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Zepler [3.9K]
3 years ago
12

What is the difference between slope and grade?

Mathematics
1 answer:
patriot [66]3 years ago
8 0
There is no difference they both mean the same thing

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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
(8)+-(6)+-9<br><img src="https://tex.z-dn.net/?f=%285%29%20-%20%287%29%20%2B%20%289%29%20%2B%208%20-%204" id="TexFormula1" title
andrey2020 [161]
To solve both of these expressions, we want to add or subtract from left to right.

For the first one, we can rewrite it as:

8-6-9
=2-9
=-7

The second one we can rewrite as:

5-7+9+8-4
=-2+9+8-4
=7+8-4
=15-4
=11
5 0
4 years ago
Free points uwu &lt;3 ​
luda_lava [24]
Hi!! I hope youre having a great day!
5 0
3 years ago
Read 2 more answers
Torres was planning a trip to china. Before going, he did some research and learned that the exchange rate is one Yuan for $0.15
aksik [14]

Answer:

The answer is 2000 yuan.

Step-by-step explanation:

Devise a proportion for this, and then cross-multiply. I believe that is the easiest way.

\frac{1}{0.15}  =  \frac{x}{300}  \\ 0.15x = 300 \\ x =  \frac{300}{0.15}  \\ x =  \frac{30000}{15}  \\ x =  \frac{10000}{5}  \\ x = 2000

3 0
3 years ago
Write an equation in slope-intercept form for this line.
bixtya [17]

Answer:

y=3/2x+2

Step-by-step explanation:

y-y1=m(x-x1)

m=3/2

y-8=3/2(x-4)

y-8=3/2x-12/2

y-8=3/2x-6

y=3/2x-6+8

y=3/2x+2

7 0
3 years ago
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