Use the expansion of (4x+3)^3 to find the exact value of (4.02)^3

Antoinette solves the linear equation 3(x-3)+2x+9 - 2x+ 2(x-1) using the steps shown below.

Oxana [17]

Step-by-step explanation:

3(x - 3) + 2x + 9 - 2x + 2(x - 1)

3x - 9 + 2x + 9 - 2x + 2x - 2

Solving like terms

5x - 2

5x = 2

x = 2/ 5

I think she incorrectly applied the multiplication and division properties of equality

4 0

3 years ago

Read 2 more answers

Jacob invested $500 in a stock and after a year had $596. what was Jacobs rate of return?

NNADVOKAT [17]

Answer:

Jacob's rate of return is 19.2%.

Step-by-step explanation:

Given:

Jacob invested $500 in a stock and after a year had $596.

Now, to find the rate of return.

So, we get the amount of return first:

Present value - value before a year = Return.

$596 - $500 = $96.

Now, to get the rate:

Return / Value before a year × 100.

$=\frac{96}{500}\times 100$

$=\frac{9600}{500}$

$=\ 19.2\%.$

Therefore, Jacob's rate of return is 19.2%.

4 0

3 years ago

Complete the expression that represents the table Y=___x

bezimeni [28]

Answer:

The equation that represents the table is:

$y=\frac{9}{2}x$

Step-by-step explanation:

Taking two points from the table

(2, 9)

(4, 18)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:9\right),\:\left(x_2,\:y_2\right)=\left(4,\:18\right)$

$m=\frac{18-9}{4-2}$

$m=\frac{9}{2}$

As the slope-intercept form is

$\:y=mx+b$

Plugging (2, 9) to find the y-intercept 'b'

$9=\frac{9}{2}\left(2\right)+b$

$\mathrm{Switch\:sides}$

$\frac{9}{2}\left(2\right)+b=9$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$\frac{9}{2}\cdot \:2+b=9$

$9+b=9$

$b=0$

so the equation becomes

$\:y=mx+b$

$m=\frac{9}{2}$

$b=0$

$y=\frac{9}{2}\left(x\right)+0$

$y=\frac{9}{2}x$

Therefore, the equation that represents the table is:

$y=\frac{9}{2}x$

The graph of the equation is also attached below.

6 0

3 years ago

Write 1 1/8 miles in 3/8 hour as a unit rate help pleaseee

leonid [27]

Answer:

3mi/hr , 3 miles per hour or 3mph

Step-by-step explanation:

so you want to find how manu milesin an hour.

first you need to gind how many miles in jsut 1/8 of the hour

so what we have is for 3/8 of an hour so divide what we have by 3

9/8 divided by 3 = 3/8 of a mile in 1/8 of an hour.

multiple this by 8 to get what equals in 1 hr

3/8*8 = 24/8 simplified to 3.

3 miles per hour

7 0

2 years ago

NEED HELP 3. Jessica is paid hourly and normally works from 8:00 am to 4:00pm . Her pay for the day is $56. If Jessica works 40

zloy xaker [14]

Jessica will earn e. $301 for working 40 hours in a week plus 2 hours of overtime.

Step-by-step explanation:

Step 1:

Jessica gets paid $56 for working from 8.00 am to 4.00 pm.

So she gets paid $56 for working for 8 hours.

We need to determine how much she gets paid for 1 hour.

Jessica's hourly salary $=\frac{56}{8}.$

So Jessica gets paid $7 for every hour she works.

Step 2:

If Jessica worked for 40 hours, she will earn: $7(40) = 280.$

If she works 2 hours of overtime and she gets paid 1.5 times the hourly rate, then

Jessica's salary for each overtime hour $= (7)(1.5) = 10.5.$

Jessica's salary for 2 overtime hours $=2(10.5) =21.$

Her total salary $= 280+21 = 301.$

So Jessica will earn $301 for working 40 hours in a week plus 2 hours of overtime which is option e.

5 0

3 years ago