 3x^2 + 24x^2 - 6

Answer:

h. I dont understand the question-

i. 2w + 5

j. 7m + 13s (I didnt get the second number)

k. -2x + 3y (I also didnt get the first number-)

l. 5c - 2d

m. 10a + 2g

n. 5a + 12

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

To solve for x, you need to draw an imaginary line connecting the right end of side x to the left side with length 15. This forms a triangle with side lengths 6 and 8, and hypotenuse x. Using the Pythagorean Theorem to solve for x, we get 6^2 + 8^2 = x^2, 36 + 64 = 100, [tex]\sqrt{100}[/tex] = 10.

Answer:

It's 10

Step-by-step explanation:

C^2=A^2+B^2blank

C=√(A^2+B^2)

If c is x and a and b are the side lengths the we can use Pythagoras's theorem to calculate the length of the line. A=6 B=8 and in the end when you calculate all that doohickey stuff you get x=10

Answer:

1-2i

Step-by-step explanation:

Divide: 5 + 2i by 3 + 4i.

Given data

5 + 2i by 3 + 4i.

We have the expression as

(5 + 2i)/(3 + 4i)

Rationalize the denominator

(5 + 2i)/(3 + 4i)* (3 -4i)/(3 -4i)

=(5*3-20i+6i-8i^2)/9-12i-12i+16i^2

=15-14i+8/9-16

=7-14i/-7

=1-2i

Answer:

2.4

6 divided by 2.5= 2.4

Step-by-step explanation:

Hope this is correct, if not feel free to let me know and I can fix it. I'm sorry in advance if it is incorrect.

Answer:

The answer is indeed 2.4:

Step-by-step explanation:

Answer:

[tex]f(x)\neq g(x)[/tex]

[tex]when ~x=3[/tex]

[tex]So, the ~third~ option~is ~your~ answer[/tex]