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nevsk [136]
4 years ago
10

Solve the inequality. 1/2y +6<0

Mathematics
1 answer:
Assoli18 [71]4 years ago
7 0
\dfrac{1}{2}y+6 < 0\ \ \ \ |-6\\\\\dfrac{1}{2}y < -6\ \ \ \ |\cdot2\\\\\boxed{y < -12\to y\in(-\infty;-12)}
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Order them from least to greatest<br><br> 5(exponent 0), 5(exponent 4), and 5(exponent -5)
Tresset [83]

5^-5, 5^0, 5^4

Explanation:

5^-5 would end up being in the negatives,

5^0 would end up equaling 5 or 0

5^4 is automatically more than 5^0 because 4 is greater than 0.

4 0
3 years ago
8(− <br> 2<br> 3<br> ​ <br> x + 6) = −9( <br> 3<br> 4<br> ​ <br> x − 8)
Travka [436]

Answer:

x=12/61

Step-by-step explanation:

subtract 48 from both sides

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add 306 x to both sides

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4 0
3 years ago
What transformation to the linear parent function, f(x) = x, gives the function g(x) = x + 8?
NeTakaya

Answer:

Shift 8 units up

Step-by-step explanation:

The given function is;

f(x)=x

and

g(x)=x+8

The function f(x) has its y-intercept at y=0.

The function g(x)=x+8 has its y-intercept at y=8

This implies that; the linear parent function f(x)=x is shifted up 8 units to obtain g(x)=x+8.

5 0
3 years ago
Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).
MrMuchimi

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

7 0
3 years ago
(0,-1) and (3,-5)<br> Write in point slope form an equation of the line through each pair of points
natali 33 [55]

Answer:

y=\frac{-4}{3}x-1

Step-by-step explanation:

slope:

\frac{y2-y1}{x2-x1} \\=\frac{-5+1}{3}=\frac{-4}{3}

point slope formula:

y-y1=m(x-x1)

y-(-1)=\frac{-4}{3}(x-0)

y+1=\frac{-4}{3}x

y=\frac{-4}{3}x-1

4 0
3 years ago
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