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RideAnS [48]
3 years ago
15

Which number is a natural number? 10 5.5 –45 0

Mathematics
1 answer:
ehidna [41]3 years ago
8 0
A natural number is 10

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Given the system of constraints name all vertices. Then find the maximum value of the given objective
larisa86 [58]

Answer:

35

Step-by-step explanation:

The constraints are

The red line represents the function

y\leq \dfrac{1}{3}x+1

At y=0

0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3

At x=0

y=0+1\\\Rightarrow y=1

Two points are (-3,0),(0,1)

The blue line represents the function

5\geq y+x

at y=0

5=x

at x=0

y=5

Two points are (5,0),(0,5)

The other two constraints are x\geq 0, y\geq 0. So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

(3,2)

7x-2y=7\times 3-2\times 2=17

(5,0)

7x-2y=7\times 5-2\times 0=35

So, the maximum value of the function is 35.

3 0
3 years ago
Consider the first 2 terms of the sequence -6, 18,...
____ [38]

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

5 0
3 years ago
The line that goes horizantally (left to right) across the graph is called what? *
kodGreya [7K]

Step-by-step explanation:

horizontal line I believe

5 0
3 years ago
What is the slope-intercept equation of the line below? y - i ntercept = (0, - 4) slope = 3
Artist 52 [7]

Answer:

y = 3x -4

Step-by-step explanation:

The slope-intercept equation looks like this: y = mx +b. Where m is the slope of the function and b is the y-coordinate of the vertical intercept (where the function crosses the y-axis). Let's apply the formula:

y = mx +b

y = 3x +(-4)

y = 3x -4

4 0
3 years ago
James has to fill 40 water bottles for the soccer team. Each bottle holds 500 milliliters of water. How many liters of water doe
Mandarinka [93]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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