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
Natali5045456 [20]
10 months ago
6

3. Which of the following equations is equivalent to the equation shown below? x^2 + 4x + 15 = 0

Mathematics
1 answer:
stiv31 [10]10 months ago
5 0

We need to expand the answer choices and see which one matches the equation

x^2+4x+15=0

Remember the algebraic rules:

(a\pm b)^2=a^2\pm2ab+b^2

Now, if we expand choice D, we should get this. Let's expand:

\begin{gathered} (x+2)^2=-11 \\ x^2+2(1)(2)+(2)^2=-11 \\ x^2+4x+4=-11 \\ x^2+4x+4+11=0 \\ x^2+4x+15=0 \end{gathered}

You might be interested in
gabriel put 6000 in a 2 year CD paying 4% interest, compounded monthly. After 2 years , he withdrew all his money. what was the
shutvik [7]

amount after 2 years   = 6000(1 + (0.04/12))^24  = 6498.86
7 0
3 years ago
Read 2 more answers
Which relation is a function?
andrey2020 [161]

Answer:

the one that looks like a V

1. take a ruler

2.move it across the graph

3.see if it crosses twice

ex:if it is a straight line than it wont work if it is like a V shape it will work

7 0
3 years ago
Read 2 more answers
This math my graduation depends on it
In-s [12.5K]

In an arithmetic sequence, consecutive terms have a fixed distance d between them. If a₁ is the first term, then

2nd term = a₂ = a₁ + d

3rd term = a₃ = a₂ + d = a₁ + 2d

4th term = a₄ = a₃ + d = a₁ + 3d

and so on, up to

nth term = a_n = a_{n-1} + d = a_{n-2} + 2d = a_{n-3} + 3d = \cdots = a_1 + (n-1)d

so that every term in the sequence can be expressed in terms of a₁ and d.

6. It's kind of hard to tell, but it looks like you're given a₁₃ = -53 and a₃₅ = -163.

We have

a₁₃ = a₁ + 12d = -53

a₃₅ = a₁ + 34d = -163

Solve for a₁ and d. Eliminating a₁ and solving for d gives

(a₁ + 12d) - (a₁ + 34d) = -53 - (-163)

-22d = 110

d = -5

and solving for a₁, we get

a₁ + 12•(-5) = -53

a₁ - 60 = -53

a₁ = 7

Then the nth term is recursively given by

a_n = a_{n-1}-5

and explicitly by

a_n = 7 + (n-1)(-5) = 12 - 5n

7. We do the same thing here. Use the known terms to find a₁ and d :

a₁₉ = a₁ + 18d = 15

a₃₈ = a₁ + 37d = 72

⇒   (a₁ + 18d) - (a₁ + 37d) = 15 - 72

⇒   -19d = -57

⇒   d = 3

⇒   a₁ + 18•3 = 15

⇒   a₁ = -39

Then the nth term is recursively obtained by

a_n = a_{n-1}+3

and explicitly by

a_n = -39 + (n-1)\cdot3 = 3n-42

8. I won't both reproducing the info I included in my answer to your other question about geometric sequences.

We're given that the 1st term is 3 and the 2nd term is 12, so the ratio is r = 12/3 = 4.

Then the next three terms in the sequence are

192 • 4 = 768

768 • 4 = 3072

3072 • 4 = 12,288

The recursive rule with a₁ = 3 and r = 4 is

a_n = 4a_{n-1}

and the explicit rule would be

a_n = 3\cdot4^{n-1}

7 0
2 years ago
How many arrangements can be made using 3 letters of the word NETFLIX if no letter is to be used more than once?
Rina8888 [55]

Answer:2

Step-by-step explanation:

0 0
2 years ago
These two triangles are similar, what does x equal?
mylen [45]

Answer:

2

Step-by-step explanation:

21 divided by 7 is 3 and 14 divided by 7 is 2

we know its 7 because both 14 and 21 can be divided by 7

4 0
3 years ago
Other questions:
  • What the Answer please?
    11·1 answer
  • Drag each expression to show whether it is equivalent to 54x + 18, 18(3x – 1), or (6 • 9x) + (6 • 1).
    12·2 answers
  • A list of numbers in a specific order
    12·1 answer
  • Any thoughts im really confused on it
    5·1 answer
  • What kind of questions should you ask during an interview
    14·1 answer
  • I need to find the distance/measures, use the distance formula below to solve it. Thanks!! First answer will get BRAINLIEST
    12·1 answer
  • Identify the equation in slope-intercept form for the line containing the point (2,1) and parallel to y=53x−13.
    13·1 answer
  • The quotient of 37.2/6 is?
    5·2 answers
  • Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Roun
    7·1 answer
  • Find the value of 7⁴​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!