PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

(5 - 3i)(6 + 2i)


Multiply and simplify.

Answer:

The graph is translated three units down.

Step-by-step explanation:

We know that, a 'Translation' is an transformation where the figure or graph is shifted in any direction.

According to our question (x,y) becomes (x, y-3) , this means that the graph value of 'x' co-ordinate remains same and the value of 'y' co-ordinate is decreased by 3 units.

So, the graph is shifted three units downwards i.e. it is translated three units down.

[tex]x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{The domain:} x\neq-4\ and\ x\neq1\\\\canceled\ (x+4)\\\\f(x)=\dfrac{x+3}{-(x-1)}=-\dfrac{x+3}{x-1}\ for\ x\neq-4\ and\ x=1[/tex]

Answer: 63 miles per hour (mph)

6 hours + 45 minutes = 6 hrs + 0.75 hrs = 6.75 hrs

Divide the distance (425 miles) over the time (6.75 hours) to get the speed. You must convert the time value to a single unit rather than a mixed unit of hours and minutes. So we get 425/6.75 = 62.96926 which rounds to 63

Answer:

18 minutes

Step-by-step explanation:

To do this, you need to divide 12 by the two thirds to find out how many 2/3 there are in 12, giving the amount of minutes it takes:

12 ÷ 2/3 = 18

So it would take him 18 minutes!

Answer:

After 33 weeks.

Step-by-step explanation:

Let w be number of weeks.

We have been given that Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. So the balance after w weeks will be 20w+40.

To figure out number of weeks Gina will have exactly $700 in her account, we will equate the balance after w weeks to 700.

[tex]20w+40=700[/tex]

Let us subtract 40 from both sides of equation.

[tex]20w+40-40=700-40[/tex]

[tex]20w=660[/tex]

Upon Dividing both sides of our equation by 20 we will get,

[tex]\frac{20w}{20}=\frac{660}{20}[/tex]

[tex]w=\frac{660}{20}[/tex]

[tex]w=33[/tex]

Therefore, after 33 weeks Gina will have exactly $700 in her account, excluding interest.

Answer:

C) 1.4

Step-by-step explanation:

The probability of choosing 2 good ones is 7/10·6/9 = 42/90.

The probability of choosing 1 good one is 7/10·3/9 +3/10·7/9 = 42/90.

The probability of choosing 0 good ones is 3/10·2/9 = 6/90

The expected value is the sum of the product of number of good ones and their probability:

... 2·42/90 +1·42/90 +0·6/90 = (2+1)·42/90 = 42/30 = 1.4

Answer:

4. 8.8 years

5. 8.6 meters

Step-by-step explanation:

4. The process of solving the equation f(x) = g(x) gives rise to a 4th-degree equation. Those are best solved using some sort of machine solver. A graphing calculator is often a good place to start. If you're going to do that anyway, you may as well start with a graphical solution to the question.

A plot of the two curves finds they intersect at about x = 8.8. (See the first attachment.) This avoids the extraneous solutions introduced by the process of eliminating the radical.

___

5. Analytical solution is simpler here, but the graphing calculator is faster yet. It shows the two rocks are at the same height at 8.6 meters (if they're launched at the same time).

... f(x) = g(x)

... -4.9x^2 +17 = -4.9x^2 +13x

... 17 = 13x . . . . . add 4.9x^2

... 17/13 = x . . . . time when rocks meet

... f(17/13) = -4.9(17/13)^2 +17 = -1416.1/169 +17 ≈ 8.62071

... f(17/13) ≈ 8.6 . . . . height at which rocks meet

Answer:

C. Tiffany, born in 1973 in Nebraska, has lived in the U.S. for 45 years

Step-by-step explanation:

its right bro

Answer:

Equation for the quadratic model for the data set is;

[tex]y = 1.0774x^2-0.9393x+0.6905[/tex]

Step-by-step explanation:

A Quadratic regression is the process of finding the equation of the parabola that best fits the set of data.

An equation is in the form of: [tex]y=ax^2+bx+c[/tex] where a≠0.

You just enter the x-coordinates and y-coordinates in your graphing calculator and

then do a quadratic regression.

The equation of the parabola that best approximates the points is

:

[tex]y = 1.0774x^2-0.9393x+0.6905[/tex]

Now, plot the graph of the above equation as shown below in the figure.

Also you can see that the [tex]R^2[/tex] value for the above data is, 0.994

Answer:

11x+8 cm = Perimeter

Step-by-step explanation:

A triangle has 3 sides.  We add up all three sides to get the perimeter.

s1+s2+s3 = Perimeter

(x+4) +( 3x+1) + (7x+3) = Perimeter

Combine like terms

11x+8 = Perimeter

Answer:

P = 11x + 8 cm

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of the three sides.

... P = s1 + s2 + s3

... P = (x +4 cm) +(3x +1 cm) +(7x +3 cm) . . . . substitute for s1, s2, s3

... P = x(1 +3 +7) + cm(4 + 1 + 3) . . . . . . collect terms

... P = 11x + 8 cm

Answer: P = 4w + 4

Step-by-step explanation:

width (w) = w

length (L) = w + 2  (2 more than its width)

Perimeter (P) = 2L + 2w

P = 2L + 2w

  = 2(w + 2) + 2(w)

  = 2w + 4   +  2w

  = 4w + 4

Answer:

axis of symmetry   x=3/2

vertex  (3/2, 0)

Step-by-step explanation:

to find the axis of symmetry we use h = -b/2a

where ax^2 + bx+c

h = -(-12)/2(4)

h= 12/8

h = 3/2

the axis of symmetry is x = 3/2

the x coordinate of the vertex is h x=3/2

to find k, the y coordinate of the vertex, substitute x=3/2 into the equation

y=4x^2-12x+9

y=4(3/2) ^2-12(3/2)+9

 = 4 (9/4)  - 6*3 +9

  = 9-18+9

  = 0

the vertex (3/2, 0)

Speed is the rate of change of distance over time.

It will take [tex]\mathbf{2.20 \times 10^{2}}[/tex] minutes to get to Pluto.

The given parameters are:

[tex]\mathbf{Speed = 1.17 \times 10^7 miles/mins}[/tex]

[tex]\mathbf{Distance = 3670000000 miles}[/tex]

Speed is calculated as:

[tex]\mathbf{Speed = \frac{Distance}{Time}}[/tex]

Make Time the subject

[tex]\mathbf{Time = \frac{Distance}{Speed}}[/tex]

Substitute values for Speed and Distance

[tex]\mathbf{Time = \frac{3670000000\ miles}{1.17 \times 10^7 miles/mins}}[/tex]

[tex]\mathbf{Time = \frac{3670000000\ mins}{1.17 \times 10^7 }}[/tex]

Rewrite as:

[tex]\mathbf{Time = \frac{3.67\times 10^9\ mins}{1.17 \times 10^7 }}[/tex]

Apply law of indices

[tex]\mathbf{Time = \frac{3.67\times 10^{9 - 7}\ mins}{1.17}}[/tex]

Divide

[tex]\mathbf{Time = 2.20 \times 10^{2}\ mins}[/tex]

Hence, it will take [tex]\mathbf{2.20 \times 10^{2}}[/tex] minutes to get to Pluto.

Read more about speed and rates at:

https://brainly.com/question/359790

Answer:

The answer is C)

Step-by-step explanation:

In order to fully solve a system of equations, you need both variables, x And y. Therefore he has to go back and solve for x

Answer:

2) ∠SDH and ∠SDT are right angles because SD ⊥ HT.

3) [tex]\bar{SH}\cong \bar{ST}[/tex] as it is given in the question.

4) [tex]\bar{SD}\cong \bar{SD}[/tex]  is the reflexive property.

5) ΔSHD ≅ ΔSTD by RHS congruency.

Step-by-step explanation:

Given in the question:

[tex]\bar{SH}\cong \bar{ST}\\\bar{SD}\perp \bar{HT}[/tex]

In ΔSHD and ΔSTD

[tex]\bar{SH}\cong \bar{ST}[/tex]   (Given)

[tex]\angle SDH\cong \angle SDT=90^o[/tex]    (SD ⊥ HT)

[tex]\bar{SD}\cong \bar{SD}[/tex] (Common)

Therefore, [tex]\Delta SHD\cong \Delta STD[/tex]   (By RHS rule)

Reflexive property of congruency is defined as the property in which something is equal to itself. Hence, the reflexive property of these two triangles is [tex]\bar{SD}\cong \bar{SD}[/tex]

Answer:

-24-36x-5x

-24-41x

or -41x-24

Step-by-step explanation:

Answer:

1. [tex]\sqrt[3]{4^2}[/tex]

2. Answer A

Step-by-step explanation:

1. A fraction exponent can be represented using a radical. The base number is the number in the radical. The numerator of the fraction is the exponent inside the radical. The denominator is the type of radical.

[tex]4^{\frac{2}{3} }[/tex]

[tex]\sqrt[3]{4^2}[/tex]

2. An exponential always crosses at (0,1) This function crosses at (0.6) meaning it has shifted up 5 units or +5. These means only answer options A and D are possible solutions. Also, since the graph starts high and ends low and leveling out, this means the base is less than 1. Only 3/4 is less than 1. Answer A is the solution.

Answer:

(–6, –4)

Step-by-step explanation:

After converting the two equations from standard form to slope -int form I graphed the two equations on a coordinate plane and found the intersection (in this case solution) of the equation to be (–6, –4)

Answer:

(–6, –4)

Step-by-step explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.

It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation.

Using the substitution method, make y the subject in the first equation

y = 5x + 26

substitute into the second equation

2x -7(5x + 26) = 16

-33x - 182 = 16

-33x = 16 + 182

-33x = 198

x = 198/-33

x = -6

since y = 5x + 26

y = 5(-6) + 26

= -30 + 26

= -4

hence (x,y) = (-6,-4)

Answer:

c) an = -13+7(n-1)

Step-by-step explanation:

We can use the formula for arithmetic sequences

an =a1+d(n-1)

where a1 is the first term in the sequence

d is the common difference

and n is the term number

a1 is -13

d is found by taking the second term and subtracting the first term

d = -6--13

  = -6+13

d=7

We are adding 7 each time

Substituting what we know,

an = -13 + 7(n-1)

The answer is:

Divide the new X value by the original x value:

6 / 2 = 3

Then check that with the Y value:

Original Y value = 6, 6 x 3 = 18, which is the new Y value.

This means the scale factor is 3.

Let us Represent the Line A in the Standard form : y = mx + c

where : m is the Slope of the Line and c is the y-intercept

Given : Equation of Line A is 2x + 3y = 10

[tex]\bf{\implies y = \frac{-2}{3}x + \frac{10}{3}}[/tex]

Comparing with the Standard form, We can notice that :

Slope of Line A [tex]\bf{= \frac{-2}{3}}[/tex]

We know that : Parallel lines have Same Slope

Given : Line A and Line B are Parallel

⇒ Slope of Line B [tex]\bf{= \frac{-2}{3}}[/tex]

Given : Line B passes through the Point (-6 , 8)

We know that : Equation of a Line passing through a Point (x₀ , y₀) and having Slope 'm' is given by : y - y₀ = m(x - x₀)

Here : x₀ = -6 and y₀ = 8 and Slope(m) [tex]\bf{= \frac{-2}{3}}[/tex]

Equation of Line B is :

[tex]\bf{\implies y - 8 = \frac{-2}{3}(x + 6)}[/tex]

⇒ 3y - 24 = -2x - 12

⇒ 2x + 3y = 12

Answer:

D

Step-by-step explanation:

The value of the trigonometric expression cos θ, when (-5, -4) is a point on the terminal side of θ is -5√41/41. Hence, option D is the right choice.

Trigonometric expressions are the ratios of the sides of a right triangle, which are always constant despite the increase or decrease in the size of its sides.

These are the trigonometric ratios:

In the question, we are asked to find the value of cos θ, given that (-5, -4) is a point on the terminal side of θ.

This means that we; are in quadrant III. As we know, cos θ is negative in the 3rd quadrant.

The base is the distance of the x-coordinate from the origin, that is, 5 units.

The perpendicular is the distance of the y-coordinate from the origin, that is, 4 units.

By Pythagoras' Theorem,

Hypotenuse² = Base² + Perpendicular²,

or, Hypotenuse² = 5² + 4²,

or, Hypotenuse² = 25 + 16,

or, Hypotenuse = √41.

As we know, cos θ = Base/Hypotenuse = 5/√41 = 5√41/41.

Because of the 3rd quadrant, we will take, cos θ = - 5√41/41.

Thus, the value of the trigonometric expression cos θ, when (-5, -4) is a point on the terminal side of θ is -5√41/41. Hence, option D is the right choice.

Learn more about trigonometric expressions at

https://brainly.com/question/19770283

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Answer:

(B): (x - 2)/(x + 1)

Step-by-step explanation:

The numerator is x^2 + 5x - 14. That is equal to (x - 2)(x + 7).

The denominator is x^2 + 8x + 7. That is equal to (x + 1)(x + 7).

You can then eliminate (x+7) to get (x - 2)/(x + 1).

Answer: B

Step-by-step explanation:

 [tex]\dfrac{x^{2}+5x-14}{x^{2}+8x+7}[/tex]

[tex]=\dfrac{(x+7)(x-2)}{(x+7)(x+1)}[/tex]

[tex]=\dfrac{(x-2)}{(x+1)}[/tex]

Answer:

We have

seats x ( 62 / 100 ) = (seats - 17,100);

seats x 62 = 100 x (seats - 17,100);

seats x 62 = seats x 100 - 1710000;

1,710,000 = seats x 38;

seats = 1,710,000 ÷ 38;

seats = 45,000;

The correct answer is c. 45,000 seats;

Step-by-step explanation:

45, 000 A for plato users

Step-by-step explanation:

Trust me im Master chief

Answer:

12 Fetches

Step-by-step explanation:

this one is easy but you probably overthought it,

since 2 is half of 4 then you would just multiply everything by 2

let's just say that didn't work right, for these types of problems you have to make a proportion so in this case it would be 2 minutes/6 fetches= 4 minutes/ x fetches. then you solve by cross multiplication.

Answer:

6 hrs 36 mins

Step-by-step explanation:

Bus at 6:55

Minutes to get to the bus 19.

deduct 19 Minutes from 6:55 = 6 hrs 36 mins  

Answer:

1. Translation 6 units to the right.

2. Stretch by a factor 5.

3. Translation 2 units up.

Step-by-step explanation:

Consider parent function [tex]f(x)=x^2.[/tex]

1. Translate the graph of the function 6 units to the right. Then you get the function [tex]f_1(x)=(x-6)^2.[/tex]

2. Stretch the graph of the function  [tex]f_1(x)=(x-6)^2[/tex] by a factor 5 and get the function [tex]f_2(x)=5(x-6)^2.[/tex]

3. Translate the graph of the function [tex]f_2(x)=5(x-6)^2[/tex]  2 units up to fet the function [tex]h(x)=5(x-6)^2+2.[/tex]