This is Adeles solution for the equation x^2+8x- 9 = 0 Step 1 x^2 +8x = 9 Step 2 x^2 +8x + 16 = 9 + 16 Step 3 ( x + 4 ) ^2 = 25 Step 4 x + 4 = 25 or x + 4 = - 25 Step 5 x = 21 or x = - 29. Where did Adele make her mistake? What are the solutions to this equation? Show all of your work. 2. Which would be the best method to use to solve the following equation. Explain your reasoning. A x^2 - 49 = 0 B. x^2 - 3x - 4 = 0 C. x^2 - 2x - 6 = 0 ​

Answers

Answer 1

Answer:

Adeles forgot to square root 25 in step 4 therefore the solutions would be 1 and -9

Step-by-step explanation:

Equation : x² + 8x - 9 = 0

Step 1 : x² + 8x = 9

Step 2 :  x² + 8x + 16 = 9 + 16

Step 3 :  ( x + 4 )² = 25

Step 4 :  x + 4 = 25 or x + 4 = - 25

Step 5 :  x = 21 or x = - 29.


Related Questions

One box holds six eggs. If the farmer has 594 eggs, how many boxes of eggs does he have ​

Answers

Divide total eggs by number of eggs per box:

594 / 6 = 99

They has 99 boxes of eggs.

Answer:

594÷6=99

Step-by-step explanation:

YOU DIVIDE THE SUM OF EGGS AND THE NUMBER OF BOX HOLDING

Find the measure of 2.
63° 117°
62 = [?]
Enter

Answers

Answer:

63°

Step-by-step explanation:

Angle <2 and the angle with measure of 63 are alternate exterior angles and has same measurement.

Malik purchased a pair of roller blades that were originally priced at $250 for a sale price of
$180. He charged the roller blades on his credit card and made the minimum monthly
payment of $20. When he received his first statement, he read that the minimum finance
charge for each month that there was a balance on the card would be $15. How many
months will Malik need to pay off the roller blades? (Assume that a minimum finance
charge of $15 will apply to all balances of $250 or less.)

Answers

Answer:f he made a first payment of $20 shortly after the purchase, he would have a balance of $180-$20=$160, before they applied the first $15 finance charge, but he will see a balance of $180-$20+$15=$175 (with the finance charge) in that first statement.

Each month, his balance will change by -$20+$15=-$5, so it will take him, another 32 payments to reduce that $160 to $0. That month, he will pay the $20 balance to get a balance of zero, and hopefully see no more finance charges.

In all, paying the minimum $20 payment each month, Malik will make 33 such payments for a total of $660. If he saved $20 per month, he could have saved $180 in 9 months, or $260 in 13 months, and he would have saved a lot of money. He would probably have to pay the $250 regular price, and would have missed about a year of roller blading, but he would have saved $660-250=$410.

Step-by-step explanation:

18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0)

Answers

Answer:

a. m = -1, y-int = 0

b. m = 2/3, y-int = -5/3

c. m = -1/2, y-int = 2

Step-by-step explanation:

-Expand equations on both sides.

-Make 'y' the subject by collecting like terms and moving everything to the right, e.g. y = ...

-Slope is the number in front of x.

-Find y-intercept by letting x = 0 and solve the equation.

Please help I need a quick answer

Answers

Answer:

the first one

Step-by-step explanation:

have a great day :D

In the cafeteria, there are 50 seats, of which, 22 seats are empty and 28 seats are occupied.
What is the ratio of occupied seats to empty seats?
14:25
a
11:25
11:14
14:11

Answers

Answer

2

Step-by-step explanation:

a fruit company delivers its fruit in two typed of boxes: large and small. A delivery of 2 large boxes and 3 small boxes has a total weight of 72 kilograms. A delivery of 6 large boxes and 5 small boxes has a total weight of 162 kilograms. How much does each type of box weigh?

Answers

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of
2
large boxes and
3
small boxes has a total weight of
83
kilograms. A delivery of
4
large boxes and
8
small boxes has a total weight of
197

What is the area of the triangle? ​

Answers

Answer:

10

Step-by-step explanation:

1/2×(-2-(-7))×(6-(-4))

My work is down below.download the pdf and look at it.Please answer it!

Answers

Hmmm blank picture :/

PLS HELP WILL GIVE BRAINLESS

Answers

Answer:

1a. 3/8

1b. 4/12-1/3

Step-by-step explanation:

to get the answers you have to find a common denominator and then add them

Answer:

The answer would be

a) 3/8

b) 1/3

HELPPPPPPPPP MATH PLEASE

Answers

Answer: 14

Step-by-step explanation:

Answer:

12 units^2

Step-by-step explanation:

The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.

Add these up to get 2+4+6 = 12

Marc and Anthony are pulling weeds. The can pull 25 weeds every three minutes. How many weeds can they pull in 15 minutes?

Answers

Answer:

125 weeds in 15 mins

Step-by-step explanation:

125 is your answer ...

giving brainliest !!!

Answers

Answer:

156.6 meters squared

Step-by-step explanation:

There are 3 triangles for the sides. The area for a triangle is one half base times height. So we are doing one half of 9 times 9. This is 40.5. Since there are 3 of them we can just multiply 40.5 times 3 to get 121.5. And now to solve for the base triangle, it is one half of 9 times 7.8. We get 35.1. Now add together 121.5 and 35.1. We get 156.6. Now since this is surface area it is meters squared.


I need help the question is what is the are of the composite figure

Answers

Answer:

Option 4

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and 'h' is the height between the bases.

Area of the composite figure = Area of two trapezoids given

                                                = [tex]\frac{1}{2}(12+12)14+\frac{1}{2}(25+31)11[/tex]

                                                = [tex]\frac{1}{2}(24)(14)+\frac{1}{2}(56)(11)[/tex]

                                                = 168 + 308

                                                = 476 square ft

Option 4 is the answer.

Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply.

Answers

Answer:

Step-by-step explanation:

b + 10 = 60

Choose the answer that shows what to do in the process step, and what the solution (answer is).

Question Options:

add 10; b = 50

subtract 10; b = 50

multiply by 10; b = 50

divide by 10; b = 50

Answers

Subtract 10; b=50

If it's a sum then you need to subtract

Answer:

B

Step-by-step explanation:

Find the following
(u•w)(2)=
(w•u)(2)=

Answers

Answer:

[tex](u \circ w)(2) = -34[/tex]

[tex](w \circ u) = -49[/tex]

Step-by-step explanation:

We are given these following functions:

[tex]u(x) = 4x + 2[/tex]

[tex]w(x) = -5x + 1[/tex]

The first step to solve this question is finding the composite functions. So

[tex](u \circ w)(x) = u(w(x)) = u(-5x+1) = 4(-5x + 1) + 2 = -20x + 6[/tex]

[tex](w \circ u)(x) = w(u(x)) = w(4x + 2) = -5(4x+2) + 1 = -20x - 9[/tex]

At x = 2

Now we replace x by 2 in each of the functions. So

[tex](u \circ w)(2) = -20(2) + 6 = -40 + 6 = -34[/tex]

[tex](w \circ u)(2) = -20(2) - 9 = -40 - 9 = -49[/tex]

Another submarine's descent can be represented as y=-240x, where y is the elevation and x is the time in hours. How long did it take the submarine to descend to the seafloor 2,100 feet below the surface?

Answers

Answer:

8 hours and 45 minutes

Step-by-step explanation:

-2100 divided by -240 = 8.75 or 8 hours and 45 minutes

Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.
GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99
(1) The null and alternative hypothesis would be:
a.H0:μN≥μD
H1:μN>μD.
b.H0:μN=μD
H1:μN≠μD.
c.H0:pN≥pD
H1:pN d.H0:pN=pD
H1:pN≠pD.
e.H0:μN≤μD
H1:μN<μD
f.H0:pN≤pD
H1:pN>pD.
(2) The test is:_______.
a. right-tailed.
b. two-tailed.
c. left-tailed.
(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02

Answers

Answer:

Step-by-step explanation:

Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.

GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99

(1) The null and alternative hypothesis would be:

a.H0:μN≥μD

H1:μN>μD.

b.H0:μN=μD

H1:μN≠μD.

c.H0:pN≥pD

H1:pN d.H0:pN=pD

H1:pN≠pD.

e.H0:μN≤μD

H1:μN<μD

f.H0:pN≤pD

H1:pN>pD.

(2) The test is:_______.

a. right-tailed.

b. two-tailed.

c. left-tailed.

(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02

If two angles are vertical, the sum of their measures is equal to the measure of a right angle true or false?

Answers

Step-by-step explanation:

False,

Vertical angles isn't always complementary l

Answer:

true

Step-by-step explanation:

If two angles are congruent, their measures are equal.

SOLVE FOR X TO THE NEAREST TENTH

Answers

Answer:

x = 8.8

Step-by-step explanation:

First, you have to solve the side length for the smaller triangle.

[tex]c= \sqrt{ a^{2} +b^{2} }\\c= \sqrt{5^{2}+4^{2} } \\\\c=\sqrt{25+16} \\c=\sqrt{41} \\c= 6.4\\[/tex]

Now for the bigger square.

[tex]c= \sqrt{ a^{2} +b^{2} \\} \\c = \sqrt{6.4^{2} +6^{2} } \\c= \sqrt{40.96+36} \\c= \sqrt{ 76.96}\\c= 8.77\\[/tex]

Rounded to the nearest tenth = 8.8

https://g.co/kgs/dg245M

I use this for my pythagorean theorem questions

In a baseball card collection, 40% of the cards are worth more than $100. If 12 cards in the collection are worth more than $100, how many total baseball cards are in the collection?

Answers

Answer:

30

Step-by-step explanation:

Total number of cards = number of cards worth more than 100  divided by the rate of those cards among total cards = 12/40% = 30

⚠️⚠️⚠️PLEASE ANSWER ASAP ILL GIVE BRAINLIEST ⚠️⚠️⚠️

Select all of the applicable transformations from the parent function y=x^2 to y=-(x+2)^2-3

reflection

vertical translation up 2

vertical translation down 3

vertical translation up 3

horizontal translation left 3

horizontal translation right 2

horizontal translation left 2

compression by a factor of 3

stretch by a factor of 2

Answers

Answer:

reflection

vertical translation down 3

horizontal translation right 2

Step-by-step explanation:

Given

[tex]y = x^2[/tex] ---> Parent function

[tex]y = -(x+2)^2-3[/tex]

Required

All possible transformations

First, the parent function is reflected across the x-axis:

This gives:

[tex]y = x^2[/tex] [tex]==>[/tex] [tex]y =-x^2[/tex]

Next, it is translated horizontally right by 2

The rule is:

[tex](x,y)==>(x+2,y)[/tex]

So:

[tex]y =-x^2[/tex] [tex]==>[/tex] [tex]y = -(x +2)^2[/tex]

Lastly: it is translated vertically down by 3

The rule is:

[tex](x,y)==>(x,y-3)[/tex]

So:

[tex]y = -(x +2)^2[/tex] [tex]==>[/tex] [tex]y = -(x +2)^2 - 3[/tex]


1. Observa el siguiente conjunto de enteros (-1,0, 1)

A. ¿Cuál de las propiedades de los números reales son verdaderas
para el conjunto?

Answers

Answer:

no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas

Step-by-step explanation:

what is the slope of the line through the points (-2,-1) and (4,3)

Answers

Answer:

2/3

Step-by-step explanation:

the slope is change of y divided by change of x

[tex]m = \frac{2}{3} [/tex]

Step-by-step explanation:-

[tex]( - 2, - 1) = (x {1} ,y {1}) [/tex]

[tex](4,3) = (x{2} ,y{2} )[/tex]

BY USING SLOPE OF LINE FORMULA

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{(3 - ( - 1))}{(4 - ( - 2))} [/tex]

[tex]m = \frac{(3 + 1)}{(4 + 2)} [/tex]

[tex]m = \frac{4}{6} [/tex]

[tex]m = \frac{2}{3} [/tex]

A rectangle has a length of 18 11/12 ft and a width of 5 1/2 ft. What is the area?​

Answers

Answer:

104.04 ft.²

Step-by-step explanation:

length times width

Answer:

104.042

Step-by-step explanation:

area of rectangle=length*width

An experiment consists of spinning the spinner once. a: Find the probability of landing on a 2. b: find the probability of landing on a 1. c: Is landing in each section of the spinner equally likely to occur? Explain.

Answers

Answer:

points

Step-by-step explanation:

The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds people. By selling​ tickets, the members would like to raise ​$ every night to cover all expenses. Let d represent the number of adult tickets sold at ​$. Let s represent the number of student tickets sold at ​$ each. If all seats are filled for a​ performance, how many of each type of ticket must have been sold for the members to raise exactly ​$​? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that​ performance, how much below the goal of ​$ did ticket sales​ fall?

Answers

Answer:

a) At $3,300 for 600 seats, the average price per seat is 3300/600 = $5.50. The mix of tickets that results in that average can be found using an X diagram as shown below. The numbers on the right are the differences along the diagonals. When they are multiplied by 2, they add to 600. This shows that the required sales for revenue of $3,300 are

 200 adult tickets

 400 student tickets

b) When 3 student tickets are sold for each adult ticket, the average seat price is

 (3*$4.50 +7.50)/4 = $5.25

Then the shortfall in revenue is ...

 $3,300 -480*$5.25 = $780

What is the slope of the line ?(khan academy)

Answers

Answer:

The slope of the line is 2.

Step-by-step explanation:

Slope of a line:

Suppose that we have two points. The slope of the line is given by the change in y divided by the change in x.

In this question:

Points (0,0) and (1,2)

Change in y: 2 - 0 = 2

Change in x: 1 - 0 = 1

Slope: [tex]m = \frac{2}{1} = 2[/tex]

The slope of the line is 2.

Expand (2x - 5)4 with the help of Pascal's triangle

Answers

Answer:

8x-20

Step-by-step explanation:

8x-20

(2x-5)4 2x*4

8x- 4*5

8x-20

Answer:

Answer:(2x-5)4

Answer:(2x-5)42x=20

Answer:(2x-5)42x=20or,x=20/2

°°°x=10

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