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yuradex [85]
4 years ago
11

What is the geometric mean between 7 and 9?

Mathematics
2 answers:
Leni [432]4 years ago
6 0
Geometric mean= √ ( 7 X 9)= √63
= 3√7
iren2701 [21]4 years ago
4 0
7+9 = 13 
13 divided by 2 equals 6.5
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The x-intercepts and vertex
Veronika [31]

( - 6, 0).(2, 0 ) , vertex = ( - 2, - 16)

to find the x-intercepts set f(x) = 0

x² + 4x - 12 = 0

(x + 6)(x - 2) = 0 ( equate each factor to zero and solve for x )

x + 6 = 0 ⇒ x = - 6

x - 2 = 0 ⇒ x = 2

x- intercepts are ( - 6, 0),(2, 0)

given the quadratic in standard form : y = ax² + bx + c

the x-coordinate of the vertex = - \frac{b}{2a}

here a = 1 , b = 4 and c = - 12

x- coordinate of vertex = - \frac{4}{2} = - 2

substitute this value into the equation for y-coordinate

x = - 2 → y = 4 - 8 - 12 = - 16

vertex = ( - 2, - 16)


5 0
4 years ago
9) The following rainfall amounts were recorded: June 2 1/2 inches, July 3 1/4 inches, August 4 1/5
castortr0y [4]

The average rainfall for the four months is 3 27/40 inches

<h3>How to find the average rainfall for the four months?</h3>

The rainfall amounts are given as:

June 2 1/2 inches, July 3 1/4 inches, August 4 1/5 and September 4 3/4 inches.

The average rainfall for the four months is calculated as:

Average = Sum of rainfall/Number of months

So, we have

Average = (2 1/2 + 3 1/4 + 4 1/5 + 4 3/4)/4

Evaluate the sum

Average = (14 7/10)/4

Evaluate the quotient

Average = 3 27/40

Hence, the average rainfall for the four months is 3 27/40 inches

Read more about average at:

brainly.com/question/20118982

#SPJ1

3 0
2 years ago
Express 4.3242424.... in vulgar fraction
aalyn [17]

Let x = 4.3242424…

Then

10x = 43.242424…

1000x = 4324.242424…

so that we can chop off the fractional part with

1000x - 10x = 4324.242424… - 43.242424…

990x = 4281

x = 4281/990 = 1427/330

4 0
2 years ago
Please help me out and find BOTH values of x and y​
Montano1993 [528]

Answer:

y=37 x= 5or 4

Step-by-step explanation:

3 0
3 years ago
Jim and Stephanie just got married and are thinking about changing their health care insurance plans to be more affordable. Curr
insens350 [35]

Answer:

Option B is correct.

Stephanie should add Jim to her health care plan.

Step-by-step explanation:

Let's take the options one by one.

Option 1

If Jim's employers insure him and his wife.

Jim’s employer pays 42% of his $378 monthly premium. His insurance plan will also pay for 23% of the $345 premium for additional beneficiaries.

It means Jim will pay (0.58 of $378) for himself plus (0.73 of $345) for his wife.

Amount Jim pays = (0.58 × 378) + (0.73 × 345) = $471.09

Option 2

If Stephanie's employers insure both of them.

Stephanie’s employer pays 35% of her $298 monthly premium but offers to pay an extra 10% of her premium for each beneficiary Stephanie adds to her plan. Her employer would then pay 30% of the $349 premium for each additional beneficiary.

It means Stephanie would pay (0.65 of $298) she'll pay for herself plus (0.70 of $349) she'll pay for her husband minus (10% of $298) that her company wants to pay out of the insurance fee of any of her additional beneficiary.

Amount Stephanie will pay = (0.65 × 298) + (0.70 × 349) - (0.10 × 298) = $408.2

Option 3

If each of them does an insurance plan with their respective employers

Jim’s employer pays 42% of his $378 monthly premium.

Stephanie’s employer pays 35% of her $298 monthly premium

Jim would pay (0.58 × $378) for himself = $219.24

Stephanie would pay (0.65 × $298) for herself = $193.7

Total they would pay in this option = $219.24 + $193.7 = $412.94

Of all the three options, the option that minimizes their expenses is when Stephanie insures herself and Jim with her employers for a total cost of $408.2 compared to a total cost of $471.09 if Jim insures the two of them with his employers or $412.94 if they respectively insure each other with their respective employers.

Hope this Helps!!!

7 0
4 years ago
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