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pogonyaev
3 years ago
6

Which of the following equations have no real solution but have two complex solutions?

Mathematics
1 answer:
Helga [31]3 years ago
5 0
Answer: 3x^2 - 5x = -8, 2x^2 = 6x - 5 and -x^2 -10x = 34

Explanation:

Because there discriminant are less than 0

Discriminant = b^2 - 4ac

We use this formula to determine the if the equation has real roots or not
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PLEASE HELP! I WILL GIVE BRAINLIEST! When a photo is reduced or enlarged its length to width ratio usually remains the same. Aur
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Length = 4 6 8 10
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4 0
2 years ago
For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/h
damaskus [11]

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

t_{1} =\frac{30}{v}           ( time=\frac{distance}{speed})

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

t_{2} =\frac{17}{v+2}

now total time t spent by the bicyclist to cover entire trip is given by

t=t_{1} +t_{2}

t=\frac{30}{v} +\frac{17}{v+2}

now if v=18 , we have

t=\frac{30}{18} +\frac{17}{20}

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}

t=\frac{453}{180} =2.52 hours (approx)

7 0
3 years ago
What is the equation of the line that passes through the point (-4, 2) and has a<br> slope of ?
Katena32 [7]

Answer:

Step-by-step explanation:

What is the slope please

5 0
3 years ago
Determine the equation of g(x) that results from translating the function f(x)=x^2+9 upward 10 units.
Rus_ich [418]
The simple/ <span>common sense method:
</span>The typical lay out of a quadratic equation is ax^2+bx+c 
'c' represents where the line crosses the 'y' axis. 
The equation is only translated in the 'y' (upwards/downwards) direction, therefore only the 'c' component of the equation is going to change. 
A translation upwards of 10 units means that the line will cross the 'y' axis 10 places higher. 
9+10=19, 
therefore <u>c=19</u>. 
The new equation is: <u>y=x^2+19 </u>
<span>
<span>The most complicated/thorough method: 
</span></span>This is useful for when the graph is translated both along the 'y' axis and 'x' axis.
ax^2+bx+c 
a=1, b=0, c=9
Find the vertex (the highest of lowest point) of f(x). 
Use the -b/2a formula to find the 'x' coordinate of your vertex.. 
x= -0/2*1, your x coordinate is therefore 0. 
substitute your x coordinate into your equation to find your y coordinate.. 
y= 0^2+0+9
y=9. 
Your coordinates of your vertex f(x) are therefore <u>(0,9) </u>
The translation of upward 10 units means that the y coordinate of the vertex will increase by 10. The coordinates of the vertex g(x)  are therefore: 
<u>(0, 19) </u>
substitute your vertex's y coordinate into f(x) 
19=x^2+c
19=0+c
c=19
therefore <u>g(x)=x^2+19</u>

7 0
3 years ago
Read 2 more answers
A new car is purchased for 23700 dollars.the value o the car depreciates at 13.5% per year what will be the value of the car be,
lara31 [8.8K]

it will be 31,995 but we have to estimate yo the nearest cent so 10 cents

5 0
3 years ago
Read 2 more answers
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