Consider the function f(x) = - 3x² + 30% - 3.
Determine, without graphing, whether the function has a minimum value or a maximum value.
Find the minimum or maximum value and determine where it occurs.
Identify the function's domain and its range.
O
..
a. The function has a
value.
b. The minimum/maximum value is
It occurs at x =
c. The domain offis
(Type your answer in interval notation.)
The range of fis 1 (Type your answer in interval notation.)
Copyright

Answers

Answer 1

Answer:

a. maximum value

b. x = 5

c. domain = all reals , range = y is less than or equal to 72

Step-by-step explanation:

a. maximum because it is a negative function and thats the highest value

b. thats the x value of the vertex which is the highest point


Related Questions

A six-sided polygon is shown with sides labeled 12 cm, 10 cm, 10 cm, 8 cm, 6 cm, and 3 cm.
Lily decorated a poster with this polygon for school spirit week. What is the perimeter of Lily's polygon?

A.
149 cm

B.
120 cm

C.
86 cm

D.
49 cm

Answers

Answer:

49cm^2

Step-by-step explanation:

The perimeter is just a continuous line which forms the boundaries of a geometric figure.

The perimeter is just all the sides added up.

12cm+10cm+10cm+8cm+6cm+3cm = 49cm^2

An ice cream shop sold 352 scoops of ice cream.25% of the scoops sold were strawberry ice cream.how many scoops of strawberry ice cream were sold

Answers

Answer:

88 scoops

Step-by-step explanation:

Hello!

If 25% of 352 scoops were strawberry, we find 25% of 352

Solve:

25% of 3520.25 * 35288

This means 88 scoops of strawberry were sold.

Image attatched for conversion of decimals, percents, and fractions.

Write and equivalent expression for 88 + 16x + 8.
X = 4

Answers

Answer:

8+88+16x

4=x

Step-by-step explanation:

just reverse it lol

If f(x)=3x−1 and f(a)=−43, what is the value of a ??

Answers

Answer:

a = -14

Step-by-step explanation:

f(a) = -43

3a - 1 = -43

3a    = -43 + 1

  3a  = -42

     a = -42/3

    a = -14

Which pair shows equivalent expressions?
2x + 10 = -2(x-5)
-2(x+5) = 2x-10
-2x-10 = -2(x+5)
-2(x-5) = -2x-10

Answers

Answer:

The 3rd equation, -2x-10 = -2(x+5)

Step-by-step explanation:

Equivalent expressions means both sides of the equal sign equal the same thing

To find which ones are equivalent expressions, we must solve/simplify both sides of each equation to see if they're actually equal to each other

We will use PEMDAS for this

1. 2x + 10 = -2(x - 5)

Start with Parentheses, and distribute the -2 to what's inside said parentheses

2x + 10 = -2x + 10

Not equal

2. -2(x+5) = 2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = 2x - 10

Not equal

3. -2x-10 = -2(x+5)

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = -2x - 10

Equal

4. -2(x-5) = -2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x + 10 = -2x - 10

Not equal

A crate of a apples that usually cost 40$ is on sale for 20$ off. what is the sale price for the crate of apples?

Answers

$20, so 40-20= 20 (half of 40) so you could also say that the apples are 50% off
Answer: $32

Step-by-step explanation:

We are trying to find $40 on sale for 20$ off.

40*20/100

40*0.2

You save=$8

40-8

Final Price=$32

What would be the formula for this?

Answers

I hope I can help you:)

Answer:

ba/2+bd/2+cd, in this case the area is 46

Step-by-step explanation:

The formula for this would simply be the area of the trapazoid plus the area of the rectangle.

The area of a trapazoid(in this case) is b(a+d)/2

The area of the rectangle is cd

Adding these you get ba/2+bd/2+cd

In this case the area is 46

help. will give brainliest. please hurry!!! <3

also, please explain how to get my answer. need to show work.

Answers

Answer = 504 m2
Proof is below

Help help help help

Answers

2/8 son iguales espero que te sirva

Which number is bigger: 0.135 or 0.14?

Answers

0.14 as if you convert it into like decimal (add a 0 if the places are not the same e.g. 0.1 and 0.02 here 0.1 does not have the same number of digits so add a zero so it becomes 0.10 :. 0.10 is bigger then 0.02) (note the value of 0.1 will remain the same) so here 0.14 will become 0.140 :. bigger than 0.135

The number 0.14 is bigger than 0.135.

To compare the two numbers, you can look at their digits after the decimal point. In both numbers, the digit in the tenths place is 1. The next digit in 0.14 is 4, which is greater than the corresponding digit in 0.135, which is 3.

Since the digit in the hundredths place (4) is greater than the digit in the hundredths place (3), the number 0.14 is bigger than 0.135.

In summary, the order of the numbers from smallest to largest is:

0.135 < 0.14.

To know more about number:

https://brainly.com/question/3589540

#SPJ2

solve for x : -30 < -x/4

Answers

x > 120

Step-by-step explanation:

-30 < -x / 4

-30 x 4 < -x

x > 120

Answer:

ight so first you multiply by 4 to isolate x so you get -120<-x next you divide by -1 to get the x so the answer is 120 cause a negative and a negative cancel out and turns to a positive

Step-by-step explanation:

31
33
34
35
= 36
37
38
39
A certain loan program offers an interest rate of 8%, compounded continuously. Assuming no payments are made, how much would be owed after four years on
a loan of S2900?

Answers

Answer:

no sure about the answer

how do i solve and graph -5x+2y=10

Answers

Answer:

at first write the equation in correct order y=Mx+b. 2y=5x=10

y= 5x/2+5.

Step-by-step explanation:

the slope is 5/2. as we know slope is rise over run. so you go up 5 units and go right 2 unit.

the graph picture is added below click on the PNG. hope it helps. have a great day.

use multiplication to show how many twelfths equal 2/3.

you can get 74 points

Answers

[tex]\\ \rm\rightarrowtail \dfrac{2}{3}[/tex]

We need. the denominator as 12

So

[tex]\\ \rm\rightarrowtail \dfrac{2(4)}{3(4)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{8}{12}[/tex]

Answer is 4

Answer:

[tex]\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}[/tex]

Step-by-step explanation:

To get from 3 to 12, we must multiply 3 by 4 since 3 x 4 = 12

Therefore, multiply both the numerator and denominator by 4:

[tex]\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}[/tex]

What is the equation of a circle with center (−8, 3) and radius 8?

(x + 8)2 + (y − 3)2 = 64

(x − 8)2 + (y + 3)2 = 64

(x − 8)2 + (y + 3)2 = 8

(x + 8)2 + (y − 3)2 = 8

Answers

Answer:

(x + 8)² + (y - 3)² = 64

Step-by-step explanation:

(x - (-8))² + (y - 3)² = 8²

(x + 8)² + (y - 3)² = 64

What is the measure of angle x?
Enter your answer in the box.
+
1470
x =
1 2 3 4 5 6 7
5.

Answers

Answer:

x=43 degrees

Step-by-step explanation:

Subtract 47 from 90 to get the angle next to 47 degrees which is 43 degrees and x is also 43 degrees because they form vertical angles with each other

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?


A. g(x) = (x − 7)2 − 3

B. g(x) = (x + 7)2 − 3

C. g(x) = (x − 3)2 − 7

D. g(x) = (x − 3)2 + 7

Answers

Answer:

B. g(x)=(x+7)^2-3

Step-by-step explanation:

Vertex form is F(x)= a(x-h)^2+k

a is the reflection

h and k are the vertex (x,y) = (h,k)

in this case there is no shrink or stretch (a)

if it is translating left or right it is "h". In this case it is translated left so its -7.  However if you look at vertex form it is "x-h" so -7-7= +7

If it translating up or down it is "K".  In this case it is translated down so its -3.  

If it was translated up or right then its positive.  If it was translated down or left its negative.

After you figure out what h and k are then you just plug it in.  h=-7, k=-3

so the answer in vertex form is, g(x)=(x+7)^2-3

rounded to the nearest hundredth how many meters are in 32 ft (1 m = 3.28)​

Answers

Answer:

9.76 M

Step-by-step explanation:

32/3.28

9.756097561

9.76

Solve for x.
5x = 25
=
x = [?]
=

Answers

It's 25 because 25 divided by 5 is 5.

x
3
+5x
2
−32x−7 divided by x-4x−4 is x^2+9x+4+\frac{9}{x+4}x
2
+9x+4+
x+4
9

(LOOK CAREFULLY!)
































badddddddiesssssssss hmuuuuuuuu lulllllllllllllllllllllllllllllllllll

Answers

Answer:

The answer is 52x1100=21plus 23= 50010

Step-by-step explanation:

Find the Sum.
29, 8 67
+ 14, 938

Answers

Answer:

44805

Step-by-step explanation:

i just added them together lol

Answer:

the answer is 44805

Step-by-step explanation:

just add them together

Which set shows an average of 3?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer:

B

Step-by-step explanation:

bbbbbb brainless me

Simplify cos^4x+(2cos^2x)(sin^2x)+sin^4x

Answers

Answer:

cos4(x)+2cos2(x)sin2(x)+sin4(x)

Step-by-step explanation:

Find the equation for the circle with center (-2,4) and passing through (-1,- 4).

Answers

Answer:

(x+2)^2 + (y-4)^2 = 65

Step-by-step explanation:

r^2 = (4-(-4))^2 + (-1-(-2))^2 = 65

center = (-2, 4) so you add 2 to x and subtract 4 from y

A motorcycle travels 20 miles west and then turns and goes 52° north of west another 38 miles. How far is the motorcycle from its starting point? Round to the nearest tenth.

Answers

Answer:52.7

Step-by-step explanation:

1) Find the angle inside the triangle by subtracting 52 from 180 getting you 128

2)Then we input everything into the law of cosines

Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?

Answers

Answer:

27

Step-by-step explanation:

       Let g be Gabrielle's age and m be Mikhail's age.

       We can turn the statements the problem gives us into mathematical expressions to help us solve.

       Gabrielle's age is two times Mikhail's age:

                      g = 2m

       The sum of their ages is 81:

                      g + m = 81

       This gives us a system of equations that will allow us to solve for Gabrielle's age.

g + m = 81

(2m) + m = 81

3m = 81

m = [tex]\frac{81}{3}[/tex]

m = 27

       If we need to solve for Gabrielle's age, we can do the following.

g = 2m

2(27) = g

54 = g

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

Answer:

Mikhail is 27

Step-by-step explanation:

Use 'm' to represent Mikhail's ageUse g = 2m to represent Gabrielle's age (because Gabrielle's age is twice that of Mikhail's.You know that both of their ages combined must equal 81. This can be represented by g + m = 81Lastly, since we stated g=2m, substitute it into the equation to make: 2m + m = 81Combine like variables and divide to get Mikhail's age.

**If you want to find Gabrielle's age, multiply Mikhail's age by two, as represented by the equation g=2m. Gabrielle is 57.

Hope this helps!



You walk along the edge of a park.
Then you take a shortcut,
represented by PQ on the graph.
What is the length of the shortcut in
meters? Round your answer to the
nearest whole meter, if necessary.

Answers

The distance between the two points is 93.9 units

How to calculate the distance between two points

The formula for calculating the distance between two points is expressed as:

[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Given the coordinate points (0, 0) and (40, 85). The distance between the points is expressed as:

[tex]D=\sqrt{(85-0)^2+(40-0)^2}\\D=\sqrt{7225+1600}\\D=93.9 units[/tex]

Hence the distance between the two points is 93.9 units

Learn more on distance between two points here: https://brainly.com/question/23848540

Answer:89.4

Step-by-step explanation:

Necesito saber cual funcion es

Answers

Answer:

A function is defined as a relation between a set of inputs having one output each..

Step-by-step explanation:

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

¿Qué es la función explicar?

Una función se define como una relación entre un conjunto de entradas que tienen una salida cada una. En palabras simples, una función es una relación entre entradas donde cada entrada está relacionada exactamente con una salida. Cada función tiene un dominio y un codominio o rango. Una función generalmente se denota por f(x) donde x es la entrada.

a retail owner can but a certain clock at an average price of $53 per clock and sell them for an average price of $84 per clock. his fixed costs are $8000 per month and his variable cost is $5 per clock. (A) how many clocks must he sell each month to break even? (B) how many clocks must he sell to have a profit of $3000?

Answers

Answer:

  (A) 308 clocks

  (B) 423 clocks

Step-by-step explanation:

The contribution margin is the amount by which the selling price of the clock exceeds the cost of the clock. The contribution margin is used to figure the break-even point, and the amount of profit from sales.

  contribution margin = selling price - variable cost - purchase price

  contribution margin = $84 -5 -53 = $26

__

(A)

To break even, the contribution margin from 'b' clocks must equal or exceed the owner's fixed cost:

  26b ≥ 8000

  b ≥ 8000/26

  b ≥ 307.7

The owner must sell 308 clocks each month to break even.

__

(B)

To make a profit of $3000, the owner must sell enough clocks to cover the $8000 fixed cost and contribute an additional $3000. That is, the total contribution margin from selling p clocks must be about $3000+8000 = $11000.

  26p ≈ 11000

  p ≈ 11000/26 ≈ 423.08

The owner must sell about 423 clocks each month to earn a profit of about $3000.

__

Additional comment

Selling 423 clocks will yield a profit of $2998.

Ciara, an ornithologist, has 444 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders. She recorded data for a sample of 350350350 recent visits. Here are the results: Feeder \#1#1\#, 1 \#2#2\#, 2 \#3#3\#, 3 \#4#4\#, 4 Observed visits 808080 909090 929292 888888 Ciara wants to perform a \chi^2χ 2 \chi, squared goodness-of-fit test to determine if these results suggest that birds visit one specific feeder more often than the other feeders. What is the expected count of visits to the third feeder? You may round your answer to the nearest hundredth.

Answers

The expected count of visits is the mean or average visits to each feeder

The expected count of visits to the third feeder is 87.5

How to determine the expected count of visit?

The table of values is given as:

Feeder                 1   2    3   4

Observed visits 80 90 92 88

In this case, the null hypothesis implies that the visits to each feeder are uniformly distributed

So, the expected count is calculated using:

Expected count =Visits/Feeders

This gives

Expected count = 350/4

Evaluate the quotient

Expected count = 87.50

Hence, the expected count of visits to the third feeder is 87.5

Read more about chi square goodness of fit test at:

https://brainly.com/question/4543358

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