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AnnyKZ [126]
3 years ago
11

Match the inequality with its line graph.

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

The answer to your question is below

Step-by-step explanation:

A) 2x > -6

   x > -6/2

   x > -3

   It must be a graph with an open circle starting at -3 and then to the right.

   It is the first graph.

B) x - 4 < -7

   x < -7 + 4

  x < -3

  The graph must be an open circle starting at -3 and pointing to the left.

  it is the second graph.

C) 6 + x ≤ 3

    x ≤ -6 + 3

    x ≤ -3

   The graph must be a closed circle starting at -3 and pointing to the left.

   it is the forth graph.

D) -x - 5 ≤ -2

    -x ≤ -2 + 5

   - x ≤ 3

     x ≥ -3

    The graph must be a closed circle starting at -3 and pointing to the right.

    It is the third graph.

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Setler79 [48]

Answer:

A) 65 degrees

B) 89 degrees

Step-by-step explanation:

Complementary angles always add up to 90 degrees whereas supplementary angles always add up to 180 degrees

Hope it helps :)

5 0
3 years ago
Samir is trying to decide between two checking account plans. After researching plans at two banks, he finds that Unity Bank off
GREYUIT [131]

Answer:

The monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

Step-by-step explanation:

<em>Step 1 : Write the formula for calculating a monthly compound interest rate and for calculating an annually compounded interest rate.</em>

Monthly compound interest rate = P(1+r/n)^nxt

<em>n=12 (number of months in a year)</em>

<em>t=1 (number of years)</em>

Annually compound interest rate = P(1+r/n)^nxt

<em>n=1 (because it is for 1 year only)</em>

<em>t=1 (number of years=1)</em>

<em>Step 2 : Lets assume that P is $100 in both banks and time is 1 year.</em>

<em>Step 3 : Lets substitute the values to find out which one is better.</em>

Monthly compound interest rate = P(1+r/n)^nxt

Monthly compound interest rate = 100(1+0.14/12)^12x1

Monthly compound interest rate = 114.93

114.93 - 100 = $14.93 per month

14.93 x 12 = $179.16 for 12 months or 1 year

Annually compound interest rate = P(1+r/n)^nxt

Annually compound interest rate = 100(1+1.6/1)^1x1

Annually compound interest rate = 260

260-100 = $160 for 1 year

Therefore, the monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

!!

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