3
If f (x) = √2-x and g(x) = x-1, then find the domain of h (x) = f(x) = g(x).
O A.
(-∞0, 1) U (-1,2]
O B.
(-∞0, 1) U (1,2]
O C.
(-∞0, 2) U (1,2]
O D.
(-∞, -1) U (1,2]
O E. (-∞0,-2) U (1,2]
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All values of t for which the ball's height is 8 feet are 0.82 or 0.305.

What is quadratic equation?

Quadratics are often outlined as a polynomial equation of a second degree, which means that it contains a minimum of 1 term that's square. it's conjointly known as quadratic equations.

Main Body:

The actual equation is

h=  4- 18t +16t²

initial height of ball = 4 ft

The problem asks for a time when the ball's height will be 8 ft. To find these times, I plug 8 in for h and solve for t:

8 = 4+18t -16t²

16t² - 18t +4 =0

Using the quadratic equation:

t = {18 ±√((18)² - 4*16 *4 )}/2*16

t = 18 ± √(324 - 256)/32

t = (18 ± √68) /32

t = (18±8.24)/32

t =  0.82 or 0.305

Hence ,all values of t for which the ball's height is 8 feet are 0.82 or 0.305.

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The required value of y for the given inverse relation is 30.78

What is the inverse variation?

Inverse variation occurs when one variable varies inversely with respect to another. It represents the inverse relationship between two quantities are two quantities.

In mathematics, inverse variation refers to the relationships between variables that are expressed as y = k/x, where x and y are two variables and k is a constant value. It states that if the value of one quantity rises, the value of the other quantity falls.

Given, y varies inversely as [tex]x^{2}[/tex]

That is, y∝ 1/ [tex]x^{2}[/tex]

or, y = k/ [tex]x^{2}[/tex]

or,  [tex]x^{2}[/tex]y = k

And, y=38 when x=18

Then,  [tex]18^{2}[/tex]*38 = k

k = 12312

Now, if x=20 then y=?

[tex]x^{2}[/tex]y = 12312

or,  [tex]20^{2}[/tex]*y = 12312

or, 400y = 12312

or, y = 12312/400 = 30.78

Hence, the required value of y is 30.78

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The value of x has been solved as 6.4

We would have EG = EF + FG

where EG = 70

EF = 4x-3

FG =  6x+9

We would have to put these values in the equation that we have above, such that we would have, To the respective variables, connect the related terms:

70 = (4x-3) + (6x+9)

Separate the x variable. Because of the equal symbol, everything you do on one side also affects the other.

Open the brackets

70 = 4x + 6x -3 + 9

70 = 10x + 6

70 - 6 = 10x

64 = 10x

divide through by 10

x = 64 / 10

x = 6.4

Hence the value of x would be given as 6.4

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The number of apples x will be 10 and the number of bananas y will be 4.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Ethan and his children went into a grocery store and he bought $6 worth of apples and bananas. Each apple costs $0.75 and each banana costs $0.30. He bought a total of 14 apples and bananas altogether.

The number of apples and bananas will be calculated as,

0.75x +0.30y = 6

x + y = 14 or x = 14 - y

0.75(14-y) = 0.30y = 6

10.5-0.75y + 0.30y = 6

y = 10

x = 14  - y

x = 14 - 10 = 4

Therefore, the number of apples x will be 10 and the number of bananas y will be 4.

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Answer:

44

Step-by-step explanation:

BxH/2=Area

8x11=88

88/2=44

area=44

The antenna's height is determined to be 10 m using right triangle relations.

Following are the relationships in a right triangle:

The sine of an angle is equal to the length of the hypotenuse divided by the length of the side opposite the angle.

The cosine of an angle is equal to the neighboring side's length divided by the hypotenuse's length.

The tangent of an angle is calculated by dividing the length of the angle's adjacent side by its opposite side.

So, n this case, the side opposite to the 17o angle is the vertical height from her eyes to the top of the antenna, and the next side is the horizontal distance of 29 m, then:

tan 17° = h/29

h = 29 tan 17°

h = 8.87

Including eye height:

h = 8.87 + 1.51 = 10.38 m.

The antenna is 10 meters tall, rounded to the nearest meter.

Therefore, the antenna's height is determined to be 10 m using right triangle relations.

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Answer:

i don't know but its not B or D and my guess is A

Step-by-step explanation:

1200 people subscribed Sunday edition and 200 people subscribed only sunday edition.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that A survey of 2000 subscribers to a certain news paper revealed that 1800  people subscribe to the daily morning edition  

And 1000 subscribe to both the daily and the sunday editions.  

Let x denote the number who subscribe to the Sunday edition.  

Then the addition rule with overlap tells us that is;

1800 + x – 1000 = 2000

800 + x = 2000  

x = 1200  

so, 1500 subscribe to the Sunday edition and 1200 – 1000 = 200 subscribe to the Sunday edition only.

Hence, 1200 people subscribed Sunday edition and 200 people subscribed only sunday edition.

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Answer:

i think A is a function because when you search what it looks like it looks kind of like A so i am sure it is A

Step-by-step explanation:

Answer: 14.0328

Step-by-step explanation:

Answer: 14.032

Step-by-step explanation: you just have to move the decimal point

Answer:

475$

Step-by-step explanation:

Each person will have 3 quects when they have the same amount

Given that:

Andrea started out the day with 2 quects and sold some each hour. Lee started the day with 12 quects and sold some each hour.

The equation of a line is of the form y = mx+c

where m is the slope and c is the y-intercept

For Lee

y =mx+c

c = 12

m = 12-8/0-1 = 4/( -1) = -4

y = -4x+12

For Andrea

y =mx+c

c = 2

m = 2-1/0-1.5 = 1/(-1.5) = -2/3

y = -2/3 x + 2

At the same amount y = -4x+12 is equal to y = -2/3 x + 2. Thus:

-4x+12 = -2/3 x + 2

4x-2/3 x = 12-2

10/3 x = 10

10x = 30

x = 30/10 = 3

Therefore, at 3 quects each person will have when they have the same amount

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Answer:

b = 4

Step-by-step explanation:

y = mx + b represents the equation of a line

m represents the slope

b represents the y-intercept

Based on what we're given, we could determine that 4 is our y-intercept or b.

The probability that the blood pressure of woman is more than 130 by given normal distribution is 0.9505

What is z-value?

The standard score in statistics is the amount of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean.

We are given a normal distribution with a mean value 115 and standard deviation 9

And we are asked to find the probability that a woman selected at random has blood pressure greater than 130

We first find the z-value

z= (x-μ)/σ

z= (130-115)/9

z= 15/9

z= 1.6666

Now the corresponding value is

Probability is 0.95

Hence the probability is 95%

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Answer:

formula. for  circumference of a circle is. : 2πR. if you have the radius.

As the diameter is twice the radius,  then  circumference is. diameter π

then : 18*π≈ 56.52

the mistake was to take the diameter as the radius.

Step-by-step explanation:

check answer

Answer: 64

Step-by-step explanation:

43 = (4)(4)(4)

=64

OR

4x4x4=64

Answer:

(x-2)(x^2+1)

do not exist the answer, so check your question

Step-by-step explanation:

(x^3-2x^2)+(x-2) = x^2(x-2)+(x-2)

= (x-2)(x^2+1)

12. The customer should use 120 units in a quarter for company A to be      cheaper.

What is cost management?

Cost management is the process of estimating, allocating, and controlling costs. The cost management process allows a business or a customer to predict future expenses to reduce the chances of budget overrun.

Solution:

Company A charges $14 for first 100 units = 14×100

                                                                        = $1400

After that 11% of 14 = 1.54 per unit

Company B charges $12 per unit so for 100 units = $12×100

                                                                                     = $1200

For company A to be cheaper, customer must use 120 units of electricity from company B as expense for 120 units from company B will be  $12×120 = $1440

and,

For 120 units of electricity from company A would be

$14×100 + 1.54×20 as after 100 units company A will charge 11%.

∴ for 120 units = 1400 + 30.8

                        = $1430.8

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13. For taxi company A to be cheaper customer must travel a minimum of 6 miles.

What is cost management?

Cost management is the process of estimating, allocating, and controlling costs. The cost management process allows a business or a customer to predict future expenses to reduce the chances of budget overrun.

Solution:

Given:

Company A charges $2.25 for a minimum of 2 miles journey and after that 85 cents per mile.

Company B charges 95 cents per mile without any minimum mile condition.

Let's assume

no. of miles = 4

fare from A = $2.25(2 miles) + 85 cents(1 mile) + 85 cents(1 mile)

                  = $3.95

fare from B = 95 cents × no. of miles

                  =  95 cents × 4

                  = $3.8

∵ Fare of company A is greater than B, minimum number of miles should be greater than 4.

now,

Let's assume

no. of miles = 5

fare from A = $2.25 + 85 cents + 85 cents + 85 cents

                  = $4.8

fare from B = 95 cents × no. of miles

                  =  95 cents × 5

                  = $4.75

∵ Fare of company A is greater than B minimum number of miles should be greater than 5.

now,

Let's assume

no. of miles = 6

fare from A = $2.25 + 85 cents + 85 cents + 85 cents + 85 cents

                  = $5.65

fare from B = 95 cents × no. of miles

                  =  95 cents × 6

                  = $5.7

∵ Fare of company A is less than B.

∴ Minimum number of miles should be 6.

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Answer:

Data set 1: 20

Data set 2: 25

Step-by-step explanation:

Range is where you take the lowest value and subtract it from the highest value. So with data set 1, the highest number is 40 and the lowest is 20.cSo 40-20=20. Answer 20. Then with data set number 2, the highest number is 60 and the lowest is 35. So 60-35=25. Answer 25.

I hope this helps!!!

Answer:

If you connect the 2 dots it will give a X image.Both lines will cross each other forming the X

Answer:

Step-by-step explanation: h(t)=-16t2+85

Let h(t)=0 to find when the object will hit the ground

0=-16t2+85

Solve for t=?

We need to get t term on its own

Take 85 from both sides

0-85=-16t2+85-85

-85=-16t2

To get t term on its own

Divide both sides by -16

-85/-16=-16t2/-16

5.3=t2

We have to solve for t squared that means we must take the square root of both sides

the square root of 5.3=gives + or - 2.3 seconds we can't have negative time so discard -2.3 seconds

Answer:

B

Step-by-step explanation:

assuming you mean [tex]8C_{6}[/tex]

using the definition

n[tex]C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]

where n! = n(n - 1)(n - 2) × 3 × 2 × 1

then

8[tex]C_{6}[/tex]

= [tex]\frac{8!}{6!(8-6)!}[/tex]

= [tex]\frac{8!}{6!(2!)}[/tex]

= (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (6 × 5 × 4 × 3 × 2 × 1 × 2 × 1

cancel (6 × 5 × 4 × 3 × 2 × 1 ) on numerator / denominator

= (8 × 7 ) / 2 × 1

= 56 ÷ 2

= 28

Apologies for formatting.

The equation of the function represented by the graph is (d) g(x) = √(x + 9) - 1

From the question, we have the graph that can be used in our computation:

The parent function of the graph is a square root function

This is represented as

f(x) = √x

First, we have the transformation to be:

The function is translated left by 9 units

Next, we have:

The function is translated down by 1 unit

Mathematically, this can be represented as

g(x) = f(x - 9) - 1

When represented as an equation, it is

g(x) = √(x + 9) - 1

Hence, the transformation is (d) g(x) = √(x + 9) - 1

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Answer:

This is because the function is an exception - it is a special type of function called a Separatrix Separation Function.

Step-by-step explanation:

The Separatrix Separation Function theorem helps us prove through complex conjugates the reason why there is no hole at x =2.

Answer:

9 ; $234

Step-by-step explanation:

the maximum revenue is the vertex of the parabola

a) -53/(2*-3)

-53/-6

53/6

8.833333

9

b

-3(53/6)^2 + 53(53/6)

-3(2809/36) + 2809/6

-2809/12 + 2809/6

(-2809 + 5618)/12

2809/12

234.083333

234

Answer:

$592.92

Step-by-step explanation:

Part of your job as manager is to count the cash for the daily bank deposit. When you count the cash, you have 47 ones, 22 fives, 9 tens and 17 twenties. You also have 67 pennies, 12 nickels, 9dimes and 15 quarters. What is the total amount of the deposit?

47 ones = $47

22 fives = $110

9 tens = $90

17 twenties = $340

67 pennies = $0.67

12 nickels = $ 0.60

9 dimes = $0.90

15 quarters = $3.75

$47 + $110 + $90 + $340 + $0.67 + $ 0.60 + $0.90 + $3.75 = $592.92

Answer:

Alex will have a total of $990 in 5 years.

Step-by-step explanation:

Using the formula [tex]i=prt[/tex] we get [tex]i=900[/tex] × [tex]0.2[/tex] × [tex]5[/tex] which equals 90

[tex]900 + 90 = 990[/tex]

Step-by-step explanation:

Riders must be at least 48 inches. "At least" means greater than or equal to. Therefore, the inequality is:

h ≥ 48

To graph this, we draw a solid dot at the 48 mark (because it can equal 48) and an arrow to the right (because it can be greater than 48).

The equation is x^2-8 x-15=0.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

Given, sum of the roots of a quadratic equation is 8 and their product is 15 We know that the quadratic equation is given as [tex]$\mathrm{x}^2-$[/tex](Sum of the roots) [tex]$\mathrm{x}+$[/tex] (product of the roots)[tex]$=0$[/tex] [tex]$\Rightarrow x^2-8 x-15=0$[/tex]

Hence, the equation is x^2-8 x-15=0.

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Answer:

  x² +8x -15 = 0

Step-by-step explanation:

You want a quadratic such that the sum of the roots is -8 and their product is -15.

When the roots of a quadratic are p and q, its factored form is ...

  (x -p)(x -q) = 0

The expanded form of this is ...

  x² -(p+q)x +pq = 0

That is, the coefficient of x is the opposite of the sum of the roots, and the constant is the product of the roots.

Here, we want the sum of roots to be -8, so the x-coefficient will be the opposite of that: 8. The constant will be the product of the roots: -15. That makes the desired quadratic be ...

  x² +8x -15 = 0

__

Additional comment

The attachment shows the quadratic, its roots, and their sum and product.