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Kisachek [45]
3 years ago
12

For which values of x is the inequality 3(1 + x) < x + 6 true?

Mathematics
2 answers:
ra1l [238]3 years ago
3 0

Answer: (0,1)

Step-by-step explanation:

3*(1+x)<x+6

3*1+3*x<x+6

3+3x<x+6

-x        -x

2x+3<6

-3      -3

2x<3

x<3/2

so x<1.5

on (0,1) the inequality is true

zepelin [54]3 years ago
3 0
If you were to substitute these numbers in the equation, the only numbers you would get is (0,1)

ANSWER:A) 2& amp; 1
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A car dealer has 8 rows of cars with 16 cars in each. In each of the first 3 rows, 6 are used cars. The rest of the cars new car
qwelly [4]

The answer is 110 because if you multiply 8•16=128 and 18 cars are used, you subtract 128-18 which is 110.

8 0
3 years ago
Line AC is tangent to circle O at point C<br> What is the measure of OAC?
Nuetrik [128]
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees

The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180

Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees

Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90. 
7 0
3 years ago
What is the final amount if 468 is increased by 8% followed by a further 9%
bixtya [17]

Answer:

The final amount is  550.93.

Step-by-step explanation:

Here, the given amount is 468.

Now 8% of the given amount is \frac{8}{100}  \times 468  = 37.44

⇒ 8% of 468 =  37.44

So, the New amount = Initial Amount  + 8% increase

                                  = 468. +  37.44   = 505.44

Now 9 % of the new  amount 505.44  is

[tex]\frac{9}{100}  \times 505.44  = 45.4896/tex]

⇒ 9% of 505.44  = 45.4896

So, the Final  amount = New Amount  + 9% increase

                                     =  505.44 +   45.4896   = 550.93

Hence,  final amount is  550.93.

7 0
3 years ago
I need answer as quick
Novosadov [1.4K]

Answer:

C

Step-by-step explanation:

(x+7)(x+1)(x+4)=

x^3+12x^2+39x+28 or C

3 0
3 years ago
Read 2 more answers
What is the greatest common factor (GCF) of 28 and 96?
victus00 [196]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
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