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
Mkey [24]
3 years ago
14

x2 + 7x - 18 Select one of the factors of the quadratic expression. A) (x+2) B) (x+6) C) (x-2) D) (x-6)

Mathematics
2 answers:
lubasha [3.4K]3 years ago
5 0
The factors of this expression would be (x+9)(x-2). You have to find two numbers that are factors of -18 that add up to 7. These numbers would be 9 and -2:
(9)x(-2)= -18
and 9 + (-2)= 7
Your answer is C) (x-2).
sineoko [7]3 years ago
5 0

Answer:

The right answer is C) (x - 2).

Step-by-step explanation:

Given x² + 7x -18 , to find the correct factor you have to apply Baskhara´s equation

x = [-b ± √(b²- 4·a·c)]/2·a where a,b and c are the coeficietns of the quadratic equation, with a= 1, b= 7 and c= -18.

When you replace each term on the formula, you have

x= [-7 ± √(7² - 4·1·(-18)]/ 2·1 ⇒ x = [-7 ÷ √121]/2 ⇒ then you will find two solutions x1 and x2.

x1 = (-7 + 11)/2 ⇒ x1= 2

x2 = (-7 - 11)/2 ⇒x2=-9

Here you have the factors of the given equation.

So, x² + 7x -18 = (x-2) · (x +9).

Summarizing, the correct option is C) (x - 2)

You might be interested in
Liz wants to buy a shirt for $25. How much will Liz's shirt cost in Springfield(4.1%) Round up to the nearest cent? Show your wo
grandymaker [24]
In order to find the total amount of the shirt including tax, first convert the tax into a decimal:
4.1/100 = 0.041 %
Next multiply the cost of the shirt before tax by the tax in decimal form:
25 * 0.041 = 1.025
After that you will add the tax cost and the shirt cost:
25 + 1.025 = 26.025
Finally round to the nearest cent:
26.03
Hope this helps and let me know if you have more questions!
7 0
3 years ago
Read 2 more answers
PLEASE HELP I PUT THE PROBLEM AS A PICTURE PLEASE ANSWER WILL GIVE 30 POINTS SHOW WORK
dem82 [27]

Answer:

\huge\boxed{9}

Step-by-step explanation:

\sf (2^8 * 3^{-5} * 6^0)^{-2 } (\frac{3^{-2}}{2^3} )^4*2^{28}

Rule of exponents a^0 = 1 , 1/a^m = a^{-m}

=> \sf 2^{8*-2} * 3 ^{-5*-2} * 3 ^{-2}* 2^{-3*4} * 2^{28}

=> \sf 2 ^ {-16} * 3^{10} * 3^{-8} * 2 ^{-12}* 2^{28}

Combining same bases

=> \sf 2 ^ {-16} * 2 ^{-12}* 2^{28}* 3^{10} * 3^{-8}

When bases are same , powers are to be added

=> \sf 2 ^{-16-12+28} * 3^{10-8}

=> \sf 2^{-28+28} * 3^2

=> \sf 2^0 * 3^2

=> \sf 3^2

=> 9

8 0
3 years ago
I need help ASAP please
gulaghasi [49]

Answer: x =168

 

Step-by-step explanation:I think it would be 80 plus 88 so its 168.  

4 0
3 years ago
Which logarithmic equation is equivalent to the exponential equation below? 70.81 = ea
bixtya [17]
Loge 70.81 = a
Log to the base e is also  written as ln
ln 70.81 = a
4 0
3 years ago
Read 2 more answers
The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to t
mrs_skeptik [129]
It will have to be C 
5 0
3 years ago
Other questions:
  • How do you factor y2+6y+5
    8·2 answers
  • Answer asap pls needed due at 4:00 pm EST
    14·2 answers
  • A pair of shoes usually sells for $57. If the shoes are 40% off, and sales tax is 6%, what is the total price of the shoes, incl
    6·1 answer
  • HELP QUICK PLEASE I WILL MARK BRAINLIEST
    7·2 answers
  • What is the value of 1 3/10
    6·2 answers
  • When using the quadratic formula we call the part under that radical the discriminant this part of the formula can be used to he
    11·2 answers
  • Writing expressions - <br> the sum of 4 twelves and 7 sixteens
    8·2 answers
  • The sum of two rational numbers is −3/5 . If one of them is −9/20, find the other.
    7·2 answers
  • Petra invests $10,800. After 4 years she has earned $3240 in interest.
    12·1 answer
  • Solving for w2&lt;4/5+w
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!