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
Schach [20]
3 years ago
8

What are the factors of 2x + 3x - 54? Select two options

Mathematics
2 answers:
tiny-mole [99]3 years ago
7 0

Answer:

The answer: The factors are (2x-9) and (x+6).

The Problem:

Factor 2x^2+3x-54

Step-by-step explanation:

So I'm going to do trial factors using the choices to aid me.

Factored form for this problem if it exist will be in the form:

(mx+n)(kx+p).

In general this is what it would look like if we factored any quadratic in terms of x (given the quadratic is not prime but technically you could factor even over the complex numbers).

Let's look at:

(mx+n)(kx+p)

We want to choose k \text{ and } m such that when you multiply them you get 2.  Well those would have to be 2 and 1.

(2x+n)(x+p)

we want to choose n \text{ and } p such that when you multiply them you get -54. Based on the choices we want to get with -9 and 6, or 9 and -6. We don't know the order we want to choose it in either.

For example which of these would work:

(2x-6)(x+9)

(2x+6)(x-9)

(2x-9)(x+6)

(2x+9)(x-6)

We are going to consider only the outer and inner of FOIL since we already know the first times the first is 2x^2 and the last times the last is -54.

Let's test the first one:

(2x-6)(x+9)

Outer:  2x(9)=18x

Inner: -6(x)=-6x

------------------------ADD!

18x-6x=12x

The first choice did not give us the middle term 3x.

Trying the second one would give us the opposite since they are in the same form as previous just the + and - are switched.

Let's look at the third one:

(2x-9)(x+6)

Outer: 2x(6)=12x

Inner: -9(x)=-9x

--------------------------ADD!

12x-9x=3x

This is the winner.

The answer: The factors are (2x-9) and (x+6).

sasho [114]3 years ago
4 0

Answer:

a&e

Step-by-step explanation:

You might be interested in
Consider vectors u and v, where u = (1, -1) and v = (1, 1). What is the measure of the angle between the vectors?
7nadin3 [17]

Answer:

I believe the answer is C. 90 degrees

Step-by-step explanation:

First you find the lengths of the two vectors, which are both \sqrt{2}. Then you find the angle given the cos using:   cos(∅)=\frac{u*v}{|u|*|v|} = \frac{0}{\sqrt{2}*\sqrt{2}  } = 0. Then using ∅=acos(0)=\frac{\pi }{2} = 90°

6 0
3 years ago
Read 2 more answers
If a + b = 15, find the maximum value of a × b​
Otrada [13]

Answer: 56

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
W/5=3 what does w equal
m_a_m_a [10]

Answer:

w=15

Step-by-step explanation:

w/5=3

multiply by 5 on both sides

w=3*5

∴ w=15

7 0
3 years ago
Read 2 more answers
How do you go from slope-intercept form to standard form
dexar [7]
Thats How you go from slope to to standard form

6 0
3 years ago
M∠1 = 65°, what is m∠2?
Nookie1986 [14]

Answer:

m∠2=65

Step-by-step explanation:

They are corresponding angels which means they are congruent.

8 0
3 years ago
Other questions:
  • Plz help me with this
    5·2 answers
  • 15 Points Help Math question
    8·1 answer
  • The sum of a whole number and twice the square of the number is 10. Find the number.
    11·1 answer
  • Please help me. <br> What is 22% of 400?
    15·2 answers
  • true or false? A regular polygon is one in which all angles are congruent and all sides are congruent.
    12·1 answer
  • What is the slope of a line that contains points (-2.5, -24) and (4.75, 19.5)?
    14·1 answer
  • Which of the following elevations are deeper than -200 feet? Select all that apply.
    12·2 answers
  • Answer B for me please!!! I need help. What assumption would you need to make to make about the diagram in order to assume that
    8·1 answer
  • In the figure, j∥k and m∠1 = 63°.
    11·2 answers
  • The temperature at 5 P.M. is 20°F. The temperature at 10 P.M. is -5°
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!