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mafiozo [28]
3 years ago
12

The sum of two consecutive even integers is -34 what is the smaller integers

Mathematics
1 answer:
Annette [7]3 years ago
3 0
Even integers are  2 apart

they are n and n+2

n+n+2=-34
2n+2=-34
minus 2 both sides
2n=-36
divide 2
n=-18
n+2=-16
de smaller is -18
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A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plu
Alisiya [41]

Answer: They will charge same amount for 360 minutes of calls.

Step-by-step explanation:

A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plus an additional $0.07 for each minute of calls

For what amount of calling do the two plans cost the same?

Let the each minute of calls be 'x'.

So, for plan A would be

plan A cost $9 Plus And additional 0.12 $ for each minute of calls is expressed as

y_1=9+0.12x

Plan B cost $27 plus an additional $0.07 for each minute of calls is expressed as

y_2=27+0.07x

According to question, it becomes,

y_1=y_2\\\\9+0.12x=27+0.07x\\\\0.12x-0.07x=27-9\\\\0.05x=18\\\\x=\dfrac{18}{0.05}\\\\x=360

Hence, they will charge same amount for 360 minutes of calls.

5 0
3 years ago
Solve the equation. Check your solution.
Varvara68 [4.7K]

Answer:

17/7

Step-by-step explanation:

2g+2(-8+2g)=1-g

2g-16+4g=1-g

6g-16=1-g

6g-(-g)-16=1

6g+g=1+16

7g=17

g=17/7

8 0
2 years ago
Select the best answer for the question
kozerog [31]
X=9 this is the answer for question 19

6 0
3 years ago
How do you do this question?
IRINA_888 [86]

Answer:

∑ (-1)ⁿ⁺³ 1 / (n^½)

∑ (-1)³ⁿ 1 / (8 + n)

Step-by-step explanation:

If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.

Option A: (-1)²ⁿ is always +1.  So an =│an│and both series converge (absolutely convergent).

Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).

Option C: an = 1 / n³ isn't an alternating series.  So an =│an│and both series converge (p series with p > 1).  This is absolutely convergent.

Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series.  bn = 1 / (8 + n), which diverges.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

5 0
3 years ago
How to draw a line that passrs through the origion and has a slope of 2/3?
Tcecarenko [31]
The origin is (0,0)

y = mx + b
slope(m) = 2/3
(0,0)...x = 0 and y = 0
now we sub and find b, the y int
0 = 2/3(0) + b
0 = b

so ur equation is y = 2/3x + 0...or just y = 2/3x
6 0
3 years ago
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