For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
The number that produces a rational answer when added to 0.85 is; 193/180
<h3>How to identify rational numbers?</h3>
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.
Now, let us convert 0.85 to a fraction. Thus;
0.85 = 85/100 = 17/20
From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;
17/20 + 2/9 = 193/180
193/180 is a rational number.
The missing options are;
A. 2/9
B. 0.2645751311...
C. √2
D.
Read more about rational numbers at; brainly.com/question/4694420
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Answer:
x = 71
Step-by-step explanation:
The sum of the measures of the exterior angles of a polygon is always 360°.
A triangle has 3 exterior angles.
152+ 137+x = 360
Combine like terms
289 +x = 360
Subtract 289 from each side
289-289+x=360-289
x = 71
Answer:
A doctor sees more different patients each year than a teacher sees different students. The doctor can affect those people in ways that are much more personal and have much more of an immediate impact on their life. Teachers can help enrich the world intellectually, but doctors help keep us in good health.Both doctors and teachers are crucial professions. ... A doctor is one of the most important professions. After all, these specialists have knowledge and skills to diagnose, treat, and control the course of various diseases. Doctors save our lives.A teacher is better because he/she gives you the first advice on what to do and a doctor follows. Teachers are more knowledgeable than doctors. A teacher has knowledge about politicians, nurses and other professions yet doctors only treat patient. a teacher They encourage students to understand the importance of dedicating themselves to passion projects or endeavors. And success builds upon success. The more a student pushes themselves to accomplish their goals, the more they realize what they are capable of doing.
hope this helps :)
Answer:
x=1000 or 10 to the 3rd power
