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3 years ago

What is the value of 6a + 2b if a = 1 and b = 2?

Mathematics

2 answers:

aliya0001 [1]3 years ago

7 0

Answer:

3a + 2b ; a=1, b =-2

(

)

(

−

)

(substitute the values of the variables)

From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).

(

−

)

(simplify)

−

So here, what we've proven is that in our given equation, if

and

−

, then it would yield us a product of

−

Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.

Try another:

−

with a = 1 and b = 3

(

)

−

(

)

6 - 3 + 8

= 11

Just as a sidenote here, make sure you're aware of the difference between

(

)

and

. The former refers to both the 6 and the

being squared, whereas the latter shows only the

being squared. Just be careful not to mix the two.

Try one more:

−

with b = 2 and c = 4

(

)

−

(

)

−

(or 0.3)

Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.

Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.

Step-by-step explanation:

GREYUIT [131]3 years ago

6 0

Answer:

The answer is 10

Step-by-step explanation:

6a + 2b

6(1)+2(2)

6+4

=10

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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let x is the money deposit in the bank and y is the money deposit in stock fund.

Therefore,

x + y = 27000

x = 27000 - y

The bank account will pay 2.4% annual interest.

$\frac{2.4}{100}x+x=1.024x$

Stock fund pays 7.2% annual interest.

$\frac{7.2}{100}y+y=1.072y$

Therefore,

1.024 x + 1.072 y = 1.06 × 27000

Substitute the x = 27000 - y in above equation.

1.024 (27000 − y) + 1.072 y = 1.06 × 27000

27648 − 1.024 y + 1.072 y = 28620

0.048 y = 28620-27648

0.048 y = 972

y = 20250

Now, substitute the y = 20250 in x = 27000 - y.

x = 27000 − 20250

x = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0

4 years ago

Determine whether the data described in the tables is best modeled by a linear function or an exponential function.

Leviafan [203]

Answer:

Electric car = Exponential function (decreasing cost)

Gasoline car = Exponential function (increasing cost)

Step-by-step explanation:

The given data the Electric car, we have;

Time (years) ${}$ Cost (thousands of dollars)

0 ${}$ 35

5 ${}$ 27

10 ${}$ 21

15 ${}$ 16

20 ${}$ 12.5

The difference between successive term is such that each term decreases by approximately the same percentage given as follows

1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease

2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease

3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease

4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease

Therefore. the electric car is best approximated by exponential function

The given data the Gasoline car, we have;

Time (years) ${}$ Cost (thousands of dollars)

0 ${}$ 35

5 ${}$ 40.2

10 ${}$ 46.3

15 ${}$ 53.2

20 ${}$ 61.2

The difference between successive term is such that each term increases by approximately the same percentage given as follows

1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease

2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease

3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease

4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease

Therefore. the Gasoline car is best approximated by exponential function

4 0

3 years ago

An individual is at a restaurant with two other people and they are trying to determine the tip for their check total which came

zlopas [31]

Answer:

c. The tip is $10.00

Step-by-step explanation:

The total bill in the restaurant is = $ 68.42

They wanted to pay a gratuity of 15%

Therefore the correct tip can be calculated as :

= 68.42 of 15%

= $68.42 \times \frac{15}{100}$

= 68.42 x 0.15

= 10.263

≈ 10 (approx.)

Thus the individual along with the other two wishes to pay a tip $10.00 for the total value.

7 0

3 years ago

-3(-x - 7) (Distributive property)

baherus [9]

I believe it is 3x+21 but i could be wrong :/ my explaination is -3 • -X would be +3x because it was distributed and -3 • -7 would be +21

5 0

4 years ago

What is the perimeter of the figure?

Zarrin [17]

Answer:

21.2 yd

Step-by-step explanation:

8 + 6 + 7.2 = 14 + 7.2 = 21.2

4 0

3 years ago

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