If you mean by x over 4 that it is fraction then there is no different between it and divisions
x/4 = -120
x = -120 × 4 ( when division goes to the other side of equal it turns into multiplication)
x = -480
A. -480
Answer:
C. (5,2)
Step-by-step explanation:
For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like
f(x -h) +k
and the vertex moves to (h, k).
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Here, the parent function |x| has its vertex at (0, 0). Writing it as ...
-3|x -5| +2
moves its vertex to (h, k) = (5, 2).
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<em>Additional comment</em>
The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.
Answer:
Option B
Step-by-step explanation:
Given quadratic equation is,
y = 2x² + 5x - 7
By comparing this equation with y = ax² + bx + c
a = 2, b = 5 and c = -7
Solution of the polynomial (2x² + 5x - 7) can be determined by the quadratic formula,
![x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Substitute the values of a, b and c.
![x=\frac{-5\pm \sqrt{5^2-4(2)(-7)}}{2(2)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-5%5Cpm%20%5Csqrt%7B5%5E2-4%282%29%28-7%29%7D%7D%7B2%282%29%7D)
![=\frac{-5\pm \sqrt{25+56} }{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-5%5Cpm%20%5Csqrt%7B25%2B56%7D%20%7D%7B4%7D)
Therefore, Option B will be answer.
Answer:
A = -1 - √6
B = -1 + √6
Step-by-step explanation:
To find the 2 roots for the algebraic expression below we use Almighty formula
x² + 2x - 5
Formula = -b ± √b² - 4ac/2a
Where: ax²+ bx + c
a = 1, b = 2, c = -5
Hence:
-2 ± √2² - 4 × 1 × -5/2 × 1
-2 ± √4 + 20/2
-2 ± √24/2
Finding the roots
-2 ± √4 × 6/2
-2 ± 2√6/2
Hence
-2/2 ± 2√6/2
-1 ± √6
-1 - √6 , -1 + √6
Therefore the two roots are
Option A = -1 - √6 and Option B = -1 + √6