E

Which is a factor of 144 - 49x²? O 12-7x² O 72-7x² O 12-7x O 72 + 7x

lisabon 2012 [21]

Answer: C: 12-7x

Step-by-step explanation:

This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.

Any difference of two squares $a^2-b^2$ can be factored into the sum of their square roots times the difference of their square roots $(a+b)(a-b)$ .

Let's factor our expression.

$144-49x^2=(12+7x)(12-7x)$

Out of all the options given, only $12-7x$ is a factor. Hence, option C is correct.

4 0

2 years ago

Hi um I need help so if you could thank you.

morpeh [17]

Answer:

48 is 8 times as many as 6.

4 times as many as 12 is 48.

1.75 is 14 times as many as 8.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Can someone help me my grade are bad

Likurg_2 [28]

Answer:

8.31

Step-by-step explanation:

Using the Pythagorean Theorem:

$a^2+b^2=c^2$

$10^2+b^2=13^2$

$100+b^2=169$

$b^2=69$

$b = \sqrt{69}$

$b = 8.306623863$

The side length for $x$ , rounded to the nearest hundredths, would be 8.31.

8 0

3 years ago

Read 2 more answers

9.

Elena L [17]

Given:

The distance (in kilometers) Dora hiked is modeled as a function of time.

We need to determine the average rate of change in distance hiked, measured in kilometers per hour, between 8:30 am to 1:30 pm.

Average rate of change:

Let us write the time and the distance hiked in coordinates for the time 8:30 am and 1:30 pm.

Thus, the coordinates are (8.30, 4) and (1,12)

The average rate of change can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (8.30, 4) and (1.30,12), we get;

$m=\frac{12-4}{1.30-8.30}$

$m=\frac{8}{-7}$

$m=-1.14$

Rounding off to the nearest whole number, we get;

$m=-1$

Therefore, the average rate of change is -1.

7 0

3 years ago

Carmella is purchasing a $105,000 home and her bank is offering her a 30-

GREYUIT [131]

Answer:

$132.93

Step-by-step explanation:

We will use annuity formula, which is:

$P=C[\frac{1-(1+r)^{-n}}{r}]$

Where P is the loan amount

C is the monthly payment

r is the rate of interest [monthly]

n is the time period [in months]

Firstly, let's calculate her normal monthly payment (without purchasing points):

P is 105,000

C is what we need to find

r is the 0.045/12 = 0.00375

n is 12*30 = 360

Now, we have:

$P=C[\frac{1-(1+r)^{-n}}{r}]\\105,000=C[\frac{1-(1+0.00375)^{-360}}{0.00375}]\\105,000=C[197.3612]\\C=532.02$

So monthly payment would be around $532.02

Now,

With each point purchase, the interest rate goes down by 0.25%, so for 2 points it will be 4.5% - 2(0.25) = 4%

Also, since 20% downpayment, the loan amount would be (0.8)(105,000) = 84,000.

Now, putting these values into the annuity formula we have:

$84,000=C[\frac{1-(1+0.0033)^{-360}}{0.0033}]\\84,000=C(210.4766)\\C=399.09$

The monthly payment would be around $399.09

The amount that is lower is 532.02 - 399.09 = $132.93

4 0

3 years ago