Solve 2(2x - 3)^2 = 32.
A. x = 1/2; x = 12
B. x = -1/2; x = 1/2
C. X = -7; x = 1
D. x = -1; x = 7​

Answer:

D. y=-2x-2

Step-by-step explanation:

To find a line perpendicular to another line take the negitive inverse which is fliping the fraction and multiplying it by -1. To see if it crosses a point just plug in for that point.

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

To learn more about equation of line click :

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Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Answer:

wrong

Step-by-step explanation:

go to my crib and eat his pickles

Compute the first few derivatives to reveal a pattern:

f(x) = x sin(x)

f '(x) = x cos(x) + sin(x)

f ''(x) = (-x sin(x) + cos(x)) + cos(x) = -x sin(x) + 2 cos(x)

f '''(x) = (-x cos(x) - sin(x)) - 2 sin(x) = -x cos(x) - 3 sin(x)

f ''''(x) = (x sin(x) - cos(x)) - 3 cos(x)) = x sin(x) - 4 cos(x)

f ⁽⁵⁾(x) = (x cos(x) + sin(x)) + 4 sin(x) = x cos(x) + 5 sin(x)

f ⁽⁶⁾(x) = (-x sin(x) + cos(x)) + 5 cos(x) = -x sin(x) + 6 cos(x)

f ⁽⁷⁾(x) = (-x cos(x) - sin(x)) - 6 sin(x) = -x cos(x) - 7 sin(x)

f ⁽⁸⁾(x) = (x sin(x) - cos(x)) - 7 cos(x) = x sin(x) - 8 cos(x)

and so on.

The pattern should be clear: for some integer k,

• if n = 4k, then f ⁽ⁿ ⁾(x) = x sin(x) - n cos(x)

• if n = 4k + 1, then f ⁽ⁿ ⁾(x) = x cos(x) + n sin(x)

• if n = 4k + 2, then f ⁽ⁿ ⁾(x) = -x sin(x) + n cos(x)

• if n = 4k + 3, then f ⁽ⁿ ⁾(x) = -x cos(x) - n cos(x)

80 is a multiple of 4, so the 80th derivative falls in the first category. Then

f ⁽⁸⁰⁾(x) = x sin(x) - 80 cos(x)

Answer:

2) 98/15 meters

21/5 + 7/3 = 63/15 + 35/15 = 98/15

3) 7/12 of the loaf

1/3 + 1/4 = 4/12 + 3/12 = 7/12

4) 19/8 inches

9/8 + 5/4 = 9/8 + 10/8 = 19/8

5) 73/6 cups

29/3 + 5/2 = 58/6 + 15/6 = 73/6

Let me know if this helps!

Answer:

>

Step-by-step explanation:

Answer:

5.31 > 5.13

Step-by-step explanation:

5.31 is greater than 5.13 as it is farther than 5.13 on the number line.

Answer:

fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase

Hope It Helps!

Answer:

x is less than or equal to 3

Step-by-step explanation:

The dot is a closed dot, which means that it is something or equal to, and the arrow is pointing down, which means less than. So the sign would be less than or equal to (sorry I don't have that sign on my computer). The dot is on three, so the inequality is x is less than or equal to 3.

Answer:

a-2 / a - 1

Step-by-step explanation:

Answer: 2 1/2y

Step-by-step explanation:

This is correct because y is not a number it is a variable. This is y get it. That this is correct. Hope this helps ;)

Answer:

True

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2+3 is equal to 5 so he will make less that 6 cups

Answer:

correct

Step-by-step explanation:

it should be correct

Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

The middle three expressions are equivalent.

Answer:

The above answer is correct

hope it is helpful to you

Answer:

0.193

Step-by-step explanation:

Answer:

The unknown is 44

Step-by-step explanation:

We need to solve for x in the proportion given by :

11 / 1 = x / 4

multiply both sides by 4 to isolate x

11 * 4 / 1 = x

x = 44

9514 1404 393

Answer:

  $1.87 per guest for quantity used

  $1.91 per guest for whole bottles used

  $3.06 per guest for whole cases used

Step-by-step explanation:

The cost of the beverage is ...

  ($189.43/case)(1 case/(12 bottles))(1 bottle/(750 mL)) = $0.02104777.../mL

Each guest consumes 6 cocktails of 0.5 floz each, so ...

  (6 drinks/gues)(0.5 floz/drink)(29.5735295625 mL/floz) ≈ 88.7205 mL/guest

Then the cost per guest is ...

  ($0.02104777.../mL)(88.7205 mL/guest) ≈ $1.86737/guest

The cost per guest for the amount used is about $1.87.

__

The total amount of drink used for all guests is ...

  124(88.7205 mL/guest) ≈ 11,001.4 mL

At 750 mL per bottle, this is ...

  (11,001.4 mL)/(750 mL/bottle) ≈ 14.7 bottles

If you're constrained to pay for 15 bottles, then the cost per guest is ...

  $189.43(15/12)/124 = $1.91 per guest

__

At 12 bottles per case, this is ...

  (14.7 bottles)/(12 bottles/case) ≈ 1.2 cases

If you're constrained to pay for 2 cases, then the cost per guest is ...

  $189.43(2)/124 = $3.06 per guest

Answer:

11

Step-by-step explanation:

just flip the problem around 14+q=25

then do 25-14

Thats your Q

Answer:

10m

Step-by-step explanation:

length = 8m , breadth =6m

diagonal = 8square + 6square

= 64 + 36

= 100 square

=10m

Answer:

Step-by-step explanation:

[tex]\sqrt{8^2+10^2} =\sqrt{64+100} =\sqrt{164} =2\sqrt{41} \approx 12.81 "[/tex]

Answer:

43 square cm

Step-by-step explanation:

8 x 6 - (2 x 5 / 2)

8 x 6 - 5 =

48 - 5 =

43 cm square

Hope that helps!

Answer:

43

Step-by-step explanation:

first rectangle is 6*8=48 and small triangle is (8-3) * (6-4)/2=5*2/2=5*1=5

so 48-5=43

Answer: No

Step-by-step explanation:

you just gotta keep trying and ill help u

1. 6/7

2. 3/5 is already in its simplest form

3. 5 2/9

Answer:

3x7

Step-by-step explanation:

7 + 7 + 7 is 3 x 7 because 7x3=21 and 7+7+7=21

Answer:

5 kilos

Step-by-step explanation:

55:11

5:1 ratio

Answer:

Step-by-step explanation:

[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-[-4]}{-11-[-2]}\\\\=\frac{-7+4}{-11+2}\\\\=\frac{-3}{-9}\\\\=\frac{1}{3}[/tex]