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vodomira [7]
3 years ago
7

Find the X intercepts of the equation f(x) = x^2 - 6x + 6

Mathematics
1 answer:
Arturiano [62]3 years ago
8 0

Answer:

x-intercepts = (x ≈ -0.87), (x ≈ 6.87)

Step-by-step explanation:

let x = 0, in equation for x-intercepts

solve for x using the

quadratic formula

x = <u>−6 ± √ 36 + 24 </u>

               2x

= <u>−6 ± √60</u>

         −2x

 = <u>−6 ± 2 √ 15</u>

           −2           = 3 ± √15

You might be interested in
The figure is made up of a semicircle and a rectangle.
dezoksy [38]
Area = Area of rectangle + area of semicircle

Area of rectangle = 5 x 1 = 5 m^2
area of semicircle = πD²/8 = 3.14 x 5² / 8 = 9. 8125
Area = 5 + 9.8125 = 14.8125 m^2


4 0
3 years ago
Use the table below to answer this question:
andrew11 [14]
(y_final-y_start)/(x_final-x_start) always! :) that easy

(-6-2)/(2-0) = -4

You probably know that if the interval was pretty small, between 0 and 0.0001, it would take you to the concept of slope and derivatives, but average change is just ignoring anything in between x=0, and x=2 (it could go up/down million times, and still the answer would be -4)

hope it helps
3 0
3 years ago
You are planning on retiling your bathroom floor and buy 96 square feet of tile. If the length of the bathroom is
Rudik [331]

Answer:

8 feet

Step-by-step explanation:

Given that 96 sq. feet of tile is bought to retile the bathroom.

It means area of bathroom is 93/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=>  x^2 = 192/3 = 64\\=>\sqrt{x^2}  = \sqrt{64} \\=> x = 86 sq. feet

Width of bathroom be x

Given that the length of the bathroom is  one and a half times the width

Length of bathroom in term sod width = 1 1/2* x = 3/2 x

we know area of rectangle is given by length * width

therefore area of bathroom =( x* 3/2 x) = 3/2 x^2

Also area of  bathroom is 86 sq. feet, therefore

3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=>  x^2 = 192/3 = 64\\=>\sqrt{x^2}  = \sqrt{64} \\=> x = 8

Thus, width of bathroom is 8 feet.

4 0
3 years ago
The distribution of cholesterol levels in teenage boys is approximately normal withnbsp mu equals 170 and sigma equals 30 ​(Sour
ddd [48]

Answer: 0.0336

Step-by-step explanation:

Given : The distribution of cholesterol levels in teenage boys is approximately normal with mean :\mu= 170

Standard deviation : \sigma= 30

The formula for z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=225

z=\dfrac{225-170}{30}=1.83

The p-value =P(z>1.83)=1-P(z

=1-0.966375=0.033625\approx0.0336

The probability that a teenage boy has a cholesterol level greater than 225 =0.0336

4 0
3 years ago
How many solutions does the equation 6a − 3a − 6 = −2 + 3 have?
Bogdan [553]

Answer:

One.  It is a = 7/3

Step-by-step explanation:

Let's simplify the equation 6a − 3a − 6 = −2 + 3 by combining like terms:

3a - 6 = 1

Adding 6 to both sides, we get:

3a = 7.

Dividing both sides by 3, we get

a = 7/3.

This equation has ONE solution, which is a = 7/3.

4 0
3 years ago
Read 2 more answers
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