All categories

3 years ago

Determine how many solutions the quadratic fuctionf(x)=x^2-2x+2 has show work

Mathematics

1 answer:

Sergio039 [100]3 years ago

6 0

Try this solution:

1. in order to determine solutions it needed to re-write the given equation as x²-2x+2=0 and to solve it.

2. for D=(-2/2)²-1*2= -1; ⇒ D<0, it means this equation has no real solutions. In other words this function has no intersection point with OX-axis.

You might be interested in

The 10 participants in an experiment had the following reaction times ( in milliseconds ) : 778,783,784,786,790,804,807,810,819,

Nata [24]

Answer:

Mean. It includes all data points.

Step-by-step explanation:

-We first need to calculate the mean, median and mode then compare our values:

#Mean:

$\bar x=\frac{1}{n}\sum{x_i}\\\\=\frac{1}{10}\sum{778+783+784+786+790+804+807+810+819+823}\\\\=\frac{1}{10}\times \\\\=798.40$

#The median is the middlemost data point in a lsit data:

778,783,784,786,790,804,807,810,819,823

-Since our data points is an even number, the median number is calculated as:

$median=\frac{1}2}\sum{5^{th}+6^{th}}\\\\=0.5[790+804]\\\\=797.00$

#Mode is the data point with the highest frequency:

-Since there's no number appearing more than once, our set has no mode.

#Since our data set has no outliers and is not a skewed distribution, the mean will be the best measure as it includes all data points

8 0

2 years ago

looks out from the crown of the Statue of Liberty, approximately 250 ft above ground. The tourist sees a ship coming into the ha

Zigmanuir [339]

Answer:

The distance from the base of the statue to the ship is 771.60 ft

Step-by-step explanation:

Refer the attached figure

Height of statue AB= 250 feet

The tourist sees a ship coming into the harbor and measures the angle of depression as 18°.

So, ∠ACB = 18°

We are supposed to find the distance from the base of the statue to the ship i.e. BC

In ΔABC

$Tan \theta = \frac{Perpendicular}{Base}$

$Tan 18^{\circ}=\frac{AB}{BC}$

$Tan 18^{\circ}=\frac{250}{BC}$

$BC=\frac{250}{Tan 18^{\circ}}$

$BC=\frac{250}{0.324}$

BC=771.60 ft

Hence the distance from the base of the statue to the ship is 771.60 ft

3 0

3 years ago

What's 1/10 at four in the number 42,000

Serhud [2]

42,000 split into 10 is 4,200
if you meant 4 of those then it would be 16,800

6 0

2 years ago

Given the functions: f(x) = 7x + 10 and g(x) = 1.75x + 10. Make a table of values for each function to determine which value of

Anuta_ua [19.1K]

Your answer Would be c

3 0

3 years ago

Read 2 more answers

If a car sits out in the sun everyday for a long time, can light from the sun damage the cars paint?

goblinko [34]

Yeah, it rusts from the suns exposure

4 0

2 years ago