11
Part A: If (2^6)^x = 1, what is the value of x? Explain your answer.
Part B: If (5^0)^x = 1, what are the possible values of x? Explain your answer.
2 points for each answer; 2 points for each explanation.

First off, we factor out the expression:

[tex] \displaystyle \large{y = 2 {x}^{2} - 12x + 16} \\ \displaystyle \large{y = 2 ( {x}^{2} - 6x + 8) }[/tex]

In the bracket, separate 8 out of the expression.

[tex] \displaystyle \large{y = 2[ ( {x}^{2} - 6x + 8)] }\\ \displaystyle \large{y = 2[ ( {x}^{2} - 6x) + 8]}[/tex]

In x^2-6x, find the third term that can make up or convert it to a perfect square form. The third term is 9 because:

[tex] \displaystyle \large{ {(x - 3)}^{2} = {x}^{2} - 6x + 9}[/tex]

So we add +9 in x^2-6x.

[tex] \displaystyle \large{y = 2[ ( {x}^{2} - 6x + 9) + 8]}[/tex]

Convert the expression in the small bracket to perfect square.

[tex] \displaystyle \large{y = 2[ {(x - 3)}^{2} + 8]}[/tex]

Since we add +9 in the small bracket, we have to subtract 8 with 9 as well.

[tex] \displaystyle \large{y = 2[ {(x - 3)}^{2} + 8 - 9]} \\ \displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]}[/tex]

Then we distribute 2 in.

[tex]\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ [/tex]

[tex]\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ \displaystyle \large{y = [2 \times {(x - 3)}^{2} ]+[ 2 \times ( - 1)] } \\ \displaystyle \large{y = 2 {(x - 3)}^{2} - 2 }[/tex]

Remember that negative multiply positive = negative.

Hence the vertex form is y = 2(x-3)^2-2 or first choice.

Answer:

2. 7.2

3. (7,6)

4. (6,-7)

sorry but question no 1 i cant answer cause the pic is too blurry

Step-by-step explanation:

Slope of a line = y2-y1 /x2-x1

Points=(2,1),(3,-10)

-10-1/3-2

-11/1

Therefore, the gradient of the line is -11/1

Answer: 3

Step-by-step explanation:

Answer:

ok bro this is kinda hard to show on here cuz you cant add a unit circle. any other ways?

Step-by-step explanation:

Step-by-step explanation:

-7/10 ÷ 2/5 = -7/10 x 5/2 = - 7/4

Answer:

your answer is

[tex]-\frac{7}{4}/[/tex]

[tex]\boxed{\boxed{\sf Area\:of\:the\:figure=10x^4-50x^3+5x^2+246x-196}}[/tex]

Refer to the attachment for calculations.

Answer:

7 x 9 = 63 7 is a FACTOR of 63

9 is a FACTOR of 63

7 and 9 are even DIVISORS of 63

63 is a MULTIPLE of 7 and 9

63 is a PRODUCT of 7 and 9

63 is evenly DIVISIBLE by 7 or 9

Writing 63 as a product of as many factors will be: 7 × 9, 3 × 21, 9 × 7 and 21 × 3.

The factors of 63 include 1, 3, 7,9, 21 and 63.

Since we've been given the information that we should not use 1 as a factor when multiplying according to the question, then the 63 as a product of its factors will be:

3 × 21 = 63

7 × 9 = 63

9 × 7 = 63

21 × 3 = 63

Read related link on:

https://brainly.com/question/22067581

Answer:

A

Step-by-step explanation:

I'm not sure 100% but i hope this still helps a little

Answer:

i flipped the images upside down.

Step-by-step explanation:

R= 8,5

Q=8,7

R=5,9

Answer:

h(-5) = (-2)^2 + 5 = 9

h(-1) = (2)^2 + 5  = 9

(9-9)/4 = 0

average rate of change is 0

Step-by-step explanation:

Answer:

x = 5

y = 3

(5,3)

Step-by-step explanation:

use substitution...

4x -3(2x-7) = 11

-2x + 21 = 11

x = 5

y = 3

Answer:

26.2 cm

Step-by-step explanation:

b1 = (2×401.94)/19.8 - 14.4

= 40.6 - 14.4 = 26.2 cm

Answer:

11th term is -45x+56

Answer:

a_11 = -45x + 56

Step-by-step explanation:

An arithmetic sequence has a constant difference which can be found by subtracting a term from the next term.

constant difference = d = -9x + 11 - (-5x + 6)

d = -9x + 11 + 5x - 6

d = -4x + 5

The nth term of an arithmetic sequence is

a_n = a_1 + (n - 1)d

a_11 = a_1 + (11 - 1)(-4x + 5)

a_11 = -5x + 6 + 10(-4x + 5)

a_11 = -5x + 6 - 40x + 50

a_11 = -45x + 56

Answer:

-2

Step-by-step explanation:

that is the answer

yep

Answer:

-2 is correct

Step-by-step explanation:

Answer:

Hi, There! Leah Is Correct

Step-by-step explanation:

A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all.

____________________________________________________________

-Darkspirit-

Answer:

Both are correct.

Step-by-step explanation:

Repeating decimals are rational.

Answer:

[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ put \: n = 2 \\ t2 = 2 \\ put \: n = 3 \\ t 3 = 2 \\ for \: all \: n \: \: values \: t = 2 \\ thank \: you[/tex]

Your answer is in the attachment .

Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!

Answer:

Just study and pay attention in class and take good notes. I would say that you should pay more attention when they teach you the trigonometry unit.

Answer:

-15.1

Step-by-step explanation:

Two negative numbers add the same way as positive numbers, so it is -(7.5 + 7.6) or -15.1.

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{3.57}\times\textsf{10}^\mathsf{3}\\\\\mathsf{10^3}\\\mathsf{\rightarrow 10\times10\times10}\\\mathsf{\rightarrow100\times10}\\\mathsf{\rightarrow 1,000}\\\\\textsf{3.57}\times\textsf{1,000}\\\rightarrow\textsf{3,570}\\\rightarrow\mathsf{3.57\times10^3}\\\\\huge\boxed{Answer: {\frak{3.57\times 10^3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I wrote it roughly.

Hope it helps.

I am sorry.

Answer:

1 look pic

2 1/75

3 21/75 = 7/25

Step-by-step explanation:

hope it help

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2}_\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{10-4}{2},\dfrac{-3-9}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{6}{2},\dfrac{-12}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=(3,-6)[/tex]

Answer:

(3, - 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (10, - 3) and (x₂, y₂ ) = (- 4, - 9) , then

midpoint = ( [tex]\frac{10-4}{2}[/tex] , [tex]\frac{-3-9}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{-12}{2}[/tex] ) = (3, - 6 )

Answer:

8,11,14,17,20

Step-by-step explanation:

this is because it started with adding three to the number, so it continues like that

Answer:

days(d) = 50 ÷ 5

Explanation:

50 ÷ 5 =  number of days

Answer:

g12. 85 + b4. 79

Step-by-step explanation:

g and b is just the amount she buys

Answer:

Step-by-step explanation:

Cost = 12.85g + 4.79b

That's all you can do to set up the total cost. There is no further reduction or combination that can take place. B and G are different.