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Arada [10]
3 years ago
14

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence? A. 1

4/13 B.25/7 C. 4

Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0
There you go hope i helped

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Is the polynomial prime? <br> 7x2-35x+2x-10
wolverine [178]

The given polynomial is not a prime polynomial.

Given the polynomials, we have to choose the polynomial which is prime.

A polynomial with integer coefficients that cannot be factored into lower degree polynomials is Prime polynomials.

7x^2-35x+2x-10

7x^2-33x-10

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

<h3>What is the formula for the quadratic roots?</h3>

\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=7,\:b=-33,\:c=-10

x_{1,\:2}=\frac{-\left(-33\right)\pm \sqrt{\left(-33\right)^2-4\cdot \:7\left(-10\right)}}{2\cdot \:7}

x_{1,\:2}=\frac{-\left(-33\right)\pm \sqrt{\left(-33\right)^2-4\cdot \:7\left(-10\right)}}{2\cdot \:7}

x_{1,\:2}=\frac{-\left(-33\right)\pm \:37}{2\cdot \:7}

x_1=\frac{-\left(-33\right)+37}{2\cdot \:7},\:x_2=\frac{-\left(-33\right)-37}{2\cdot \:7}

x=5,\:x=-\frac{2}{7}

Therefore the factor is (x-5) and (7x+2).

can be factored

∴ not a prime polynomial.

To learn more about the prime polynomial visit:

brainly.com/question/26388060

#SPJ1

4 0
2 years ago
What is 3/7 +1/5 and how would I get it<br>​
Aleks04 [339]

Answer:

22/35

Step-by-step explanation:

3/7 + 1/5

First, find a common denominator.

7*5=35  multiply the numerator by 5 too: 3*5=15

5*7=35  multiply the numerator by 7 too: 1*7=7

15/35 + 7/35

=22/35

Cannot be simplified.

5 0
3 years ago
Read 2 more answers
The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Check all that apply.
Dominik [7]

<u>Answer-</u>

  • YZ = 9 cm
  • XZ=9\sqrt2
  • XZ is the longest segment in triangle XYZ.

<u>Solution-</u>

Triangle XYZ is a right angle triangle with ∠Y=90°

Triangle XYZ is also an isosceles triangle, as

∠X =45°= ∠Z

Therefore, triangle XYZ is a right angle isosceles triangle.

So,

XY = YZ = 9 cm

Applying Pythagoras theorem,

\Rightarrow XZ^2=XY^2+YZ^2\\\\\Rightarrow XZ^2=9^2+9^2\\\\\Rightarrow XZ^2=2\times 9^2\\\\\Rightarrow XZ=\sqrt{2\times 9^2}=9\sqrt2

In a right angle triangle, always the hypotenuse is the largest. So XZ is the longest segment in triangle XYZ.


6 0
3 years ago
Read 2 more answers
(x+6) is a factor of f(x). Solve f(x)=0.<br>x3 - 52x – 96​
Mars2501 [29]
<h3>I'll teach you how to solve f(x)=0x63 - 52x – 96​</h3>

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

f(x)=0x^3 - 52x – 96​

Apply rule:

0 * a= 0

0-52x-96

Group like terms:

-52x+0-96

Add/subtract the numbers:

0-96= -96

-52x-96

Your Answer Is -52x-96

plz mark me as brianliest if this helped :)

6 0
3 years ago
Which type of annuity typically utilizes mutual funds
Vlada [557]
Answer:
variable annuity typically provides mutual funds

Explanation:
1- Annuity is commonly used financial product among the retirees to get regular income.
2- Annuity usually pays a fixed amount each month
3- variable annuity is different because the amount of funds paid each month varies depending on how the investment performs each month.

Hope this helps :)
4 0
3 years ago
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