All categories

3 years ago

How to factor a2b2-1 or 144y2-49 can someome help me out on this please

Mathematics

1 answer:

Sonja [21]3 years ago

5 0

A^2b^2-1

The factor of that is (ab-1)(ab+1)

144y^2-49

The factor of that is (12y-7)(12y+7)

You might be interested in

Is 1.2 greater or less than 1.35

stich3 [128]

Answer:

Less than

Step-by-step explanation:

It is less than because it its 0.15 less than 1.35

I like to see iy as 120 and 135 to make it easier but there are other ways

hope this helps

4 0

3 years ago

A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to c

Mariana [72]

Answer:

1. $\mu = \$306,500$

2. $\sigma = \$24,500$

3. $n = 150$

4. $\mu_{x}= \mu = \$306,500$

5. $\sigma_x = \$ 2,000 \\\\$

Step-by-step explanation:

The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500.

From the above information, we know that,

The population mean is

$\mu = \$306,500$

The population standard deviation is

$\sigma = \$24,500$

Suppose a random sample of 150 Americans is selected

$n = 150$

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The sample mean would be the same as the population mean that is

$\mu_{x}= \mu = \$306,500$

The sample standard deviation is given by

$\sigma_x = \frac{\sigma}{\sqrt{n} }$

Where $\sigma$ is the population standard deviation and n is the sample size.

$\sigma_x = \frac{24,500}{\sqrt{150} } \\\\\sigma_x = \$ 2,000 \\\\$

Therefore, the required parameters are:

1. $\mu = \$306,500$

2. $\sigma = \$24,500$

3. $n = 150$

4. $\mu_{x}= \mu = \$306,500$

5. $\sigma_x = \$ 2,000 \\\\$

5 0

3 years ago

URGENT please help me with this !!!

marin [14]

Answer:

480 mm³

Step-by-step explanation:

The volume (V) of a pyramid is

V = $\frac{1}{3}$ area of base × height, hence

V = $\frac{1}{3}$ × 96 × 15 = 32 × 15 = 480

5 0

3 years ago

Jeff can walk comfortably at 2.25 miles per hour. Find a linear equation that represents the total distance Jeff can walk in t h

Westkost [7]

Answer:

y=2.25x

Where y is the distance walked and x is time.

4 0

3 years ago

The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 se

kakasveta [241]

Let:
x = cost of senior citizen ticket
y = cost of student ticket

4x + 5y = 102
7x + 5y = 126

4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4

7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4

note:
-35y/4 = -8.75y
714/4 = 178.5

-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14

x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8

x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea

6 0

3 years ago