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RoseWind [281]
3 years ago
6

Find the solution -18x + 3 <48

Mathematics
1 answer:
aliina [53]3 years ago
3 0

Answer:

x>-5/2

Step-by-step explanation:

subtract 3 on both sides and divide the difference by -18

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A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls.
amid [387]
9 rolls* (3 cups of flour/ 27 dinner rolls)= 1 cup of flour.

1 cup of flour is needed to make 9 rolls~
5 0
3 years ago
I NEED HELP WHAT IS 3÷4 1/2÷3 3/4=????
Alexxx [7]

Answer:

8/45

Step-by-step explanation:

4 0
3 years ago
1. Prove or give a counterexample for the following statements: a) If ff: AA → BB is an injective function and bb ∈ BB, then |ff
Fantom [35]

Answer:

a) False. A = {1}, B = {1,2} f: A ⇒ B, f(1) = 1

b) True

c) True

d) B = {1}, A = N, f: N ⇒ {1}, f(x) = 1

Step-by-step explanation:

a) lets use A = {1}, B = {1,2} f: A ⇒ B, f(1) = 1. Here f is injective but 2 is an element of b and |f−¹({b})| = 0., not 1. This statement is False.

b) This is True. If  A were finite, then it can only be bijective with another finite set with equal cardinal, therefore, B should be finite (and with equal cardinal). If A were not finite but countable, then there should exist a bijection g: N ⇒ A, where N is the set of natural numbers. Note that f o g : N ⇒ B is a bijection because it is composition of bijections. This, B should be countable. This statement is True.

c) This is true, if f were surjective, then for every element of B there should exist an element a in A such that f(a) = b. This means that  f−¹({b}) has positive cardinal for each element b from B. since f⁻¹(b) ∩ f⁻¹(b') = ∅ for different elements b and b' (because an element of A cant return two different values with f). Therefore, each element of B can be assigned to a subset of A (f⁻¹(b)), with cardinal at least 1, this means that |B| ≤ |A|, and as a consequence, B is finite.

b) This is false, B = {1} is finite, A = N is infinite, however if f: N ⇒ {1}, f(x) = 1 for any natural number x, then f is surjective despite A not being finite.

4 0
3 years ago
Given that (8,-1) is on the graph of f(x), find
Nikolay [14]

Answer:

(-12, -1)

Step-by-step explanation:

(8, -1) => (-2/3x, f(-2/3x))

therefore

-2/3x = 8

x = 8 *-3/2

x = -12

f(-2/3x) = -1

therefore, the corresponding point is:

(-12,-1)

5 0
2 years ago
How do you do 4x - 9 = 6x - 13? what do you subtract from both sides?
ohaa [14]
To start, you need to subtract 4x from both sides, that way, x is one one sid of the equation.

8 0
3 years ago
Read 2 more answers
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