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stiv31 [10]
4 years ago
15

Which graph represents the solution set of the system of inequalities?

Mathematics
1 answer:
Georgia [21]4 years ago
6 0
To find out, graph them, analyze, and check.
Graph them. 
You get the graph below. 
Check the answers. 
It looks like B matches. 
So, the answer is B.

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Please help me with this problem!!!
Lilit [14]

3  {}^{4x  - 5}  = ( \frac{1}{27} ) {}^{2x + 10}  \\ note  \: \: that =  \\ ( \frac{1}{27} ) = ( \frac{1}{3 {}^{3} } ) = 3 {}^{ - 3}  \\  \\ 3 {}^{4x - 5}  = (3 {}^{ - 3} )  {}^{2x + 10}  \\ 3 {}^{4x + 5}  = 3 {}^{ - 3(2x + 10)}  \\ equal \:  \: bases =  > equal \: exponents

4x - 5 =  - 3(2x + 10) \\ 4x - 5 =  - 6x - 30 \\ 4x  + 6x =  - 30 + 5 \\ 10x =  - 25 \\ x =   - 2.5

7 0
2 years ago
Read 2 more answers
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate
yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)

C'(x) = (-\dfrac{12500}{x^2})  + 20  --- (2)

At C'(x) = 0

\dfrac{12500}{x^2} = 20

\dfrac{12500}{20} = x^2

x^2= 625

x = \sqrt{625}

x = 25

C'' (x) = -12500 \times \dfrac{-2}{x^3} +0

C'' (x) = \dfrac{25000}{x^3}

where; x = 25

C'' (x) = \dfrac{25000}{25^3}

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0
3 years ago
A golfer takes two putts to get the ball into the hole. The first putt rolls the ball 10.3 feet in the northwest direction and t
creativ13 [48]

Let's put this on the usual Cartesian grid just so we can talk about it without drawing a picture.  We'll use map conventions, right is east, up is north.

The ball starts at (0,0).   10.3 feet northwest means we have an isosceles right triangle whose diagonal is 10.3 feet.  It's isosceles because northwest means equal parts north and west.   

The sides of these triangles are in ratio 1:1:\sqrt{2} so the coordinates after the first putt are

(- 10.3 / \sqrt{2}, 10.3 / \sqrt{2})

The negative sign indicates west, which doesn't really matter for this problem.  The distance from the origin to this point is 10.3 as required.

Now a second putt of 3.8 feet north puts us at
 
(- 10.3 / \sqrt{2}, 10.3 / \sqrt{2} + 3.8)

The squared distance to the origin is exactly

d^2 = 10.3^2/2 + (10.3 / \sqrt{2} + 3.8)^2

A little calculator work tells us

d \approx 13.2621

Third choice.



3 0
3 years ago
Colton has 8 comedy movies, 6 action movies, 5 fantasy movies, and 1 drama movie on his list of favorite movies.
Alla [95]

Answer:

For every 5 movies on the list there are 2 comedy movies

7 0
3 years ago
Read 2 more answers
Which of these numbers is divisible by 2 A. 2612 B.1241 C.4263
julia-pushkina [17]

Answer:

A. 2612

cause 2612 is a even number

6 0
3 years ago
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