Answer:
16 runs.
Step-by-step explanation:
We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.
We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.
Since we know that formula for nth term of an arithmetic sequence is: , where,
,
,
,
.
Since on the first day Jessie scored 2 runs, so and difference between two consecutive terms is 2 (4-2=2), so d will be 2.
Upon substituting our values in arithmetic sequence formula we will get,
Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is .
Let us find the 8th term of sequence by substituting n=8 in our sequence formula.
Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.
Answer:
I love turtles I used to have one
It could be any fraction from 5/9 to 7/9.
An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.
<h3>What is a quadratic equation?</h3>
A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is modeled or represented by this mathematical expression:
From the information provided, we have the following values;
0 = -3x² - 2x + 6
Where:
a = -3
b = -2
c = 6
Substituting the values into the quadratic formula, we have;
Read more on quadratic equation here: brainly.com/question/4053652
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For this case we have the following data:
So that the figure can be a rectangle, its diagonals must be equal, that is,
In this way we have:
Clearing x we have:
Thus, x must be equal to 10 so that the figure is a rectangle.
Answer:
Option A