Answer:
The answer to your question is below
Step-by-step explanation:
Data
function f(x) = x² + 2x - 8
-See the graph below
1) x-intercepts
We observe in the graph that there are no x-intercepts.
2) y-intercepts
We observe in the graph that the y-intercept is (0, 8). Point A
3) axis of symmetry
The axis of symmetry is the line that divides the parabola into two equal parts. This line is x = -1 (blue line)
4) The vertex is the lowest point of the parabola, this point is (-1, 7)
Point B in the graph.
Answer:
3
Step-by-step explanation:
The equation is y=Mx+b where m is the slope and b is the y intercept so m=3 so the slope is 3
Answer:
No real
solution
Step-by-step explanation:
Firstly, let us check if we would be having a real solution
We start by rewriting the equation
We have this as;
8x^2 -25x + 24 = 0
We proceed to get the discriminant
Mathematically, we have this as;
D = b^2 - 4ac
b is the coefficient of x which is -25
a is the coefficient of x^2 which is 8
c is the last number which is 24
So we have;
D = (-25)^2 - 4(8)(24)
D = 625 - 768 = -143
Since the value of the discriminant is negative, there cannot be real roots
What we have as solution are complex roots
Answer:
1.787
Step-by-step explanation:
Now putting the value of√2
Answer:
- $272 was invested in the savings account at 11%
- $572 was invested in the savings account at 14%
Step-by-step explanation:
Let the amount in the savings account with 11% interest =x
She has $300 more in the 14% account.
Therefore amount saved at 14%=x+300
Simple Interest= Principal X (Rate/100) X Time
Since, the time is not given, we assume an annual interest.
Therefore, Time =1 Year
Total Interest = $110
Now, our total interest will be a sum of the interest earned at 11% and the interest earned at 14%.
![110=(x*0.11*1)+[(x+300)*0.14*1]\\110=0.11x+0.14x+42\\110=0.25x+42\\\text{Subtract 42 from both sides}\\110-42=0.25x+42-42\\68=0.25x\\\text{Divide both sides by 0.25 to obtain x}\\\frac{68}{0.25} =\frac{0.25x}{0.25} \\x=\$272](https://tex.z-dn.net/?f=110%3D%28x%2A0.11%2A1%29%2B%5B%28x%2B300%29%2A0.14%2A1%5D%5C%5C110%3D0.11x%2B0.14x%2B42%5C%5C110%3D0.25x%2B42%5C%5C%5Ctext%7BSubtract%2042%20from%20both%20sides%7D%5C%5C110-42%3D0.25x%2B42-42%5C%5C68%3D0.25x%5C%5C%5Ctext%7BDivide%20both%20sides%20by%200.25%20to%20obtain%20x%7D%5C%5C%5Cfrac%7B68%7D%7B0.25%7D%20%3D%5Cfrac%7B0.25x%7D%7B0.25%7D%20%5C%5Cx%3D%5C%24272)
Therefore:
- $272 was invested in the savings account at 11%
- $572 was invested in the savings account at 14%
Cheers!
