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2 years ago

Please help i give 15 points for the answer

Mathematics

2 answers:

Hoochie [10]2 years ago

8 0

3 1/2 x 3/5= 7/2 x 3/5= 21/10 = 2 1/10

Paraphin [41]2 years ago

5 0

Answer:

2 and 9/10

Step-by-step explanation:

3 1/2- 3/5=2 9/10

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if a number line plot starts from 2 (including the point) and extends towards positive infinity, the corresponding inequality is

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Step-by-step explanation:

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2 years ago

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2 years ago

Simplify the expression:z2-z(z+3)+3z

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3 years ago

Ethan plotted points E, F, G, H, and I on a number line, as shown below. Which two points that Ethan plotted represent numbers t

nirvana33 [79]

Answer:

F and H

Step-by-step explanation:

From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:

a + (-a) = 0

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F + H = 0

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2 years ago

Let n be a natural number. Show that 3 | n3 −n

Vladimir [108]

Let $n=1$ . Then $n^3-n=1^3-1=0$ . By convention, every non-zero integer $n$ divides 0, so $3\vert n^3-n$ .

Suppose this relation holds for $n=k$ , i.e. $3\vert k^3-k$ . We then hope to show it must also hold for $n=k+1$ .

You have

$(k+1)^3-(k+1)=(k^3+3k^2+3k+1)-(k+1)=(k^3-k)+3(k^2+k)$

We assumed that $3\vert k^3-k$ , and it's clear that $3\vert 3(k^2+k)$ because $3(k^2+k)$ is a multiple of 3. This means the remainder upon divides $(k+1)^3-(k+1)$ must be 0, and therefore the relation holds for $n=k+1$ . This proves the statement.

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2 years ago