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brilliants [131]
3 years ago
12

Write down the negation of each statement

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

1. ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y)

2. ∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)

Step-by-step explanation:

If we negate a quantified statement, first we negate all the quantifiers in the statement from left to right, ( keeping the same order ) then we negative the statement,

Here, the given statement,

1. ∃y ∈Z such that ∀x ∈Z, R (x + y)

By the above definition,

Negation of this statement is ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y),

2. Similarly,

The negation of statement ∀x ∈Z, ∃y∈Z such that R(x + y),

∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)

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Multiply these two together in simplest from
bezimeni [28]

Answer:

\frac{3x}{5(x+2)}

Step-by-step explanation:

Multiply the fractions by multiplying the numerators.

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8 0
3 years ago
Read the proof. Given: AB ∥ DE Prove: △ACB ~ △DCE We are given AB ∥ DE. Because the lines are parallel and segment CB crosses bo
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Answer: AA similarity theorem.

Step-by-step explanation:

Given : AB ∥ DE

Prove: ΔACB ≈ ΔDCE

We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA.

Also ∠C ≅ ∠C using the reflexive property.

Therefore by AA similarity theorem , ΔACB ≈ ΔDCE

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6 0
3 years ago
Read 2 more answers
A survey was conducted by an independent price checking company to check an advertiser's claim that it had lower prices than its
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Answer:

a) critical values ≈ -3.182 and 3.182  shows that there is difference in average prices

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Step-by-step explanation:

<u>a) Determine if there is any significant difference in the average prices </u>

using ∝ = 0.05

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df = 3

hence the critical values ( two tailed test ) =  -3.182 and 3.182. this shows that there is sufficient evidence to show that there is difference in the average prices

<u>b) state the hypothesis</u>

 H0 : μd = 0 ( null )

Alternate hypothesis : Ha : μd ≠ 0

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3 years ago
Help me asap!! <br><br> quick before I'm late
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Exact form: 9/20 and decimal form: 0.45
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Minchanka [31]
4, 8, 16, 32, 64, 128, 256, 512, 1,024.

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Hope this helps!!
~Kiwi
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