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4 years ago

What are the solutions of the equation (2x + 3)2 + 3(2x + 3) + 11 = 02 Use u substitution and the quadratic formula to solve.

Mathematics

1 answer:

Stella [2.4K]4 years ago

8 0

Answer:

x=-2.4 or x= - 12/5

Step-by-step explanation:

hope that helps.

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11 less than three times a number is the same as 75 less than the product of -1 and the number. Find the value of the number.

larisa [96]

Answer: x = -16

Step-by-step explanation:

3x - 11 = -x - 75 then solve. see photo attached for work.

3 0

3 years ago

F $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amoun

Whitepunk [10]

Answer:

(1) The annual interest rate is 10%, that is greater than 8%

(2) The annual interest is bigger than 22.47% and that is greater than 8%

Step-by-step explanation:

We have the equation:

$I=1,000((1+\frac{r}{100} )^{n} -1)$

Where I is the earns in interest, n is the number of years and r is the annual interest rate.

For the first case, we can replace I by $210 and n by 2 as:

$210=1,000((1+\frac{r}{100} )^{2} -1)$

Solving for r, we get:

$\frac{210}{1,000} = (1+\frac{r}{100})^{2} -1$

$0.21 +1 = (1+\frac{r}{100})^{2}$

$1.21 = (1+\frac{r}{100})^{2}$

$\sqrt{1.21} = 1 + \frac{r}{100}$

$\sqrt{1.21} - 1 = \frac{r}{100}$

$(\sqrt{1.21} - 1)100=r$

$10=r$

So, for the first case, the interest rate paid by the bank is 10% and it is greater than 8%

For the second case, we need to take the equation and solve for r as:

$(1+\frac{r}{100} )^{2} >1.5$

$1+\frac{r}{100} > \sqrt{1.5}$

$\frac{r}{100} > \sqrt{1.5}-1$

$r > (\sqrt{1.5}-1)*100$

$r > 22.47$

So, for the second case the rate need to be bigger than 22.47% and that is bigger than 8%

5 0

3 years ago

What is equal to 4 5/6 + 5 1/4?

kherson [118]

Make it so that the fractions have common denominators. 12 is a common denominator we can use.

5/6= 10/12 1/4= 3/12

Multiply both numbers by 2. Multiply both by 3.

Now, add.

4 10/12+ 5 3/12= 9 13/12

Simplify.

10 1/12.

I hope this helps!
~cupcake

4 0

3 years ago

Real numbers consist of

gregori [183]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Fractions from least to greatest 1/2, 2/5, 6/10

FromTheMoon [43]

1/2=.50 2/5=.40 6/10=.60

2/5,1/2,6/10