This is Adele’s solution for the equation.
x² - 8x – 33 = 0
Step 1: x² - 8x = 33
Step 2: x² - 8x + 16 = 33 + 16
Step 3: (x – 4)² = 49
Step 4: x – 4 = 49 OR x – 4 = - 49
Step 5: x = 53 OR x = - 45
Where did Adele make her mistake? What are the solutions to this equation? Show all of your work.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

I'm pretty sure

Answer 2
The mistake was in step 1.  Here is how to correctly solve the equation: x² - 8x – 33 = 0 (x - 11) (x + 3) = 0 x – 11 = 0 x +3 = 0 x = 11 and x = -3


Related Questions

Please help if not I with find you

Answers

Answer:

7,7,15

Step-by-step explanation:

Because the summation of two sides should be greater than the other one



A pilot can travel 450 miles with the wind in the same amount of time as 396 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 329 miles her hour.

Answers

this makes no sense...

LOOK AT THE PICTURE!!

Answers

Answer:

56

Step-by-step explanation:

Please Im stuck. One box contains 24 bottles of soda. Each bottle contains 0.5 dl. Alex celebrates his birthday and 1/3 of the bottles are drunk. A) How many bottles are drunk? B) How many liters of soda are drunk in total on the birthday?

Answers

Answer:

(a) 8 bottles(b) 0,4 Litres

Step-by-step explanation:

There are

24 bottles/box0,5 decilitres/bottle = 50mL/bottle = 50 × 24 bottles = 1200mL = 1.2 Litres1/3 of the bottles are drunk = 1/3 × 24 = 8 bottles are drunk (a)8 bottles × 50 mL = 400 mL = 0,4 Litre

____________________

#IndonesianPride - kexcvi

Select all the statements that are true

Answers

Answer:

Options 2, 4 and 6 are True.

Step-by-step explanation:

Triangle MNO is dilated by a scale factor of [tex]\frac{3}{2}[/tex] centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

Here, k = scale factor

By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

N(-4, -4) → N'(-6, -6)

O(6, -2) → O'(9, -3)

Option 1

M'N' is shorter than MN

Distance between M and N = [tex]\sqrt{(0+4)^2+(6+4)^2}[/tex]

                                              = 10.77

Distance between M' and N' = [tex]\sqrt{(0+6)^2+(6+6)^2}[/tex]

                                                = 13.42

Therefore M'N' > MN

Therefore, Option A is False.

Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.

True.

Option 5

OM is parallel than O'M'

Since, O'M' is the dilated form of OM,

Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

One card is randomly selected from a deck of cards. Find the odds:
in favor of getting a spade.

Answers

Answer:

1/4 chance or 0.25 or 25%

Step-by-step explanation:

One forth of cards in a deck are spades

Answer:

1/4

Step-by-step explanation:

In a deck of cards, there are 52 cards (not including jokers)

and there are 13 cards that are spades, so it's simply just 13/52 which simplifies to 1/4

Usually I dont need help with questions but this one really has me stuck:

Jan wants to buy a book that is regularly $34.99. Find the cost when it is on sale at 10% off.

Answers

Answer:

$31.491

Step-by-step explanation:

Price of the book=$34.99

Sale given=10%

Price of the book after sale=34.99-{(10/100)*34.99}

=34.99-3.499

=34.990-3.499

=$31.491

For Gianna's lemonade recipe, 8 lemons are required to make 10 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Answers

Answer:

4   5

8    10

24     30

Step-by-step explanation:

CAN SOMEBODY PLEASE HELP ME!!

Answers

Answer:

2,2   2,7   5,7

Step-by-step explanation:

After traveling 70 m in its dive, the submarine is at a depth of 25 m. What will the submarine’s depth be if it continues its dive for another 110 m? (NOTE: The total length of the dive is MORE than 110m!)

Answers

Answer:

Total Depth: 64.28m

Step-by-step explanation:

Assuming that the submarine is travelling at a constant rate, then we can use the information provided and apply a Rule of Three since it is basically a ratio problem. In this rule, you simply need to multiply the diagonal values of the ratio and divide by the last value to get the variable, which would be the depth after 110m

70min  <=======>  25 m

110min  <=======>  x m

(110 * 25) / 70 = x

2750 / 70 = x

39.28 = x

We can see that at 110min the depth would be 39.28 m but since this is an additional period of time that the submarine travelled we need to add this distance to the initial 25 m to get the total depth of the submarine.

39.28m + 25m = 64.28m

A parallelogram has a height of 3.5 feet and a base measurement of 12 feet. What is the area of a triangle that has the same height and base measurement?
42 ft2
28 ft?
O2112
15.5 ft2

Answers

Answer:

42 ft 2 is the closest answer I got

Help Please!
Given the equation of the function
f(x) = 950(.85)^x
What percent decrease does the function represent?
A. .15%
B. 15%
C. 85%
D. 99.15%

Answers

Answer:

My answer may be wrong, but from what I did I think its B

Step-by-step explanation:

Answer:

fifteen percent xx

Step-by-step explanation:

is travelling to another country.
He flies for 7 hours at an average speed of 990 km/h on one plane.
He then flies for 6 hours 15 minutes at an average speed of 920 km/h on a second plane.
What is the total distance, in km, he travelled by plane?

Answers

Answer:

First time=7hours

First speed=990km/hour

First distance=first time×first speedD=(

S×T)

D=990km/hr×7hrs

D=6930km.

Second time=6&14min.

Second speed=920km/hr

Second distance=second speed×second time (D=s×t)

D=920km/hr×6&14min.

D=1500

Total distance=6930+1500

=8430

Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather, traffic conditions, and the employer's line of business. One week after its release, 6,040 copies of Slick Slack were downloaded. After 5 weeks, 13,090 copies had been downloaded. Let x represent the number of weeks since Slick Slack was released, and y represent the number of copies that had been downloaded. Use the marginal change and the fact that 1 week after its release 5840 copies of Slick Slack were downloaded to determine the y intercept in the equation y = a + bx.
a) (x,y) =____.
b) write the equation in the form y = a + bx for the number of copies downloaded x weeks after its release.

Answers

Answer:

[tex](x_1,y_1) = (1,5840)[/tex]

[tex](x_2,y_2) = (2,13090)[/tex]

[tex]y = 1812.5x + 4027.5[/tex]

[tex]y_0 = 4027.5[/tex] --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

[tex](x_1,y_1) = (1,5840)[/tex]

[tex](x_2,y_2) = (5,13090)[/tex]

Next, we calculate the slope (m) using:

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

[tex]m = \frac{13090 - 5840}{5 - 1}[/tex]

[tex]m = \frac{7250}{4}[/tex]

[tex]m = 1812.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 1812.5(x - 1) + 5840[/tex]

[tex]y = 1812.5x - 1812.5 + 5840[/tex]

[tex]y = 1812.5x + 4027.5[/tex]

To calculate the y intercept, substitute 0 for x

[tex]y_0 = 1812.5*0 + 4027.5[/tex]

[tex]y_0 = 0 + 4027.5[/tex]

[tex]y_0 = 4027.5[/tex]

Help me with this please

Answers

I believe it is 15

90-75=15

Answer:

x = 37.5

Step-by-step explanation:

The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees.  That gives us the number 105°

Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).

That gives us:

(180 / 105) / 2

= 75 / 2

= 37.5

please help it due rn ​

Answers

Answer:

I think that the answer would be C .

hope it was helpful :)

what is the distance between ( -5, 3 ) and ( 3, 3 ) ?

Answers

Answer:

distance between these point is 8

Step-by-step explanation:

d=

[tex] \sqrt{( 3- - 5) ^{2} + (3 - 3)^{2}} [/tex]

Answer:

8 is the distance between them

FYI distance formula is the square root of (x2 -x1)^2 = (y2- y1)^2

Step-by-step explanation:

art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how many school days did the construction paper last?

Answers

Answer:

25

Step-by-step explanation:

025

18 |450

- 36

090

- 90

00

A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter

Answers

Answer:

haach f,f msfmavfb

Step-by-step explanation:

f^-1(x)= -3+^3 squareroot x+4 is the inverse function of f(x)= (x-3)^3 +4 true or false

Answers

that the answer is true

Estimate 4/5x6/7
I WIL MARK BRAINLIEST IF ITS THE BEST ANSWER

Answers

Answer:

Simplify x6/7

4/5 x x6/7

Simplify 4/5

4/5 x x6/7

Finally the answer

4x6/35

If a jar contains 5 red marbles, 4 blue marbles, 7 yellow marbles, and 3 green marbles, what is
the probably that a randomly selected marble is red or yellow?

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

Likely

Step-by-step explanation:

The answer is likely because out of 19 marbles the probablility o choosing a red or yelow marble is 12. When you divide 12 by 19 then you get 63 which is close to the likely side.

A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.

What is the volume of the desk drawer?

pls help Ill give you brainiest and pic for your profile

Answers

Answer:

1470

Step-by-step explanation:

Someone please explain how you got the answer please and thank you

Answers

Answer:

3 texts by madelyn, there were 2 texts from aubrey

Step-by-step explanation:

the ratio of maddie to aubrey was 18:12 which is 3:2

so 3 by maddie = 2 by aubrey

i used maddie because its shorter

Answer:

6 + 6 is 12 and 12 + 6 is 18 so i think its for every 6 text sent and then 6 again (6 in both boxes)

Step-by-step explanation:

adore your sasha pfp

Pls help me with this problem

Answers

Answer:

what is your problem?    

Step-by-step explanation:

The steps for deriving the Quadratic Formula are shown. Which is the BEST choice for the missing reason?
A) factor
B) simplifi
C) complete the square
D) take the square root of both sides​

Answers

Answer:

A) Factor

Step-by-step explanation:

The correct choice for the missing reason is,

⇒ Factor

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The steps for deriving the Quadratic Formula are shown.

Now, From fifth step;

⇒ x² + bx/a + b²/4a² + ----- - c/a + b² / 4a²

Hence, By factor we get;

⇒ (x + b/2a) (x + b/2a) +   ------ - c/a + b² / 4a²

So, The correct choice for the missing reason is,

⇒ Factor

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ2

Which equation describes the line of best fit for the scatter plot?

A.) y=2.7x B.) y=2.7x-4 C.) y=0.37x D.) y=0.37x-4

Answers

The answer to your question is A

divide the 240g into the ratio 5:3:4?​

Answers

5x+ 3x +4x =12x

12x =240

X=20

100:60:80

x-3=14 use the opposite operation found in the equation.

Answers

Step-by-step explanation:

x-3=14

x=14+3

x=17

verification

x(17)-3=14

17-3=14

14=14

The volume can be determine by subtracting volume of smaller cuboid from the volume of the bigger cuboid.
Thus, by removing smaller cuboid from the bigger, we can determine the volume of the resultant figure.
Thus, Option (b) is correct.

Anthony bought a new rectangular table for his living room. The length of the table is 4 feet and the perimeter of the table is 14 feet. What is the width of the table?

Answers

Answer:

3 feet

Step-by-step explanation:

If the length is 4 feet, there are two lengths so you get 8

14-8= 6

Because there are two widths, you do 6 divided 2 and you get 3 feet

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