Answer:
par t a:
plug in the root (4,0) to find a
0=a(4-24)^2+50
subtract 50 from both sides
-50=a(4-24)^2
4-24
=-20
-20^2=400
back to the equation
-50=a(400)
-50=400a
-50/400=-0.125
a = -0.125
part b:
-0.125(x-24)^2+50
-0.125(x-24)(x-24)+50
-0.125(x^2-24x-24x+576)+50
-0.125(x^2-48x+576)+50
-0.125x^2+6x-75+50
-0.125x^2+6x-22
a=-0.125
b=6
c=-22
part c: yes he went through
part d:
plug in vertex (4,0) and (44,0)
if x is 4 and y is 0
0=-0.125(4)^2+6(4)-22
0=-2+24-22
0=-2+2
0=0
if x=44 and y=0
0=-0.125(44)^2+6(44)-22
0=-242+264-22
0=-242+242
0=0
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZ
Answer:
All real numbers greater than zero.
Step-by-step explanation:
Any real number greater than zero but lesser than 1 lead to a negative number. When input is 1, the output is zero. Lastly, any real number greater than 1 leads a positive number. Hence, the domain of the natural logartihmic function is the set of all real numbers greater than zero.
The 12th term of the given geometric sequence is equal to -8,388,608.
<u>Given the following sequence:</u>
<h3>What is a geometric sequence?</h3>
A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
![a_n =a_1r^{n-1}](https://tex.z-dn.net/?f=a_n%20%3Da_1r%5E%7Bn-1%7D)
<u>Where:</u>
- a is the first term of a geometric sequence.
Substituting the given parameters into the formula, we have;
![a_{12} =2 \times -4^{12-1}\\\\a_{12} =2 \times -4^{11}\\\\a_{12} =2 \times -4194304](https://tex.z-dn.net/?f=a_%7B12%7D%20%3D2%20%5Ctimes%20-4%5E%7B12-1%7D%5C%5C%5C%5Ca_%7B12%7D%20%3D2%20%5Ctimes%20-4%5E%7B11%7D%5C%5C%5C%5Ca_%7B12%7D%20%3D2%20%5Ctimes%20-4194304)
12th term = -8,388,608.
Read more on geometric sequence here: brainly.com/question/12630565
Answer:
W'(8,5) X'(7,-5) Y'(-8,10) Z'(-4,-10)
I would say that this is the answer, but when I graphed it out, it didn't make a rectangle, so I believe that you or your teacher typed something wrong.
Answer:
the system of equations has infinite solution
Step-by-step explanation:
Reese states that the system of equations has no solution because the slopes are the same. Describe Reese’s error. ( y=−3x−1 ), ( 3x+y=−1 )
Solution:
The equation of a straight line graph is given by:
y = mx + b, where m is the slope of the line and b is the y intercept.
A system of linear equations has no solution when the graphs are parallel, that is they have the same slope and different y intercept.
A system of linear equations has infinite solutions when the graphs are the exact same line, that is they have the equal slope and equal y intercept.
The first equation: y = -3x - 1 has a slope of -3 and y intercept of -1.
The second equation: 3x + y = - 1; i.e. y = -3x - 1 has a slope of -3 and y intercept of -1.
Since both equations have equal slope and equal y intercept, hence both equations are infinite solutions.
Therefore the statement that the system of equations has no solution is wrong.