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ololo11 [35]
3 years ago
9

1.Solve the inequality (x-2)(x+1) ≥ 0 .

Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

#1: inequality form: x ≤ –1 or x ≥ 2

interval notion: ( -∞,-1] U [2,∞)

#2: false/no solution

#3: A) point form: (3,9)(-1,1)

equation form: x= 3,y=9 and x= -1,y=1

B)point form: (1,7)(7,1)

equation form: x=1,y=7 and x=7,y=1

Step-by-step explanation:

#1: solve for x by simplifying both sides of the inequality, then isolating the variable.

#2: N/A

#3: solve for the first variable in one of the equations, then substitute the results into the other question.

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The product of two positive consecutive numbers is 42. What is the smaller number?
Temka [501]
X = first integer, y = second integer (right after x)

since y is right after x, we can say
y = x+1

If the product of the two integers (x and y) is 42, then
x*y = 42
x*( y ) = 42
x*( x+1 ) = 42 ... y is replaced with x+1
x*x + x*1 = 42
x^2 + x = 42
x^2 + x - 42 = 0
(x + 7)(x - 6) = 0 ... factor
x + 7 = 0 or x - 6 = 0
x = -7 or x = 6

The result must be positive as the problem states it, so we toss out x = -7
The only answer is x = 6

If x = 6, then
y = x+1
y = 6+1
y = 7

The two consecutive numbers are 6 and 7

The final answer is 6

Sure enough, 6*7 = 42 checks out
8 0
3 years ago
at the car wash fundraiser jenna's team washed 14 cars in 45 minutes. if they keep up at that rate, how many cars can the team w
s2008m [1.1K]
You can write it as a proportion and then solve the proportion. 
(2.5 hours is 150 minutes)
14 cars          x cars
--------------- = -------------------
45 minutes    150 minutes

Then solve.

x=46.6666666
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4 0
3 years ago
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allsm [11]
∠DOC is the average of the given angle values,
  (170° +44°)/2 = 107°

∠DOB is the supplement to that,
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The appropriate choice is
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5 0
3 years ago
Answer this and I give more points
SVEN [57.7K]

9) C.

10)A.

11) $75

Those are all the answers that you needed.

5 0
3 years ago
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ANEK [815]

Answer:

x ≥ $40

Step-by-step explanation:

Jackie didn't spend more than $40 on a video.

x ≥ $40

7 0
3 years ago
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