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Gala2k [10]
3 years ago
7

Select the domain and range of F. F = {(x, y ) | x + y = 10}.

Mathematics
1 answer:
storchak [24]3 years ago
8 0
F = {(x; y)| x + y = 10}

x + y = 10 it's a linear function.

The domain: x ∈ R  /any real number/
The range: y ∈ R  /any real number/
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Which of the following can be written as an equation
masha68 [24]

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B

Step-by-step explanation:

"Is the same as" means an = sign, necessary for an equation!

7 0
3 years ago
The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

6 0
3 years ago
The possible values of x are given by x−3≥2 . What is the least possible value of 5x ?
mamaluj [8]
The answer would be twenty five because x-3 \geq 2&#10; equals x  \geq 5 leaving you with x = 5 at a minimum. So 5x: 5 x 5 = 25

Hope this helps! :)
5 0
3 years ago
What is the surface area of the prism?
cestrela7 [59]

Step 1: Find the area of the bases (triangles)

A = 1/2 * base * height

A = 1/2 * 16 * 6

A = 48

48 + 48 = 96

Area of the triangles = 96 cm^2

Step 2: Find the area of the sides (rectangles)

A = base * height

A1 = 16 * 12

A1 = 192

A2 = 10 * 12

A2 = 120

120 + 120 = 240

240 + 192 = 432 cm^2

Step 2: Add the areas together

96 + 432

528 cm^2

Hope this helps!! :)

5 0
3 years ago
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