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liq [111]
3 years ago
13

The graph shows the solution for which inequalities?

Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

Inequalities are,

y ≥ 4x + 2

y ≥ 2

Step-by-step explanation:

Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).

Let the equation of this line is,

y = mx + b

Slope of the line = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

                      m = \frac{2+2}{1-0}

                      m = 4

Y-intercept 'b' = -2

Equation of the line will be,

y = 4x - 2

Since shaded area is on the left side of this solid line so the inequality representing this region will be,

y ≥ 4x - 2

Another line is a solid blue line parallel to the x-axis.

Shaded region (blue) above the line will be represented by,

y ≥ 2

Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.

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Evaluate the following expression.<br> 1/5^-2
Romashka [77]
This is how the whole equation goes:
1/x^-a = x^a
So, 1/5^-2 is the same as 5^2, which is 25. 
8 0
3 years ago
Read 2 more answers
Find the value of x to the nearest tenth.
Tju [1.3M]

Answer:

around 4.1

Step-by-step explanation:

Using Pythaogrean theorem we get <em>sqrt 32</em> or <em>4sqrt2 </em>for the diagonal of the square.

To get x we can use Pythagorean theorem again to set up an equation,

32 + x^2 = 49

This gives us x = <em>sqrt17,</em> which is approximately 4.1231 or around 4.1

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3 years ago
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Need an answer thanks in advance​!
slamgirl [31]

Answer:

1806 seats.

Step-by-step explanation:

From the question given above, the following data were obtained:

Row 1 = 24 seats

Row 2 = 27 seats

Row 3 = 30 seats

Total roll = 28

Total number of seat =?

From the above data, we can liken the roll to be in arithmetic progress.

Also, we are asked to determine the total number of seats in the theater.

Thus the sum of the sequence can be written as:

Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e

24 + 27 + 30 +...

Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:

First term (a) = 24

Common difference (d) = 2nd term – 1st term

Common difference (d) = 27 – 24 = 3

Number of term (n) = 28

Sum of the 28th term (S₂₈) =?

Sₙ = n/2 [2a + (n –1)d]

S₂₈ = 28/2 [2×24 + (28 –1)3]

S₂₈ = 14 [48 + 27×3]

S₂₈ = 14 [48 + 81]

S₂₈ = 14 [129]

S₂₈ = 1806

Thus, the number of seats in the theater is 1806.

6 0
3 years ago
What is the slope of a line that is parallel to the line -6y=8x-4?
lesya692 [45]

Answer:

<u>-4</u>

3

Step-by-step explanation:

-6y=8x-4

0=8x+6y-4---(i)

slope (m1)=<u>-coefficient</u><u> </u><u>of</u><u> </u><u>x</u>

coefficient of y

=<u>-8</u>

6

= <u>-4</u>

3

As the lines are parallel,

m1=m2

so,

The slope of line parallel to the line having equation -6y=8x-4 is <u>-4</u>

3

5 0
3 years ago
400 m running race, runner 1 is 1m wide, runner 2 is starting in front of runner 1. Determine how far ahead
Lesechka [4]

Answer:

2m ahead

Step-by-step explanation:

1×2=2m

7 0
3 years ago
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