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3 years ago

How many real number solutions does the equation y=2x^2−8x+8 have?

Mathematics

1 answer:

Dafna1 [17]3 years ago

6 0

Answer:

1 real solution

Step-by-step explanation:

y=2x^2−8x+8

We can use the discriminant to determine the number of real solutions

b^2 -4ac

a =2 b = -8 c=8

(-8)^2 - 4(2)(8)

64 - 64

Since the discriminant is 0 there is 1 real solution

>0 there are 2 real solutions

< 0 two complex solutions

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A boat travels 33 miles downstream in 4 hours. The return trip takes the boat 7 hours. Find the speed of the boat in still water

Paha777 [63]

<u>Answer:</u>

Speed of the boat in still water = 6.125 miles/hour

<u>Step-by-step explanation:</u>

We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.

We are to find the speed of the boat in the still water.

Assuming $S_b$ to be the speed of the boat in still water and $S_w$ to be the speed of the water.

The speeds of the boat add up when the boat and water travel in the same direction.

$Speed = \frac{distance}{time}$

$S_b+S_w=\frac{d}{t_1}=\frac{33 miles}{4 hours}$

And the speed of the water is subtracted from the speed of the boat when the boat is moving upstream.

$S_b-S_w=\frac{d}{t_2}=\frac{33 miles}{7 hours}$

Adding the two equations to get:

$S_b+S_w=\frac{d}{t_1}$

+ $S_b-S_w=\frac{d}{t_2}$

___________________________

$2S_b=\frac{d}{t_1} +\frac{d}{t_2}$

Solving this equation for $S_b$ and substituting the given values for $d,t_1, t_2$ :

$S_b=\frac{(t_1+t_2)d}{2t_1t_2}$

$S_b=\frac{(4 hour + 7hour)33 mi}{2(4hour)(7hour)}$

$S_b=\frac{(11 hour)(33mi)}{56hour^2}$

$S_b=6.125 mi/hr$

Therefore, the speed of the boat in still water is 6.125 miles/hour.

6 0

3 years ago

Read 2 more answers

An angle measures 12° less than the measure of a complementary angle. what is the measure of each angle?

RSB [31]

(x-12)+ (x)=90 degrees

2x-12=90 degrees

2x=102

x=51

((51)-12)=39

so 39 is your answer

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4 years ago

Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model. What i

const2013 [10]

Answer:

DO YOU STILL NEED HELP?

Step-by-step explanation:

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3 years ago

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Find the equation of the ellipses with the following properties.

Andrej [43]

Bearing in mind that the major axis runs over the y-axis, therefore the "a" component will be under the fraction with the "y", check the picture below.

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3 years ago

10p-2(3p-6)=4(3p-6)-8p

Katen [24]

$10p-2(3p-6)=4(3p-6)-8p\ \ \ \ | omiting\ the\ brackets\\\\
10p-6p+12=12p+24-8p\\\\
4p+12=4p+24\ \ \ \ | subract\ 4p\\\\
12 \neq 24\\\\
There\ are\ no\ solutions.$

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3 years ago