x^2-x-2=0 as a complete square

pint, quart, then gallon

least------------> greatest

When we're solving equations, our prime goal is to isolate the variable. We can do this by using inverse operations to combine like terms.

Examples:

[tex]\sqrt[3]{5x-4}=\sqrt[3]{7x+8}[/tex]

⇒ Here, both sides are being taken to the square root of 3. To remove this, we can raise both sides to the power of 3:

[tex](\sqrt[3]{5x-4})^3=(\sqrt[3]{7x+8})^3\\5x-4=7x+8[/tex]

⇒ Let's move our x variable to the right side of the equal sign and the numbers to the left side. Start by subtracting 5x from both sides:

[tex](\sqrt[3]{5x-4})^3-5x=(\sqrt[3]{7x+8})^3\\5x-4=7x+8-5x\\-4=2x+8[/tex]

⇒ Now, subtract 8 from both sides:

[tex]-4-8=2x+8-8\\-12=2x[/tex]

⇒ Finally, divide both sides by 2 to isolate x:

[tex]\dfrac{-12}{2}=\dfrac{2x}{2}\\\\-6=x[/tex]

x = -6

Answer:

A

Step-by-step explanation:

EDGE 2019

Answer:

The answer is D: "y, because Triangle JHK is similar to triangle LMK".

Step-by-step explanation:

Answer:

the answer is y, because Triangle JHK is similar to triangle LMK

Answer:

C. The quotient of two times some number and four

Step-by-step explanation:

Given the expression 2x÷4

The x be the unknown number.

2x can be written as:

Product of some number and 2 OR two times an unknown number

2x÷4 will then be written as:

The quotient of two times a number and 4

The correct option to describe the equation is "The quotient of two times some number and four"

Answer:

7 ft

Step-by-step explanation:

Answer:

5184

Step-by-step explanation:

5a+2 =2 (4+a)

Simplifying

5a + 2 = 2(4 + a)

Reorder the terms:

2 + 5a = 2(4 + a)

2 + 5a = (4 * 2 + a * 2)

2 + 5a = (8 + 2a)

Solving

2 + 5a = 8 + 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

2 + 5a + -2a = 8 + 2a + -2a

Combine like terms: 5a + -2a = 3a

2 + 3a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0

2 + 3a = 8 + 0

2 + 3a = 8

Add '-2' to each side of the equation.

2 + -2 + 3a = 8 + -2

Combine like terms: 2 + -2 = 0

0 + 3a = 8 + -2

3a = 8 + -2

Combine like terms: 8 + -2 = 6

3a = 6

Divide each side by '3'.

a = 2

Simplifying

a = 2

R=diameter/2=12/2= 6 inches

Area=πr²

Area=3.14×6²

Area=3.14×36

Area=113.04 inches²

Answer:

26880 i think

Step-by-step explanation:

I think it is i hope it helps

Answer:

you havent given the object co ordinates but i hope this helps

Step-by-step explanation:

(A,B) under rotation 180 degrees about a given point lets say (h,k)

is marked onto point (2h-A, 2k-B)

[tex]x^{2} -2x-8=0\\(x-4)(x+2)=0[/tex]

Hope that helps!

Answer: 8 8 4

Step-by-step explanation:the first one is 8 then 8 and then 4

The answers will be ;

a) No. of customers , one employee can help at restaurant is 5.

b) No. of customers , one employee can help at grocery store is 12.

c) The grocery rate of customer per employee is 7 more than restaurant's rate.

A graph for restaurant is given and a table for grocery store is given which represents relation of no. of employees per customer.

We have to solve the subparts of the given question.

What will be the rate if there are 12 customers per 2 employee at a shop ?

The rate at the shop will be 12 ÷ 2 or 6 customers per employee.

As per the question ;

Graph for restaurant is given and a table for grocery store is given.

a)

At restaurant ;

For 2 employees , no. of customers = 10

For 4 employees , no. of customers = 20

So ,

With increase of 2 in number of employees , no. of customers increases by 10.

⇒ No. of customers , one employee can help at restaurant is ;

= 10 ÷ 2

= 5 customers

b)

At grocery store ;

For 2 employees , no. of customers = 24

For 4 employees , no. of customers = 48

So ,

With increase of 2 in number of employees , no. of customers increases by 24.

⇒ No. of customers , one employee can help at grocery store is ;

= 24 ÷ 2

= 12 customers

c)

So ,

The restaurant rate of customers per employee = 5 customers/employee

The grocery store rate of customers per employee = 12 customers / employee

And

The grocery rate of customer per employee is more than restaurant rate by ;

= 12 - 5

= 7

Thus , the answers will be ;

a) No. of customers , one employee can help at restaurant is 5.

b) No. of customers , one employee can help at grocery store is 12.

c) The grocery rate of customer per employee is 7 more than restaurant's rate.

To learn more about rate click here ;

https://brainly.ph/question/7825351

#SPJ2

Answer:

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

Step-by-step explanation:

I = $ 1,937.50

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

Answer:

The answer should be 1,1125,000 because 10,000x 15 x7.5= 1,1125,000.

Answer:

not that hard just think about it really hard

Step-by-step explanation:

Answer:

3 hours.

Step-by-step explanation:

135/45=3

Number of questions Colin thought wrong, N = 14.

So, his score by his prediction will be, S = 50-14 = 36.

Now,

Number of questions which are actually wrong, n = 14 -5 = 9.

His actual score, s = 50 - 9 = 41.

Percentage accuracy is given by :

[tex]\%=\dfrac{Actual-Real}{Real }\times 100\\\\\%=\dfrac{41-36}{41}\times 100\\\\\%=12.195\%[/tex]

Hence, this is the required solution.

Answer:

There should be 6 gaps and 5 of which are filled in.

Here is the situation

Answer:

j ≤ 25

Step-by-step explanation:

Given that :

Total Planned amount on shopping should not be more Than $100

Items purchased : a pair of Jean and 3 shirts

Cost of t-shirt = $25 each

Cost of pair of Jean = j

Amount spent on pair of jeans=?

Total amount spent on shirt = $25 * 3 = $75

Amount left : $100 - $75 = ≤ 25

Hence amount spent on pair of jeans :

j ≤ 25

Answer:

s = 41 cm

Step-by-step explanation:

Since all the sides on a square are equal, we can use this formula for perimeter:  P = 4s

Plugging in 164 gives us 164 = 4s, where solving for s gives us s = 41

Answer:

h = 15 ft

Step-by-step explanation:

using the 2 similar triangles in the diagram then the ratios of corresponding sides are in proportion.

let h be the height of the tree

[tex]\frac{h}{5}[/tex] = [tex]\frac{24}{8}[/tex] = 3 ( multiply both sides by 5 )

h = 15 ft

Answer:

6n + 3 - 3 = 9 - 3

6n = 6

n = 1

Step-by-step explanation:

Answer:

step one: subtract 3 on both sides 6n=6

then divide 6 on both sides n=1

Answer:

First, plug-in x and y as 3sin​​θ-2 and 3cos​​​θ+4 into the equation, respectively:

[tex]((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9[/tex]

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

[tex](3\sin(\theta))^2+(3\cos(\theta))^2=9[/tex]

We can factor out 3^2 = 9 from both equations:

[tex]9(\sin(\theta)^2+cos(\theta)^2) = 9[/tex]

We know from a trigonometric identity that [tex]\sin(\theta)^2+cos(\theta)^2 = 1[/tex], meaning we can reduce the equation to:

[tex]9(1) = 9[/tex]

[tex]9=9[/tex]

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sin​​θ-2 and y=3cos​​​θ+4.

Hope this helped you.

Answer:

answer c

Step-by-step explanation:

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{11.3~\times~ 11.3}{127.69}\\ h=11.8 \end{cases}\implies \begin{array}{llll} V=\cfrac{(127.69)(11.8)}{3} \\\\\\ V\approx 502.2~m^3 \end{array}[/tex]

The approximate length of line segment XY is 20.8 units

The formula for calculating the distance between two points is expressed as:

A = √(x2-x1)²+(y2-y1)²

Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;

XY = √(5+12)²+(6+6)²

XY = √(17)²+(12)²

XY = √269 + 144

XY = 20.8

Hence the approximate length of line segment XY is 20.8 units

Learn more on distance formula here; https://brainly.com/question/661229

Answer:

n + m = 8.27; 3n + 5m = 20.22

Step-by-step explanation:

Let

Cost of the novel = n

Cost of the magazine = m

The cost for a novel and a magazine is $8.27.

n + m = 8.27 (1)

The cost for 3 novels and 5 magazines is $20.22

3n + 5m = 20.22 (2)

The pairs of equation to determine n, cost of the novel and m, cost of the magazine is

n + m = 8.27; 3n + 5m = 20.22

Combining (1) and (2)