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ludmilkaskok [199]
2 years ago
10

Evaluate 3x² - 1 when x = 2. A. 11 B. 35 C. 3 D. 5

Mathematics
1 answer:
Alexus [3.1K]2 years ago
4 0

Answer:

35

Step-by-step explanation:

All you need to do is substitute!

(3x2)^2-1

6^2-1

36-1

= 35

Hope this helps!!

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A shopper’s discount club charges a monthly fee of $15 and sells gasoline for $2.05 per gallon. The gas station across the stree
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Answer:

15 + 2.05 x = 2.35 x

Step-by-step explanation:

Let x be the number of gallons you would have to buy for the two places to be the same.

At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.

We can write an expression: 15 + 2.05 x

At the gas station, they charge $2.35 per gallon with no other fees.

We can also write an expression: 2.35 x

For the prices to be the same, we have 15 + 2.05 x = 2.35 x

If we were to solve, then we have:

(2.35 - 2.05) x = 15

x = 15 / 0.3 = 50 gallons

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The value of a bank account, y, increases by 5% each year, x. If the initial value of the account is $800, which equation repres
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Answer:

Equation to represent the situation = 800=Y(1.05)^X

Step-by-step explanation:

Given:

Initial investment = Y

Growth rate (r) = 5% = 5 / 100 = 0.05

Number of year (n) = X year

Amount after X year = $800

Find:

Equation to represent the situation:

Computation:

Amount = Initial\ investment (1+r)^n\\\\800 = Y (1+0.05)^X\\\\800 = Y (1.05)^X\\\\

Equation to represent the situation = 800=Y(1.05)^X

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Step-by-step explanation:

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What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b?
Marina86 [1]

Answer:

1. 0.04b. <u>0.04b is 2% of 2b. It is smaller than 2b by 98%.</u>

2. 0.2b. <u>0.2b is 10% of 2b. It is smaller than 2b by 90%.</u>

3. 0.56b. <u>0.56b is 28% of 2b. It is smaller than 2b by 72%.</u>

<u>4. </u>1.8b. <u>1.8b is 90% of 2b. It is smaller than 2b by 10%.</u>

<u>5. </u>2.5b. <u>2.5b is 125% of 2b. It is larger than 2b by 25%.</u>

<u>6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.</u>

Step-by-step explanation:

1. 0.04b

<u>For all the cases, we will use Rule of Three, this way.</u>

Percentage * 2 = 100 * 0.04

Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)

Percentage = 4/2 = 2%

<u>0.04b is 2% of 2b. It is 98% smaller than 2b.</u>

<u>For all cases, we will use (100 - x) for calculating how smaller or larger the expression is related to 2b, where x is the percentage of the expression itself). In this case, 100 - 2 = 98.</u>

2. 0.2b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.2

Percentage = (100 * 0.2)/2 (Dividing by 2 at both sides)

Percentage = 20/2 = 10%

<u>0.2b is 10% of 2b. It is 90% smaller than 2b.</u>

3. 0.56b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.56

Percentage = (100 * 0.56)/2 (Dividing by 2 at both sides)

Percentage = 56/2 = 28%

<u>0.56b is 28% of 2b. It is 72% smaller than 2b.</u>

<u>4. </u>1.8b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 1.8

Percentage = (100 * 1.8)/2 (Dividing by 2 at both sides)

Percentage = 180/2 = 90%

<u>1.8b is 90% of 2b. It is 10% smaller than 2b.</u>

5. 2.5b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 2.5

Percentage = (100 * 2.5)/2 (Dividing by 2 at both sides)

Percentage = 250/2 = 125%

<u>2.5b is 125% of 2b. It is 25% larger than 2b.</u>

<u>In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.</u>

<u>6. </u>3b.

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 3

Percentage = (100 * 3)/2 (Dividing by 2 at both sides)

Percentage = 300/2 = 150%

<u>3b is 150% of 2b. It is 50% larger than 2b.</u>

<u>In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.</u>

6 0
3 years ago
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