complete the square to form a true equation;
x^2-3/4x+__ = (x-__)^2

If 9 − 3x < 54 then the following x > -15 must be true.

Inequalities is an expression used to show the non equal comparison of two or more variables.

Given the inequality:

9 − 3x < 54

Subtracting 9 from both sides of the equation:

9 - 3x - 9 < 54 - 9

-3x < 45

Dividing both sides of the equation by -3:

-3x/-3 < 45/-3

x > -15

If 9 − 3x < 54 then the following x > -15 must be true.

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Answer:

Step-by-step explanation:

6x + 10 + 2x + 26 = 180

8x + 36 = 180

8x = 144

x = 18

Answer:

4.8

Step-by-step explanation:

add all values and divide it by 5

Answer:

Range is {3,-1, 15}

Step-by-step explanation:

Answer:

{3, -1, 15} is the range.

Step-by-step explanation:

Answer:

-14x

Step-by-step explanation:

Answer:

which question ?

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

She has 1 snake plant for every 3 orchids.

Answer:

The answer is x = 1

Hope this helps! :)

(sqrt) x + 3 = x + 1

x + 3 = x^2 + 2x + 1

x + 3 - x^2 - 2x - 1 = 0

-x + 2 - x^2 = 0

x^2 + x - 2 = 0

(x - 1) (x + 2) = 0

x = 1, -2

^^no negatives/canceled

x = 1

Answer:

See image

Step-by-step explanation:

Let w=width

And let l=length

Perimeter is the distance all the way around the outside of the shape. Add up all the sides to find it.

Step-by-step explanation:

let the width of the rectangle=x

the length=x+2.3

Since perimeter=28.6

We know that perimeter of a rectangle is given by

P=2(l+w)

28.6=2(x+2.3+x)

28.6=2(2x+2.3)

28.6=4x+4.6

28.6-4.6=4x

4x=24

x=24/4=6

Therefore width is 6inches and length is 8.3inches

Answer:

Step-by-step explanation:

Not near enough information to know.

I ASSUME that the pool is surrounded by a walkway of constant width (w = 2 ft, from comments)

The pool shape is important as well. No mention of  the shape

If the pool is circular and the walkway is 3 ft wide

the fence encloses a diameter of 110/π = 35 ft

so the diameter of the pool would be 35 - 2(3) = 29 ft.

POOL IS RECTANGULAR from comments

If the pool is square and the walkway is 2 ft wide, each side of the fence is

110 / 4 = 27.5 ft and the pool would be 27.5 - 2(2) = 23.5 ft on a side.

There are an infinite number of rectangular width and length dimensions and walkway dimensions which would result in a fence length of 110 ft.

Edit from comments

Still an infinite number of rectangular length an width dimensions for a pool with a 2 ft wide walkway around it.

Let's say that we are told the pool is 12 ft wide with 2 ft walkway.

Let L be the pool length

110 = 2(12 + 2(2)) + 2(L + 2(2))

110 = 32 + 2L + 8

70 = 2L

L = 35 ft

[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{x}=\dfrac{6}{9}[/tex]

[tex]\\ \sf{:}\dashrightarrow 6x=36[/tex]

[tex]\\ \sf{:}\dashrightarrow x=6[/tex]

#y

[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{12}{18}[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{2}{3}[/tex]

[tex]\\ \sf{:}\dashrightarrow 3y=24[/tex]

[tex]\\ \sf{:}\dashrightarrow y=8[/tex]

Here we go

And

Answer:

y=1, x=5

Step-by-step explanation:

Since x-5=0 is given already, give the x a value and switch the 5 to the other side x-5=0 ----> x=5

Now we have a value for x, so plug x into the original equation,

4(5)+3y=23,

20+3y=23

Subtract both sides by 20

20-20+3y=23-20

3y=3

dvide both sides by 3

y=1

use the value for x we got earlier

y=1, x=5

Using the exponential function, it is found that the SUV is worth $3,253.36 less than the car after 5 years.

The exponential function for the value of the SUV, after x years, is given by:

[tex]f(x) = 17000(0.87)^x[/tex]

Hence, after 5 years, the value is:

[tex]f(5) = 17000(0.87)^5 = 8473.16[/tex]

From the table, after 5 years, the car is worth $11,726.52.

11726.52 - 8473.16 = 3253.36.

The SUV is worth $3,253.36 less than the car after 5 years.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25983065

Answer:

2x - 10

Step-by-step explanation:

'x' = amount David has

Alexis = 2x - 10

Answer:

Agree

Step-by-step explanation:

Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."

Answer: 90

Step-by-step explanation:

Answer:

5 b^ 3 √ a

Step-by-step explanation:

Break up the radicand up into a product of known factors assuming positive real numbers.

Answer:

Game #1B is the correct answer i guess so

Answer:

graph this equation

y = -2/3x 7/3

Step-by-step explanation:

y-5=-2/3(x--4)

y-5 = -2/3x - 8/3

y = -2/3x 7/3

Answer:

84

Step-by-step explanation:

Total episodes to watch = (100 - 30)% = 70%

Finding 70% of 120

70/100 × 120

7 × 12

84

Answer:

Step-by-step explanation:

Area of the room is 12.5(14) = 175 ft²

2x2 tiles are 4 ft²

175 /4 = 43.75 tiles so 44 will be needed

44($0.79) = $34.76

3x3 tiles are 9ft²

175/9 = 19.4444... so 20 will be needed

20($1.25) = $25.00

the larger tiles will cost $9.24 less than the smaller tiles.

Obviously some of the tiles will need to be cut to fit as the length and width of the room are not always a uniform number of tiles for either side.

Answer:

-3

Step-by-step explanation:

To solve you replace the -z with 2 because the -2=z not -z. With the z in parenthesis being negative it basically means invers so you would put the invers or opposite of -2 in the parentheses.

-1-(2)

-1+-2

=-3

The value of the expression -1 - (-z) where z = -2 is -3.

To evaluate the expression -1 - (-z) where z = -2, follow these steps:

Replace z with -2 in the expression:

= -1 - (-(-2))

Simplify the double negative:

= -1 - (2)

Perform the subtraction:

= -3

So, the value of the expression -1 - (-z) where z = -2 is -3.

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Answer:

A binomial is an algebraic expression that has two non zero terms .eg. b¾+c/3 is a binomial in two variables b and c .

A polynomial is an expression that consists of variables (or indeterminate) terms , exponents and constants eg, 3x (SQUARED) minus 2xminus 10 is a polynomial.

Answer:

hi

Step-by-step explanation:

1+1=2

Answer:

1/10

Step-by-step explanation:

10/100

Dividing both sides by 10

10 ÷ 10/100 ÷ 10

1/10

Hence,

10/100 is equivalent to 1/10

Answer:

Decimal: 0.1  (One tenth)

Fraction: 1/10

Percentage: 10%

Step-by-step explanation:

The decimal would be equivalent when it is turned into a fraction 1/10 which is equivalent to 10/100.

I Hope this Helps

Answer:

Real Numbers are numerical values that can represent distance on a line. An example of it being one is 15 and an example of it NOT being one is ∞.

If John is the divider then $5 is the consistent value with his share system.

The essential concept is that an object is divided into pieces by a divider. The remaining participants, referred to as choosers, make bids on the pieces they believe represent fair portions. Each chooser receives the portion that, in their opinion, represents a fair share, with the remaining portion going to the divider.

Given that the bag contains 100 Snickers, 100 Milky ways and 100 Reese's which john values at $1 , $4 and $5 respectively.

That means 1 Snicker, 1 Milky way and 1 Reese's for $0.01 , $0.04 and $0.05 respectively.

Suppose, John splits a bag of candy

a) first half : 50 Snickers, 50 Milky ways and 50 Reese's

b) second half :  50 Snickers, 50 Milky ways and 50 Reese's

The value of both of the half in John's terms ;

50 (0.01) + 50 (0.04) + 50 (0.05) = 0.5 + 2 + 2.5 = 5

Therefore, if John is the divider then $5 is the consistent value with his share system.

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Answer: equation: y = 2.5x + 46

slope: 2.5

y intercept: 46

she will be 8 months old by the time she is 66 cm

Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.

y = 2.5x + 46

66 = 2.5x + 46

20 = 2.5x

8 = x