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
kobusy [5.1K]
3 years ago
10

Solve the following quadratic equation by factoring.

Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0
<h3>Answer:  x = -2 or x = 7  (choice D)</h3>

==========================================

Work Shown:

x^2 - 5x = 14

x^2 - 5x - 14 = 0

(x-7)(x+2) = 0 .... this step is further explained below

x-7 = 0 or x+2 = 0

x = 7 or x = -2

The order of the solutions does not matter.

-------------------------

To factor x^2-5x-14, we need to find two numbers that multiply to -14 and add to -5. This is done through trial and error. I recommend making a table to help organize everything. See the diagram below.

After a bit of guess work, you should find that -7 and 2 are the two values we're after

-7 + 2 = -5

-7 * 2 = -14

This is why x^2-5x-14 = (x-7)(x+2)

tekilochka [14]3 years ago
6 0

Answer:

x = 7, -2

Step-by-step explanation:

<h2><em><u>Factor and set each factor equal to 0</u></em></h2>
You might be interested in
How can you tell an equation is linear? Example: 22x-14y=65
Nezavi [6.7K]
To determine whether or not an equation is linear or not, we look at the exponets. If the highest exponent on a single variable is one, then the equation is linear.

Answer: x = 14y + 65
-----------
22
7 0
3 years ago
The original value of a car is $18,000, and it depreciates (loses value) by 15% each year. What is the value of the car after th
Sliva [168]
A reduction of 15% per year means 100-15=85% reducing factor.
1st year: 0.85×18000=$15300.
2nd year: 0.85×15300=$13005.
3rd year: 0.85×13005=$11054.25.
So after 3 years the value of the car is $11054.25 or $11054 to the nearest dollar.
6 0
2 years ago
In the grade 9, the ratio of girls to boys is 17:8. What percent of the grade 9 are boys?
Maurinko [17]

Answer:

32%

Step-by-step explanation:

Let's say there are 17 girls and 8 boys. So there is 25 people in total.

8/25 = 32/100=32%

3 0
2 years ago
How do you find angles on a rhombus
Naily [24]

Answer:

you can try adding the adding angles up to 180

or if its graphed you can count the units

Step-by-step explanation:

and know that all four sides are congruent and diagonals are perpendicular

i tried :)

6 0
2 years ago
-x-5y=22&amp;y=-7x+16 solve the system by the substitution method
Kaylis [27]
(3,-5) is your answer .-.
4 0
2 years ago
Other questions:
  • Use cross products to find the area of the triangle in the xy-plane defined by (1, 2), (3, 4), and (−7, 7).
    13·1 answer
  • Are all rational numbers real numbers? if not plz explainn
    8·2 answers
  • If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f – g)(x)
    12·2 answers
  • Help me with number 6 and 4 please
    10·1 answer
  • I can’t figure out the answer to 4X+14
    7·2 answers
  • Hi, would I get help on this please?​
    13·1 answer
  • Question 2
    14·1 answer
  • HELPPPP NOWWWW ITS TIMEDD
    14·2 answers
  • Which of the following best describes the relationship between the amount of time spent snoozing and the amount of time slept?
    15·1 answer
  • Reflect the shape A in the line y
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!