In two or more complete sentences, describe how to find the interval(s) where the function is decreasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is decreasing.

Answers

Answer 1

Answer:

The function is increasing when the slope is greater than zero and decreasing when the slope is less than zero.  Slope is (y2-y1)/(x2-x1) or the change in y divided by the change in x.

In this case the function is decreasing when x=[-8,-5) and when x=[4,8)

So in interval notation:  x=[-8,-5)U[4,8)

Step-by-step explanation:

BRAINLIEST PLEASE


Related Questions

How many solutions does the following equation have?
-6(x + 7) = -4x – 2
Choose 1 answer:
A.No solutions
B.Exactly one solution
C.Infinitely many solutions

Answers

Answer:

B. Exactly one solution

Step-by-step explanation:

what's the area for 8 in 6 in 4 in in a irregular polygon

Answers

Answer:

192

Step-by-step explanation:

8x6x4

Answer:

192

Step-by-step explanation:

because it is

Identify the percent of change as an increase or a decrease.

16 centimeters to 44.2 centimeters


Increase

Decrease
Question 2
Find the percent of change.

Answers

Answer:

Increase

Step-by-step explanation:

The number gets larger. Increase means it gets larger, but decrease means it gets lower.

What’s -6y + 4x=5 in ymx+b

Answers

Answer:

[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]

Step-by-step explanation:

First you need to solve the expression in order to get the expression in Slop-Intercept Form:

[tex]y = mx + b[/tex]

-The following equation:

[tex]-6y + 4x = 5[/tex]

Solve:

[tex]-6y + 4x = 5[/tex]

[tex]-6y + 4x - 4x = 5 - 4x[/tex]

[tex]-6y = 5 - 4x[/tex]

[tex]\frac{-6y}{-6} = \frac{5 - 4x}{-6}[/tex]

[tex]y = \frac{5 - 4x}{-6}[/tex]

[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]

Therefore, the expression in Slope-Intercept Form is [tex]y = \frac{2}{3}x - \frac{5}{6}[/tex].

Movie tickets are $9.00 for adults and $5.50 for children. One evening, the theater sold 36
tickets worth $282. How many adult tickets were sold? How many child tickets were sold?

Answers

Answer:

25

Step-by-step explanation:

;\

there were m balloons at the beginning of a party. by the end of the party, 6 of them had popped. using m, write an expression for the number of balloons that were left.

Answers

Answer:

m-6=x

Step-by-step explanation:

Find f (−3) for the function f (x) = -5/-3 x -2

A) 3/5
B) -7
C) − 5/3
D) 3
E) −2

Answers

plug in -3 for x and get -5-2 which is -7 so b

*Two buses were coming from two different places situated just in the opposite
direction. The average speed of one bus is 5 km/hr more than that of another on
and they had started their journey in the same time. If the distance between
places is 500 km and they meet after 4 hours, find their speed.​

Answers

Answer:  60 km/hr and 65 km/hr

Step-by-step explanation:

        o-----------------------------------←500→-------------------------------------o

        Bus 1: rate = r + 5                                              Bus 2: rate = r            

                  time = 4                                                               time = 4

                  distance = d                                                        distance = 500 - d

                              Use distance = rate x time

      Bus 1: d = 4(r + 5)                                               Bus 2: 500 - d = 4(r)

                d = 4r + 20                                                    -d = 4r - 500

                                                                                      d = 500 - 4r

Solve the System of Equations using the Substitution method:

                                    4r + 20 = 500 - 4r

                                    8r + 20 = 500

                                   8r          = 480

                                              r = 60

    Bus 1: rate = r + 5                                              Bus 2: rate = r

                     = 60 + 5                                                              = 60

                     = 65

                 

Answer :

Distance between both buses = 500km

Time taken by them to meet each other = 4hr

Let speed of bus A be v km/hr.

ATQ, speed of bus B is 5km/ hr more than that of bus A.

∴ Speed of bus B will be (v + 5) km/hr.

Diagram :

[tex]\boxed{\setlength{\unitlength}{1cm}\begin{picture}(6,2)\thicklines\put(1,1){\circle*{0.2}}\put(5,1){\circle*{0.2}}\put(1,1){\vector(1,0){1}}\put(5,1){\vector(-1,0){1.5}}\put(0.2,0.9){A}\put(5.5,0.9){B}\put(1.4,1.2){v}\put(3.85,1.2){v+5}\put(2.35,0.4){\sf{500\;km}}\put(2.2,0.5){\vector(-1,0){1.3}}\put(3.55,0.5){\vector(1,0){1.5}}\end{picture}}[/tex]

★ As we know that,

Speed = Distance/Time ... (I)

Assuming both buses as point masses,

Relative speed of object A wrt object B when the object B moves in the opposite direction of A is given by

[tex]\boxed{\bf{v_{AB}=v_A+v_B}}[/tex]

Relative speed of bus A wrt B :

[tex]:\implies\:\sf{v_{AB}=v_A+v_B}[/tex]

[tex]:\implies\sf\:v_{AB}=v+(v+5)[/tex]

[tex]:\implies\bf\:v_{AB}=2v+5[/tex]

By substituting values in (I), we get

[tex]\leadsto\sf\:v_{AB}=\dfrac{d}{t}[/tex]

[tex]\leadsto\sf\:2v+5=\dfrac{500}{4}[/tex]

[tex]\leadsto\sf\:2v+5=125[/tex]

[tex]\leadsto\sf\:2v=120[/tex]

[tex]\leadsto\sf\:v=60\:kmph[/tex]

Speed of bus A = 60 kmph

Speed of bus B = (v + 5)

Speed of bus B = 65 kmph

Hope It Helps!

-6(7) + 36 + (-12)
Helpppppp

Answers

Answer:

-18

Step-by-step explanation:

Answer:-18

Step-by-step explanation:


Find f(g(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.
A) f(g(x)) = 12x2 + 4x - 27
B) f(g(x)) = 48x2 + 84x + 25
C) f(g(x)) = 48x2 + 124x + 72
D) f(g(x)) = 144x2 + 124x + 30

Answers

Answer:

Its C.

Step-by-step explanation:

What is the equation of the line that passes through the point (-5,7) and has a slope of -2/-5

Answers

this should be it y=-2/5x+5

Amber worked 2.2 hours on Monday and 5.9 hours on Tuesday. Her pay rate is $9.50 per hour. How much will Amber be paid for two days?

Answers

Answer:

$76.95

Step-by-step explanation:

Amber worked for 2.2 hours on Monday and she makes $9.50 per hour, so that means you multiply 9.50 x 2.2 and it equals 20.9, then it says she works 5.9 hours on Tuesday, so that means you multiply 9.50 x 5.9 and it equals 56.05, so in total you add 20.9 from Monday and 56.05 from Tuesday and it equals 76.95, which means $76.95 is how much Amber will be paid.

Answer:

76.95

Step-by-step explanation:

Find the coordinates of the point (x,y) at the given angle θ on a circle of radius r centered at the origin. Show all work. Round decimal to three places. (5 points) θ=215° and r=4 Type equation here. Type equation here. (5 points) θ=-30° and r=1 Type equation here. Type equation here.

Answers

Answer:

(i) The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].

(ii) The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].

Step-by-step explanation:

In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:

[tex](x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]

Where:

[tex]r[/tex] - Norm of vector, dimensionless.

[tex]\theta[/tex] - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.

(i) ([tex]r = 4[/tex], [tex]\theta = 215^{\circ}[/tex])

[tex](x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})[/tex]

[tex](x, y) = (-3.277,-2.294)[/tex]

The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].

(ii) ([tex]r = 1[/tex], [tex]\theta = 30^{\circ}[/tex])

[tex](x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})[/tex]

[tex](x, y) = (0.866, 0.5)[/tex]

The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].

A truck can be rented from Company A for ​$80 a day plus ​$0.40 per mile. Company B charges ​$40 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
At____​miles, the rental costs are the same from either company.

Answers

Answer:

200 miles

Step-by-step explanation:

Let the required miles be x

Rental for Company A

80 + 0.4x

Rental for Company B

40 + 0.6x

Rental costs are equal when:

80 +0.4x = 40 + 0.6x0.6x - 0.4x = 80 - 400.2x = 40x = 40/0.2x = 200 miles

13.8___13.80 < > = Complete the inequality statement with the symbol that makes it true

Answers

Answer:

=

Step-by-step explanation:

because 13.80 equal 13.8 . Because how we know we need to delite 0 snd it will be 13.8

Answer:

13.8 = 13.80

Step-by-step explanation:

13.8 and 13.80 are the same values.

Hope it helped!

Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.

Which equation can be used to determine the number of years, x, at which the trees will be an equal height?


14 + 12x = 16 + 2x
14 + 12, x, = 16 + 2, x

16 + 12x = 14 + 2x
16 + 12, x, = 14 + 2, x

12 + 16x = 2 + 14x
12 + 16, x, = 2 + 14, x

12 + 14x = 2 + 16x
12 + 14, x, = 2 + 16, x

Answers

Answer:

Step-by-step explanation:

X=5

Can someone please help

Answers

Not sure what does "Zero" mean. But I'll move with y-intercept, slope and slope intercept form.

The y-intercept is (0,4) because the graph passes through (0,4)

For the slope, look at the grid and the line, it's -2. Or we can solve this by using the ordered pairs.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

(0,4) and (3,-2) both are the part of the graph, therefore.

[tex]m=\frac{-2-4}{3-0} \\m=-\frac{6}{3}\\m=-2[/tex]

So the slope is -2 and for the slope intercept form, it must be the equation.

We know that m = -2 and b = 4 because b is the y-intercept from y = mx+b where m is the slope and b is the y-intercept.

Thus, [tex]y=-2x+4[/tex] from the y = mx + b.

much they will have left over. (a) If a package of curtains cost $21.50, what is the cost of the 3 packages of curtains in the cart? it in the cart​

Answers

64.5 is the answer.

I HOPE THIS HELPS HAVE A GREAT DAY!

Answer:

64.50

hope this helps!!!

NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!

Answers

The third table on the top row. It has a linear function because the Y is always constant. For example: -3 + -2= -5 -5 + -2= -7

What’s there answer for this 4.5x10^-5

Answers

Answer:

0.000045

Step-by-step explanation:

-5/7*1/6

What's the answer?

Answers

Answer:

-5/42

Step-by-step explanation:

Answer: -0.11

Step-by-step explanation:

What is the value of the missing divisor in the equation 1,872 divided _____=234

Answers

Answer: 8

Step-by-step explanation: You can test 234 by multiplying it by random numbers like i did on a calculator and from there i tested 8 and it fit 1874 so i knew that was the answer

The gravity on the surface of the moon is 0.17 of the surface gravity on Earth. If Jack weighs 156 pounds on Earth, what would be his weight on the moon? (Will give brainliest)

Answers

Answer:

Jack will weigh 26.52 pounds

Step-by-step explanation:

x = 156 (Your weight on Earth)

y = 0.17 (Surface Gravity)

z = Your weight on the moon

x * y = z

156 * 0.17 = 26.52

Jack will weigh 26.52 pounds.

If Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.

What is gravitational force?

All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.

It is given that,

Gravity on the surface of the moon =  0.17

Weighs of Jack on Earth = 156 pounds

Mass of Jack,

W=mg

156 pounds = m × 9.81     [ g on earth = 9.81 m/s²]

m = 15.902 kg

The weight of Jack on the moon is,

W=  15.902 kg × 0.17

W=2.565 N

Thus, if Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.

Learn more about the gravitational force here:

brainly.com/question/12528243

#SPJ5

Please help me solve this!! If you do think yu so much and have a nice day or night

Answers

Answer:

5668

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Thousandth: 0.063
Hundredth: 0.06
Tenth: 0.1
Whole Number: 0

Explanation:
If the number beside it is 5 or higher, add one to it to round, take 0.017, the 7 is greater than or equal to 5, so we round up to 0.02
If the number beside it is 4 or lower, you keep it the same, take 0.013, 3 is less than or equal to 4, so we round up to 0.01

HELP WILL MARK BRAINLIEST!!!
A quadratic function for a parabola has axis of symmetry x = -2, points (-3, 2) and (0,11) and opens upward. What is the value of a? What is the vertex?​

Answers

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We know that the quadratic functions form are like this :

[tex]y = a \: {x}^{2} + b \: x + c [/tex]

The quadratic function opens upward so ;

[tex]a > 0[/tex]

The axis of parabolic symmetry passes through the vertex of the parabolic.

So we know that x vertex is equal to -2.

The vertex's x is finding from this equation:

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

So we have :

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

Multiply the sides of the equation by 2a :

[tex]b = 4a[/tex]

_________________________________

STEP (2)

A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.

[tex]y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c [/tex]

[tex]f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11 [/tex]

[tex] - 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3[/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Can someone Find f(-1)

Answers

Answer:

-2

Step-by-step explanation:

f(-1)=-2. f(−1)=−2 f ( - 1 ) = - 2.

the answer to the problem is -2 :)

The recipe says it serves 8 people. By what number should jenny multiply each ingredient to make enough meatloaf for 40 people?

Answers

Answer:

5

Step-by-step explanation:

8*5=40 so you multiply the ingredients by 5

what is the least common multiple of 31 and 46?

Answers

the least common multiple(LCM) is 1426
The least common multiple is 1426

(5.9 x 10^6) and (3.2 x 10^4) find the product

Answers

Answer:

1888 × [tex]10^{8}[/tex]

or

188.8 × [tex]10^{9}[/tex]

or

18.88 × [tex]10^{10}[/tex]

Step-by-step explanation:

Lets look at this in a more simple way:

[tex](5.9[/tex] × [tex]10^{6} )[/tex] × [tex](3.2[/tex] × [tex]10^{4} )[/tex]

First, let's move [tex]10^{6}[/tex] and switch it's places with 3.2:

(5.9 × 3.2) × ([tex]10^{6}[/tex] × [tex]10^{4}[/tex])

Then, let's simplify:

18.88 × [tex]10^{10}[/tex]

Finally, Celebrate! WooHoo! You just learned how to do this!

Pls Brainliest! It would mean and help a lot! ;)

Thanks! Have a nice day! Please Thanks this, Vote 5, and Go to my Profile and Thanks me!

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