Jerome solved the equation below using the steps shown. Step 1: 3x + 6 = 18 step 2: 3x = 12 step 3: x = 4 what operation did her perform to get from step 2 to step 3

Answer:

? = 16

Step-by-step explanation:

x2 - 8x + ? = 42 + ?

1. Take the coefficient of the middle term 8x, which is 8 and divide it by 2.  [tex]\frac{8}{2} = -4[/tex]. Then square it  [tex]-4^{2} = 16[/tex]

2. Take 16 and add it to both sides: [tex]x^2 - 8x + 16 = 42 + 16[/tex]

2. Take half of the coefficient 8 that you divided by 2, which is 4 and insert 4 into the equation [tex](x -4)^2 = 58[/tex]

3. ? = 16

?Answer:

Step-by-step explanation:

Answer:

D

Explanation:

6/ 1/2 = 6*2, 6*2 not equal to 3

half of 8 is 4, not 16

1/2+2 = 2 1/2

10/ 1/2 = 10*2 = 20

Answer:

I'm not really sure

Step-by-step explanation:

soooooooory

Answer:

[tex]\large\colorbox{gold}{sǫᴜᴀʀᴇ ᴘʏʀᴀᴍɪᴅ}[/tex]

The answer is: 15 ft

Answer:

9m ×5m

Step-by-step explanation:

Area of a rectangle= length ×width

Let the width be W meters and the length be L meters.

2 equations can be written from the given information:

45= WL -----(1)

L= W +4 -----(2)

Substitute (2) into (1):

45= W(W +4)

Expand:

45= W² +4W

-45 on both sides:

W² +4W -45= 0

Factorise:

(W +9)(W -5)= 0

W+9=0 or W-5=0

W= -9 or W= 5

(reject)

Substitute W= 5 into (2):

L= 5 +4

L= 9

∴ The dimensions of the garden is 9m ×5m.

Answer:

[tex]\displaystyle y = \sqrt{2}e^{\frac{1}{2} ln|2 + x^2|}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Differential Equations

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]:                                                             [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

Logarithmic Integration

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y' = \frac{xy}{2 + x^2}[/tex]

[tex]\displaystyle y(0) = 2[/tex]

Step 2: Rewrite

Separation of Variables

Step 3: Find General Solution Pt. 1

Integration

Step 4: Identify Variables

Identify variables for u-substitution for 2nd integral.

u = 2 + x²

du = 2xdx

Step 5: Find General Solution Pt. 2

Our general solution is  [tex]\displaystyle |y| = Ce^{\frac{1}{2} ln|2 + x^2|}[/tex].

Step 6: Find Particular Solution

∴ Our particular solution is  [tex]\displaystyle y = \sqrt{2}e^{\frac{1}{2} ln|2 + x^2|}[/tex].

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Differential Equations

Book: College Calculus 10e

Answer:

Area = x² + 10x + 21

Step-by-step explanation:

Area = L * W

Length = (x + 7)

Width = (x + 3)

=> Area = (x + 7) * (x + 3)

=> Area = x² + 3x + 7x + 21

Combining like terms would result in;

=> Area = x² + 10x + 21

Hope this helps!

Answer:

1180.2

Step-by-step explanation:

The average of 1,000,2300,1000,2600 is 1180.2

Answer:

$19.26

Step-by-step explanation:

12 × .5 = 6

6 + 12 = 18

18 × 0.07 = 1.26

1.26 + 18 = 19.26

Answer:

x = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Cancel the log from both sides and you'll get:

[tex]3x + 2 \: = 4x - 6 \: \\ 6 + 2 = 4x - 3x \: \\ x = 8[/tex]

Answer:

Step-by-step explanation:

X-intercepts mean y=0 so we have

y = x³ - 9x² + 18x = 0

Factoring

x³ - 9x² + 18x = 0

x*(x² - 9x +18) = 0

x*(x-3)*(x-6) = 0

So x-intercepts are at x=0, x=3 and x=6

Answer:

Step-by-step explanation:

see plot, intercepts at 0, 3, 6

Answer:

-6 +8d -2c

Step-by-step explanation:

[tex]\frac{-2}{5} (15 -20d +5c) = \frac{-2}{5} \times 15 - \frac{-2}{5}\times20d +\frac{-2}{5}\times5c = -6 + 8d -2c[/tex]

Part A = 60

Part B is C

Answer:

The one that has 303 as the answer is the correct one

Answer: a. 1

Step-by-step explanation:

Given data: 9, 7, 6, 8, 7, and 5.

Mean absolute deviation: [tex]MAD=\dfrac1n\sum^n_{i=1}|x_i-m|[/tex], where m = mean

mean (m) = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{42}{6}\\\\=7[/tex]

Now, [tex]MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}[/tex]

[tex]MAD=\dfrac{2+0+1+1+0+2}{6}[/tex]

[tex]MAD=\dfrac{6}{6}[/tex]

[tex]MAD=1[/tex]

Hence, the mean absolute deviation=1

Thus correct option is a. 1

Answer:

Am = 5 * 6^(m-1)

Step-by-step explanation:

30/5 = 6

180/30 = 6

Am = 5 * 6^(m-1)

Answer:

33.9

Step-by-step explanation:

r = d/2

= 5.4

[tex]2\pi \: r[/tex]

[tex] = (2)(\pi)(5.4)[/tex]

=33.93

Answer:

Rule by a small group : Oligarchy

Rule by Citizens : Democracy

Rule by No one Anarchy

Rule by king or Queen : Monarchy

Answer:

B) ABD=CDB

Step-by-step explanation:

Step-by-step explanation:

here are all the anwsers

Answer:

76

Step-by-step explanation:

Answer:

I believe the answer is 76

Answer:

the right answer is C

Step-by-step explanation:

___________

9514 1404 393

Answer:

  $851.44

Step-by-step explanation:

The balance is given by the formula ...

  A = Pe^(rt) . . . . principal P, interest rate r, t years

Using the given numbers, we find the balance to be ...

  A = $600·e^(0.07·5) ≈ $851.44

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The first two x-values, -4 and 0, fall in the first part of the function definition.

There is no function definition for x = 4, as the second part only applies for x > 4.

The last x-value, 8, falls in the second part of the function definition.

The function is evaluated by putting the x-value where x is in the expression and doing the arithmetic. For example, ...

  h(-4) = -(-4+1)^2 +7 = -(-3)^2 +7 = -9 +7 = -2

  h(0) = 6

  h(4) = undefined

  h(8) = -8/3