The quadratic formula, has a part we call the "discriminant" defined by the variables that are inside the square root, and is denotated by "delta":
<span>Δ=<span>b2</span>−4ac</span>
Whenever we solve a quadratic equation that is complete and we analyze the discriminant, we can get 3 scenarios:
<span>if→Δ>0<span>=></span>∃<span>x1</span>,<span>x2</span>/a<span>x2</span>+bx+c=0</span>
This just means: "if the discriminant is greater than zero, there will exist two x-intercepts"
And for the second scenario:
<span>if→Δ=0→∃<span>xo</span>/a<span>x2</span>+bx+c=0</span>
This means: "if the discriminant is equal to zero, there will be one and only one x-intercept"
And for the last scenario:
<span>if→Δ<0→∃x∉R/a<span>x2</span>+bx+c=0</span>
This means that :"if the discriminant is less than zero, there will be no x-intercepts"
So, if we take your excercise and analyze the the discriminant:
<span>3<span>x2</span>+7x+m=y</span>
we will find the values that satisfy y=0 :
<span>3<span>x2</span>+7x+m=0</span>
And we'll analyze the discriminant:
<span>Δ=<span>72</span>−4(3)(m)</span>
And we are only interested in the values that make the discriminant equal zero:
<span><span>72</span>−4(3)(m)=0</span>
All you have to do is solve for "m".
Answer:
Try 31 degrees/ Hard to explain but try it
Step-by-step explanation: cause between angle a, c, b - and angle a, o , c - their is an intersect. on that intersect onside is 62 degrees and the other side is 118 degrees; now thats a 180 degrees angle cause the base of the intersect is straight. Now this intersect is connected to the obtuse angle of the bottom triangle which is 118 degrees. Knowing that you can figure out the other corners of the traingle. The last two acute angles of to be congruent.
Answer:
N(4) = 4
Step-by-step explanation:
The given function is N(u) = 4, where N is the function and u is the independent variable.
Now, the value of the function N(u) is a constant and independent of u variable.
Therefore, for each and every value of the variable u the N(u) will be 4 and this is a constant function.
Hence, N(4) = 4 ( Answer )
Answer:
n > 4
Step-by-step explanation:
3n - 7 > <u>n</u> + 1
Move variable to the left side and change its sign
3n <u>- </u><u>n</u> - 7 > 1
...
3n <u>- </u><u>7</u> > n + 1
Move constant to the right side and change its sign
3n - n > 1 <u>+ </u><u>7</u>
...
<u>3</u><u>n - n</u> > 1 + 7
Collect the like terms
<u>2</u><u>n</u> < 1 + 7
...
3n - n > <u>1</u><u> + </u><u>7</u>
Add the numbers
2n < <u>8</u>
Divide both sides of the inequality by 2
Solution:
<u>n </u><u>></u><u> </u><u>4</u><u> </u> Answer:
n < 2
Step-by-step explanation:
4n - 5 < <u>3n</u> - 3
Move variable to the left side and change its sign
4n <u>- 3n</u> - 5 < - 3
...
4n <u>- 5</u> < 3n -3
Move constant to the right side and change its sign
4n - 3n < - 3 <u>+ 5</u>
...
<u>4n - 3n</u> < - 3 + 5
Collect the like terms
<u>n</u> < - 3 + 5
...
4n - 3n < <u>- 3 + 5</u>
Calculate the sum
n < <u>2</u>
...
Solution:
<u>n < 2</u>
Answer:
Step-by-step explanation:
325/220×100≈147.73
