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2 years ago

Solve -3x - 4y = -1 for y

Mathematics

2 answers:

MrRissso [65]2 years ago

7 0

Answer:

y=1/4-3x/4 is your answer

mrs_skeptik [129]2 years ago

3 0

Answer:

Your answer would be y=1/4-3x/4

Step-by-step explanation:

You might be interested in

What is (-8)to the power of 2 equal??

Vladimir79 [104]

(-8)^2
(-8)(-8)
64

Hope this helps!

3 0

2 years ago

Read 2 more answers

Plz help me with dis its one question

tatiyna

Answer:

Alix does. See below.

Step-by-step explanation:

Givens

Jenny

b1 = 90 cm
b2 = 80 cm
height = 23 cm

Alex

b1 = 90 cm
b2 = 70 cm
height = 27 cm

Formula

For both territories the answer is based on the formula

Area = (b1 + b2)*h/2

Solution

Jenny

Area = (90 + 80)23/2
Area = 170 * 23 / 2
Area = 85 * 23
Area = 1955 units.

Alex

Area = (70 + 90)*27/2
Area = 160*27 / 2
Area = 80* 27
Area = 2160

Alix does by 205 cm

7 0

3 years ago

ABC Bookstore uses a storage unit that measures 13 ft x 16 ft x 12 ft. What is

Ludmilka [50]

Answer:

2496 cubic feet

Step-by-step explanation:

Dimension of storage unit 13 ft x 16 ft x 12 ft.

Since there are three sides it can be safely assumed that storage unit is rectangular in shape.

Volume of rectangular body is given by length * width * height

Using the above formula in the given dimension we have

volume of storage unit = length of storage unit * width of storage unit * height of storage unit

volume of storage unit = 13 ft * 16 ft * 12 ft = 2,496 cubic feet

5 0

3 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

The lines below are perpendicular if the slope of the solid line is 4 what is the slope of the dashed line

const2013 [10]

Answer:

The slope of the dashed line is $-\frac{1}{4}$

Step-by-step explanation:

Perpendicular lines and slopes:

If two lines are perpendicular, the multiplication of their slopes is -1.

What is the slope of the dashed line

Perpendicular to a line with slope 4, so:

$4m = -1$

$m = -\frac{1}{4}$

The slope of the dashed line is $-\frac{1}{4}$

8 0

3 years ago