7. Sketch the graph of f(x) = 2(x - 1.5)2 + 3, then state the domain and range of the function (show all your
work). (4 points)
8. Determine the value of a given that (7, 6) satisfies the quadratic function f(x) = a(x – 5)2 +6. (Show all your
work). (2 points)

Answer:

The derivative is:

[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]

Step-by-step explanation:

We are given the following function:

[tex]f(x) = \frac{5}{3-x}[/tex]

Derivative of a quotient:

Suppose we have a quotient:

[tex]f(x) = \frac{g(x)}{h(x)}[/tex]

The derivative is:

[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]

In this question:

Numerator [tex]g(x) = 5, g^{\prime}(x) = 0[/tex]

Denominator [tex]h(x) = 3 - x, h^{\prime}(x) = -1[/tex]

So

[tex]f^{\prime}(x) = \frac{0(3-x) - 5}{(3 - x)^2} = -\frac{5}{x^2-6x+9}[/tex]

The derivative is:

[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]

Answer:

C) 395.84 in^2

Step-by-step explanation:

I took the test

Answer:13

Step-by-step explanation:plug in the the numbers

Answer:20

Step-by-step explanation:

I’m smart

Answer:

Step-by-step explanation:

making all terms have a common denominator of 12

(3(2x-3)+2(2x-5))/12=6(1)/12 now the 12s cancel out

3(2x-3)+2(2x-5)=6

6x-9+4x-10=6

10x-19=6

10x=25

x=2.5

Answer:

36 Sq cm

Step-by-step explanation:

Area of the trapezoid

[tex] = \frac{1}{2} \{8 + (4 + 8 + 4) \} 3\\ \\ = \frac{1}{2} \{8 + 16 \} 3\\ \\ = \frac{1}{2} \times 24 \times 3\\ \\ = 12 \times 3 \\ \\ = 36 \: {cm}^{2} [/tex]

Answer:

[tex] m \angle \: 1 = 120 \degree[/tex]

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

[tex]m \angle \: 1 = 120 \degree[/tex]

Answer:

probability= event / sample space

= 129/860

=3/20

=0.15(15%)

Answer:

D.

(x − 5.5)2 + (y − 4)2 = 12.25

Answer:

3x + 60

Step-by-step explanation:

9(x + 7) ÷ 3(x - 1) =

9x + 63 ÷ 3x - 3 =

9x ÷ 3x + 63 - 3 =

3x + 60

Note: For the third equation which is 9x ÷ 3x and etc, you have to put alphabets and numbers at one side seperately to be able to simplify easily.

Answer: Venus

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given diameters of planets:

Compared, we see the smallest value belongs to Mercury

The second smallest planet is Mars

Answer:

-2

Step-by-step explanation:

Answer:

5/2 x -3

Step-by-step explanation:

Answer:

56°

Step-by-step explanation:

1st reason= alternate angles.

2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.

180-124=56

Answer:

$10

Step-by-step explanation:

3($2.20)+3.40

6.60+3.40=10

The person below me is true

Answer: r = 2/7 -t

Step-by-step explanation: solve r from equation

7r = 2-7t l:7. r = 2/7 - t

The relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Consider the relationship;

7r+2t=7

Substitute r = f(t) in the equation

[tex]\rm 7r+2t=7\\\\7f(t)+2t=7\\\\ 7f(t)=7-2t\\\\f(t)=\dfrac{7-2t}{7}\\\\[/tex]

Hence, the relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].

Learn more about equation here;

https://brainly.com/question/9699841

#SPJ2

Answer:

Heya mate....

Step-by-step explanation:

This is ur answer....

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x.

Hope it helps you,

mark me brainliest pls.....

Follow me! :)

Answer:

B

Step-by-step explanation:

It goes up the same amount ($0.75) for every bar you get.

Answer:

20.02

Step-by-step explanation:

Answer:

20.02

Step-by-step explanation:

Answer:

i) Mean = 1933.1817

ii) Range = 5684

iii) Third quartile = 6054

Step-by-step explanation:

Given data :

currency exchange rate : 1 AUD = 5.8 HKD

cost of each ounce = 2 AUD

Fixed shipping cost for each carton = 80 HKD

number of cartons = 20

next determine the total cost of the 20 cartons in HKD

= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost

= ∑ ( 160*2*5.8 + 80 )  + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )

= 81756 HKD

i) find the mean value ( X )

= Total cost / number of cartons

= 81756 / 20 = 4087.8

ii) Find the standard deviation

= [tex]\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }[/tex]      note: std =  √∑(xi-X )^2 / (n-1)

= 1933.1817

iii) Find the range

Range = highest cost - lowest cost   ( values gotten from equation 1 )

           = 7650 - 1936

           = 5684

iv) Determine the third quartile

third quartile = 6054

attached below is the detailed solution

Answer:

a,b,e

Step-by-step explanation:

Answer:

B, D, E

OR

The median for the boys is 22

The interquartile range for the boys is 16

The difference between the medians as a multiple of the IQR is 1/4

Step-by-step explanation:

I just did it and got it right

Answer:

#7:  30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)

#8 : 20  Seconds On The Graph All The times go Up by 20 So that is the only Possible answer

#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet  And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On

#10 The Time In Seconds

#11 With slow speed you can guarantee it will not be broken or damaged

I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !

Thanks :)

Answer:

y-intercept is ( 0 , 5 )

Step-by-step explanation:

Are there any other numbers to this question? I will be glad to help.

Step-by-step explanation:

10(2−4)+5=2−8

10(2x-4)+5=2x-810(2x−4)+5=2x−8

Solve

1

Distribute

10(2−4)+5=2−8

20−40+5=2−8

2

Add the numbers

3

Add 

35

3535

 to both sides of the equation

4

Simplify

5

Subtract 

2

2x2x

 from both sides of the equation