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
d1i1m1o1n [39]
2 years ago
9

Find the common difference of the arithmetic sequence –9,–13, -17,...​

Mathematics
1 answer:
Semenov [28]2 years ago
6 0

Answer:

-4

Step-by-step explanation:

t2 - t1

-13 - (-9)

-13 + 9

= -4

You might be interested in
Pls help I will mark brainlist if correct !! :)
Kruka [31]

Answer:

a and b

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
EVALUATE SQUARE ROOTS asap
Kamila [148]
1.
√(16+20)=√36=6
C

2.
√(21-9)=√(12)=(√4)(√3)=2√3
B

3. 2*√3=2*1.73205=3.464
B



1.C
2.B
3.B
8 0
3 years ago
Write the polynomial f(x)=x^4-10x^3+25x^2-40x+84. In factored form
Verizon [17]
<h2>Steps:</h2>

So firstly, to factor this we need to first find the potential roots of this polynomial. To find it, the equation is \pm \frac{p}{q}, with p = the factors of the constant and q = the factors of the leading coefficient. In this case:

\textsf{leading coefficient = 1, constant = 84}\\\\p=1,2,3,4,6,7,12,14,21,28,42,84\\q=1\\\\\pm \frac{1,2,3,4,6,7,12,14,21,28,42,84}{1}\\\\\textsf{Potential roots =}\pm 1, \pm 2,\pm 3,\pm 4,\pm 6, \pm 7,\pm 12,\pm 14,\pm 21,\pm 28,\pm 42,\pm 84

Next, plug in the potential roots into x of the equation until one of them ends with a result of 0:

f(1)=(1)^4-10(1)^3+25(1)^2-40(1)+84\\f(1)=1-10+25-40+84\\f(1)=60\ \textsf{Not a root}\\\\f(2)=2^4-10(2)^3+25(2)^2-40(2)+84\\f(2)=16-10*8+25*4-80+84\\f(2)=16-80+100-80+84\\f(2)=80\ \textsf{Not a root}\\\\f(3)=3^4-10(3)^3+25(3)^2-40(3)+84\\f(3)=81-10*27+25*9-120+84\\f(3)=81-270+225-120+84\\f(3)=0\ \textsf{Is a root}

Since we know that 3 is a root, this means that one of the factors is (x - 3). Now that we know one of the roots, we are going to use synthetic division to divide the polynomial. To set it up, place the root of the divisor, in this case 3 from x - 3, on the left side and the coefficients of the original polynomial on the right side as such:

  • 3 | 1 - 10 + 25 - 40 + 84
  • _________________

Firstly, drop the 1:

  • 3 | 1 - 10 + 25 - 40 + 84
  •     ↓
  • _________________
  •     1

Next, multiply 3 and 1, then add the product with -10:

  • 3 | 1 - 10 + 25 - 40 + 84
  •     ↓ + 3
  • _________________
  •     1  - 7

Next, multiply 3 and -7, then add the product with 25:

  • 3 | 1 - 10 + 25 - 40 + 84
  •     ↓ + 3  - 21
  • _________________
  •     1  - 7 + 4

Next, multiply 3 and 4, then add the product with -40:

  • 3 | 1 - 10 + 25 - 40 + 84
  •     ↓ + 3  - 21 + 12
  • _________________
  •     1  - 7  +  4  - 28

Lastly, multiply -28 and 3, then add the product with 84:

  • 3 | 1 - 10 + 25 - 40 + 84
  •     ↓ + 3  - 21 + 12  - 84
  • _________________
  •     1  - 7  +  4  - 28 + 0

Now our synthetic division is complete. Now since the degree of the original polynomial is 4, this means our quotient has a degree of 3 and follows the format ax^3+bx^2+cx+d . In this case, our quotient is x^3-7x^2+4x-28 .

So right now, our equation looks like this:

f(x)=(x-3)(x^3-7x^2+4x-28)

However, our second factor can be further simplified. For the second factor, I will be factoring by grouping. So factor x³ - 7x² and 4x - 28 separately. Make sure that they have the same quantity inside the parentheses:

f(x)=(x-3)(x^2(x-7)+4(x-7))

Now it can be rewritten as:

f(x)=(x-3)(x^2+4)(x-7)

<h2>Answer:</h2>

Since the polynomial cannot be further simplified, your answer is:

f(x)=(x-3)(x^2+4)(x-7)

6 0
3 years ago
Find the value of x. NO LINKS AT ALL!! ​
lyudmila [28]

Answer:

x= -7

The whole thing is just an awkward mirror but the lower triangle has an angle that is 1 degree smaller so the whole lower section is going to be bigger or smaller and the angle that mirrors the 80 degree angle is now 79 degrees which makes the other angle on that line 1 degree bigger which would be 101 so you put it in the expession to make it the equation -12x+17=101 and you solve for x which you would then get -7.

5 0
2 years ago
Read 2 more answers
Please help I’m a little confused
Mariana [72]

Answer:

1440°

Step-by-step explanation:

n = number of sides

n-2 x 180

10 - 2 = 8

8 x 180 = 1440°

4 0
3 years ago
Other questions:
  • Nutritional researchers conducted an investigation of two high-fiber diets intended to reduce cholesterol level. a group of peop
    15·2 answers
  • A set of data points has a line of best fit of y=-0.2x+1.8. What is the residual for the point (5,1)?
    9·2 answers
  • How much more is five ninth’s greater than 4 fifteenths
    7·1 answer
  • Four times a number minus five, is equal to three times a number plus three
    7·2 answers
  • PLEASE HELLLLPPPP (
    7·1 answer
  • An algebraic equation is an equation that includes: A. No variables B. Only one variable C. One or more variables D.Just numbers
    9·1 answer
  • What is the four types of angles?​
    10·2 answers
  • PLEASE HELP! ! ! urgent!
    8·1 answer
  • A bus carried 80passengers 40% of them were women ,12 passengers were children . How many men were there.​
    10·1 answer
  • I cant figure this out
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!