The expression is now simplified to 3−6i+5i. What is the a+bi form? Type in your final solution in a+bi form, like this: 4+2i Algebra 2

Answer:

G(×)=2(2)^×.Q

Step-by-step explanation:

As per the function, they have different y-intercepts and different end behavior.

To compare with function f, we need to analyze its y-intercept and end behavior. If the y-intercept and end behavior of both functions are the same, the answer would be D. However, if they differ in either the y-intercept or the end behavior, the answer would be either A, B, or C.

The functions f and g have different y-intercepts since the y-intercept of g is 2, whereas the y-intercept of f would be the value of f(0) based on its graph. Additionally, they have different end behavior since function g approaches positive infinity as x increases, while function f appears to approach a horizontal asymptote.

Answer: C. They have different y-intercepts and different end behavior.

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Answer:

Step-by-step explanation:

each gallon 15% alcohol

and 5% alcohol

*is this question correct?

Answer:

Step-by-step explanation:

Let x = Gallons of 15% alcohol

   y = gallons of 5% alcohol

x + y = 10 gallons

y = 10 - x

15% of x + 5% of y = 14% of 10 gallons

0.15x + 0.05y = 0.14 * 10

0.15x + 0.05 * ( 10 - x) = 1.4

0.15x + 0.05*10  - x * 0.05 = 1.4

0.15x  + 0.5 - 0.05x = 1.4  

Add like terms

0.10x + 0.5 = 1.4

Subtract 0.5 from both sides

0.10x = 1.4 - 0.5

0.10x = 0.9

Divide both sides by 0.10

x = 0.9/0.1

x = 9

x = 9 gallons

y = 1 gallons

Answer:

8/5x + 5 = -19

8/5x = -24 (Subtract 5)

x = -15 (Multiply by 5/8)

Answer:

1) [tex]\boxed{x > 5}[/tex]

2) [tex]\boxed{x \geq -12}[/tex]

3) [tex]\boxed{x \leq -2}[/tex]

4) [tex]\boxed{x > 15}[/tex]

5) [tex]\boxed{x < -8}[/tex]

6) [tex]\boxed{x \geq -19}[/tex]

7) [tex]\boxed{x \geq 2}[/tex]

8) [tex]\boxed{x > 9}[/tex]

9) [tex]\boxed{ x \leq - 4}[/tex]

10) [tex]\boxed{x < 7}[/tex]

Step-by-step explanation:

1) [tex]2x-7 > 3[/tex]

Adding 7 to both sides

=> 2x > 3+7

=> 2x > 10

Dividing both sides by 2

=> x > 5

2) [tex]\frac{x}{4} + 11 \geq 8[/tex]

Subtracting 11 to both sides

[tex]\frac{x}{4} \geq 8 -11\\\frac{x}{4}\geq -3[/tex]

Multiplying both sides by 4

x ≥ -3 * 4

x ≥ -12

3) -6x+7 ≥ 19

Subtracting 19 to both sides

=> -6x ≥ 19-7

=> -6x ≥ 12

Dividing both sides by -6

=> x ≤ -2

4) -10 + 4x > 50

Adding 10 to b.s

=> 4x > 50+10

=> 4x > 60

Dividing b.s by 4

=> x > 15

5) [tex]\frac{x}{-2} - 17 > -13[/tex]

[tex]\frac{x}{-2} - 17 > -13\\Adding \ 17 \ to \ both \ sides\\\\\frac{x}{-2} > -13+17\\\\\frac{x}{-2} > 4\\Multiplying both sides by -2[/tex]

=> x < 4*-2

=> x < -8

6) 8 - 2x ≤ 46

Subtracting 8 from b.s

=> -2x ≤ 46-8

=> -2x ≤ 38

Dividing b.s by -2

=> x ≥ -19

7) -13x+1 ≤ -25

Subtracting 1 from both sides

=> -13x ≤ -25-1

=> -13x ≤ -26

Dividing both sides by -13

=> x ≥ 2

8) [tex]-7 + \frac{x}{3} > -4[/tex]

Adding 7 to b.s

=> x/3 > -4+7

=> x/3 > 3

Multiplying 3 to b.s

=> x > 3*3

=> x > 9

9) -9x-19 ≥ 17

Adding 19 to both sides

=> -9x ≥ 17+19

=> -9x ≥ 36

Dividing both sides by -9

=> x ≤ -4

10) 16 - x > 9

Adding x to both sides

=> 16 > 9 + x

Subtracting 9 from both sides

=> 16 - 9 > x

=> 7 > x

OR

=> x < 7

NOTE: Whenever, we divide the inequality by a negative signed term, the inequality changes to its opposite.

Answers:

[tex]\boxed{x > 5}\\ \boxed{x \geq -12}\\\boxed{x \leq -2}\\\boxed{x > 15}\\\boxed{x < -8}\\\boxed{x \geq -19}\\ \boxed{x \geq 2}\\\boxed{x > 9}\\\boxed{ x \leq -4}\\ \boxed{x < 7}[/tex]

Step-by-step explanation:

2x - 7 > 3

2x > 10

x > 5

x/4 + 11 ≥ 8

x/4 ≥ -3

x ≥ -12

-6x + 7 ≥ 19

-6x ≥ 12

x ≤ -2

-10 + 4x > 50

4x > 60

x > 15

-x/2 - 17 > -13

-x/2 > 4

-x > 8

x < -8

8 - 2x ≤ 46

-2x ≤ 38

x ≥ -19

-13x + 1 ≤ -25

-13x ≤ -26

x ≥ 2

-7 + x/3 > -4

x/3 > 3

x > 9

-9x -19 ≥ 17

-9x ≥ 36

x ≤ -4

16 - x > 9

-x > -7

x < 7

Hey there! :)

Answer:

[tex]g^{-1} (g(10))=10[/tex]

Step-by-step explanation:

Begin by calculating g(10):

g(x) = 3x - 6

Substitute in 10 for x:

g(10) = 3(10) - 6

g(10) = 30-6

g(10) = 24.

Plug '24' into 'x' into [tex]g^{-1} (x)[/tex]

[tex]g^{-1} (24)=\frac{(24) + 6}{3}[/tex]

Simplify:

[tex]g^{-1} (24)=\frac{30}{3}[/tex]

[tex]g^{-1} (24)=10[/tex]

Answer:

x = √3

y = 1

Step-by-step explanation:

The side x, the hypotenuse 2 and the 60 degree angle are related as follows:

                                 x

sin 60 degrees = ----------

                                  2

and so side x is equal to  2 sin 60 degrees, or 2( (√3)/2), or √3.

By the Pythagorean Theorem, x^2 + y^2 = 2^2, or

                                                     3   + y^2 = 4, and so

                                                              y^2 = 1

so side y has length 1

x = √3

y = 1

Answer:

translation

Step-by-step explanation:

Answer:

1.  perim is 43.2

2. where are the blanks? dont see any

Step-by-step explanation:

Answer:

Median = 13

Step-by-step explanation:

Arranging it in ascending order:

=> 2,4,6,10,13,13,14,16,20

Median is the middlemost no.

So,

=> Median = 13

Answer:

The required graph is shown below.

Step-by-step explanation:

The given equation is

[tex]4x-3y=12[/tex]

To draw the graph we need at least two points which satisfy the given equation.

At x=0,

[tex]4(0)-3y=12[/tex]

[tex]-3y=12[/tex]

[tex]y=\dfrac{12}{-3}[/tex]

[tex]y=-4[/tex]

At y=0,

[tex]4x-3(0)=12[/tex]

[tex]4x=12[/tex]

[tex]x=3[/tex]

So, (0,-4) and (3,0) are two solutions of the given equation. Plot these two points on the coordinate plane and connect them by a straight line.

The required graph is shown below.

I'm sorry it took this lobg

Answer: AB= 24 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case CB ) and a and b are the other sides.  

Replacing with the values given:  

CB^2 = CA^2 + AB^2  

25^2 = 7^2 + x^2  

Where x is the value that we are searching for..

625= 49 + x^2

625 -49 = x^2

576 = x^2

√576 = x

24 = x

So, AB= 24 ft  

Feel free to ask for more if needed or if you did not understand something.  

oof I'm wrong he's right I thought is said do idea numerator by denominator sowwy

Answer:

false; you divide the NUMERATOR by the denominator.

we also need the vertical distance between the original spot and the ground to solve this,

Answer:

tan 35° = \frac{4m}{r}

Step-by-step explanation:

Tan is the length of the opposite leg over the length of the adjacent length and for angle 35 4 was the length of the opposite leg and r was the length of the adjacent leg

Answer:

I believe it is 12

I'm not 100% sure but if its right let me know

Sry if its not :/

Answer:

14/15

Step-by-step explanation:

-4/5 × -7/6

Multiply numerator with numerator and denominator with denominator.

(-4×-7)/(5×6)

28/30

Simplify.

14/15

Answer:

[tex] \frac{14}{15} [/tex]

solution,

[tex] \frac{ - 4}{5} \times \frac{ - 7}{6} \\ = \frac{ - 4 \times ( - 7)}{5 \times 6} \\ = \frac{28}{30} [/tex]

divide 28 and 30 by 2 ,you will get:

[tex] \frac{14}{15} [/tex]

hope this helps..

Good luck on your assignment..

Answer:

15

Step-by-step explanation:

In order to find the the value of x, first we need to calculate the length of the perpendicular dropped from the right angle to the hypotenuse of the given triangle.

Therefore, by geometric mean property, we have:

[tex]l(perpendicular) \\ = \sqrt{9 \times (25 - 9)} \\ = \sqrt{9 \times 16} \\ = \sqrt{144} \\ l(perpendicular) = 12 \: units \\ \\ Now \: by \: Pythagoras \: Theorem:\\ {x}^{2} = {9}^{2} + {12}^{2} \\ {x}^{2} = 81 + 144 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]

Answer:

Hello!

~~~~~~~~~~~~~~~

3^x+x³=17

=  x = 2

Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.

Hope this helped you! Brainliest would be nice! ❤︎

Answer:

Given that,

Slope of line A=2/5

We know that , slope of perpendicular line is product of slopes.

i.e. M1 • M2=-1

[tex] m1 = \frac{2}{5} \: \: [/tex]

m2=?

Now,

[tex] \frac{2}{5} \times m2 = - 1 \\ or \: m2 = - 1 \times \frac{5}{2} \\ \: m2 = - \frac{ 5}{2} [/tex]

Therefore, Slope of line B is -5/2.

Hope this helps..

Good luck on your assignment..

Answer: B

Step-by-step explanation:

(4/3) x 3.14 x 3.7^3

Plug into a calculator

212.067

Brainliest would be appericiated!

Answer:

No

Step-by-step explanation:

Answer:

50n

Step-by-step explanation:

This problem can be solved using concept of Arithmetic progression(AP)

In AP series

the series increases or decreases by certain number which is called common difference.

common difference d is given by

d= nth term - (n-1)th term

nth term = a + (n-1)d

where a is the first term of the series

thus series can be a , a+d, a+2d, a+3d, a+4d, ...........a + (n-1)d

_______________________________________

Given series

50, 100, 150, 200

a = 50

to find d lets use 3rd term as nth term and 2nd term as (n-1)th term

d = 150 -100 = 50

Thus,

nth term = 50 + 50(n-1) = 50 + 50n -50 = 50n

50n can represent the position of the term of the sequence.

To validate this lets put n = 4

50*4 = 200 which is the same as the fourth term given in the series.

hence our solution is correct.

Answer:

f^-1(x) is - (x -3)/15

Step-by-step explanation:

f(x) = -15x + 3

To find f^-1(x) equate f(x) to y

That's

y = f(x)

Which is

y = -15x + 3

Next interchange the terms x becomes y and y becomes x

That's

x = - 15y + 3

Make y the subject

We have

-15y = x - 3

Divide both sides by - 15

We get

y = x-3/-15

y = - x - 3/15

Therefore f^-1(x) is - (x -3)/15

Hope this helps you

Answer:

64

Step-by-step explanation:

4/7

16x7= 112

4x16=64

Answer:

[tex]S=6600\pi \text{ mm}^2[/tex]

[tex]S\approx 20724 \text{ mm}^2[/tex]

Step-by-step explanation:

A can of fruit is geometrically a cylinder.

We are talking about the surface area of a cylinder:

[tex]S=2\pi rh+2\pi r^2[/tex]

[tex]\pi \approx 3.14[/tex]

[tex]r: \text{radius}[/tex]

[tex]h: \text{height}[/tex]

Factoring, we have:

[tex]S=2\pi r (h+r)[/tex]

Calculating the surface area of the can of fruit:

[tex]S=2\pi (30) (80+30)[/tex]

[tex]S=2\pi (30) (110)[/tex]

[tex]S=6600\pi[/tex]

[tex]S\approx 20724 \text{ mm}^2[/tex]

Answer:

27/30 18/20

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

A = [tex]\frac{pq}{2}[/tex]

p = 7

q = 5

7 x 5 = 35

35 ÷ 2 = 17.5

Answer:

The correct answer is 70 square units I took the test and got it right! Good luck! God bless you!

Step-by-step explanation:

Answer: 1.5cm

Step-by-step explanation:

12-9=3 because it is midpoint 3/2=1.5

Answer:

B.) False

Step-by-step explanation:

A regular tessellation is a pattern made by repeating a regular polygon. But in this image, it is a demiregular tessellations. Demiregular tessellations are a set of tessellations made from 2 or more regular polygon faces.

Hope this helps you out! : )

The given illustration is not example of a regular tessellation due to overlapping of polygons which is option(B) false.

A regular tessellation is defined as consist of a repeating pattern of one or more regular polygon. There are a few qualifications for a pattern to be a tessellation. These include:

Regular polygon cannot overlap.

Regular polygon cannot have space between them.

The patterns are created by rotating, translating, or reflecting the shapes.

Hence, the given illustration is not example of a regular tessellation due to overlapping of polygons.

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