Jim must get ≥ 78 score to maintain his average ≥ 90 .
Every thing has a central tendency , Average is one of the measure of Central Tendency.
It is the mean of all the given numbers and is determined by summing all the numbers or data and then dividing by the total number of data.
It is given that
Jim has gotten scores of 99 and 93 on his first two tests.
He has to maintain an average of 90 or greater
The third test score = ?
Average = (99+93+x)/3
90≤ (99+93+x)/3
270 ≤ (99+93+x)
270 ≤ 192 + x
Therefore x ≥ 78
Jim must get ≥ 78 score to maintain his average ≥ 90 .
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Triangle is both acute and scalene.
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
here, we have,
we know that,
A scalene triangle has three unequal sides and angles, whereas an acute triangle has three acute angles (measured fewer than 90 degrees). Consequently, the characteristics of an acute scalene triangle are as follows: three lines that cross each other. a trio of sharp angles All sides are not equal.
Given
All angles are less than 90 degrees so it is acute. The sides are of difference lengths so it is scalene.
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For this case we have the following function:
We rewrite the function making distributive property.
We have then:
To find the vertex of the function, we derive:
We equal zero and clear the value of x:
We evaluate the function for the value of x obtained:
Then, the vertice of the parabola is:
Answer:
the vertex of the quadratic function f(x)=(x-6)(x+2) is:
Answer:
10.31
Step-by-step explanation:
15.41-4.79=10.31