The translations would be this
1) reflection over the x-axis
2) translation of (-6,0)
Answer:
Step-by-step explanation:
We are given two fractions and are asked to simplify it.
So
We can follow the exponent rule of subtracting them since both fractions are the same value.
Now do the negative exponent rule :
Move the negative in between the fraction :
And apply the fraction switcharoo :
Answer: the total length of road they built is 9 1/5 kilometers.
Step-by-step explanation:
The total number of days that it took the construction crew to finish the road 2 4/5. Converting 2 4/5 days to improper fraction, it becomes 14/5 days.
If they built 3 2/7 kilometers of road each day, converting 3 2/7 kilometers to improper fraction, it becomes 23/7 kilometers.
Therefore, the total length of road that they built is
23/7 × 14/5 = 322/35 kilometers
Converting to mixed fraction, it becomes
9 1/5 kilometers
The coordinates of the vertex of the graph are (-2, -9).
<h3>Further explanation</h3>
The quadratic function is described by the standard equation The graph of a quadratic function is called a parabola.
We have the quadratic function
- We identify the coefficients a, b, and c. For this equation,
- The axis of symmetry is , i.e., Thus, the statement in the question for the symmetry axis x = -2 is correct.
- The vertex (or turning point) is where or
- The parabola opens upward because a > 0, resulting in a vertex that is a minimum.
Finding the minimum value is as follows:
Therefore, the coordinates of the vertex of the graph are (h, k), i.e.,
Other components:
- The y-intercept of the quadratic function f(x) = x² + 4x - 5 is (0, c), i.e., the point
- The factorization of f (x) = x² + 4x - 5 becomes f(x) = (x + 5)(x - 1). Then we get the x-intercepts at
<h3>Learn more</h3>
- Which is the graph of f(x) = (x - 1)(x + 4) brainly.com/question/2334270
- Finding the y-intercept of the quadratic function f(x) = (x – 6)(x – 2) brainly.com/question/1332667
- The midpoint brainly.com/question/3269852
Keywords: the axis of symmetry, for a function, f(x) = x² + 4x − 5, x = −2, which is the graph of f(x) = (x - 1)(x + 4), what, the coordinates of the vertex of the graph, the x-intercept, quadratic function, a standard equation, the y-intercept, parabola, upward, the minimum value
D is correct because 28 cases with 50 packs of paper and 200 sheets in each. That's multiplying.
Hoped I helped!