the graphs below have the same shape. what is the equation of the red graph?

Answer:

see file below.

Step-by-step explanation:

The matching of hyperbolas to their vertices is shown below.

The standard form of the equation of a hyperbola with center (h , k)

and transverse axis parallel to the x-axis is  (x - h)²/a² - (y - k)²/b² = 1

1. (x + 2)²/3² - (y - 5)²/4² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 3 , b = 4 , h = -2 , k = 5

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (1 , 5) , (-5 , 5)

2. (x - 4)²/8² - (y + 2)²/9² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 8 , b = 9 , h = 4 , k = -2

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (12 , -2) , (-4 , -2)

3. (y + 5)²/15² - (x - 1)²/8² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 15 , b = 8 , h = -5 , k = 1

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (-20 , 1) , (10 , 1)

4. (x - 4)²/8² - (y + 2)²/6² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 8 , b = 6 , h = 4 , k = -2

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (12 , -2) , (-4 , -2)

5.  (y - 3 )²/6² - (x + 7 )²/5² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 6 , b = 5 , h = 3 , k = -7

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (-3 , -7) , (9, -7)

6. (x - 3)²/5² - (y + 7)²/10² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 5 , b = 10 , h = 3 , k = -7

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (-2 , -7) , (8 , -7)

7. (y - 5 )²/7² - (x + 2 )²/8² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 7 , b = 8 , h = -2 , k = 5

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (5 , 5) , (-9, 5)

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Answer:

6.69

Step-by-step explanation:

the radius is from the outside of the circle to the center and the diameter is completely through so you would times 3.345 by 2 to get 6.69 which is your diameter

Answer:

6.69

Step-by-step explanation:

radius is D/2

therefore, r =d/2

so therefore, 2×r=d

that is: 2×3.345 = 6.69

Answer:

35

Step-by-step explanation:

track the number to the other side of the graph

Answer:

35.5m

Explanation:

Find the diagram attached

First you need to get the missing side of the triangular pool using the pythagoras theorem;

Let the missing side be x

x² = 15² - 13²

x² = 225 - 169

x² = 56

x = √56

x = 7.48m

Amount of meter of fence needed is the perimeter of the triangular pool

perimeter of the triangular pool = 15 + 13 + 7.48

perimeter of the triangular pool = 35.48m

perimeter of the triangular pool = 35.5m

Hence the amount of meters of fence needed is 35.5m

Answer:

36.56 in

Step-by-step explanation:

perimeter is the sum of all sides

u add all the sides of the square by 6

6+ 6 + 6 + 6 = 24

circumference is the line around the circle

circumference = 3.14 x diameter

c = 3.14 x 4

c = 12.56

24 + 12.56 = 36.56

to the NEAREST HUNDREDTH????? ok welll thats alr

remember

5 or more, raise the score

4 or less, let it rest

this should be fine since the last 6 is alr in the hundredth place :)

like this up !!

Answer:

2.8

Step-by-step explanation:

5x = 20 - 6

5x/5 = 14/5

x = 2.8

Answer:

x+51+80+60=180

x+191. =180

x=180-191

x=-11

Answer:

C, The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

Step-by-step explanation:

Using error concepts, it is found that the consequence of a Type I error in this situation in this situation is given by:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

At the null hypotheses, it is tested if the weights are not heavier, that is:

[tex]H_0: \mu = 140[/tex]

At the alternative hypotheses, it is tested if they are heavier, that is:

[tex]H_1: \mu > 140[/tex]

A Type I error is the rejection of a true null hypothesis, that is, concluding that the weights are heavier and more profitable when they are not. Hence the correct option is:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

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Answer:

X = 5

Step-by-step explanation:

You always do the inverse (opposite). 20 - 15 = 5, therefore the variable 'X' = 5. Also, if you add '6' to 'X', then it shall be ONE greater than 20.

Answer:

any real number greater than 5

Step-by-step explanation:

X+15> 20

X>20-15

X>5

(5,∞)

you can easily know by ;- 6+15>20

21>20 it's true

Answer:

y=90x+2,000

y=mx+b

Answer:

42 yard

Step-by-step explanation:

Area of deck = total area - area of pool

area of a rectangle = length x width

5 x 6 = 30

72 - 30 = 42

Answer: 2

Step-by-step explanation:

The amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The function is defined as mathematics expression defines a relationship between one variable and another variable.

A amplitude of function is defined as periodic variable's amplitude is a measure of its change over a single period. A non-periodic signal's magnitude in relation to a standard value is its amplitude.

Given the function of graph as :

y = 2sin(4x - 1) + 3

Comparing the form asin(bx - c) + d to determine the amplitude, period, phase shift, and vertical shift.

Where a is amplitude , d is vertical shift , c/b is phase shift

Amplitude (a): 2

Period: π/2

Phase Shift (c/b): 1/4 (1/4 to the right)

Vertical Shift (d) : 3

Hence, the amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.

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Answer: [tex]0.0756,\ 0.7599[/tex]

Step-by-step explanation:

Given

Probability that a coin will land head is [tex]0.3[/tex] i.e. probability of success is [tex]p=0.3[/tex] So, the probability of failure is [tex]q=1-0.3=0.7[/tex]

Using Binomial distribution for [tex]n=4[/tex]

(a) Probability that the coin will lead heads exactly 3 times

[tex]\Rightarrow P(3)=^4C_3(0.3)^3(0.7)^1\\\Rightarrow P(3)=4\times 0.7\times (0.3)^3\\\Rightarrow P(3)=0.0756[/tex]

(b)Probability that the coin lands head at least once

[tex]\Rightarrow 1-P(0)\\\Rightarrow 1-^4C_0(0.3)^0(0.7)^4\\\Rightarrow 1-1\cdot(0.7)^4\\\Rightarrow 0.7599[/tex]

Answer:

224 student ride the bus to school each day.

Step-by-step explanation:

Answer:

a 120

Step-by-step explanation:

Answer:

[tex]y + (-y) = 0[/tex]

Step-by-step explanation:

Required

Which represents addition inverse

This property illustrates the addition of a number and its inverse (i,e, negation)

So, we have:

[tex]-y + y = 0[/tex]

or

[tex]y + (-y) = 0[/tex]

Answer:

The expressions x + x and 2x are equal.

[tex]the \: expressions \: (x)(x) \: and \: {x}^{2} \: are \: equal[/tex]

Answer:

Step-by-step explanation:

Answer:

Male: 38 46 84

Female: 88 24 112

Total: 126 70 196

Answer:

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A linear equation does not actually have solutions; rather, we find the locus of points (   x, y = f(x)   ) and draw a straight line through them.

It is a SYSTEM of linear equations that may or may not have solution(s).  

If one equation in this system is a multiple of the other, then the two equations represent the same line and the SYSTEM has infinitely many solutions.  The graphs of the two equations coincide/overlap.

Answer:

It is 14130 mm^3

Step-by-step explanation:

So the equation for the volume of a sphere is (4/3) (3.14) r^3. So since we already have the radius, we just plug it in to get the answer:

(4/3) (3.14) r^3

(4/3) (3.14) 15^3

(4/3) (3.14) 3375

(4/3) (10597.5)

14130 mm^3

Answer: 365 days five hours 40 minutes 45 seconds

Step-by-step explanation:

STEP 1: (1/3 : 1/6) = 2/1 = 2

STEP 2: 3/4 + 2 = 11/4 = 2 3/4 = 2.75

STEP 3: 2.75 (-1/2) = -11/8 = -1 3/8 = -1.375

(1) Divide: 1/3 : 1/6 = 1/3 · 6/1 = 1 · 6/3 · 1 = 6/3 = 3 · 2 /3 · 1 = 2

(2)Add: 3/4 + the result of step No. 1 = 3/4 + 2 = 3/4 + 2/1 = 3/4 + 2 · 4/1 · 4 = 3/4 + 8/4 = 3 + 8/4 = 11/4

(3) Subtract: the result of step No. 2 - (-1/2) = 11/4 - (-1/2) = 11/4 - (-1) · 2/2 · 2 = 11/4 - (-2/4) = 11 - (-2)/4 = 13/4

Therefor your answer is A 13/4 OR 1 and 3/4: )

Hope this helps!

Sorry for all the steps but those steps will help you!

-Hailey: )

(nothing is copied or pasted!!!!!)

Answer:

88

Step-by-step explanation:

(82+91+79+85+s) ÷ 5 ≤ 85

(337 + s) ÷ 5 ≤ 85

cross-multiply to get:

337 + s ≤ 85(5)

337 + x ≤ 425

x ≤ 425 - 337

x ≤ 88

Answer:

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

Step-by-step explanation:

Answer:

m<1 = 29

Step-by-step explanation:

All angles of a triangle equal 180:

<1 = x

Equation:

x + 90 + 61 = 180

x + 151 = 180

x = 180 - 151

x = 29

Answer:

1- B & C (Same answer and also I'm not that sure)

2- B: y = 8x (I'm sure of this ^^)

3- Option 3

4- 108 degrees

Answer:

1. C

2. B

3. Option 3

4. 108 degrees

Step-by-step explanation:

1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.

2. x is multiplied by 8 to create y, so the equation is y=8x

3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.

4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees

Answer:

3/11

Step-by-step explanation:

3/25 = 0.12

3/16 = 0.1875

3/8 = 0.375

3/11 = 0.27272727272727...

The only one that has a repeating decimal is 3/11.

Answer:

x intercepts are (-3,0) and (5,0), axis of symmetry is x=1, and vertex is (1,16), domain is (-infinity, infinity) and range is (-infinity, 16], maximum is (1,16) and minimum is -infinity, the y intercept is (0,15)

Step-by-step explanation: