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3 years ago

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Simplify the expression: 2x-5-x-8/x+4

1 answer:

Sergio [31]3 years ago

7 0

$2x-5-\dfrac{x-8}{x+4}=\dfrac{(2x-5)(x+4)}{x+4}-\dfrac{x-8}{x+4}\\\\=\dfrac{(2x)(x)+(2x)(4)+(-5)(x)+(-5)(4)-x-(-8)}{x+4}\\\\=\dfrac{2x^2+8x-5x-20-x+8}{x+4}=\dfrac{2x^2+2x-12}{x+4}$

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I NEED FAST HELP!!!!!!!!!!!!!!!!!!!

Sindrei [870]

Answer:

The student is expected to spend <em>15.4 hours </em>doing homework

Step-by-step explanation:

The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below

To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)

The equation of a line, given two points (a,b) and (c,d) is

$\displaystyle y-b=\frac{d-b}{c-a}(x-a)$

Using the selected points

$\displaystyle y-4=\frac{25-4}{4-28}(x-28)$

Simplifying and computing results, the equation is

$\displaystyle y=-\frac{7}{8}x+\frac{57}{2}$

Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV

$\displaystyle y=-\frac{7}{8}(15)+\frac{57}{2}$ =15.4 hours

So the student is expected to spend 15.4 hours doing homework

7 0

3 years ago

Solve the equation by Completing the Square<br> x2 – 10x + 13 = 0

user100 [1]

Answer:

$x=5+\sqrt{12}$

or

$x=5-\sqrt{12}$

Step-by-step explanation:

$x^2-10x+13=0$

$x^2-10x=-13$

$x^2-10x+(\frac{10}{2})^2 =-13+(\frac{10}{2})^2$

$x^2-10x+(5)^2=-13+(5)^2$

$x^2-10x+25=-13+25\\x^2-10x+25=12$

Factor.

$(x-5)^2=12$

Extract the square root.

$x-5=\frac{+}{} \sqrt{12}$

Add 5

$x=5+\sqrt{12}$

or

$x=5-\sqrt{12}$

4 0

3 years ago

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Complete the table to show the area of each circle.

Troyanec [42]

Answer: look at my work its 10 pi cm ^2

Step-by-step explanation:

3 0

2 years ago

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Which of the following best explains the meaning of the equation?

Assoli18 [71]

Answer:

On a number line, negative five and positive five are the same distance from zero.

Step-by-step explanation:

3 0

2 years ago

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The rectangle below has an area of 70y^8+30y^6.The width of the rectangle is equal to the greatest common monomial factor of 70y

swat32

Answer:

Width $10y^6$ units

Length $7y^2+3$ units

Step-by-step explanation:

The rectangle has an area of $70y^8+30y^6.$

The width of the rectangle is equal to the greatest common monomial factor of $70y^8$ and $30y^6.$ Find this monomial factor:

$70y^8=2\cdot 5\cdot 7\cdot y^8\\ \\30y^6=2\cdot 3\cdot 5\cdot y^6\\ \\GCF(70y^8,30y^6)=2\cdot 5\cdot y^6=10y^6$

Hence, the width of the rectangle is $10y^6$ units.

The area of the rectangle can be rewritten as

$10y^6(7y^2+3).$

The area of the rectangle is the product of its width by its length, then the length of the rectangle is $7y^2+3$ units.

8 0

3 years ago