PEASE PLEASE HELP & EXPLAIN

Answers:

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Explanations:

Part (a)

The highest point is when y = 0 and the lowest point is when y = -4. The vertical distance between the peak and valley is 4 units, which cuts in half to 2. This is the amplitude. It's the vertical distance from the center to either the peak or valley.

Note: Amplitude is always positive as it measures a distance.

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Part (b)

For x > 0, the first valley or lowest point occurs between 0 and pi/4. It appears to be the midpoint of the two values. So that would be (0+pi/4)/2 = pi/8.

The next valley occurs between pi and 5pi/4. Compute the midpoint to get (pi+5pi/4)/2 = (4pi/4+5pi/4)/2 = (9pi/4)/2 = 9pi/8

So we have the graph go from one valley x = pi/8 to the next valley over x = 9pi/8. This is a distance of pi units because 9pi/8-pi/8 = 8pi/8 = pi

The graph repeats itself every pi units, so the period is pi.

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Part (c)

The midline is normally through y = 0, aka the x axis. However, the graph shows the midline is through y = -2. This means the graph has been shifted down 2 units.

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Part (d)

This will depend on whether you use sine or cosine. This is entirely because cosine is a phase-shifted version of sine, and vice versa. I'll go with sine.

The parent sine function y = sin(x) goes through the origin (0,0)

However, as part (c) mentioned, we shifted the graph 2 units down. So we have y = sin(x)-2. But plugging x = 0 into this leads to the point (0,-2)

This doesn't match what the graph says. The graph shows the point (3pi/8, -2) on the red curve. The x coordinate 3pi/8 is the midpoint of pi/4 and pi/2

This must mean we need to shift the sine graph 3pi/8 units to the right.

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Part (e)

Start at the lowest point when x = pi/8. If you start the cycle here, then it ends when x = 9pi/8. See part (b).

So far we've completed one cycle. If we start at x = 9pi/8, then the next valley or lowest point is slightly beyond or to the right of x = 2pi. This means we run out of room and we haven't completed a full cycle.

Overall, one full cycle is between 0 and 2pi.

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Part (f)

Again I'm going to use sine instead of cosine. Refer back to part (d).

The general sine curve equation is

y = A*sin(B(x-C))+D

where

In this case, we found that

So,

y = A*sin(B(x-C))+D

will update to

y = 2*sin(2(x-3pi/8))-2

which is one way to express the equation of the red curve. Optionally you can distribute the 2 through to (x-3pi/8).

Answer:

The installation fee is $150

Step-by-step explanation:

Ok so we need to see how much of the $210 is the installation fee. So first were going to multiply 5 by 12 which equals 60. So now were going to subtract that from the $210 so that gives us...

$210-$60=$150

Answer:

[tex]\Large\boxed{\text{Perpendicular Equation:} \ y = -\frac{2}{7}x + \frac{22}{7}}[/tex]

[tex]\Large\boxed{\text{Parallel Equation:} \ y = \frac{7}{2}x -12}[/tex]

Step-by-step explanation:

In order to find the equations that are parallel/perpendicular to the line [tex]y = \frac{7}{2}x - 4[/tex], we need to note a couple things about the relationships between lines and their parallel/perpendicular lines.

We know that the slope of a perpendicular line will be the the opposite reciprocal of the line we're comparing it to.

Since the slope of our base line is [tex]\frac{7}{2}[/tex], we can find the reciprocal, then the opposite of that.

So the slope of this line will be [tex]-\frac{2}{7}[/tex], making our equation [tex]y = -\frac{2}{7}x+ b[/tex]

However, y-intercepts will not stay the same. In order to find this, we can substitute the point (4, 2) into our equation to solve for b.

Now we know the y-intercept of this equation is [tex]\frac{22}{7}[/tex]. We can now finish off our equation of the line by substituting that in to what we already have,  [tex]y = -\frac{2}{7}x+ b[/tex].

[tex]y = -\frac{2}{7}x+ \frac{22}{7}[/tex]

As mentioned earlier, parallel lines will have the exact same slope but not the same y-intercept. Since the slope of our original equation is [tex]\frac{7}{2}[/tex], the slope for this one will also be [tex]\frac{7}{2}[/tex].

So we now know the equation looks something like [tex]y = \frac{7}{2}x + b[/tex].

In order to solve for b, we apply the same logic we did in the perpendicular line and substitute in the point (4, 2) into the equation.

Now that we know the slope and the y-intercept, we can finish off our equation as [tex]y = \frac{7}{2}x -12[/tex].

Hope this helped!

Answer:6:45

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

a ratio is just a fraction

9:45 = 9/45

6:x = 6/x

now you have 9/45 = 6/x

cross multiply:

9 * x = 45 * 6

9x = 270

divide both sides by 9

9x/9 = 270/9

x = 30

Answer:

x=20

Step-by-step explanation:

Answer:

F(x)= 4x-1 I think so hope it will help you

 f(x) = −2x^2 + 12x − 16

I just took the test and it was right

Answer: 65

Step-by-step explanation:

Answer:

wut

Step-by-step explanation:

Answer:

1. x^2-5

2. 13x+3

3. Add −5 and 3

2x−13x-2

hope this helps!!:)

Step-by-step explanation:

Answer: Types of fish sold

The type of fish sold is the independent variable in the student's experiment. So, the correct option is (A).

A variable is any kind of characteristic, number, or quantity which can be measured or counted. It can also be called a data item. Examples of variables are age, sex, occupation income and expenses, country of birth, capital expenditure, class grade, eye color, and vehicle type.

There are two types of Variables are:

1. Dependent variable

A dependent variable is a type of variable which changes as the result of independent variable manipulation which is the outcome interested in measuring, and it "depends on" the independent variable.

2. Independent variable

An independent variable is the type of variable which is manipulated or varied in an experimental study in order to detect its effects. This is "independent" because it is not affected by any other variable in the study.

In above case, this is independent because types of fish characteristic is not dependent for the experiment.

Thus, the type of fish sold is the independent variable in the student's experiment. So, the correct option is (A).

Learn more about Variables, here:

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Answer:

y=-x+15

Step-by-step explanation:

hope this helps :)

Answer:

Angle 6 is 47°

Step-by-step explanation:

Step-by-step explanation:

(2⁵ * 8⁴) / 16

= [2⁵ * (2³)⁴] / 16

= (2⁵ * 2¹²) / 2⁴

= 2¹⁷ / 2⁴

= 2¹³.

Hence a = 3, b = 12 and c = 13.

Answer:

The answer is 28.

Step-by-step explanation:

Ok.

☆7x and 3x + 16 are congruent, meaning they equal the same.

☆Since they are equal, we can make an equation out of then.

7x = 3x + 16

☆Then we just solve.

[tex] \: \: \: \: \: \: \: \: \: 7x = 3x + 16 \\ \frac{- 3x = - 3x}{4x = 16} \\ \\ \frac{4x}{4} = \frac{16}{4} \\ \\ x = 4[/tex]

☆Therefore, x equals 4.

☆We are solving for m<KJL so all we need to do is plug in.

[tex]7x \\ 7(4) \\ 28[/tex]

☆You answer is 28.

The required angle is 28°

Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. These triangles can be slid, rotated, flipped, and turned to be looked identical. If repositioned, they coincide with each other.

Given here ∠KJL=7x and ∠LJM=3x+16

now in ΔKJL & ΔLJM, JL is common and KL=LM, and by Pythagoras  theorem JL²=KL²+JK² & JL²=JM²+LM²

Thus   KL²+JK² = JM²+LM²

⇒        JK=JM

Thus by the SSS criterion, we can conclude that the triangles are congruent.

therefore by CPCT 7x=3x+16

                                4x=16

                                 x=4

so the required angle is 7×4 =28°

Hence, ∠KJL=28°

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Answer:

3r=2

Step-by-step explanation:

Answer:

11 miles

Step-by-step explanation:

10-1.75=8.25

8.25÷.75=11

Answer:

she has to give him 4 dollars each week for 11 weeks since he already has 7 dollars.

Step-by-step explanation:

4 x 11 = 44 +7 = 51 so now he had enough for a skateboard.

Answer: 14s - 7s/2 = 84

Step-by-step explanation:

Given that s is the length of the unknown side:

Area of the shaded region = 84

Area of rectangle - Area of triangle = 84

Area of rectangle = L * W

= 14 * s

= 14s

Area of triangle = ¹/₂ * base * height

= ¹/₂ * 14 * s/2

= 7s/2

Area of shaded region:

14s - 7s/2 = 84

Solving for s:

14s - 7s/2 = 84

28s - 7s = 168

21s = 168

s = 168/21

s = 8 inches

Answer:

2x+2y = 8

x – 2y = 4

3x=12

x=12/3=4

x=4

2x+2y=8

2(4) + 2y = 8

8+2y = 8

2y=8-8

2y=0

y=0/2=0

2(4)+2(0)=8

8+0=8

x+y=8

x-y=4

2x=12

x=12/2=6

6+y=8

y=8-6=2

6+2=8

2x+2y=4

x-y=4

2x+2y=4

2(x-y=4)

2x+2y=4

2x-2y=8

4x=12

x=12/4=3

2(3)+2y=4

6+2y=4

2y=4-6

2y=-2

y=-2/2=-1

2(3)+2(-1)=4

6+-2=4

x+2y=8

-(x+3y=4)

x+2y=8

-x-3y=-4

-1y=4

y=4/-1=-4

x+2(-4)=8

x+-8=8

x=8+8=16

y=8

Step-by-step explanation:

y=x+5 x=3

y=3+5

therefore

y=8

Answer:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Step-by-step explanation:

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

Answer A. 3 mph

A. 3 mph

Answer:

The answer is 13°C because 15-2 gives you 13

Step-by-step explanation:

Answer: im just going to guess 35 degrees

Step-by-step explanation:

Answer:

its 25

Step-by-step explanation:

35+120 =155

180 (the sum of a triangle) - 155 = 25

missing triangle equals= 25

to check= add the 3 triangles together, if the sum adds up to 180 its correct.

125+35+25= 180 √

Answer:

Step-by-step explanation:

36. (4,1)

x-axis(4,-1)

y-axis(-4,1)

37.(-2,3)

x-axis(2,-3)

y-axis(-2,3)

38.(2,-5)

x-axis(-2,5)

y-axis(2,-5)

39.(-3.5, -2.5)

x-axis(-3.5,2.5)

y-axis(3.5,-2.5)

Please correct me I am wrong

Here is the y-axis formula (-x,y)

Here is the x-axis formula(x,-y)

Answer:

See explanation!

Step-by-step explanation:

The term 9x is comprised of two values: 9 and x. The 9 represents the cost of the general admission tickets. Since the expression is representing the total cost for the group of friends, the number of friends attending must be represented somehow in the equation. Since the $9 is paired with the x, this means that x represents how many of the friends are paying the general admission price. After interpreting both values within the term, the meaning of the term 9x is simply just the total cost of the friends that are paying the general admission price! Hope this helps!

Answer: (x, y) --> (x, -y)

Step-by-step explanation:

This is a reflection over the x-axis so its only the y-intercept that changes.

Answer:

its a reflection

Step-by-step explanation:

If it were a rotation, it wouldnt have overlapped.

If it were a translation, It would have been the wrong way up and not overlapping.

When reflected over line x, it will overlap because it stays rigid and does not change shape or size.

hope this helps :)