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Oduvanchick [21]
3 years ago
13

Marko terzo please help

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

i-okay,whats yoour problem? maybe i can help :D

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For which k are the roots of k(x2+1)=x2+3x–3 real and distinct?
Ugo [173]

Answer:

The solution for k is the interval (-3.5,1.5)

Step-by-step explanation:

we have

k(x^{2}+1)=x^{2}+3x-3

kx^{2}+k=x^{2}+3x-3

x^{2}-kx^{2}+3x-3-k=0

}[1-k]x^{2}+3x-(3+k)=0

we know that

If the discriminant is greater than zero . then the quadratic equation has two real and distinct solutions

The discriminant is equal to

D=b^{2}-4ac

In this problem we have

a=(1-k)

b=3

c=-(3+k)

substitute

D=3^{2}-4(1-k)(-3-k)\\ \\D=9-4(-3-k+3k+k^{2})\\ \\D=9+12+4k-12k-4k^{2}\\ \\D=21-8k-4k^{2}

so

21-8k-4k^{2} > 0

solve the quadratic equation by graphing

The solution for k is the interval (-3.5,1.5)

see the attached figure

7 0
3 years ago
On anne's bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. if her rear wheel turns 875 times per
quester [9]
Let the number of times she turns the pedal in one mile be x.

Given that her rear miles turns 875 times in one mile and the ratio of pedal turns to rear wheel turns is 4 to 7, then

\frac{4}{7} = \frac{x}{875}  \\  \\ \Rightarrow 7x=4(875)=3,500 \\  \\ \Rightarrow x= \frac{3,500}{7} =\bold{500}

Therefore, she turns the pedal 500 times in one mile.
8 0
3 years ago
Read 2 more answers
HELP!!!!!!!!!!!
erica [24]
Your answer would be (b.) because -2+-3=-5

3 0
3 years ago
Read 2 more answers
I’m a little confused with this? Can someone walk me through this?
mina [271]

Answer:

A. 5.8

Step-by-step explanation:

From the given graph d has two coordinates;

the first coordinates of d = (0, 0)

the second coordinate of d = (-3 , -5), that is x = -3 when traced up and y = -5 when traced horizontal

The distance between the two coordinates = distance of d;

distance \ between \ two \ coordinates = \sqrt{(x_2-x_1)^2 \ + \ (y_2-y_1)^2} \\\\d =  \sqrt{(-3-0)^2 \ + \ (-5-0)^2}\\\\d = \sqrt{9 \ + \ 25} \\\\d = \sqrt{34} \\\\d = 5.83\\\\d = 5.8

Option A is correct

6 0
3 years ago
What is the value of x in this equation?<br><br> 2x + 2 = -5
Ostrovityanka [42]

Answer:

x= -7/2

decimal form: -3.5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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