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lord [1]
3 years ago
14

itle=" \sqrt{x - 3} + \sqrt{x + 5} = 4" alt=" \sqrt{x - 3} + \sqrt{x + 5} = 4" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0
  • Answer:

<em>x = 4</em>

  • Step-by-step explanation:

<em>√x-3 + √x+5 = 4</em>

<em>(√x-3)² = (4-√x+5)²</em>

<em>x-3 = 16 - 8√x+5 + x+5 | -x</em>

<em>- 3 = 21 - 8√x+5</em>

<em>- 24 = - 8√x+5 | ×(-1)</em>

<em>24 = 8√x+5 | : 8</em>

<em>3 = √x+5</em>

<em>3² = (√x+5)²</em>

<em>9 = x + 5</em>

<em>x = 4</em>

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I NEED TO HAND IN NOW!!!
umka21 [38]

Step-by-step explanation:

a)

total no. of pupils is not more than 24

therefore first equation is

(x+y) ≤ 24. ....(1)

No. of girls exceeding the no. of boys by atleast 4

(y-x) ≥ 4. .....(2)

b) Now Liza chooses 8 boys

Maximum no. of girls = ?

Using first inequality

y+8= 24 ( maximum value of less than or equal to function is equal to itself)

Therefore,

y= 24-8

=16

Minimum no. of girls = ?

Using second inequality

y-8 =4 (minimum value of greater than or equal to function is equal to itself)

Therefore,

y= 4+8

y=12

Answer:

a) 2linear inequalities

(x+y) ≤ 24

(y-x) ≥ 4

b) Max no. of girls = 16

Min no. of girls = 12

Hope it helps...

5 0
3 years ago
Two fair number cubes are rolled. What is the probability the numbers are equal or the sum is odd?
Marat540 [252]

Answer:

0.6667 = 66.67%

Step-by-step explanation:

If each number cube has 6 numbers, the two cubes have a total of 6 * 6 = 36 results.

To have equal numbers in each cube, the cases are:

(1,1), (2,2), (3,3), (4,4), (5,5), (6,6) -> 6 cases

To have a odd sum, the cases are:

(1,2), (1,4), (1,6),

(2,1), (2,3), (2,5),

(3,2), (3,4), (3,6),

(4,1), (4,3), (4,5),

(5,2), (5,4), (5,6),

(6,1), (6,3), (6,5). -> 18 cases

So we have a total of 18 + 6 = 24 cases, then the probability is:

P = 24 / 36 = 0.6667 = 66.67%

5 0
3 years ago
What is the missing term in the factorization?
wel

Answer:

100x^2-36=4(5x+3)(5x-3)

7 0
3 years ago
Find the area of the parking space if the height is 18 feet and the base is 9 1/4 feet
Molodets [167]
Area= base x height
So, the base is 9 1/4 and the height is 18 feet
so, the Area= 9 1/4 x 18

9 1/4 x 18
= 166.5
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