Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Quadratic function </u>
with the roots:
<h3>To find </h3>
<h3>Solution</h3>
<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>
- (-5 + 9i) + (-5 - 9i) = -b/-1
- -10 = b
- b = -10
And
- (-5 + 9i)(-5 - 9i) = c/-1
- (-5)² - (9i)² = -c
- 25 - 81(-1) = -c
- - c = 25 + 81
- - c = 106
- c = -106
g(x) = -x² -10x - 106
Kevin painted
of the wall.
Solution:
Fraction of the wall painted by Elena = ![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
Fraction of the wall painted by Matthew = ![\frac{3}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B9%7D)
Fraction of the wall painted by Kevin = ?
Full wall can be taken as 1.
<u>To find the wall painted by Kevin:</u>
Rest of the wall = Full wall – painted by Elena – Painted by Matthew
![$=1-\frac{5}{9}-\frac{3}{9}](https://tex.z-dn.net/?f=%24%3D1-%5Cfrac%7B5%7D%7B9%7D-%5Cfrac%7B3%7D%7B9%7D)
![$=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B1%7D%7B1%7D%20-%5Cfrac%7B5%7D%7B9%7D-%5Cfrac%7B3%7D%7B9%7D)
To make the denominator same, multiply the numerator and denominator of the first term by 9.
![$=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B9%7D%7B9%7D%20-%5Cfrac%7B5%7D%7B9%7D-%5Cfrac%7B3%7D%7B9%7D)
![$=\frac{9-5-3}{9}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B9-5-3%7D%7B9%7D)
![$=\frac{1}{9}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B1%7D%7B9%7D)
Rest of the wall = ![\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D)
Hence the kevin painted
of the wall.
Answer:
a = 615
Step-by-step explanation:
The value of 4 is 4000, this is because it is in the thousands column (units,tens,hundreds,thousands etc)
The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression is given below.
8 × 10⁶ and 7.92 × 10⁹
The addition of both terms 8 × 10⁶ and 7.92 × 10⁹ will be
⇒ 8 × 10⁶ + 7.92 × 10⁹
⇒ 8 × 10⁶ + 7920 × 10⁶
⇒ 7928 × 10⁶
⇒ 7.928 × 10⁹
The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.
More about the Algebra link is given below.
brainly.com/question/953809
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