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sattari [20]
3 years ago
11

Solve the given inequality and graph the solution on a number line.

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0
-\dfrac{x}{2}+\dfrac{3}{2} < \dfrac{5}{2}\ \ \ \ |\cdot2\\\\-x+3 < 5\ \ \ |-3\\\\-x < 2\ \ \ \ |change\ the\ signs\\\\x > -2\to x\in(-2;\ \infty)

Answer\ in\ attachment.

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Find the gcf of 12,30,72
kvv77 [185]

Answer: 6


Step-by-step explanation:

12 = 2^2 • 3

30 = 2 • 3 • 5

72 = 2^3 • 3^2


7 0
3 years ago
At what value of x does the graph of the following function f(x) have a vertical asymptote? f(x)=1/x+3
ratelena [41]

Answer:

d

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 3 = 0 ⇒ x = - 3 ← equation of vertical asymptote

5 0
3 years ago
Read 2 more answers
Please help with this question!!
xxMikexx [17]

\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2\\\\l\perp k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have the points J(-24, -4) and K(-4, 6)}.\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{substitute:}\\\\m_1=\dfrac{6-(-4)}{-4-(-24)}=\dfrac{10}{20}=\dfrac{1}{2}\\\\\text{therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2\\\\\text{The formula of a midpoint:}\\\\\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\\text{substitute the coordinates of the points J and K:}

x=\dfrac{-24+(-4)}{2}=\dfrac{-28}{2}=-14\\\\y=\dfrac{-4+6}{2}=\dfrac{2}{2}=1\\\\\text{midpoint}\ (-14,\ 1)\\\\\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\\text{substitute}\ m=-2,\ x_1=-14\ \text{and}\ y_1=1:\\\\y-1=-2(x-(-14))\\\\\boxed{y-1=-2(x+14)}

8 0
2 years ago
PLS HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
kupik [55]

The correct answers are:

1. 35

2. B.) Rational

3. -88/3 or as a decimal, 29.3 repeating

4. 226.981

5. -6

Hope This Helps!!!

Can I have Brainliest?

5 0
2 years ago
Solve:<br> -8(x - 3) - 4x &lt; 108
Rainbow [258]

Step-by-step explanation:-8x+24-4x<108

108-24

-12x<84

x<7

7 0
3 years ago
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