Find the Product: (x+9i)^2

Answer:

x = -3

Step-by-step explanation:

-5x + 32 = 47

-5x + 32 - 32 = 47 - 32

-5x = 15

-5x / -5 = 15 / -5

x = -3

Answer:

[tex]\Huge \boxed{x=-3}[/tex]

Step-by-step explanation:

[tex]\sf -5x + 32 = 47[/tex]

Subtract 32 from both sides.

[tex]\sf -5x + 32-32 = 47-32[/tex]

[tex]\sf -5x=15[/tex]

Divide both sides by -5.

[tex]\sf \displaystyle \frac{-5x}{-5} =\frac{15}{-5}[/tex]

[tex]\sf x=-3[/tex]

Answer:

It took 11.04 hours  by Stephanie.

Step-by-step explanation:

Concept

distance = speed*time

time = distance/time

_________________________________

Given

for Steven

time  = 10 hours

speed = 53 miles per hour

Distance for steven = 53*10 = 530 miles

_____________________________________

Now ,

as Stephanie also traveled the same distance as steven

Distance = 530 miles

speed = 48 miles per hour

time = 530/48 hour = 11.04 hours

Thus, It took 11.04 hours  by Stephanie.

In other way

since distance traveled by Steven and Stephanie are same

let time taken by Stephanie be x hours

Distance traveled by steven = Distance traveled by Stephanie

53*10 = 48*x

x = 530/48 = 11.04 hours

equation = 53*10 = 48*x

Answer:

35%

Step-by-step explanation:

There are 20 sqaures, 7 of them are not shaded, 7/20=35%

Answer:

170

Step-by-step explanation:

The amount of profit Rodney made when he sold 200 bags of popcorn is given by A = $ 100

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the equation is

Let the amount for renting the machine be = $ 70

The amount per bag for packing popcorn = $ 0.15 per bag

The sale price of the popcorn per bag = $ 1.00

And ,

The total number of bags sold by Rodney = 200 bags

So , the total profit made by Rodney A is calculated from the equation ,

Total amount made by Rodney = total number of bags sold by Rodney x sale price of the popcorn per bag

Substituting the values in the equation , we get

Total amount made by Rodney = 200 x 1

Total amount made by Rodney = $ 200

Now , the cost per bag is deducted from the total amount made by Rodney

So ,

Total amount made by Rodney after deduction of bag cost = ( Total amount made by Rodney - amount per bag for packing popcorn x 200 )

Substituting the values in the equation , we get

Total amount made by Rodney after deduction of bag cost =

= 200 - ( 0.15 x 200 )

= 200 - 30

= $ 170

Now , the cost of renting the machine should also be deducted from the remaining amount to calculate the profit earned by Rodney

So , The profit earned by Rodney A = 170 - amount for renting the machine

The profit earned by Rodney A = $ 170 - $ 70

The profit earned by Rodney A = $ 100

Therefore , the value of A is $ 100

Hence , The amount of profit Rodney made when he sold 200 bags of popcorn is given by A = $ 100

To learn more about equations click :

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Answer:

-7 is in our domain.

0 is in our domain

7 is not in our domain.

Step-by-step explanation:

So we have the rational function:

[tex]f(x)=\frac{x}{x-7}[/tex]

The domain restrictions of rational functions are the zeros of the denominator.  In other words, the domain of rational functions are always all real numbers except for the zeros of the denominator.

So, solve for the denominator by setting it to 0:

[tex]x-7=0[/tex]

Add 7 to both sides:

[tex]x=7[/tex]

So, our domain is all real numbers except for 7.

(When x=7, we have 7/0, which is undefined.)

Therefore:

-7 is in our domain.

0 is in our domain

7 is not in our domain.

Answer:

the picture has it all!

whatever equals zero is not the domain and whatever doesnt equal zero is the domain!

hope i helped :)

Answer:

Actual distance between the 2 priers = 90 MI

Step-by-step explanation:

Ratio of Scaled drawing to actual dimension = 2 : 15

2 cm represents 15MI

2cm ≡ 15 MI

∴ 1 cm ≡ (15/2) MI

1 cm ≡ 7.5 MI

scaled distance of priers in drawing = 12cm

∴ 12 cm ≡ 7.5 × 12

= 90 MI

∴ Actual distance between the 2 priers = 90 MI

Answer:

#1 : -2=n

#2: x=-3

#3: v=8

Step-by-step explanation:

the pictures are the explination

i hope they help

sorry if they dont

im a bad explainer

Answer:

6/x^2

Step-by-step explanation:

Simplify the following:

2/x^2 + 4/x^2

2/x^2 + 4/x^2 = (2 + 4)/x^2:

(2 + 4)/x^2

2 + 4 = 6:

Answer: 6/x^2

Answer:

6/x²

Step-by-step explanation:

[tex]\frac{2}{x^{2} } + \frac{4}{x^{2} } \\\\[/tex]

= (2+4) / x²

= 6/x²

Answer:

B,D,F

Step-by-step explanation:

I got it correct on edge

Answer:

w=-9

Step-by-step explanation:

14-9=5, but this is addition, so you must do a negitive

-9+14=5

Answer:

Step-by-step explanation:

The formula for finding the distance between two points is expressed as shown

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate (17,3) and (17,−5), from the coordinates x₁ = 17, y₁ = 3, x₂ = 17 and y₂ = -5.Substituting the values given into the formula;

D = √(17-17)²+(-5-3)²

D = √0²+(-8)²

D = √64

D = 8

According to the result gotten, it can concluded that Marcia is correct although she didn't use the right expression to calculate her distance. She should have taken the square root of the sum of the square of difference in the coordinates axis according to the formula used.

Answer:

Yjtccjtchtcychy

Step-by-step explanation:

Answer:

10^3×10^3

is 100000000 which is 10^7 in index form.

Answer: $ 2800

Step-by-step explanation:

2400 is 96% of the initial price of camera which is 2400/0.96 =$2500

Now to gain 12% profit the camera should be sold at 2500+ .12*2500=$2800

Answer:

3.009

Step-by-step explanation:

1 Kg is 1000 grams therefore

3 kg 9 g is

3.009

hope this helps you

Answer:

the full solution is in the picture

d= -3

n= -2

x= -32

Answer:

3x +2 +X = X+5

4x + 2 = X + 5

3x = 3

X = 1

Step-by-step explanation:

brain list me plzzz I need it

x = 1

3x + 2 + x = x + 5

3x + x - x = 5 - 2

3x = 3

x = 3 : 3

x = 1

Answer:

number of tiles needed = 2500 pieces

Step-by-step explanation:

Floor area = 5m x 20m = 100 m²

area of 1 square tile = 20cm x 20cm = 400 cm² ---- convert to m²

400 cm² x [tex]\frac{1 m^{2} }{100^2 cm^2}[/tex] = 0.04 m²

To get the number of tiles required to cover the floor area 5x20 = 100 m²

just divide it by the area of tile.

so Number of tile req'd = 100 / 0.04 = 2500

therefore,

the number of tiles needed = 2500 pieces

Answer:

See below.

Step-by-step explanation:

So we have the graph of:

[tex]x^2+y^2=8[/tex]

As given, the graph is a circle with a radius of 2√2 and a center of (0,0)

Part 1)

The domain of a function is the span of x-values it covers and the range of a function is the span of y-values it covers.

From the graph, we can see that the x-values the graph covers goes from -2√2  to +2√2. The graph includes these values.

Thus, the domain is, in interval notation:

[tex][-2\sqrt2,2\sqrt2][/tex]

From the graph, we can see that the y-values the graph covers also goes from -2√2 to 2√2.

Therefore, like the domain, the range in interval notation is:

[tex][-2\sqrt2,2\sqrt2][/tex]

Part 2:

First of all, we can use the vertical line test to prove that the graph is indeed not a function.

Algebraically, we have to do some more.

First, recall what it means when an equation is not a function. It means that one x maps onto two or more ys.

In other words, to prove that the equation is not a function, we can substitute an x for a value and solve for y.

For instance, let's use 0 for x (and 0 is within the domain). Thus:

[tex]x^2+y^2=8\\(0)^2+y^2=8[/tex]

Simplify:

[tex]y^2=8[/tex]

Take the square root of both sides:

[tex]y=\pm\sqrt8\\y=\pm2\sqrt2[/tex]

In other words, when x is 0, y can be either -2√2 or 2√2. So we have two different y-values with the same x-coordinate.

[tex](0,-2\sqrt2)(0,2\sqrt2)[/tex]

Therefore, the equation is not a function.

Answer: Choice C) Star shaped symbol

We can rotate the star symbol 90 degrees to have it line up with its original image. The before and after images would be identical after doing such a rotation. So this figure has rotational symmetry.

The other figures would change if we rotated them some angle x such that [tex]0 < x < 360[/tex], so they do not have rotational symmetry.

Answer:

Dimensions of the rug = 13 ft × 26 ft

Step-by-step explanation:

Dimensions of the room = 21 ft × 34 ft

Area of the room = 21 × 34 = 714 ft²

Cynthia wants to leave a uniform strip of floor around the rug.

Let the width of the rug = x ft

Then the dimensions of the rug will be = (21- 2x)ft × (34 - 2x)ft

Area of the rug = (21 - 2x)×(34 - 2x) square feet

338 = (21 - 2x)×(34 - 2x)

338 = 714 - 68x - 42x + 4x²

4x² - 110x + 714 - 338 = 0

4x² - 110x + 376 = 0

2x² - 55x + 188 = 0

2x² - 47x - 8x + 188 = 0

x(2x - 47) - 8(x - 47) = 0  

(x - 4)(2x - 47) = 0

x = 4, [tex]\frac{47}{2}[/tex]

For x = 23.5 area of the rug will be negative.

Therefore, x = 4 ft will be the width of the rug.

Dimensions of the rug will be 13 ft × 26 ft. 

Answer: 2x -5 less than or equal to 124

Answer:

b = 6

I hope this helps!

Answer: (-3,7)

Step-by-step explanation:

Flip the signs

Answer:

slope: (y₂ - y₁) / (x₂ - x₁)

(5 - 2) / (-1 - 1) = 3/-2 = -3/2

y = -3/2x + b

5 = -3/2(-1) + b

5 = 3/2 + b

b = 3.5

y = -3/2x - 7/2

(5.83 - 1.42) / (4.22 + 0.72) = 4.41/4.94

y = 4.41/4.94x + b

5.83 = (4.41/4.94)(4.22) + b

5.83 = 3.76724696 + b

b = 2.06275304

y = 4.41/4.94x + 2.06

(the numbers are really wacky so i hope thats right, so sorry if it isn't)

Answer:

Answer:-4e-9

[tex]3e - 19 - 7e + 10[/tex]

Start by combining like terms. I put like terms in parentheses so you can see them, but they are not needed.

[tex] = (3e - 7e) + ( - 19 + 10)[/tex]

[tex] = - 4e - 9[/tex]

That's it.

Answer: d. 4, 4.53%

Step-by-step explanation:

Given table :

Number of Children                 Frequency

0                                                      325  

1                                                       212

2                                                       660

3                                                       151

4                                                       68  ← Least frequency

5 or more                                         84

Total                                 =            1500

or Sample size of couples = 1500

The number of children occurred the least frequently = 4 [Minimum frequency is 68 at number of children=4]

Percentage =[tex]\dfrac{least\ frequency}{Total}\times100[/tex]

[tex]\dfrac{68}{1500}\times100=4.53\%[/tex]

Hence, the correct answer is d. 4, 4.53%

Answer:

The elevator is now on the 2nd floor.

Step-by-step explanation:

15 - 18 = -3

-3 + 5 = 2

Answer:2nd floor

Step-by-step explanation:

since the elevator is on the 15th floor and you go down 18 that’s equals negative 3 then you go back up 5 floors and you add 5 to negative 3 which leaves you with the 2nd floor

The product of sin 30 and sin 60 is same as the product of cos 60 degrees tan 30 degrees and cos 30 degrees tan 60 degrees .

The product of sin 30° and sin 60° is same as the product of cos 60° and cos 30°.

From the complementary angle theorem, we have that

sinθ = cos (90° - θ)

and

cosθ = sin (90° - θ)

By applying the theorem,

sin 30° = cos (90° - 30°)

∴ sin 30° = cos 60°

Also,

sin 60° = cos (90° - 60°)

∴ sin 60° = cos 30°

Thus, sin 30° = cos 60° and sin 60° = cos 30°

Hence, the product of sin 30° and sin 60° is same as the product of cos 60° and cos 30°.

Learn more on Sine and cosine of complementary angles here: https://brainly.com/question/16127404

Answer:

24m

Step-by-step explanation:

factor the equation to get 6x4m which gets you 24m

Answer: option 3. 24m

Step-by-step explanation:

concept to know: (a+b)²=a²+2ab+b²  

                             (a-b)²=a²-2ab+b²

 (2m+3)²-(2m-3)²

=(4m²+12m+9)-(4m²-12m+9) ⇔ Use the formula mentioned above

=4m²+12m+9-4m²+12m-9 ⇔ take off parentheses

=4m²-4m²+12m+12m+9-9 ⇔ move the like term together

=24m ⇔ combine like term

Hope this helps!! :)

Please let me know if you have any question