All categories

2 years ago

What is the correct factorization of x^2 - 2x - 15?

Mathematics

1 answer:

iragen [17]2 years ago

8 0

Answer:

option b

Step-by-step explanation:

${x}^{2} - 2x - 15$

${x}^{2} - 5x + 3x - 15 = 0$

$x(x - 5) + 3(x - 5) = 0$

$(x - 5)(x + 3) = 0$

x = -3 (Not possible)

x = 5

So, x = 5

You might be interested in

Using 50 boxes of nails a carpenter a

lapo4ka [179]

450=50x this should be correct :)

8 0

2 years ago

Which expression is equivalent to 440d2 - 176d?

Bess [88]

666666666666666666766666666

6 0

2 years ago

Read 2 more answers

Kaylee's history class quiz scores for the current grading period are 10, 50, 75, 80, 82,

goldfiish [28.3K]

B is the answer I need the points

5 0

3 years ago

A rectangular picture frame measures 63 cm by 63 cm. What is the perimeter or distance around the picture frame in meters? m

Natalija [7]

Hi!

We need the perimeter in meters, so we have to turn cm into m.
63 cm = 0.63 m

The perimeter is the sum of all side measures:
P = 0.63 + 0.63 + 0.63 + 0.63
P = 4 * 0.63
P = 2.52 m

;)

6 0

3 years ago

Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year

Anna35 [415]

Given:

• Amount to save, A = $28,000

• Time, t = 6 years

• Interest rate, r = 5.3% ==> 0.053

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

$FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})$

Where:

FV is the future value = $28,000

r = 0.053

n = 4

t = 6 years

Thus, we have:

$28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}$

Let's solve for P.

We have:

$\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\ \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\ \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\ \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}$

Solving further:

$28000=P(28.0384237)$

Divide both sides by 28.0384237:

$\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\ \\ 998.6=P \\ \\ P=998.6 \end{gathered}$

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

8 0

11 months ago