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2 years ago

Find the y-intercept and x-intercept of the line.

1 answer:

7 0

5x - 7y = -12

x-intercept: y = 0
5x = -12
x = -12/5
so x-intercept: (-12/5 , 0)

y-intercept: x = 0
-7y = -12
y = -12/-7
y = 12/7
so y-intercept: (0 , 12/7)

answer
x-intercept: (-12/5 , 0)
y-intercept: (0 , 12/7)

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2 years ago

X + 4 is prime x2 – 9 can be factored using the formula.

Anna71 [15]

We are given two binomials: x+4 , x^2-9.

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Now, we can apply difference of the squares formula to factor it.

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2 years ago

Read 2 more answers

What would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2

allsm [11]

Answer:

a=3,b=5

Step-by-step explanation:

$\frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} }$

so as you got it:

$\frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5$

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2 years ago

X=7^y how can you rewrite this equation in y = form ?

Anuta_ua [19.1K]

Answer:

y = lnx / ln 7.

Step-by-step explanation:

x = 7^y

Take logarithms of both sides:

ln x = ln 7^y

ln x = y ln 7 ( because ln a^b = b ln a. One of the Laws of Logarithms).

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2 years ago

A concert hall has 12 seats in the first row, 14 seats in the second row, 16 seats in the third row, and so on. If the pattern c

Marrrta [24]

Given:

The number of seats in the first row is a₁ = 12.

The series of the increasing number of seats is 12, 14, 16......

The objective is to find the total number of seats in the first 12 rows.

Explanation:

The difference between the number of seats in each row can be calculated by the difference between the successive terms of the series.

$\begin{gathered} d=14-12=2 \\ d=16-14=2 \end{gathered}$

The number of rows to be calculated is n = 12.

To find the number of seats:

The number of seats presents in the first 12 rows can be calculated as,

$S_n=\frac{n}{2}\lbrack2a_1+(n-1)d\rbrack$

On plugging the obtained values in the above equation,

$\begin{gathered} S_{12}=\frac{12}{2}\lbrack2(12)+(12-1)2\rbrack \\ =6\lbrack24+11(2)\rbrack \\ =6(46) \\ =276 \end{gathered}$

Hence, the total number of seats in the first 12 rows is 276.

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5 months ago