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Natalka [10]
3 years ago
15

A sequence can be described using the rule an = –2 + 3(n-1). Which is the

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Answer:The 20th term of the arithmetic sequence is 55

Step-by-step explanation:

A sequence can be described using the rule:

an = –2 + 3(n-1)

Where

an is the value of the nth term of the arithmetic sequence.

- 2 is the first term of term of the sequence.

n is the number of terms in the sequence.

To determine the 20th term, we will substitute n = 20 into the equation. It becomes

a20 = - 2 + 3(20 - 1)

a20 = - 2 + 3×19

a20 = -2 + 57 = 55

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What is the axis of symmetry for f(x) = 2x2 − 4x + 5?
Romashka-Z-Leto [24]

Answer:

Axis of symmetry is

C) x = 1

Step-by-step explanation:

we are given equation as

2x^2 -4x+5

we can use axis of symmetry formula

Let's assume we are given quadratic equation as

y=ax^2+bx+c

Axis of symmetry is

x=-\frac{b}{2a}

now, we can compare both equations

and we get

a=2,b=-4

now, we can find axis of symmetry

x=-\frac{(-4)}{2\times 2}

x=-\frac{(-4)}{4}

x=1

5 0
3 years ago
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Let 3x^2+kx+4. determine all values of k such that the quadratic equation f(x) =0 has one real root
user100 [1]
//I'll use the discriminant rule for this.
b^2 - 4ac = 0 when one real root

Therefore, k^2 - 4*3*4= 0
k^2 = 48
k= +-4√3
7 0
3 years ago
Solve the equation.<br><br> 2(3z-2)+8=34<br><br> A. z=3<br> B. z=-3<br> C. z=-4<br> D. z=5
levacccp [35]
<span>2(3z-2)+8=34
6z - 4 + 8 = 34
6z + 4 = 34
6z = 34 -4
6z = 30
z =30/6
z = 5

answer </span><span>D. z=5</span>
6 0
3 years ago
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The tangent of an angle is 3.4. what is the measure of the angle to the nearest tenth?
Amiraneli [1.4K]

To answer this question, you first need to know what SohCahToa is.

S- opposite over hypotenuse

C- adjacent over hypotenuse

T- opposite over adjacent

In this situation, they have made it easier for you as they have given you the quotient of the opposite and adjacent sides (3.4) . Now in order to find an angle, you take the inverse of your expression. So instead of just Tan, you would plug in Tan^-1. So plug it in:

Tan^-1 (3.4)

Answer is 73.6 degrees.

3 0
3 years ago
What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?
masya89 [10]

We have to determine the complete factored form of the given polynomial

f(x)=6x^3-13x^2-4x+15.

Let x= -1 in the given polynomial.

So, f(-1)= 6(-1)^3-13(-1)^2-4(-1)+15 = -6-13+4+15 = 0

So, by factor theorem

(x+1) is a factor of the given polynomial.

So, dividing the given polynomial by (x+1), we get quotient as 6x^2-19x+15.

So, 6x^3-13x^2-4x+15 = (x+1)6x^2-19x+15.

= (x+1)(6x^2-10x-9x+15)

=(x+1)[ 2x(3x-5)-3(3x-5)]

= (x+1)(2x-3)(3x-5) is the completely factored form of the given polynomial.

Option D is the correct answer.

5 0
2 years ago
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