Seth solved a quadratic equation. His work is shown below, with Step 3 missing.
What could Seth have written as the result from Step 3?
+ (x 1)2 + 5 = 23
5(x - 1)2 = 18
Step 1
(x - 1)2 = 36
Step 2
Step 3
x = -5 or = 7
Step 4

Answers

Answer 1

Answer:

|x - 1| = 6

Step-by-step explanation:

After step 2, we have that:

(x - 1)^2 = 36

and after step 4, we have the results:

x = -5 or x = 7

After step 2, what we can do in step 3 is: use square root in both sides of the equation:

|x - 1| = 6

This equation can be split in two:

x - 1 = 6 -> x = 7

x - 1 = -6 -> x = -5

So Seth could write this equation in step 3:

|x - 1| = 6

Answer 2

The value of x from the given expression are 5 and 7

Solving expression for the variable

Given the expression

5(x - 1)^2 = 18

Step 2 as shown is given as:

(x - 1)^2 = 36

Take the square root of both sides

√(x - 1)^2 = √36

x - 1 = 6

The solutions are x - 1 = 6 and x + 1  = 6

x = 6 + 1 = 7

x = 6 - 1

x = 5

Hence the value of x from the given expression are 5 and 7

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Related Questions

You are choosing between two health clubs. Club A offers membership for a fee of $28 plus a monthly fee of $24. Club B offers membership for a fee of $35 plus a monthly fee of $17. After how many months will the total cost of health club A be at least the total cost for Club B

Answers

Answer:

The cost will be the same after 1 month

Step-by-step explanation:

Step 1: set up the equation

club A= 28x+24  club B= 35x+17

club A=club B: 28x+24=35x+17

Step 2: Get rid of the smallest X

28x+24=35x+17

-28         -28

24=7x+17

Step 3: Get rid of the constant next to the variable to isolate the variable

24=7x+17

-17       -17  

7=7x

Step 4: Inverse operation to remove variable

7÷7x=7x÷7x

1=1

I hope this helped, im not too good at explaining but im positive the solution is correct.

Answer:

With $35, a member is paying 100%.

Since the reduction is 5%, that means his is paying now 95% of $35,

that means $35 x 0.95 = $33.25, So the decrease in fees is 35-33.25 = $1.75

Another method: the reduction was 5% on the $35 or 5% x 35 = 0.05x35=$1.75

Step-by-step explanation:

A wholesaler sells rolls of fruit snacks in two sizes of bags. The table shows the number of rolls that come in each bag. Write an expression that could be used to determine the number of rolls in 3 large bags and 2 small bags. Then find the number of rolls.

Answers

Answer:

3 × 10 = 30 2 ×5 = 10

Step-by-step explanation:

30 + 10 = 40 rolls

Read the passage from "The Walrus and the Carpenter."
The sun was shining on the sea,
Shining with all his might:
He did his very best to make
The billows smooth and bright —
And this was odd, because it was
The middle of the night.

Which of the elements of poetry best contribute to the sound of the poem?



A.) The sound creates personification.

B.) The sound contributes to the poem's theme.

C.) The sound makes the poem sillier.

D.) The sound makes the poem more formal.

Answers

Answer: i think the awnser is c

Step-by-step explanation: hope it helps

Answer:

the answer is The sound makes the poem more formal AKA C I hope this helps.

Can someone help me with the first answer please??15 points**

Answers

Answer:

The answer would be 21 because 70% of 30 is equal to 21.

                          Vote me brainliest :) please!

Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation?
A) y = -4/3 x + 31.
y = 2 x + 7.

B) y = -4/3 x + 31/3
y = 2 x + 7.

C) y = -4/3 x + 31.
y = -2 x + 7.

D) y = -4/3 x + 31/3
y = -2 x + 7.

Answers

Answer:

B) y = -4/3 x + 31/3

y = 2 x + 7

Step-by-step explanation:

The equations above match the description given about them.

If this answer is correct, please make me Brainliest!

The volume of a cone with a height of 6 cm is 8pi cubic cm. Which expression can be used to find r, the radius of the cone?

Answers

Answer:

1/3πr^2h=1/3πr^2(6)

Step-by-step explanation:

Use the cone formula and set it equal to what you have given from the problem.

Answer:

d

Step-by-step explanation:

i just did the quiz and got 100 percent

Help please, I don’t understand

Answers

Answer:

v = 16.155 m/s

Step-by-step explanation:

[tex]W = 0.5 mv^2 \\ plug \: m = 6 \: and \: w = 783 \\ 783 = 0.5 \times 6 \times {v}^{2} \\ 783 = 3 {v}^{2} \\ {v}^{2} = \frac{783}{3} \\ {v}^{2} = 261 \\ v = \sqrt{261} \\ v = 16.1554944 \\ \huge \red{ \boxed{v = 16.155 \: m {s}^{ - 1} }} \\ [/tex]

The data shows the ages of people in a restaurant.

20, 25, 5, 28, 66, 62, 21, 28, 34, 38, 40, 10, 12, 15, 45, 50, 28



Create a histogram of this data.

To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.

Answers

Answer:

Hi! I added a picture.

Tell me if you need help!

Hope this help, have a great day, and Stay Safe!

Answer:

heres mine for a math unit test!

have a wonderful day!!

What is the minimum volume of hot air needed to lift a hot air balloon carrying 800kg

Answers

Answer:

The minimum volume of hot air needed to lift a hot air balloon carrying 800kg

Is 653.1m³

Step-by-step explanation:

This problem bothers on the density of materials in this problem air

Given data

Volume of air V=?

Mass of air m= 800kg

From tables the density of air is

ρ =1.225 kg/m3

Now to solve for the volume we have

ρ=m/v

v=m/ρ

v=800/1.225

Volume v = 653.1m³

I AM IN DIRE NEED PLEASE SOMEONE ANSWER!!!!!!!!
Which equation represents a proportional relationship between the x and y values?
A) y + 4 = 3x
B) y − 3x = 0
C) y + 5x = 6
D) y + 1/4x = 2

Answers

Answer:

B

Step-by-step explanation:

In a proportional relationship the equation is of the form

y = kx ← k is the constant of proportion

The only equation that can be expressed in this form is

y - 3x = 0 ( add 3x to both sides )

y = 3x ← in proportional form with k = 3

 


what is ordering fraction and give me example please

Answers

Answer:

Ordering fractions means putting them in order technically. Such as from least to greatest or greatest to least.

Example:

6/8, 12/18, 15/19

This is a least to greatest example.

Answer: Arranging either in increasing or decreasing order.

Basically it's like Greatest to Less, and Less to Greatest.

Greater to Less

[tex]4/5 > 6/8 > 2/4 > 1/4[/tex]

Less to Greater

[tex]1/4 < 2/4 < 6/8 < 4/5[/tex]

This is just like putting ordinary numbers Greatest to Less or Less to Greatest.

Which equation represents a line with a slope of zero?
y = 2 x
y = negative one-half x + one-half
y = 4
x = negative 5 pPLS URRY

Answers

Answer:

y = 4

Step-by-step explanation:

This is a never changing equation that sets y as 4 no matter what, so it's a horizontal line, a slope of zero.

Which sets can be represented using the Venn diagram below?


Answers

Answer:

There is no Venn Diagram!

Step-by-step explanation:

There is no answer, where is the Venn Diagram?

A= {animals}; B= {mammals} or C

Fast please I need right now

Answers

Answer:

the answer is C

Step-by-step explanation:

WC= 15 and CO = 17, what is OW?

Answers

We know that triangle COW is a right triangle by the Tangent to a Circle Theorem.

So, we can use Pythagorean Theorem to find OW.

OW² + WC² = CO²

OW² + 15² = 17²

OW² + 225 = 289

OW² = 64

OW = 8

Final answer:

OW, the length of the side of the right triangle, can be found using the Pythagorean theorem. Substituting the given values into the formula and solving for OW gives a result of 8.

Explanation:

The question seems to present us with a right triangle, where WC is one leg, CO is the hypotenuse, and OW is the other leg we need to find. We can use the Pythagorean theorem, which says that in a right triangle, the square of the hypotenuse (CO) is equal to the sum of the squares of the other two sides (WC and OW). In a formula, this is a² + b² = c², where c is the hypotenuse.

Substituting the given measurements into the formula we get: WC² + OW² = CO², so OW² = CO² - WC².

OW = sqrt(CO² - WC²) = sqrt((17)² - (15)²) = sqrt(289 - 225) = sqrt(64), so OW = 8.

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Write 9/10 as a percent and decimal

Answers

0.9 I think is the answer

Answer:

90% and 0.9

Step-by-step explanation:

Please help me... Everyone is getting this wrong...

Answers

i don’t see anything there, i think my phone might be broken?
angle 4 is 137, angle 3 is 43. Your friend might’ve just mixed up the angles and mislabeled them.

Help!!
How many solutions does this system have?

y = 3/4x - 5
3x+ 4 y= -20
one
two
an infinite number
no solution

Answers

Answer:

one solution

Step-by-step explanation:

y = 3/4x - 5

3x+ 4 y= -20

Substitute the first equation into the second equation

3x+ 4 (3/4x -5)= -20

Distribute

3x +3x - 20 = -20

6x -20 = -20

Add 20 to each side

6x -20+20 = -20+20

6x = 0

x=0

We need to find y

y = 3/4x -5

y =0-5

y = -5

There is one solution

Answer:

A) one

Step-by-step explanation:

y = 3/4x - 5

3x+ 4 y= -20

3x + 4(3x/4 - 5) = -20

3x + 3x - 20 = -20

6x = 0

x = 0

y = -5

One solution: (0,-5)

What is the product?
(-3s +21)(45-6)
A-1252-222
B-1252 +222
C-1252 +8st – 22
D-12s +11st-212​

Answers

The solution to the product of the algebraic expression is: -12s² + 11st - 2t²

How to solve algebraic expressions?

The algebraic expression is given as:

(-3s + 2t)(4s - t)

(-3s + 2t)(4s - t)

Use the foil method to multiply the terms. So, we distribute -3s to (4s - t) and we will also distribute 2t to (4s - t) as well.

-12s² + 3st + 8st - 2t²

Now combine like terms.

-12s² + 11st - 2t²

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Complete question is:

What is the product?

(-3s + 2t)(4s - t)

please help me 20 points!

Answers

Answer:

37.7 is the volume

Step-by-step explanation:

You just need to solve with the formula

(I hope it helps!)

V= π r ² h/3
V= π (3 ²) (4/3)
V= π (9) (4/3)
V= π (12)
V= 37.7 units ³

What was the total cost?

Answers

Answer:

The total cost = $13.2

Step-by-step explanation:

Cost of per kg spherical beads =$ 3

Cost of 4.4 kg spherical beads =$ 3× 4.4= $13.2

Answer:13.2$

Step-by-step explanation:

Multiply the binomials (2x − 4) and (2x − 3). A) 4x2 − 14x + 12 B) 4x2 − 14x − 12 C) 4x2 + 2x − 12 D) 4x2 − 2x − 12

Answers

The right answer is of option A

look at the attached picture

Hope it will help you..

Answer     option A

Step-by-step explanation:

Ben sold tires for $35.55 each. How much, x, did he make after selling t, tires?

Answers

Answer:

x=35.55t

Step-by-step explanation:

Pls mark Brainliest.

Answer:

Since t is the number of tyres, we multiply it by the unit rate, i.e. the cost per tyre; since x is the total amount of money he makes from selling tyres the equation will look like:

x = 35.55t

QUESTION 3

Construct a function for the relationship.

Answers

Answer:

f(x)=3x-4

Step-by-step explanation:

Which is the correct way to model the equation Negative x + 8 = 7 x + (negative 8) using algebra tiles?

Answers

You would have:

1 negative x tile and 8 positive unit tiles on the left side and 7 positive x tiles and 8 negative unit tiles on the right side.

Answer:

1 negative x tile and 8 positive unit tiles on the left side and 7 positive x tiles and 8 negative unit tiles on the right side. is the answer.

Step-by-step explanation:

e d g e 2020

What is the area of the triangle?
6 ft
b=3.6 ft
h=4.8 ft

A=8.64 ft?
B=10.8 ft
C=14.4ft?
D=17.28 ft?

Answers

The right answer is of option A.

Look at the attached picture

Hope it will help u..

Answer:

A = 8.64ft

Step-by-step explanation:

Use the triangle formula. Do:

A = hb/2 (A = area, h = height, b = base) after using this formula you should end up with 8.64ft

Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.

She uses her ruler to draw a 4 inch line segment .

She uses her compass to draw a circle around point  with radius 3 inches

She draws another circle, around point  with radius 5 inches.


Answers

Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.

ΔABC and ΔABD are the required Triangle.

What is Construction?

Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this. Perpendicular bisector and angle bisector are the fundamental constructions.

We have,

Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.

Elena should find the intersection of two circles at point C and point D.

Connect point B and C, A and C or connect them.

ΔABC and ΔABD are the required Triangle.

Learn more about Construction here:

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Family A and Family B both have 8 people in their family.
The ages of each member is listed below.
Family A: 35, 5, 42, 9, 16, 3, 8, 12
Family B: 1, 5, 29, 3, 7, 35, 6, 9
Which statement is correct about the variability of the two
families?
a. The variability is the same for both Family A and Family B
because they have the same mean absolute deviation
b. The variability for Family A is greater because the mean is
greater for Family A
c. The variability for Family B is greater because the mean
absolute deviation is greater for Family
d. There is not enough information to determine the variability,

Answers

Answer: the answer B

Step-by-step explanation:because it has higher smaller numbers than B

This is about variability.

Option B is correct.

Variability is just a measure of the consistency of  the values in a given data .

Let's find the mean of both families data set;

Family A: 35, 5, 42, 9, 16, 3, 8, 12

Mean of Family A ages = (35 + 5 + 42 + 9 + 16 + 3 + 8 + 12)/8 = 16.25

Mean of Family B ages = (1 + 5 + 29 + 3 + 7 + 35 + 6 + 9)/8 = 11.875

Now, the higher the mean, the higher the variance and thus the higher the variability.

Thus, we can conclude that; The variability for Family A is higher because its' mean is higher.

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Find the missing side length, s.

Answers

Answer:

s=10

Step-by-step explanation:

Solve the equation logo(13 - x) = 1.
x =

Answers

Answer:

x=12

Step-by-step explanation:

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