1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hatshy [7]
3 years ago
5

Determine the factors of x2 − 7x − 10. (5 points) a (x + 2)(x − 5) b Prime c (x − 2)(x + 5) d (x + 10)(x − 1)

Mathematics
1 answer:
Savatey [412]3 years ago
6 0

For this case we must factor the following expression:

x ^ 2-7x-10

To factor, we must find two numbers that when added together give -7 and when multiplied by -10.

It is observed that there are not two whole numbers that comply with the aforementioned.

Thus, the following equation applies:

x = \frac {-b \pm\sqrt{b ^ 2-4 (a) (c)}} {2 (a)}

Where:

a = 1\\b = -7\\c = -10

We replace:

x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 10)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 40}} {2}\\x = \frac {7 \sqrt {89}} {2}

So, the roots are:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

Answer:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

You might be interested in
How much money, invested at an interest rate of r % per year compounded continuously, will amount to A dollars after t years? (R
Alex Ar [27]

Answer: $151377.5 should be invested.

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

A = $300000

r = 3.8% = 3.8/100 = 0.038

t = 18 years

Therefore,

300000 = P x 2.7183^(0.038 x 18)

300000 = P x 2.7183^(0.684)

300000 = 1.9818P

P = 300000/1.9818

P = $151377.5

8 0
3 years ago
Steve subscribed to 10 podcasts for a total of 340 minutes. He used his two favorite tags, Hobbies & Recreation and Soliloqu
Gwar [14]
We let x and y be the number of Hobbies & Recreation and Soliloquies episodes that Steve subscribe. The system of linear equation that best represent the given above is,
                                          x + y = 10
                                         32x + 42y = 340
The values of x and y from the system are 8 and 2, respectively. Thus Steve subscribed to 8 Hobbies & Recreation and to 2 Soliloquies episodes. 
7 0
3 years ago
What’s the perfect square of 4x^2
kirza4 [7]
16x^2 is the <span>perfect square of 4x^2</span>
8 0
3 years ago
Read 2 more answers
Plz help me on my homework
pishuonlain [190]
The answer to the problem is D
4 0
2 years ago
Read 2 more answers
I do all things in zero sums in my head is that possible to be a zero?
elixir [45]
Yes but it dose depend on the problem
6 0
3 years ago
Read 2 more answers
Other questions:
  • !! Need help with the problem in the photo. !!
    6·2 answers
  • A 7 by 10 inch mirror was put in a frame and hung on the wall. The mirror and frame together cover an area of 130 inches squared
    7·1 answer
  • A data set lists earthquake depths. The summary statistics are
    8·1 answer
  • Solve for ttt. 2(t+1) = 10
    13·1 answer
  • Why is measuring a circle different for measuring a polygon
    8·2 answers
  • What is 3.28 divided by 11.48 pls show me the step by step work
    13·1 answer
  • Can anyone help me with this please?:)​
    14·2 answers
  • Find the interquartile range! PLEASE HELP!!!!!!
    13·1 answer
  • Help! will vote brainliest first answer
    9·2 answers
  • At a sale, dresses were sold for $192 each. This price was 96% of a dress's original price. How much did a dress originally cost
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!