The first term of a geometric sequence is –2 and the common ratio is -1/4.
2 answers:
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Answer:
x ≈ 33.0
Step-by-step explanation:
The third angle in the triangle is
180° - 70° - 76° = 180° - 146° = 34°
Using the Sine rule in the triangle
=
( cross- multiply )
x × sin34° = 19 × sin76° ( divide both sides by sin34° )
x = ≈ 33.0 ( to the nearest tenth )
<u>5x² + 9x - 1</u><u> is the expression that represents a </u><u>quadratic expression</u><u>.</u>
What is quadratic expression?
- Quadratic expression is an expression with the variable with the highest power of 2.
- The word quadratic is derived from the word quad which means square.
- The expression should have the power of two and not higher or lower.
A quadratic expression is of the form
ax² + bx +c = 0 where a ≠ 0
The give options are-
9x - 2
5x² + 9x - 1
-2x³ + 8x² - 7x +1
From the given options, the only expression which is quadratic is
5x² + 9x - 1
wChoose the expression that represents a quadratic expression. 9x − 2 5x2 9x − 1 −2x3 8x2 − 7x 1 x4 − 12x3 8x2 −here a =5, b=9 and c=-1
Therefore, 5x² + 9x - 1 is the expression that represents a quadratic expression.
Learn more about quadratic expression.
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The statement (A), statement (B), statement (D) are correct because the equation is y = 437.9x + 439.4
<h3>What is the line of best fit?</h3>A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
From the data given, we can calculate the correlation coefficient, slope of the line, and y-intercept.
r = 0.90
Since r is close to 1 shows a strong correlation.
Slope of the line of best fit = 437.9
Y-intercept of line of the best fit = 439.4(Refer to the attached picture)
The line will be:
y = 437.9x + 439.4
Thus, the statement (A), statement (B), statement (D) are correct because the equation is y = 437.9x + 439.4
Learn more about the line of best fit here:
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