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Pie
2 years ago
12

Solve for x. 4x^2 − 40x + 94 = 0

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
8 0

Answer: x = 41.22 and 38.78

Step-by-step explanation:

Given the equation

4x² - 40x + 94 = 0

Using the general formula

x = -b+/-√b²-4ac/2a

Where a = 4, b= -40 c= 94

x = -(-40)+/-√(-40)²-4(4)(94)/2(4)

x = 40+/-√1600-1504/8

x = 40 +/-√96/8

x = 40 +/-9.8/8

x = 40+/-1.22

x= 40+2.22 = 41.22

and x = 40 -1.22

x = 38.78

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Jim and Jackie are married with three children at home and a mortgage. Jim’s net pay per year is $67,000 and Jackie does not hav
rodikova [14]

The correct option is that they should work on their plan for managing income.

<h3>How to illustrate the information?</h3>

Given that Jim and Jackie are married with three children and have a home at mortgage.

The net pay per year of Jim is $67,000 and Jackie do not earn at all. The mortgage expenses and monthly expenses are

$(2,800+2,700) = $5,500, not much as compared to the total income.

Also, Jim contributes 15% of his income , i.e., $10050 into the retirement fund and also they have savings of $5,000.

In addition, there is a $500,000 life insurance policy on Jim and a $100,000 policy on Jackie.

Therefore, looking at all of these, it can be concluded that the net income of Jim per year is not bad at all to manage the expenses, they just have to work on it little more to run the family smoothly.

Thus, the correct option is that they should work on their plan for managing income.

Learn more about income on:

brainly.com/question/25745683

#SPJ1

Complete question:

Jim and Jackie are married with three children at home and a mortgage. Jim’s net pay per year is $67,000 and Jackie does not have income. Their mortgage payment of $2,800 includes insurance on their home. They have additional monthly expenses of $2,700. Jim contributes 15% of his earnings to a retirement fund and they have $5,000 in savings. There is a $500,000 life insurance policy on Jim and a $100,000 policy on Jackie. As their financial advisor, what part of Jim and Jackie’s financial plan would you encourage them to work on? a. They should work on their plan for managing income. b. They should work on their plan for managing their liquidity. c. They should work on their plan for protecting their assets. d. They should work on their plan for protecting their income.

3 0
1 year ago
Please help!! thank you.
Zina [86]

(A) Product of -2x^{3}+x-5 and x^{3}-3x-4 is:

(-2x^{3}+x-5)(x^{3}-3x-4)

=-2x^{3}(x^{3}-3x-4)+x(x^{3}-3x-4)-5(x^{3}-3x-4)

=(-2x^{3})(x^{3})+(-2x^{3})(-3x)+(-2x^{3})(-4)+x(x^{3})+(x)(-3x)+(x)(-4)+(-5)(x^{3})+(-5)(-3x)+(-5)(-4)

=-2x^{6}+6x^{4}+8x^{3}+x^{4}-3x^{2}-4x-5x^{3}+15x+20

=-2x^{6}+6x^{4}+x^{4}+ 8x^{3}-5x^{3}-3x^{2}-4x+15x+20

=-2x^{6}+7x^{4}+3x^{3}-3x^{2}+11x+20

(B) Yes.

Product of -2x^{3}+x-5 and x^{3}-3x-4 = Product of x^{3}-3x-4 and -2x^{3}+x-5 because multiplication is commutative.

Commutative Property of multiplication says that a.b = b.a.

Thus, multiplication is same irrespective of the order of two numbers.



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3 years ago
The table below shows the sale, in dollars, at Jacobs store over a period of five months:
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The answer is B) Exponentially, shows a constant percentage in sales per month
4 0
3 years ago
Read 2 more answers
What are the relationships between inscribed, central, and circumscribed angles of a circle?
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Answer:

Topics include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Common Core: HSG-C.A.2

Step-by-step explanation:

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8 0
2 years ago
Help please
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Answer:

  • B. When the peak temperature is 40°C, 72 units of electricity are used on average.

Step-by-step explanation:

We see the relationship is closer to linear in the interval 30 to 40

<u>Approximate points:</u>

  • (30, 34) and (34, 54)

<u>The slope of the line:</u>

  • m = (54 - 34)/(34- 30) = 20/4 = 5

<u>The line is:</u>

  • y - 34 = 5(x - 30)
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<u>At x = 40, the value of y would be:</u>

  • y = 5*40 - 116 = 84

The closet option is B

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2 years ago
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