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melisa1 [442]
4 years ago
5

The sum of a number and 8 is no more than the square of the difference of the number and 4. Which of the following inequalities

can be used to determine the unknown number?
Mathematics
1 answer:
Lady bird [3.3K]4 years ago
6 0

Answer:

x + 8 ≤ (x − 4)2

Step-by-step explanation:

Let the number be x,

The sum of the number and 8 is

(x + 8)

The square of the difference of the number and 4 is

(x - 4) {}^{2}  

Hence the inequality is

(x + 8) \leqslant (x - 4) {}^{2}

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jonny [76]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 5 m and a depth of 1.4
Korolek [52]

Answer:

8 hours

Step-by-step explanation:

basic equation

Q (flow rate) = V (volume)/ t (time)

so to find the time we just rearrange the equation and become

t = V/Q

V of cylinder

V = πr²T

and r (radius) = ½ diameter

V = 3.14 x 5² x 1.4

V = 109.9 m³

if the Q is 13 m³/hour then

t = 109.9/13 = 8.453 hours

round to nearest hour = 8 hours

6 0
3 years ago
I need help on this! please help will mark brainliest:)
bazaltina [42]

Answer:

P = 48 feet

A = 84 square feet

Step-by-step explanation:

use the Pythagorean Theorem 2 times to find the bases of the two triangles created by the height of eight

1st Δ :  one leg is 8 and the hypotenuse is 10

          a² + 8² = 10²

          a² + 64 = 100

           a² = 36

            a = 6

2nd Δ :  one leg is 8 and the hypotenuse is 17

          b² + 8² = 17²

          b² + 64 = 289

           b² = 225

           b = 15

Perimeter = 10 + 17 + 6 + 15 = 48 ft

Area = 1/2(8)(6 + 15)  = 4(21) = 84 sq ft

5 0
3 years ago
What is the solution to the system:<br> x-y-2 z=4<br> -x + 2 y +z =1<br> -x +y-3 z+11
mixer [17]
The answer to the question

8 0
3 years ago
Investors buy a studio apartment for $200,000 . Of this​ amount, they have a down payment of $70,000. Their down payment is what
stiks02 [169]

Answer: 35%

Step-by-step explanation:

Percent of down payment

= 70,000 / 200,000 * 100

= 0.35 * 100

= 35%

<em>$70,000 is 35% of the purchase price of $200,000.</em>

4 0
3 years ago
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