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3 years ago

−3a2 − b3 + 3c2 − 2b3 if a = 2, b = −1, and c = 3.

1 answer:

5 0

((−3)(2))(2)−(−1)(3)+(3)(3)(2)−(2)(−1)(3)

=(−6)(2)−(−1)(3)+(3)(3)(2)−(2)(−1)(3)

=−12−(−1)(3)+(3)(3)(2)−(2)(−1)(3)=−12−(−3)+(3)(3)(2)−(2)(−1)(3)

=−9+(3)(3)(2)−(2)(−1)(3)

=−9+(9)(2)−(2)(−1)(3)

=−9+18−(2)(−1)(3)

=9−(2)(−1)(3)

=9−(−2)(3)

=9−(−6)

=15

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Please answer! I’ll give you Brainliest

Sergio [31]

The four small squares are all 3x3, so the perimeter is 3+3+3+3 = 12.

12 * 4 = 48

We can find the perimeter of the large diamond shape using the Pythagorean theorem, a^2 + b^2 = c^2

a = 4

b = 4

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c = 5.65685425

So the perimeter of the large diamond shape is

5.65685425+5.65685425+5.65685425+5.65685425 = 22.627417

48+22.6 = 70.6

The areas of the small squares are 3x3 = 9

9 * 4 = 36

The area of the large diamond shape is

5.65685425 * 5.65685425 = 32

36 + 32 = 68

4 0

2 years ago

In a certain Algebra 2 class of 26 students, 7 of them play basketball and 13 of them play baseball. There are 10 students who p

Aloiza [94]

Answer:

4/26

0.1538461

Step-by-step explanation:

8 0

3 years ago

0.60 gal to 0.12 gal as a fraction

adell [148]

Answer:

0.60 gal to 0.12 gal can be rewritten as:

$\frac{0.60}{0.12} =\frac{0.6}{0.6(0.2)} =\frac{1}{0.2}$

$\frac{1}{0.2}*1=\frac{1}{0.2}*\frac{10}{10} =\frac{10}{2} =5$

6 0

1 year ago

The cost for two different companies to make x candles is shown on the graph.

tia_tia [17]

Answer:

D) Quick Wick will make more candles when the cost is $600.

Step-by-step explanation:

Find the initial value (b) and the cost per candle (m), to write the equation of each line in the slope-intercept form, y = mx + b. This will help for easy comparison.

✔️Wax Art:

m = change in y/change in x

Using (10, 140) and (20, 180),

m = (180 - 140)/(20 - 10) = 40/10

m = 4

Cost per candle = $4

To find b, substitute (x, y) = (10, 140) and m = 4 into y = mx + b

140 = 4(10) + b

140 = 40 + b

140 - 40 = b

100 = b

b = 100

Initial value = $100

To get the equation, substitute m = 4 and b = 100 into y = mx + b

y = 4x + 100

✔️Quick Wick:

m = change in y/change in x

Using (10, 120) and (30, 180),

m = (180 - 120)/(30 - 10) = 60/20

m = 3

Cost per candle = $3

To find b, substitute (x, y) = (10, 120) and m = 3 into y = mx + b

120 = 3(10) + b

140 = 30 + b

120 - 30 = b

90 = b

b = 90

Initial value = $90

To get the equation, substitute m = 3 and b = 90 into y = mx + b

y = 3x + 90

Let's analyse each option given using the information we now have:

✔️Option A: INCORRECT

Cost per candle for made is $1 less for Quick Wick. I.e. cost per candle for Quick wick is $3. Cost per candle for Wax Art is $4.

✔️Option B: INCORRECT

Difference between the initial value sof the two companies = $100 - $90 = $10

✔️Option C:

Find the cost of making 50 candles for each company by substituting x = 50 into each of their equations. Thus:

Wax Art => y = 4x + 100

y = 4(50) + 100

y = $300

Wax Art will make 50 candles for $300

Quick Wick => y = 3x + 90

y = 3(50) + 90

y = $240

Quick Wick makes 50 candles for $240

As we can see, Quick wick is making 50 candles at a lower cost than Wax Art.

Therefore, option C is INCORRECT.

✔️Option D: find out how many candles (x) each company will make when the cost is $600.

Substitute y = 600 in each equation of both companies

Wax Art => y = 4x + 100

600 = 4x + 100

600 - 100 = 4x

500 = 4x

500/4 = x

x = 125 candles

Quick Wick => y = 3x + 90

600 = 3x + 90

600 - 90 = 3x

510 = 3x

510/3 = x

x = 170 candles

Quick Wick will make more candles when he cost is $600.

Therefore, option D is the only CORRECT statement of comparison.

6 0

2 years ago

Tara had $350 in her bank account she received three birthday checks for $35 each and but bought two new video games for $41 eac

goldfiish [28.3K]

We conclude that the final amount that she has in her bank account is $375.

<h3>How much has Tara in her bank account now?</h3>

Here we need to perform some additions and subtractions. We know that Tara starts with $350 in her account.

Then she received 3 checks for $35 each, so at this point she has:

$350 + 3*$35 = $455

Now she buys 2 video games for $41 each, so we need to subtract two times $41, we will get:

$455 - 2*$41 = $375

We conclude that the final amount that she has in her bank account is $375.

If you want to learn more about additions and subtractions:

brainly.com/question/25421984

#SPJ1

6 0

1 year ago