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larisa [96]
3 years ago
15

Find the equation of the line:

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x - 2

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The product of two consecutive odd integers is 1 less than four times their some. find the two integers.
nignag [31]
2 consecutive odd integers.....x and x + 2.....the product means multiply....the sum means add.

x(x + 2) = 4(x + x + 2) - 1
x^2 + 2x = 4(2x + 2) - 1
x^2 + 2x = 8x + 8 - 1
x^2 + 2x = 8x + 7
x^2 + 2x - 8x - 7 = 0
x^2 - 6x - 7 = 0
(x - 7)(x + 1) = 0

x - 7 = 0            x + 2 = 7 + 2 = 9
x = 7
 
x + 1 = 0           x + 2 = -1 + 2 = 1
x = -1

there can be 2 answers for this....
(1) 7 and 9
(2) -1 and 1
7 0
3 years ago
The odometer of the family car shows 15,951 miles. The driver noticed that this number is palindromic: it reads the same backwar
ludmilkaskok [199]
The next palindromic number is 16061, so he traveled 110 miles. 110 miles/2 hours = 55 mph.
5 0
4 years ago
(x^3- 2x^2 - 1) /( x - 1)
lesya [120]

Answer:

Quotient= x^2 + x + 1

Remainder= 0

Step-by-step explanation:

4 0
4 years ago
What is the equatipn of the linear graph?<br> (-4, 6).<br> (1, -9)
dusya [7]

Answer:

y = -3x - 6

Step-by-step explanation:

first, find the slope

(-4, 6)

(1, -9)

remember the equation for the slope

\frac{y_{2}-y_{1}}{x_{2} - x_{1}} }

insert given points

x_{1} = -4\\y_{1} = 6\\\\x_{2} = 1\\y_{2} = -9

((-9) - (6)) / ((1) - (-4))

simplify

( -9 - 6) / (1 + 4)

= -15/ 5

= -3

now insert it into the equation of the line

remember, the equation of the line is

y = mx + b

where "m" is the slope

and "b" is the y-intercept

to find "b", you just have to plug in a point that is found on the line

we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem

y = mx + b

substitute in the slope of this line

y = -3x + b

now substitute in the given points

6 = -3 * -4 + b

and solve it like any algebra problem, by inverse operations and simplifying

6 = 12 + b

-12      -12

-6 = b

so the equation of the line is

y = -3x -6

3 0
3 years ago
Is (0,0) a solution of the system y&gt;x and x+y&gt;0?
olga55 [171]
Plug the values (x,y)=(0,0) into the inequalities:

y\ \textgreater \ x \\&#10;0\ \textgreater \ 0 \\&#10;not \ true \\ \\&#10;x+y\ \textgreater \ 0 \\&#10;0+0\ \textgreater \ 0 \\&#10;0\ \textgreater \ 0 \\&#10;not \ true

0 isn't greater than 0, no (0,0) is not a solution to either of these inequalities.

The answer is D.
8 0
3 years ago
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