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AVprozaik [17]
3 years ago
10

Choose the correct translation for the given statement.

Mathematics
2 answers:
Rainbow [258]3 years ago
8 0

Answer: x > 10

<u>Step-by-step explanation:</u>

NOTE: exceed means "greater than"

x < 10   <em>x is less than 10</em>

x ≤ 10   <em>x is less than or equal to 10</em>

x > 10   <em>x is greater than 10</em>

x ≥ 10   <em>x is greater than or equal to 10</em>

pogonyaev3 years ago
6 0

Answer:  The correct option is (C) x>10.

Step-by-step explanation:  We are given to choose the correct translation for the following statement :

"It must exceed ten".

Let x denotes the quantity that we are talking about.

Since x must exceed ten, so the value of x must be greater than 10, neither less than nor equal to 10.

Therefore, the required translation for the given statement is :

x>10.

Thus, (C) is the correct option.

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Find the first five terms of the sequence in which a1 = 6 and an = –3an – 1 – 12, if n ≥ 2.
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Answer:

\huge\boxed{6,\ -30;\ 78;\ -246;\ 690}

Step-by-step explanation:

a_1=6\\a_n=-3a_{n-1}-12\qquad n\geq2\\\\\text{Substitute}\ n=2,\ n=3,\ n=4,\ n=5\ \text{to}\ a_n=-3a_{n-1}-12:\\\\\text{for}\ n=2\\\\a_2=-3a_{2-1}-12=-3a_1-12\\\\\text{substitute}\ a_1=6\\\\a_2=-3(6)-12=-18-12=-30\\\\\text{for}\ n=3\\\\a_3=-3a_{3-1}-12=-3a_2-12\\\\\text{substitute}\ a_2=-30\\\\a_3=-3(-30)-12=90-12=78

\text{for}\ n=4\\\\a_4=-3a_{4-1}-12=-3a_3-12\\\\\text{substitute}\ a_3=78\\\\a_4=-3(78)-12=-234-12=-246\\\\\text{for}\ n=5\\\\a_5=-3a_{5-1}-12=-3a_4-12\\\\\text{substitute}\ a_4=-246\\\\a_5=-3(-246)-12=702-12=690

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4 years ago
Use properties of rational numbers to multiply the following.
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Solve the absolute value inequality |x+9| &gt; 3
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Answer:

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Step-by-step explanation:

Break down the problem into these 2 equations.

x+9>3x+9>3

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Solve the 1st equation: x+9>3x+9>3.

x>-6x>−6

3 Solve the 2nd equation: -(x+9)>3−(x+9)>3.

x<-12x<−12

Collect all solutions.

x>-6,x<-12x>−6,x<−12

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3 d^2 + 7 d - 7

Step-by-step explanation:

5d^2 + 4d - 3 less 2d^2 - 3d + 4

<em> correct difference</em>

3 d^2 + 7 d - 7

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