What multiplies to be -42 and adds to be 19?

Answers

Answer 1
Answer: 21 and -2
21x-2=-42
21+-2=19

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1.A wedding planner uses 72 ivy stems for 18 centerpieces. When she arrives at the venue, she realizes she will only need 16 centerpieces. How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same?

Answers

Answer:

64 ivy stems.

Step-by-step explanation:

Given:

A wedding planner uses 72 ivy stems for 18 centerpieces.

When she arrives at the venue, she realizes she will only need 16 centerpieces.

Question asked:

How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same?

Solution:

As wedding planner uses 72 ivy stems for 18 centerpieces:

Ratio of ivy stems to centerpieces = (72)/(18)

As she realizes that she needs only 16 centerpieces:

Let ivy stems should be used to stays the ratio same = x

Now, to do the ratio same:-

Old ratio = (72)/(18)

New ratio = (x)/(16)

To do the ratio same:-

(72)/(18)=(x)/(16) \n

By cross multiplication:

18x=72*16\n18x=1152

Dividing both sides by 18

x=64

Therefore, 64 ivy stems she should use so that the ratio of ivy stems to centerpieces stays the same.

The function f(x) = 5()x is reflected over the y-axis. Which equations represent the reflected function? Check all that apply.f(x) = (5)x

f(x) = (5)–x
f(x) = ()x
f(x) = 5()–x
f(x) = 5(5)x
f(x) = 5(5)–x

Answers

Key term "Reflected", which is equivalent to "inverse". This means that the graph, although remains with the same points, is "reflected". Think of a mirror. 
Say y = m(x). The reflected result is y = -m(x). Or in another case, y = m(-x) will be reflected to y = m(x). 
Lets break this rule further. Say your point was (a,b) which is code for (x,y). If we're looking at the x-axis, the y becomes negative. Henceforth, it becomes (x,-y) and vice versa. 
In this case, we're looking at the y-axis reflected, meaning, the x-value will be NEGATIVE. 

Answer is C: m(x) - 5() -x This can be seen as m(x) = m(-x) as well.

Answer:

The correct option is D.  f(x) = 5()-x

Step-by-step explanation:

If a function f(x) is reflected over axis then the resultant equation of the function f(x) changes to f(-x)

Now, in the given problem the function is given to be : f(x) = 5()x

So, if we reflect the given function f(x) over the y- axis then the equation of the function changes to f(-x)

Hence, The required reflected equation of the given function f(x) is 5()-x

Therefore, The correct option is D.  f(x) = 5()-x

A major concern with Social Security is the possibility that funds will not be available when today’s tax-payers retire to become beneficiaries. According to the Social Security Trustee’s report, an increase of 1.89% in the Social Security payroll tax would keep the account full for the next 75 years. To achieve similar results, benefits would have to be decreased from the current 42% of the ending salary to 29% of the salary.Cindy is relatively new to the workforce. She has 32 years until she can retire. Her current annual salary is $45,000.

1a) Calculate how much Cindy will have to pay in Social Security tax (6.2%) based on this salary.
1b) Calculate how much Cindy will have to pay in Social Security tax if the tax was increased by 1.89%.

2a) Calculate Cindy’s annual Social Security benefit (about 42%) if her salary remains unchanged until she retires (annual average is $45,000).
2b) Calculate Cindy’s annual Social Security benefit if her salary remains unchanged but benefits (based on her annual salary of $45,000) were cut from 42% to 29%.

3) If Cindy were given a choice between the increase in Social Security tax now or the decrease in Social Security benefits when she retires, which would you recommend she choose? Explain your answer thoroughly.

Answers

1a) 45,000 * 6.2% = 2,790
1b) 45,000 * (6.2% + 1.89%) = 45,000 * 8.09% = 3,640.50

2a) 45,000 * 42% = 18,900
2b) 45,000 * 29% = 13,050

3) I think it would be better to have an increase in Social Security tax now and receive 18,900 as annual pension rather than the decrease in Social Security benefits when she retires.

Answer:

1a) $45,000 * 0.062 = $2,790

1b) 6.2% + 1.89% = 8.09%;  $45,000 * 0.0809 = $3640.50

2a) $45,000 * 0.42 = $18,900

2b) 42% - 13% = 29% $45,000 * 0.029 = $13,050

3) You should probably recommend she pay the extra taxes now. If the tax were increased by 1.89%. Cindy would have to pay an extra $3640.50 - $2,790 = $850.50 per year for the 32 years before she retires. This adds up to $27,216 over the length of 32 years. On the other hand, if benefits were decreased from 42% of her salary to 29% of her salary the time of Cindy’s retirement (approximations), she would receive $18,900 - $13,050 = $5,850 less per year after she retires. This adds up to $58,500 in just 10 years.

Step-by-step explanation:

This is the answer they have given me.

The solids are similar. Find the surface area S of the red solid.

Answers

Answer:

756 m²

Step-by-step explanation:

The surface area is the function of 2 dimensions.

Scale factor is

  • 6/4 = 1.5

Surface are for the bigger solid will be 1.5*1.5 times the area of the smaller one

  • S = 336*1.5*1.5 = 756 m²

Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measurements is 36.What is the standard deviation from the mean

Answers

Given:
data set : 20 numbers
variance : 36

Find the standard deviation from the mean.

If the variance is already provided, we simply find the square root of the variance to get the standard deviation.

Standard deviation = √36 = 6

The standard deviation of the data from the mean is √variance, which is: 6.

What is Standard Deviation?

The standard deviation can be gotten by finding the square root of the variance of the data. That is, Standard deviation = √variance.

Given the following:

Variance = 36

Standard deviation = √36

Standard deviation from the mean = 6

Learn more about the standard deviation on:

brainly.com/question/475676

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Change the fraction 3 /4 to a percent. A. 63% B. 133% C. 75% D. 34%

Answers

3/4 to be converted in fraction.
Based on the choices, let's solve for the percentage form of 3/4
=> First divide 3 by 4
=> 3 / 4 =  0.75
0.75 to be converted to percentage form
=> 0.75 * 100% = 75%
The answer is c.