All categories

3 years ago

Marjorie evaluated the expressions 3x+2 for x equals 5 as shown: 3x+2=35+2=37. What was morjories mistake?

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

4 0

By looking at this it doesnt look like she had any mistakes

You might be interested in

The rate of change in sales for Garmin from 2008 through 2013 can be modeled by

Zina [86]

Answer:

a) The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

$S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt$

$S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C$ (1)

Where $C$ is the integration constant.

If we know that $t = 9$ and $S(t) = 2.9$ , then the model for the sales of Garmin is:

$-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9$

$C = 47.112$

The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of the Garmin from 2008 through 2013 ( $\bar{S}$ ) is determined by the integral form of the definition of average, this is:

$\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt$ (2)

$\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt$

$\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]$ $\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)$

$\bar{S} = 2.5$

The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

7 0

3 years ago

You wish to buy an eraser that costs $0.50, a pencil that costs $1.00, and a notebook that costs $1.75. The sales tax is 6%. Wha

icang [17]

3.45 is the right answer

4 0

3 years ago

32 envelopes + 15 postcards = $47.11

sweet [91]

See photo

Hope it helps

3 0

3 years ago

PLEASE HELP QUICKLY IF YOU CAN!

Anastasy [175]

Answer:

6 - $(\frac{2}{3} )^{2} =$ $\frac{50}{9}$

3² - $(\frac{2}{3} )=$ $8\frac{1}{3}$

7 - $(\frac{1}{2} )^{3}$ = $\frac{55}{8}$

Step-by-step explanation:

1. 6 - $(\frac{2}{3} )^{2}$

First, apply the exponent to 2/3. Because it's to the second power, multiply 2/3 by itself.

$(\frac{2}{3} )^{2}=\frac{4}{9}$

6 - $\frac{4}{9}$

Now, subtract.

6 - $\frac{4}{9}$ = $\frac{50}{9}$

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

2. 3² - $\frac{2}{3}$

First, apply the exponent.

3² = 9

9 - $\frac{2}{3}$

Now, subtract.

9 - $\frac{2}{3}=\frac{25}{3}$

$\frac{25}{3} =8\frac{1}{3}$

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

3. 7 - $(\frac{1}{2} )^{3}$

First, apply the exponent.

$(\frac{1}{2} )^{3}$ = $\frac{1}{8}$

7 - $\frac{1}{8}$

Now, subtract.

7 - $\frac{1}{8}=\frac{55}{8}$

hope this helps!

4 0

2 years ago

Jill is weighing between two job offers. Job offer 1, would pay her a base salary of

Mariana [72]

Answer:

a 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 meters

6 0

2 years ago