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svetlana [45]
3 years ago
11

What is the input value other than 7 for which g(x) = 4? X =

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer:

x = -8

Step-by-step explanation:

The input value other than 7 for which g( x ) = 4

x = -8

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Find the range of f(x) = -x2 + 1 for the domain {-2, 0, 2}
wariber [46]
Range is just input the domain

so find f(-2), f(0) and f(2)

f(-2)=-(-2)²+1=-4+1=-3
f(0)=-(0)²+1=0+1=1
f(2)=-(2)²+1=-4+1=-3

range={-3,1}
6 0
3 years ago
The sum of two consecutive numbers in 23. what are the numbers?
Elden [556K]

Answer:

11 + 12 = 23

Step-by-step explanation:

6 0
2 years ago
Charlie is watching hot air balloons. balloon a has risen at a 50° angle. balloon b has risen at a 78° angle. if the distance fr
AfilCa [17]

The distance from Balloon A to Balloon B, d ≈ 1,052 feet

What is distance ?

  • Distance is defined to be the magnitude or size of displacement between two positions.
  • Note that the distance between two positions is not the same as the distance traveled between them.
  • Distance traveled is the total length of the path traveled between two positions. Distance traveled is not a vector.

The given parameters are;

The angle at which Balloon A rises, x° = 50° above horizontal

The angle at which Balloon B rises, y° = 78° above horizontal

The (vertical) distance of Balloon A to the ground, h = 1,000 ft.

The required parameter;

The distance from Balloon A to Balloon B, d

We find the distances of the balloons from Charlie and the angle between the balloon strings, θ, then apply cosine rule

Let,

The height of the balloon strings are equal

The distance of Balloon A to the ground, h₁ = The distance of Balloon B to the ground, h₂ = 1,000 ft.

The distance of the Balloon A  from Charlie, l₁, is given as follows;

l₁ × sin(x°) = h₁

∴ l₁ = h₁/(sin(x°))

Which gives;

l₁ = 1,000 ft./(sin(50°)) ≈ 1,305.41 ft.

l₁ ≈ 1,305.41 ft.

For Balloon B, we get;

h₁ = h₂ = 1,000 ft.

∴ l₂ = 1,000 ft./(sin(78°)) ≈ 1,022.34 ft.

l₂ ≈ 1,022.34 ft

The angle between the balloon strings, θ = 180° - (x° + y°)

∴ θ = 180° - (50° + 78°) = 52°

The angle between the balloon strings, θ = 52°

By cosine rule, we have;

d = √(l₁² + l₂² - 2 × l₁ × l₂ × cos(θ))

∴ d = √(1,305.41² + 1,022.34² - 2 × 1,305.41×1,022.34 × cos(52°)) ≈ 1,052 feet

Therefore, the distance from Balloon A to Balloon B, d ≈ 1,052 feet

Learn more about distance

brainly.com/question/15172156

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7 0
2 years ago
the LSRL after an exponential transformation is lof y=0.986 + 3.149x. what is the exponential form of the regression
dolphi86 [110]

The exponential form of the regression 9.68(1409)^x .

An exponential function is described as a characteristic with a nice regular other than 1 raised to a variable exponent. A function is evaluated with the aid of solving at a specific input price. An exponential model can be found when the boom fee and preliminary cost are recognized.

As Harvard commercial enterprise review put it, “The incremental mindset makes a speciality of making something higher, at the same time as the exponential mindset makes a speciality of making something distinct. Incremental is glad with just five percent.

The exponential characteristic is a mathematical feature denoted by using f(x)=exp or e^{x}. Until in any other case specific, the term commonly refers to the fine-valued function of a actual variable, despite the fact that it is able to be extended to the complicated numbers or generalized to other mathematical items like matrices or Lie algebras.

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5 0
2 years ago
The area of a rectangular bathroom mirror is 9 square feet. the mirror is 3 feet wide. how tall is it?
lisabon 2012 [21]
You multpily the length and the width to find the area of a shape. If the square is 3ft wide, then the square is also 3 ft long if the area is 9.
so, how tall is it?
3 ft. I meant rectangle. Its still the same for the height.
5 0
3 years ago
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