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Tcecarenko [31]
3 years ago
5

The difference between 25 and a number is at least 13.

Mathematics
1 answer:
aalyn [17]3 years ago
8 0

Answer:

x ≤ 12

Step-by-step explanation:

The problem can be represented by the equation:

25 - x = y and y ≥ 13

So, we find that 25 - 12 = 13, which means that any number greater than 12 would result in a difference lower than 13. This sets 12 as the maximum.

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Write an irrational number that can be added to the irrational number √28 to get a rational sum of 8.
tamaranim1 [39]

Answer: 2.82

Step-by-step explanation:

7 0
3 years ago
For the rational function f(x)=5−xx2+5x+6, find the points on the graph at the function value f(x)=3.
Anit [1.1K]

Given:

The rational function is:

f(x)=\dfrac{5-x}{x^2+5x+6}

To find:

The points on the graph at the function value f(x)=3.

Solution:

We have,

f(x)=\dfrac{5-x}{x^2+5x+6}

Substituting f(x)=3, we get

3=\dfrac{5-x}{x^2+5x+6}

3(x^2+5x+6)=5-x

3x^2+15x+18=5-x

Moving all the terms on one side, we get

3x^2+15x+18-5+x=0

3x^2+16x+13=0

Splitting the middle term, we get

3x^2+3x+13x+13=0

3x(x+1)+13(x+1)=0

(3x+13)(x+1)=0

Using zero product property, we get

(3x+13)=0\text{ or }(x+1)=0

x=-\dfrac{13}{3}\text{ or }x=-1

Therefore, the required values are -\dfrac{13}{3},-1.

7 0
3 years ago
Complete the pattern and find the rule. 1'3,6,10,15' _ ,_ ,_ , _, 1,2,4,8,16, _ , _, _ ,_
Allisa [31]
A.) 21, 28, 36, 45
the pattern is start with adding by 2 then, 3, then 4, then 5, 6, 7, 8. 9

 32, 64, 128, 256
the pattern is to multiply by 2
6 0
3 years ago
Solve for x (7/2x)+(6/4X)=(5X/4)
Bess [88]

Answer:

x=0

Step-by-step explanation:

7/2x+6/4x=5/4x

7/2x=5/4x-6/4x

7/2x=-1/4x

7/2x-(-1/4x)=0

7/2x+1/4x=0

14/4x+1/4x=0

15/4x=0

x=0/(15/4)

x=0

6 0
3 years ago
Which of the following is a point-slope equation for a line with the point
IgorLugansk [536]

Hi there! :)

Answer:

Choice D. (y - 4) = 3(x + 2)

Step-by-step explanation:

An equation in point-slope form is:

(y - y1) = m(x - x1)

Where:

y1 = y-coordinate of a point

m = slope

x1 = x-coordinate of a point

In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)

8 0
3 years ago
Read 2 more answers
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