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
FromTheMoon [43]
2 years ago
8

Which statement best describes a method that can be used to sketch the graph.

Mathematics
1 answer:
Yakvenalex [24]2 years ago
4 0

Answer:

Step-by-step explanation:

b. Translate the graph of y = |x| two units up.

You might be interested in
How do u solve 50=pi*2(h+3)
lakkis [162]

\bf 50=\pi 2(h+3)\implies 50=\stackrel{\textit{distributing first}}{2\pi h+6\pi }\implies 50-6\pi =2\pi h \\\\\\ \cfrac{50-6\pi }{2\pi }=h\implies 4.957747154594767 \approx h

5 0
2 years ago
Choose the graph that represents the equation y = –|x – 1|.
andrew11 [14]
The second photo is the correct graph.

4 0
2 years ago
$8.49×6=□<br><br> $509.40<br><br> $50.94<br><br> $50.93<br><br> $5.09
Alex787 [66]
Answer is 50.94 dollars
7 0
3 years ago
Read 2 more answers
Prove or disprove (from i=0 to n) sum([2i]^4) &lt;= (4n)^4. If true use induction, else give the smallest value of n that it doe
ddd [48]

Answer:

The statement is true for every n between 0 and 77 and it is false for n\geq 78

Step-by-step explanation:

First, observe that, for n=0 and n=1 the statement is true:

For n=0: \sum^{n}_{i=0} (2i)^4=0 \leq 0=(4n)^4

For n=1: \sum^{n}_{i=0} (2i)^4=16 \leq 256=(4n)^4

From this point we will assume that n\geq 2

As we can see, \sum^{n}_{i=0} (2i)^4=\sum^{n}_{i=0} 16i^4=16\sum^{n}_{i=0} i^4 and (4n)^4=256n^4. Then,

\sum^{n}_{i=0} (2i)^4 \leq(4n)^4 \iff \sum^{n}_{i=0} i^4 \leq 16n^4

Now, we will use the formula for the sum of the first 4th powers:

\sum^{n}_{i=0} i^4=\frac{n^5}{5} +\frac{n^4}{2} +\frac{n^3}{3}-\frac{n}{30}=\frac{6n^5+15n^4+10n^3-n}{30}

Therefore:

\sum^{n}_{i=0} i^4 \leq 16n^4 \iff \frac{6n^5+15n^4+10n^3-n}{30} \leq 16n^4 \\\\ \iff 6n^5+10n^3-n \leq 465n^4 \iff 465n^4-6n^5-10n^3+n\geq 0

and, because n \geq 0,

465n^4-6n^5-10n^3+n\geq 0 \iff n(465n^3-6n^4-10n^2+1)\geq 0 \\\iff 465n^3-6n^4-10n^2+1\geq 0 \iff 465n^3-6n^4-10n^2\geq -1\\\iff n^2(465n-6n^2-10)\geq -1

Observe that, because n \geq 2 and is an integer,

n^2(465n-6n^2-10)\geq -1 \iff 465n-6n^2-10 \geq 0 \iff n(465-6n) \geq 10\\\iff 465-6n \geq 0 \iff n \leq \frac{465}{6}=\frac{155}{2}=77.5

In concusion, the statement is true if and only if n is a non negative integer such that n\leq 77

So, 78 is the smallest value of n that does not satisfy the inequality.

Note: If you compute  (4n)^4- \sum^{n}_{i=0} (2i)^4 for 77 and 78 you will obtain:

(4n)^4- \sum^{n}_{i=0} (2i)^4=53810064

(4n)^4- \sum^{n}_{i=0} (2i)^4=-61754992

7 0
3 years ago
Which new angle is created by extending one side of a triangle
8090 [49]

Answer: The correct option is (C). an exterior angle.

Step-by-step explanation: We are to select the name of the new angle that is created by extending one side of a triangle.

Let ABC be a triangle as shown in the attached figure.

∠ABC, ∠ACB and ∠BAC are three interior angles of the triangle ABC.

Let us extend the side BC towards C to point D. The newly created angle is ∠ACD.

∠ACD is called the exterior angle of ΔABC.

Therefore, the newly created angle is an exterior angle.

Thus, option (C) is correct.

7 0
3 years ago
Read 2 more answers
Other questions:
  • the ratio of girls to boys at a school dance was 5:2 if there were 70 girls at the dance, How many boys were at he dance? "use p
    8·2 answers
  • Eight subtracted from a number is twelve
    6·2 answers
  • An oblique prism has a volume of 144 cubic units the area of its base is 24sq units what is the perpendicular height of the pris
    9·1 answer
  • What is the value of x when (6x+1)+(2x+10)=79
    15·1 answer
  • a number is doubled and then the product is increased by 6. This sum is then multiplied by -3, and the result is 54 greater then
    6·1 answer
  • On January 1t 2014, approximately 450 thousand buildings in the United Statcs (US) had sola panels. This number increased by a t
    11·1 answer
  • 3. The masses of two gorillas are given below. A female gorila has a mass of
    9·1 answer
  • What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?
    6·1 answer
  • Which pair of points graphed below have values that are opposites
    8·2 answers
  • <img src="https://tex.z-dn.net/?f=8%20%286%5Cfrac%7B1%7D%7B4%7D%20%2A%203.2%20-%2018%29" id="TexFormula1" title="8 (6\frac{1}{4}
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!