Mathematics, 30.12.2019 20:31 lucahoffmannm

Can somebody me with this math problem?

Answers: 2

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Answers

Answer from: lerinmarie

Step-by-step explanation:

Solve each inequality separately

2x + 3 ≥ 7 ( subtract 3 from both sides )

2x ≥ 4 ( divide both sides by 2 )

x ≥ 2

2x + 9 > 11 ( subtract 9 from both sides )

2x > 2 ( divide both sides by 2 )

x > 1

x ≥ 2 satisfies the condition for both inequalities

Thus x ≥ 2 is the solution

Answer from: ejcastilllo

Hey there!

2x + 3 ≥ 7

SUBTRACT by 3 on your sides

2x + 3 - 3 ≥ 7 - 3

Cancel out: 3 - 3 because that gives you 0

Keep: 7 - 4 because it helps us solve for your answer

7 - 3 = 4

NEW EQUATION: 2x = 4

DIVIDE by 2 on your sides

2x/2 ≥ 4/2

Cancel out: 2/2 because it gives you 1

Keep: 4/2 because it helps us compare with your unknown number

4/2 = 4 ÷ 2 = 2

Answer #1: x ≥ 2 ✔

NOTE: it is a CLOSE circle shaded to the right

2x + 9 > 11

SUBTRACT by 9 on your sides

2x + 9 - 9 > 11 - 9

Cancel out: 9 - 9 because it equals

Keep: 11 - 9 because it helps us solve for your answer

11 - 9 = 2

NEW EQUATION: 2x > 2

DIVIDE by 2 on your sides

2x/2 > 2/2

Cancel out: 2x/2 because it gives you 1

Keep: 2/2 because it helps us compare with your unknown number

2/2 = 2÷2 = 1

Answer #2: x > 1 ✔

NOTE: Its a(n) OPEN circle shaded to the right

✅Your overall answer is: OPTIONS A and B ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

x =-.20752

step-by-step explanation:

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know logb c = loga c/loga b

we want to convert to base 10 so a = 10

by default, we do not write the 10 c = 4 and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

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