Answer:
Equations are y > x² - 4 and y < x² + 6.
Step-by-step explanation:
Given : Graph with two parabola.
To find : What system of inequalities is graphed below.
Solution : We have given graph
We can see from the given graph both are dotted line that mean it does not have equal sign .
We can see graph with vertex ( 0 , -4 ) are shaded up ( grater than sign ) that mean equation would be
y > x² - 4.
For upper parabola vertex is ( 0 , 6) and shaded down( less than sign) that mean equation
y < x² + 6.
Therefore,Equations are y > x² - 4 and y < x² + 6.
First we have to see the name of similar triangles. And here triangles, CBA and FED are similar . Now we need to use the property of similar triangle, which is
Corresponding sides of similar triangles are in same proportion. Therefore in triangle FED, 12 is the measurement of side opposite to angle with measurement 28 . So in triangle CBA, side opposite to angle of measurement 28 is of length 8 .
So the ratio is
Answer:
Based on the data provided, Sergei can make the following predictions and set a benchmark for his performance:
Prediction 1: With consistent training and improvement over the summer, Sergei can predict that he will run the mile faster than 8:45 in his upcoming tryouts. This is based on the pattern of improvement he has shown from 9:30 (eighth grade) to 8:45 (freshman year) and his continued training.
Prediction 2: Sergei can aim to break the 8-minute mark for the mile based on the trend of his improvements. This is a reasonable goal given his past progress, and it aligns with his objective of making the varsity team where all runners need to run under 6:15.
Benchmark: The benchmark against which Sergei is measuring his performance is the time required to run a mile. He's tracking his progress in terms of how long it takes him to complete a mile, aiming to continuously improve and meet the varsity team's standard of running under 6:15 for the mile.