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
Ludmilka [50]
3 years ago
11

How do I 'Factor the expression 12p+30.' ?

Mathematics
2 answers:
s2008m [1.1K]3 years ago
5 0

Answer:

Grouping and then use the common factor. Therefor the answer is 6(2p+5)

Step-by-step explanation:

I hope this helps.

Usimov [2.4K]3 years ago
4 0
The correct answer would be....

6(2p+6)
You might be interested in
*URGENT* <br> PLEASE HELP ILL GIVE BRAINLIEST !!!!!!
mylen [45]
Just multiply the given x values by the function rule, that’s how you get ur y
8 0
3 years ago
Jasmine is designing boxes she will use to ship her jewelry. She wants to shape the box like a regular polygon. In order for the
Naddik [55]

Answer:

The regular polygon that she should use is an equilateral  triangle

Step-by-step explanation:

The parameters given are;

Interior angles = 0.5 × Exterior angles

Exterior angles of a regular polygon = 360/n

Sum of interior angles of a regular polygon = (n - 2) × 180

Where n = the number of sides

Therefore, the sum of exterior angles of a regular polygon = 360°

Hence we have;

(n - 2) × 180 = 360/2 = 180

n - 2 = 180/180 = 1

n = 1 + 2 = 3 which is a three sided regular polygon or an equilateral triangle

Therefore, the regular polygon that she should use is an equilateral  triangle

3 0
3 years ago
Help!!!! I will give Brainlist - Which graph best represents a function with a range of all real numbers greater than or equal t
AleksAgata [21]

C. is the correct option.

mark as Brainliest ty!

7 0
2 years ago
Consider the following function.
Kryger [21]

Answer:

See below

Step-by-step explanation:

I assume the function is f(x)=1+\frac{5}{x}-\frac{4}{x^2}

A) The vertical asymptotes are located where the denominator is equal to 0. Therefore, x=0 is the only vertical asymptote.

B) Set the first derivative equal to 0 and solve:

f(x)=1+\frac{5}{x}-\frac{4}{x^2}

f'(x)=-\frac{5}{x^2}+\frac{8}{x^3}

0=-\frac{5}{x^2}+\frac{8}{x^3}

0=-5x+8

5x=8

x=\frac{8}{5}

Now we test where the function is increasing and decreasing on each side. I will use 2 and 1 to test this:

f'(2)=-\frac{5}{2^2}+\frac{8}{2^3}=-\frac{5}{4}+\frac{8}{8}=-\frac{5}{4}+1=-\frac{1}{4}

f'(1)=-\frac{5}{1^2}+\frac{8}{1^3}=-\frac{5}{1}+\frac{8}{1}=-5+8=3

Therefore, the function increases on the interval (0,\frac{8}{5}) and decreases on the interval (-\infty,0),(\frac{8}{5},\infty).

C) Since we determined that the slope is 0 when x=\frac{8}{5} from the first derivative, plugging it into the original function tells us where the extrema are. Therefore, f(\frac{8}{5})=1+\frac{5}{\frac{8}{5}}-\frac{4}{\frac{8}{5}^2 }=\frac{41}{16}, meaning there's an extreme at the point (\frac{8}{5},\frac{41}{16}), but is it a maximum or minimum? To answer that, we will plug in x=\frac{8}{5} into the second derivative which is f''(x)=\frac{10}{x^3}-\frac{24}{x^4}. If f''(x)>0, then it's a minimum. If f''(x), then it's a maximum. If f''(x)=0, the test fails. So, f''(\frac{8}{5})=\frac{10}{\frac{8}{5}^3}-\frac{24}{\frac{8}{5}^4}=-\frac{625}{512}, which means (\frac{8}{5},\frac{41}{16}) is a local maximum.

D) Now set the second derivative equal to 0 and solve:

f''(x)=\frac{10}{x^3}-\frac{24}{x^4}

0=\frac{10}{x^3}-\frac{24}{x^4}

0=10x-24

-10x=-24

x=\frac{24}{10}

x=\frac{12}{5}

We then test where f''(x) is negative or positive by plugging in test values. I will use -1 and 3 to test this:

f''(-1)=\frac{10}{(-1)^3}-\frac{24}{(-1)^4}=-34, so the function is concave down on the interval (-\infty,0)\cup(0,\frac{12}{5})

f''(3)=\frac{10}{3^3}-\frac{24}{3^4}=\frac{2}{27}>0, so the function is concave up on the interval (\frac{12}{5},\infty)

The inflection point is where concavity changes, which can be determined by plugging in x=\frac{12}{5} into the original function, which would be f(\frac{12}{5})=1+\frac{5}{\frac{12}{5}}+\frac{4}{\frac{12}{5}^2 }=\frac{43}{18}, or (\frac{12}{5},\frac{43}{18}).

E) See attached graph

5 0
3 years ago
Which of the following is a geometric sequence?
Karolina [17]
B isn’t. I can’t explain why it is but it is trust me.
8 0
2 years ago
Other questions:
  • A scale reports a 15 pound weight as weighing 12.375 pounds what is true
    8·1 answer
  • A student builds a model of a high-rise for a diorama for an architecture class. The model is a perfect cube and the total volum
    15·1 answer
  • Tell whether the pair of polygons is similar. Explain why or why not.
    8·2 answers
  • The subway sold 439 tickets in one day. It wants to sell that amount each day over the next 13 days. How many tickets does the s
    12·1 answer
  • There are 3 times more kittens than puppies in a box. Together there are 24 animals. How many kittens are there?
    11·1 answer
  • A line plot with the lengths of meteors is shown. Two more identical meteor measurements were added so that the total length of
    11·2 answers
  • If a race car averages 138 miles per hour for 4 ​hours, how far does the car​ travel?
    15·2 answers
  • SOMEONE PLEASE HELP ME I’m really confused
    12·1 answer
  • For the past 15 months, Frank recorded the cost of his monthly home heating bill and the corresponding average monthly temperatu
    10·1 answer
  • he quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15 s
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!