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
Karolina [17]
3 years ago
13

Factor completely, then place the answer in the proper location on the grid. 6х^2 - 3х - 30

Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

Answer:

3(x + 2)(2x - 5)

Step-by-step explanation:

Given

6x² - 3x - 30 ← factor out 3 from each term

= 3(2x² - x - 10) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 10 = - 20 and sum = - 1

The factors are + 4 and - 5

Use these factors to split the x- term

2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )

= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term

= (x + 2)(2x - 5), thus

2x² - x - 10 = (x + 2)(2x - 5) and

6x² - 3x - 30

= 3(x + 2)(2x - 5) ← in factored form

You might be interested in
F(x) = 15,000(.84) shows the value of a car each year. Describe the following:
makvit [3.9K]

Answers:

  • a) 15000 represents the starting amount
  • b) The decay rate is 16%, which means the car loses 16% of its value each year.
  • c) x is the number of years
  • d) f(x) is the value of the car after x years have gone by

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

Explanation:

We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,

f(x) = 15000(0.84)^x

f(0) = 15000(0.84)^0

f(0) = 15000(1)

f(0) = 15000

In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.

So that's how we get the initial value of the car. The car started off at $15,000.

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

The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.

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

The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.

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

The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.

7 0
2 years ago
Solve and graph on a number line the solution to f+4 is less than or equal to 15
Nata [24]

Answer:

f+4\leq 15 solves to f\leq 11\\ and ill provide graph below

Step-by-step explanation: hope i helped have a great day!

6 0
3 years ago
I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Verizon [17]

Answer:

Yes That Is Correct!

Step-by-step explanation:

If all three pairs of corresponding sides are congruent, the triangles are congruent. This congruence shortcut is known as side-side-side (SSS).

BEST OF LUCK IN MATH!

4 0
3 years ago
I need to find x but I don't know how
vagabundo [1.1K]
If you're looking for the angle it is a 30, 60, 90, but if you're looking for the length of the hypotenuse it's 5
5 0
3 years ago
Read 2 more answers
On average, about 240 people visit a local food pantry every day and search up groceries. On an extremely cold day, visitors to
Charra [1.4K]
The answer is 420 people
8 0
3 years ago
Read 2 more answers
Other questions:
  • How many boxes of of candy would you use if you had 80 pieces of candy
    14·1 answer
  • Annisa wrote an expression the product of 6.2 and the sum of 3c and 8 what are the factors of the expression
    7·2 answers
  • What are the solutions of 3(x-4)(2x-3)=0 check all that apply
    13·2 answers
  • Which reflection of the point will produce an image at the same time coordinates (0,k)
    5·1 answer
  • -1 5/7 x - 2 1/2 please halp me it hwert feelwings if no halps little pup
    8·1 answer
  • What is the volume of a cylinder with a radius of 5 cm and height of 10 cm? In terms of pi.
    15·1 answer
  • Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
    8·2 answers
  • PLEASE HURRY
    8·2 answers
  • 1/2+3/4 1/2+3/4=2/4+3/4=5/4 or 11/4
    13·1 answer
  • Two digit subtraction with regrouping
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!