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3 years ago

12x+7<−11 AND5x−8≥4012

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

8 0

Answer:

No solution

Step-by-step explanation:

Given: $12x+7$ and $5x-8\geq 40$

Solve both inequality separately.

$12x+7$ Subtraction property of inequality

$12x$

$x$

and

$5x-8\geq 40$ Addition property of inequality

$5x\geq 40+8$

$5x\geq 48$

$x\geq \dfrac{48}{5}$

Hence, the solution of the compound inequality intersection of both solutions.

Please find attachment for number line solution.

No solution

Law Incorporation [45]3 years ago

6 0

Answer:

No Solution

Step-by-step explanation:

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Answer:

The desired equation is thus y = 4x + 17

Step-by-step explanation:

The slope-intercept form of the equation of a straight line is y = mx + b. There are two values to find: slope m and y-intercept b.

The line passes through (4, 33). Thus, 33 = m(4) + b.

The line also passes through (1, 21). Thus, 21 = m(1) + b, or m = 21 - b.

Thus we have a system of linear equations to solve, and will use the substitution method:

Substitute 21 - b for m in 33 = 4m + b:

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The desired equation is thus y = 4x + 17

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3 years ago

Slope: 5 Y-Intercept: 7 equation:

Vladimir [108]

Answer:

Y=5x+7

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The

andriy [413]

The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

Step-by-step explanation:

Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:

$\frac{x_1+x_2+.....+x_2_8}{28} = 11$ where $x_1, x_2, ....., x_2_8$ are athletes

⇒ $x_1 + x_2 + .. + x_2_8 = 11(28)= 308$

⇒ $(x_1 + x_2 + .. + x_8 )+ (x_9+x_1_0+...+x_2_8) = 308$

⇒ $(\frac{x_1 + x_2 + .. + x_8}{8} )(8)+ (\frac{x_9+x_1_0+...+x_2_8}{20} )(20) = 308$

⇒ $10.5(8)+m(20) = 308$ , where m is average time of the 20 athletes who did not qualify for the final.

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ANEK [815]

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4 years ago

Read 2 more answers