All categories

3 years ago

Drag the expressions into the boxes to correctly complete the table.

Mathematics

1 answer:

mel-nik [20]3 years ago

7 0

Answer:

see below

Step-by-step explanation:

A polynomial is a sum of terms, each of which is the product of a constant and some constellation of variables to integer non-negative powers. Anything with a variable in a denominator, a non-linear function such as absolute value, or square root (a fractional power) will not be a polynomial.

The constants in a polynomial may be rational or irrational. The polynomials we generally study are ones with real coefficients, but there is no reason why the coefficients could not be complex numbers.

You might be interested in

205 of the 550 people travel further than sam. Estimate how far same travels?

Marrrta [24]

There is no distance amount so I’m going to assume the question is asking how many more people traveled farther than Sam...
So 250/550=about 37% of them

5 0

3 years ago

Savannah earns $247.00. How many hours did she work?

vivado [14]

Answer:

1. 8.25

2. Savannah

Earnings of Savannah: $190

Earnings of Greg: $180

Earnings of Kevin: $165

4. 26 Hours

5. 55.55 hours (or 56 hours)

Step-by-step explanation:

Full Question Shown in the Image Attached.

Constant of Proportionality is the constant value (k) of two proportional quantities.

Here, it is hours vs. wage.

It is usually y divided by x.

In this problem, hours worked is "x" and wage is "y". We can take the first row of Kevin's wages from table and find the constant of proportionality.

$\frac{Wage}{Hour}=\frac{16.5}{2}=8.25$

Thus, the constant of proportionality is 8.25

We can find the highest hourly wage by first finding the unit rate, or the hourly wage for each person. Then we will compare between the 3 person.

For Savannah:

We divide the total wage (Earned Column) divided by Hours.

$\frac{19}{2}=9.5$

Hourly wage is 9.5

For Greg:

We do the similar division shown below:

$\frac{27}{3}=9$

Hourly wage is 9

For Kevin:

Again, doing the same process, we get:

$\frac{16.5}{2}=8.25$

Hourly wage is 8.25

By comparing the hourly wages of 3 people, we see that the highest hourly wage is that of Savannah's.

We know hourly wage for each person. To know how much each one makes if they work 20 hours, we have to multiply 20 with their respective hourly wages.

Earnings of Savannah: 20 * 9.5= $190

Earnings of Greg: 20 * 9 = $180

Earnings of Kevin: 20 * 8.25 = $165

Since she earn's $247 and her hourly wage is 9.5, we can find the hours she worked by dividing her earnings (247) by the hourly wage (9.5). Hence,

$\frac{247}{9.5}=26$

Thus, Savannah worked 26 hours

For Greg to earn 500 dollars, we need to divide his earnings (500) by his hourly wage, which is $9 per hour. Thus we have:

$\frac{500}{9}=55.55$

So, Greg needs to work 55.55 hours to earn $500. If fractional hours are not possible, then Greg needs to work 56 hours.

7 0

3 years ago

At the end of January of last year, stock A was selling at A dollars a share, and stock B was selling a B dollars a share, where

Maslowich

Answer: a) yNA/100

b) NA(y-x)/100

c) (NA)/B

Step-by-step explanation:

a) The total amount of dollars owned by the shares' owner = N number of shares × A dollars per share = NA dollars

This total is then transferred to buy B shares which then appreciates by y%.

The amount of increase in portfolio from January to June = y% of total dollars invested = y% of NA dollars = yNA/100

b) If the shares were left with A, the increase in portfolio from January to June would be x% and = x% of the total Dollar amount = x% of NA dollars = xNA/100

How much more money made in that time would be the difference in interest, between taking the dollars to invest in share B or keeping the dollars on investment A

That is, (yNA/100) - (xNA/100) = NA(y-x)/100

c) Total dollars available after sale of the A stock = NA

Number of B stock this dollar can buy = Total dollars available/amount of B stock per share

That is, (NA)/B

QED!

3 0

3 years ago

Flora Kenyon made a deposit of $1,600 to her savings account on July 1. For the next year she made no other deposits or withdraw

Drupady [299]

Answer:

A = $1,650.24

Step-by-step explanation:

A = P(1 + r/n)^nt

Where

A = future value

P = present value = $1,600

r = interest rate = 3.1% = 0.031

n = number of periods = 4

t = time = 1 year

A = P(1 + r/n)^nt

= 1,600( 1 + 0.031 / 4)^4*1

= 1600( 1 + 0.00775)^4

= 1600(1.00775)^4

= 1600(1.0314)

= 1,650.24

A = $1,650.24

3 0

3 years ago

Y = 4x + 2 y = -2x - 4

BlackZzzverrR [31]

Answer:

x = −1

y = −2

6 0

3 years ago