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PIT_PIT [208]
3 years ago
9

Solve this compound inequality 5p ≥ 10 or -2p < 10

Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0

Answer:

5p\ge \:10 :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:p\ge \:2\:\\ \:\mathrm{Interval\:Notation:}&\:[2,\:\infty \:)\end{bmatrix}\\\\\\-2p-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-5,\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

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WILL GIVE BRAINLIEST, 5/5 RATING, AND FAVORITE.
CaHeK987 [17]

Answer:

y = -\frac{1}{2}x + 2

Step-by-step explanation:

Assume this is function is a straight line, consider the equation of the straight line: y=mx + c

To find the gradient of the equation, we use any two coordinates from the table. (x_1,y_1) = (6,-1)\\(x_2,y_2) =(2,1)

m = \frac{y_1 - y_2}{x_1 - x_2}\\\\m = \frac{1-(-1)}{2-6}\\\\m=\frac{2}{-4} \\\\m=- \frac{1}{2}

We substitute the value of m in the equation:

y =mx+c\\y = - \frac{1}{2} x + c\\\\

To find c, we use the leftover coordinates, (4,0) in the equation above:

y = -\frac{1}{2}x+c\\\\0 = -\frac{1}{2} \times 4+c\\\\0 = -2 + c\\\\c=2\\\\

Substitute this value of c in the equation to get the function:

y = -\frac{1}{2}x + 2

4 0
3 years ago
Diego is solving the inequality 100 − 3x ≥ -50. He solves the equation 100 − 3x = -50 and gets x = 50. What is the solution to t
ZanzabumX [31]

Answer:

x≤50

Step-by-step explanation:

100-3x≥-50

subtracting 100 at both side on inequality

-100+100-3x≥--50-100

-3x≥-150

Dividing both sides by 3

-3x/3≥-150/3

-x≥--50

Adding 50 on both sides

-x+50≥-50+50

-x+50≥0

Adding x on both sides

-x+x+50≥0+x

50≥x

so,

x≤50

7 0
3 years ago
Read 2 more answers
Solve the fallowing equation algebraically. Show your work<br> 6=x+2<br> ------<br> 3
Yanka [14]
6 = x + 2
Subtract 2 from both sides
6 - 2 = x + 2 - 2
4 = x
6 0
4 years ago
Mike earned 20 for each lawn mowed and chris earned 15 for each lawn mowed. The teacher also gave them 50 dollars extra to help
Ad libitum [116K]

20 x 10 + 50 = m(ike)

15 x 10 + 50 = c(hris)

200 + 50 = 250

150 + 50 = 200

250 + 200 = 450

450 is 50 less than 500, so no. They do not have enough money for the trip.

6 0
3 years ago
Maria is making a scale drawing of her basement, which is 12 yards long. if she let's 1/2 inch represent 1 yard how many inches
andrezito [222]

Answer:

the correct answer would be 6 inches.

Step-by-step explanation:

12*.5=6


7 0
3 years ago
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