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Dovator [93]
3 years ago
9

!50 POINTS!

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0

Answer:

  • A. 0

Step-by-step explanation:

<u>Given inequality:</u>

  • 6 > z(10 - z)

<u>Solution:</u>

  • 6 > 10z - z²
  • z² - 10z + 6 > 0
  • z² - 10z + 25 > 19
  • (z - 5)² > 19
  • z - 5 > √19 ⇒ z > 5 + √19 ⇒ z > 9.35
  • z - 5 < - √19 ⇒ z < 5 - √19 ⇒ z < 0.64

The only number satisfying this inequality is 0.

Correct choice is A

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In form ax+by+c=0
pav-90 [236]
I don't get you but if you transform the equation to it's standard form, it will be
3x+4y=4
First, Multiply each term by 4:
y(4)=-3x/4(4)+1(4)
4y=-12x/4+4
4y=-3x+4
Now add 3x to both sides of the equation:
4y+3x=-3x+3x+4
3x+4y=0+4
3x+4y=4
5 0
3 years ago
What is the square root of 864
skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}

Take any number that is repeated twice in the square root, and move it outside of the root:

\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}

\sqrt{2 \cdot 2} = \sqrt{4} = 2

\sqrt{3 \cdot 3} = \sqrt{9} = 3

\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}

\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

6 0
3 years ago
Find the difference: <br> 2(x-2) - 3(x-4)
cluponka [151]

Answer:

brainliest plzzzzz

Step-by-step explanation:

2(x-2) - 3(x-4)

Simplify:

2(x-2)-3(x-4)

2x-4-3(x-4)

Distribute:

2x-4-3(x-4)

2x-4-3x+12

Add the numbers:

2x-4-3x+12

2x+8-3x

Combine like terms:

2x+8-3x

-x+8

Hence Solution = -x+8

4 0
3 years ago
Select the correct answer.
My name is Ann [436]

Answer:

B

Step-by-step explanation:

That was actually trickier than I thought it would be

I was looking for 4(x-4),   but 4(x-2)(x+2) also works

7 0
3 years ago
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What is the slope of line QR if Q(11,-2) and R(11,6)
jeka57 [31]

Answer:

noe lsoocslo oqiuepcn

Step-by-step explanation:

mcm

8 0
2 years ago
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