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3 years ago

(a) Simplify the expression: (4x - 6) - (x + 5)

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

8 0

Answer:

a) 3x - 11

b) 10x + 4

Step-by-step explanation:

a) The negative sign before the (x+5) means to subtract those values. Reverse the signs. Then combine like terms:

4x –6 –x –5. 4x–x–6–5

3x –11

b) Put all the x terms together.

Put all the integers together.

Add. Adding a negative is the same as subtracting.

4x+x+5x = 10x

+6-2 = 4

Combine them:

10x + 4

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Which ordered pairs are solutions to the inequality 2y-x≤-6 ?

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

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kvv77 [185]

Answer:

Step-by-step explanation:

$\frac{5}{5} + 6 = 1 + 6$

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2 years ago

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Viktor [21]

Answer:

$\frac{64}{49}$

Step-by-step explanation:

As we can see the given expression as three complex parts and all are being multiplied.

Lets simplify each part separately and then multiply all of them in the end

Part1

$(\frac{8.4.2}{8.7})^{2}$

Cancelling 8 in numerator with 8 in denominator

$(\frac{4.2}{7})^{2}$

$(\frac{8}{7})^{2}$

$\frac{64}{49}$

Part2

$(\frac{8^{0} }{7^{-3} })^{3}$

simpliying

$(\frac{1}{7^{-3} })^{3}$

$({7^{3} })^{3}$

$7^{9}$

Part3

Third part is $7^{-9}$ , and it does not need to be further simplified

Now multiplying all the three parts

$\frac{64}{49}.7^{9}.7^{-9}$

$\frac{64}{49}.7^{9-9}$

$\frac{64}{49}.7^{0}$

$\frac{64}{49}.1$

$\frac{64}{49}$

So our final answer is $\frac{64}{49}$

5 0

3 years ago

Fill in the missing digits to find the base 2 representation of 59.

Anna007 [38]

Answer:

111011

Step-by-step explanation:

Following the binary rule we can find the base 2 presentation of the decimal number 59.

To find the binary equivalence of 59 we use the sum of powers of 2.

$2^{0}=1$

$2^{1}=2$

$2^{2}=4$

$2^{3}=8$

$2^{4}=16$

$2^{5}=32$

$2^{6}=64$

Now we take our number and find out what the binary number will by taking our largest number closest to the number first.

59 = 32

We chose the number 32 since 64 will be a larger value than 59.

We then check how much we have to add to 32 to get 59.

59 = 32 + 27

We then look for the closest number to 27 in our powers of 2.

59 = 32 + 16

Now we check again for how much we need left to get a total of 59.

59 = 32 + 16 + 11

Now we repeat the same process of finding which value in the powers of 2 are closest to the number.

59 = 32 + 16 + 8 + 3

59 = 32 + 16 + 8 + 2 + 1

Now since we already have a total of 59, our binary number will be all the numbers present will have a value of 1 and the numbers now used will have a number of 0.

32 16 8 4 2 1

This can also be represented as:

2^5 2^4 2^3 2^1 2^0

Now we have to include the numbers that we skipped to get the total binary number.

32 16 8 4 2 1

1 1 1 0 1 1

This can be represented as:

59 = 32 16 + 8 + 0 + 2 + 1

1 1 1 0 1 1

3 0

3 years ago

Read 2 more answers