Answer:
x ∈ {-5, -1}
Step-by-step explanation:
Here's the solution using the quadratic formula:
![x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-24\pm\sqrt{24^2-4\cdot 4\cdot 20}}{2\cdot 4}\\\\=\dfrac{-24\pm\sqrt{576-320}}{8}=\dfrac{-24\pm\sqrt{256}}{8}\\\\=\dfrac{-24\pm 16}{8}=-3\pm 2=\{-5,-1\}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%3D%5Cdfrac%7B-24%5Cpm%5Csqrt%7B24%5E2-4%5Ccdot%204%5Ccdot%2020%7D%7D%7B2%5Ccdot%204%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-24%5Cpm%5Csqrt%7B576-320%7D%7D%7B8%7D%3D%5Cdfrac%7B-24%5Cpm%5Csqrt%7B256%7D%7D%7B8%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-24%5Cpm%2016%7D%7B8%7D%3D-3%5Cpm%202%3D%5C%7B-5%2C-1%5C%7D)
The real zeros are -5 and -1.
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There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.
Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.
Answer:
£67.60
Step-by-step explanation:
30% of 52 is 15.6
52 + 15.6 = 67.6
I hope this helps, please mark Brainliest, thank you!
Answer: 7 to 4
Step-by-step explanation: There are 16+12=28 total students, and 16 boys. Therefore, the ratio is 28:16, but you must simplify that, you can do this by dividing both values by 4 to get 7:4.
Answer:
axis of symmtery: x = 3 or h = 3
Step-by-step explanation:
The vertex (h, k) of a parabola is the point wherein the graph intersects the axis of symmetry—the imaginary straight line that bisects a parabola into two symmetrical parts, where <em>x</em> =<em> h</em>.
- In the standard form of quadratic equation, y = ax² + bx + c, the equation of the axis of symmetry is:
.
- In the vertex form of the quadratic equation, y = a(x - h)² + k, the equation of the axis of symmetry is:
.
Regardless of whether the quadratic equation is in standard or vertex form, the x-coordinate (h) of the vertex determines the axis of symmtetry, hence<em>, </em><em>x = h. </em><em> </em>
Therefore, given that the vertex of a parabola is at point (3, 5), then it means that the axis of symmetry occurs at x = 3 or h = 3.
Answer:
x=1
Step-by-step explanation:
1+093.5 =94.5