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Bingel [31]
2 years ago
12

For which values of a the system has no solution: x≤5, x≥a

Mathematics
1 answer:
soldi70 [24.7K]2 years ago
7 0

Given:

The system of inequalities is

x\leq 5

x\geq a

To find:

The values of a for which the system has no solution.

Solution:

We have,

x\leq 5        ...(1)

It means the value of x is less than or equal to 5.

x\geq a        ...(2)

It means the value of x is greater than or equal to a

Using (1) and (2), we get

a\leq x\leq 5

But if a is great than 5, then there is no value of which satisfies this inequality.

Therefore, the system has no solution for a>5.

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R is inversely proportional to A R = 12 when A = 1.5 a) Work out the value of R when A = 5 b) Work out the value of A when R = 9
lapo4ka [179]

Answer:

a) R = 3.6

b) A = 2

Step-by-step explanation:

To find the value, start by modeling the inverse proportionality by using the base equations with the original givens.

y = k/x

12 = k/1.5

18 = k

Now we use that to model the equation

R = 18/A

And we can now use that to solve parts a) and b)

a)

R = 18/A

R = 18/5

R = 3.6

b)

R = 18/A

9 = 18/A

2 = A

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1 year ago
Ethan sells e candy bars for $2.50 apiece and Chloe sells c candy bars for $2.00 apiece to raise
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2 years ago
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Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?
Murljashka [212]
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if x and y and z are all perfect cubes, xyz is also a perfect cube

remmeber
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all of them should be perfect cubes

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