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mixas84 [53]
2 years ago
9

What is the position number of the term 125 in the sequence f(n) = 2n+3?

Mathematics
1 answer:
spin [16.1K]2 years ago
8 0

Answer:

61st term in the sequence

Step-by-step explanation:

125 = 2n + 3

122 = 2n

n = 61

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solniwko [45]

Answer:

The last option

Step-by-step explanation:

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2 years ago
30 POINTS! Consider the system of linear equations and the matrix equations below.
fiasKO [112]

Answer:

Option C is correct.

Step-by-step explanation:

-x+3y=2

4x-2y=22

In matrix form is represented as:

\left[\begin{array}{cc}-1&3\\4&-2\end{array}\right] \left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}2&22\end{array}\right]

AX=B

X = A^{-1}B

A^{-1} = |A|/Adj A

|A| = (-1)(-2)-(3)(4)

|A| = 2-12

|A| = -10

Adj A = \left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]

A^-1 = -1/10\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]

A^-1 = 1/10\left[\begin{array}{cc}2&3\\4&1\end{array}\right]

X= A^-1 B

X = 1/10\left[\begin{array}{cc}2&3\\4&1\end{array}\right]\left[\begin{array}{c}2&22\end{array}\right]

X=1/10X=1/10\left[\begin{array}{c}2*2+3*22\\4*2+1*22\end{array}\right]\\X=1/10\left[\begin{array}{c}4+66\\8+22\end{array}\right]\\X=1/10\left[\begin{array}{c}70\\30\end{array}\right]\\X=\left[\begin{array}{c}70/10\\30/10\end{array}\right]\\X=\left[\begin{array}{c}7\\3\end{array}\right]

So, x = 7 and y =3

Hence Option C is correct.

4 0
3 years ago
Read 2 more answers
Amira is told there is a trick to finding the slope within an equation in standard form, Ax+By=C. She is told she can rewrite th
Advocard [28]

Answer:

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

Step-by-step explanation:

<u>Let's convert the standard equation into slope-intercept form:</u>

  • Ax + By = C              ⇒ subtract Ax from both sides
  • By = -Ax + C             ⇒ divide both sides by B
  • y = -A/Bx + C/B        ⇒ converted to slope- intercept form

As we see the slope is -A/B

<u>The equation 7x + 9y = 14 is converted as:</u>

  • y = -7/9x + 14/9, where the slope is -7/9

<u>Looking at the answer options and the correct one is option B, where both identification of slopes match.</u>

  • B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

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3 years ago
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Answer: 6. x=29yd 7. x-6.5cm


Step-by-step explanation:

6. All the sides of the square are equal (we know this because of the little lines on the sides), and the equation for finding the hypotanuse of a triangle is a^2+b^2=c^2. That's 20^2+21^2=x^2. That simplifies to 841^2=x^2, which then simplifies to x=29.


7. The bottom of the triangles are the same length, so each one is 2.5cm long. The angles are also the same, which means that the triangles are equal, so we have 2 similarities between the triangles, so they are both the same (You'll learn why later in math)

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