Just need to know what x is

Select all the expressions with accurately written descriptions.

Paha777 [63]

Let's try to divide the sentence into multiple parts and then combine it one by one to make it easier to understand.

1. True
2 times y and 6 -------->(2y+6)
the square of the sum of "2 times y and 6" -------->(2y+6)^2
8 times "the square of the sum of 2 times y and 6"------> 8(2y+6)^2

2. True
the difference of x and 7 -------->(x-7)
9 and x -------->(9 + x)
2 times the product of the sum of
"9 and x" and "the difference of x and 7"-------> 2(9 + x) (x-7)

3. True
difference of 5 times x and 3 -------->(5x-3)
the square of the difference of 5 times x and 3------->(5x-3)^2

4. False
The description should be: the product of 7 and the square of x
the product of 7 and x -------->(7x)
the square of the product of 7 and x -------->(7x)^2

5. True
This one should be clear as it was one sentences
the sum of y squared(y^2) and three times y(3y) minus 4-------->y^2+ 3y -4

6. False
The description should be: the product of 5 and 8 times the square of x plus the sum of 20x and 8
the sum of 20x and 8 -------->20x+8
8 plus the square of x plus the sum of 20x and 8-------->8+ x^2 +20x+8
the product of 5 and.... ------->(5)(........
the product of 5 and
8 plus the square of x plus the sum of 20x and 8---->(5)(8+ x^2 +20x+8)

5 0

3 years ago

Read 2 more answers

CAN SOMEONE PLEASE HELP I NEED THESE LAST TWO I NEED TO TURN IT IN

kirza4 [7]

Answer: a. Area b. 4222.26

6 0

3 years ago

Which simplified fraction is equal to 0.53? 1) 24/45 2) 8/15 3) 48/90 4) 5/9

Shalnov [3]

To express a decimal number (with a finite decimal expression) in a fraction, you work like this: the numerator is the number without decimale separator (you simply pretend it's not there), while the denominator will be $10^n$ , where n is the number of digits after the decimal separator.

So, in your case, the number without decimal separator is 53, and you have two digits after the decimal separator, so the fraction will be

$0.53 = \cfrac{53}{10^2} = \cfrac{53}{100}$

which is irreducible.

6 0

3 years ago

Read 2 more answers

If Tanisha has $nbsp 100 100 to invest at 66% per annum compounded semiannuallysemiannually, how long will it be before she h

Oxana [17]

Answer:

time is 6.76 years

Step-by-step explanation:

given data

amount = $150

payment = $100

rate r = 6% = 0.06

to find out

time period t

solution

we know it is compounding continuous

so we will apply here formula that is

amount = payment × $e^{rt}$ ..........1

put here all value we get

amount = payment × $e^{rt}$

150 = 100 × $e^{0.06t}$

take ln both side

ln 1.5 = $e^{0.06t}$

0.40546 = 0.06t

t = 0.40546 / 0.06

t = 6.76

so time is 6.76 years

7 0

3 years ago

A local artist working at the town fair makes caricatures and portraits. The caricatures cost $4 to make white

il63 [147K]

Answer:

The artist should make 15 caricatures and 30 portraits.

Step-by-step explanation:

First, we identify the variables for the problem. In this case, the variables will be:

C=number of caricatures

P= number of portraits.

Next, we can use the variables to make the inequalities that constrain the problem.

We know the artist can't spend more than $360 for supplies and we also know that it costs $4 to make a caricature and $10 to make a portrait, so:

$4C+10P\le 360$

We also know the artist has a limit of time of 20 hours, which is the same as 20*60=1200 minutes to paint. We know it takes her 20 minutes to make a caricature and 30 minutes to make a portrait, so:

$20C+30P\le 1200$

and we also know she must make a positive number of caricatures and a positive number of portraits so the other two constrains are:

$C\ge 0$

$P\ge 0$

So we can go ahead and graph them. (see attached picture)

Once we graphed the inequalities we can determine what the corners of the polygon created by the intersection of the shaded areas are, so we proceed and calculate them:

first point:

(0,0)

second point:

4(0)+10P=360

$P=\frac{360}{10}$

P=36

(0,36)

Third point:

20C+30(0)=1200

$C=\frac{1200}{20}$

C=60

(60,0)

Fourth point:

$4C+10P = 360$

$20C+30P = 1200$

We multiply the first equation by -5 so we get:

-20C-50P=-1800

20C+30P=1200

------------------------

-20P=-600

P=30

so:

20C+30(30)=1200

20C=1200-900

20C=300

C=15

(15,30)

Once we found the 4 points, we go ahead and evaluate them for the objective function. In this case, the objective function is the total amount of money she got from selling the pieces of art, so we get:

I=10C+20P

Point 1

I=10(0)+20(0)=0

Point 2

I=10(0)+20(36)=720

Point 3

I=10(60)+20(0)=600

Point 4

I=10(15)+20(30)=750

Next, we look for the greatest income which in this case will be 750 so that's why she must make 15 caricatures and 30 Portraits.

8 0

3 years ago