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3 years ago

Plz help me solve this algebra

Mathematics

1 answer:

krek1111 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

$16^{\frac{24}{64}} =16^{\frac{4*2*3}{4*2*8}}\\\\=(2^{4})^{\frac{3}{8}}\\\\=2^{4*\frac{3}{8}}\\\\=2^{\frac{3}{2}}=2^{3*\frac{1}{2}}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}$

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Pls help]ppppppppp me

bazaltina [42]

Answer:

a. (2x - 3)(x - 4)

b. 17 m, 6 m

c. 46 m

Step-by-step explanation:

2x² - 11x + 12 = (2x - 3)(x - 4)

2x - 3 = 2(10) - 3 = 17

x - 4 = 10 - 4 = 6

P = 2L + 2W = 2(17) + 2(6) = 46

8 0

2 years ago

Which product is positive?

Natalija [7]

Option D:

$\left(-\frac{2}{5}\right)\left(-\frac{8}{9}\right)\left(\frac{1}{3}\right)\left(\frac{2}{7}\right)$ is positive product.

Solution:

<em>If the negative sign is in even number of times then the product is positive.</em>

<em>If the negative sign is in odd number of times then the product is negative.</em>

To find which product is positive:

Option A:

$$\left(\frac{2}{5}\right)\left(-\frac{8}{9}\right)\left(-\frac{1}{3}\right)\left(-\frac{2}{7}\right)$

Here, number of negative signs = 3

3 is an odd number.

So, the product is negative.

Option B:

$$\left(-\frac{2}{5}\right)\left(\frac{8}{9}\right)\left(-\frac{1}{3}\right)\left(-\frac{2}{7}\right)$

Here, number of negative signs = 3

3 is an odd number.

So, the product is negative.

Option C:

$$\left(\frac{2}{5}\right)\left(\frac{8}{9}\right)\left(\frac{1}{3}\right)\left(-\frac{2}{7}\right)$

Here, number of negative sign = 1

1 is an odd number.

So, the product is negative.

Option D:

$$\left(-\frac{2}{5}\right)\left(-\frac{8}{9}\right)\left(\frac{1}{3}\right)\left(\frac{2}{7}\right)$

Here, number of negative sign = 2

2 is an odd number.

So, the product is positive.

Hence option D is the correct answer.

$\left(-\frac{2}{5}\right)\left(-\frac{8}{9}\right)\left(\frac{1}{3}\right)\left(\frac{2}{7}\right)$ is positive product.

4 0

3 years ago

What is the solution to this problem

Nuetrik [128]

Hello Again! The answer would be C. (8,11)
To confirm we will plug the numbers x = 8, Y = 11
------------------------
2x - 5 = y
(2 x 8) - 5 = 11
16 - 5 = 11
------------------------
y = x + 3
11 = 8 + 3
------------------------
So now you can determine that the answer would be (8,11)

8 0

3 years ago

Tom and Jerry both invested the same amount for 8 years. If Tom’s rate of return is 9% and Jerry’s rate is 10% compounded annual

Margarita [4]

Answer:

The correct option is;

(f) 7.6%

Step-by-step explanation:

The given parameters are;

The number of years Tom and Jerry are investing their money, t = 8 years

The rate of return for Tom's investment, r₁ = 9%

The rate of return for Jerry's investment, r₂ = 10%

The rate at which the interest is compounded, n = Annually = 1

Let P represent the equal amount of money each of Tom and Jerry invested separately

The amount, A, of the investment is given by the following formula;

$A = P \times \left (1 + \dfrac{r}{n} \right ) ^{n \times t}$

Substituting the known values for Tom, gives;

$A = P \times \left (1 + \dfrac{0.09}{1} \right ) ^{1 \times 8} = P \times 1.09^8 \approx 1.993\cdot P$

The amount Tom has after 8 years ≈ 1.993·P

Substituting the known values for Jerry, gives;

$A = P \times \left (1 + \dfrac{0.1}{1} \right ) ^{1 \times 8} = P \times 1.1^8 \approx 2.144\cdot P$

The amount Jerry has after 8 years ≈ 2.144·P

The percentage amount Jerry has more than Tom after 8 years, PA is given as follows;

$PA = \dfrac{2.144 \cdot P - 1.993 \cdot P}{1.993 \cdot P} \times 100 = 7.57651781234\% \approx 7.6 \%$

The amount Jerry will have after 8 years than Tom = PA ≈ 7.6%.

5 0

3 years ago

-9 + 10 over 4 equals negative 7

umka21 [38]

-9 + 10 over 4 = -7

1/4 = -7

1/4 does not equal -7

7 0

3 years ago