The coordinates of the vertex for the quadratic function are given as follows: (100,10).
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]In this problem, the function is given as follows:
y = -x²/1000 + x/5
y = -0.001x² + 0.2x.
Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:
[tex]x_v = -\frac{0.2}{2(-0.001)} = 100[/tex][tex]y_v = -\frac{(0.2)^2}{4(-0.001)} = 10[/tex]More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
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Can someone please help me with this
Answer:
6.7 km/liter
Step-by-step explanation:
c = 187 km / 28 l = 6.67 ~ 6.7 km / l to two sig figures
I need the answer quickly please
Answer:
c²=√181=13.45, or 13.5
Step-by-step explanation:
The pythagorean theorem is a²+b²=c²
Given this, we will plug in our numbers like this: 9²+10²=c²
9²+10²=181, but we have to find the square root of that.
c²=√181=13.45, or 13.5
I hope this helps!! :)
Step-by-step explanation:
We have a right triangle which allows us to use the Pythagorean Theorem
Sherri solved the equatjon 1/5(x-20)=45. For each step, write the name of the property sherri used
Answer: The awnser is linear.
I hope this helped.
Step-by-step explanation:
WILL MARK BRAINLIEST!!
(07.05 MC)
Which of the following functions best represents the graph?
see attached
Answer:
the first option
Step-by-step explanation:
i know there's a rule to all of this but it's been a while since i've done this kind of math.
if you plug in the zeros to the equation, they solve
(-2, 0) --> (-2-2)(-2+1)(-2+2) = 0
(-1, 0) --> (-1-2)(-1+1)(-1+2) = 0
(2, 0) --> (2-2)(2+1)(2+2) = 0
how do you distribute this
(x+5)(x-5)
see the attachment photo.
Answer:
2x-5
Step-by-step explanation:
Thats the answer
Need help with this
n = 66
Step-by-step explanation:
you can make a proportion 3/99 = 2/x
[tex] \frac{3}{99} = \frac{2}{x} [/tex]
99 * 2= 198
3 * x = 3x
so the equation would be 198 = 3x
than do 198 ÷ 3 on ur calculator
so x (or n in this context) would equal 66
Find the midpoint of the line segment. Please hurry 15 points!
Answer: Hope this helps you
0,0
can someone please answer this fast! thanks
Answer:
The choice C.
[tex] {x}^{ \frac{5}{2} } [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = \frac{ {x}^{3} }{ {x}^{ \frac{1}{2} } } = {x}^{3} \times {x}^{ - \frac{1}{2} } \\ = {x}^{3 \times - \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
Or ;
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = {x}^{2} \sqrt{x} = {x}^{2} \times {x}^{ \frac{1}{2} } \\ = {x}^{2 + \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
A membership at a yoga studio costs $35 per month.
Write an equation for the cost of the membership,that you pay if you keep your membership for months.
Answer:
35×(m)=c
Step-by-step explanation:
m=months
c=cost
A cashier earns $7 an hour. if x is the number of hours worked, which function represents the cashier’s earnings? y = 7x y = x superscript 7 y = startfraction 7 over x endfraction y = 7
Answer:
y=7x
Step-by-step explanation:
The job pays $7 per 1 hour so to find out how much money you get for x hours, you would multiply the hourly rate ($7) by the amount of hours (x)
Answer:
y=7x
Step-by-step explanation:
edge review 2022
What was his mistake?
Circle the first line.
His mistake was: He substituted y from 2nd equation in 1st equation incorrectly. There is a minus sign before y and it wasn't taken into the account.
The correct steps are:
2x - y = 18
2x - (4x + 2) = 18
2x - 4x - 2 = 18
-2x - 2 = 18
-2x = 20
x = -10
y = 4x + 2
y = 4(-10) + 2
y = -40 + 2
y = -38
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola
Answer:
The vertex of the parabola is (5, -4).
Hope this helps!
Rewrite using exponential notation \root(6)((4\pi )^(3))
[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[6]{(4\pi )^3}\implies (4\pi )^{\frac{3}{6}}\implies (4\pi )^{\frac{1}{2}}[/tex]
If tan theta = -3/4 and theta is in Quadrant IV, cos2theta =, and tan2theta =
Step-by-step explanation:
please mark me as brainlest
Which line is being represented by the graph?
A
y = 3/4 X -3
B
y = 3/4x + 4
C
y = -3/4x + 4
D
y = -3/4 x - 3
Answer:
The answer is C, y= -3/4 + 4
is this true or false? please help
Answer:
true jufhjjzjsjjajajw
Find m/1.
130°
1
90°
t
The measure of the angle m1 is 110 degrees
How to determine the measure of angle m1?The measures of the arcs are given as:
Arc 1 = 130
Arc 2 = 90
The measure of the angle is calculated using:
Angle = 0.5 * (Arc 1 + Arc 2)
So, we have:
Angle = 0.5 * (130 + 90)
Evaluate
Angle = 110
Hence, the measure of angle m1 is 110 degrees
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Solve the inequality.
−13x+10>17
Which inequality represents the solutions to this inequality?
a) x<7x<7
b) x>−21x>−21
c) x<−21x<−21
d) x>7x>7
The solution to inequality is less than the negative of 21. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
−(1/3)x + 10 > 17
Then the solution to the inequality will be
−(1/3)x + 10 > 17
−(1/3)x > 17− 10
−(1/3)x > 7
When the sign is changed then the equality sign also changed.
(1/3)x < −7
x < − 21
The value of x is less than the negative of 21.
Thus, the correct option is C.
More about the inequality link is given below.
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How many units is -14 away from 0
Answer:
14
Step-by-step explanation:
|-14|=14
In the whole number 70,819, the place value of the digit 1 is
Answer:
ten
hope this helps....
Simplify the expression (10 + 3i)(10 - 3i).
Answer:
109
Step-by-step explanation:
[tex]\textbf{Assuming}~ i ~\textbf{as the imaginary unit, where}~ i = \sqrt{-1}~ \textbf{and}~ i^2 = -1\\\\\textbf{Given that,}\\\\~~~(10+3i)(10-3i)\\\\=10^2 -(3i)^2~~~~~~~~~~;\textbf{Difference of two squares} ~a^2 -b^2 = (a+b)(a-b)\\\\=100-9i^2\\\\=100-9(-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;{i^2 = -1}\\\\=100+9\\\\=109[/tex]
[tex](a-b)(a+b)=a^2-b^2[/tex]
Therefore
[tex](10 + 3i)(10 - 3i)=100-9i^2[/tex]
The point (-2,-3) is rotated 180 degrees counterclockwise about the origin. What is the y-coordinate of the resulting image
if f(x) = 4x²-2 then f(-3) is
Step-by-step explanation:
We are going to plug -3 into the equation of f(x) = 4x²-2.
f(-3) = 4(-3)²-2
f(-3)=36-2
f(-3)=34
The answer to this question is 34.
I hope this helps!! :)
help please dont know how to do this
Germaine measured the height of a plant, H, in centimeters (cm) as a function of days, d, since he planted it in
his yard. The following table shows his data.
d 0 2 4 6 8 10 12
H(d) 8.2 9.6 11.0 12.4 13.8 15.2 16.6
What is the rate of change of the function?
O 1.7 cm per day
O 8.4 cm per day
O 1.4 cm per day
O 0.7 cm per day
The rate of change of the function the height of a plant is gotten as; D: 0.7
How to find the rate of change?To find the rate of change, we will use the formula;
Rate of change = (y2 - y1)/(x2 - x1)
From the given table, we can solve for the rate of change by picking two consecutive points to get;
Rate of change = (9.6 - 8.2)/(2 - 0)
Rate of change = 1.4/2
Rate of change = 0.7
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Help me with this please
Answer:
See below
Step-by-step explanation:
1 IS a constant
9x IS a factor
9x is NOT a coefficient ( '9' is a coefficient)
yes it is a sum of three terms
9x and 1 are NOT 'like' terms
What is the solution to this system of equations?
Answer:
C
Step-by-step explanation:
C. x=7, y=5
You move left 5 units. You end at (-1, 5). Where did you start?
Answer:
(4,5)
Step-by-step explanation:
Hello!
If you move 5 units to the left, you change the x-value in (x, y) by -5.
Let the original x-value be x:
x - 5 = -1x = 4The original x-value is 4. Since you didn't change the y-value (up/down), you can keep the same y-value for the coordinate.
The original point was at (4,5)
Answer:
You started at (4, 5)
Step-by-step explanation:
The first number of coordinate pair is x. you started at the right and THEN moved the the left, as stated in the question. So -1 + 5 is 4.
So you started at (4, 5)
On a coordinate plane, a circle has a center at (negative 2, 0). Point (negative 2, 4) lies on the circle.
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (1, StartRoot 7 EndRoot) lie on the circle shown?
Explain.
Yes, the distance from (–2, 4) to (1, ) is 4 units.
Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
No, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is not 4 units.
No, the distance from (–2, 4) to (1, StartRoot 7 EndRoot) is not 4 units.
The correct answer to where the point(1, StartRoot 7 EndRoot) lies on the circle is A. Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units
What is a Coordinate Plane?This refers to the tool that is used to graph points on a two-dimensional plane that intersects two number lines.
Hence, given the information in the given diagram, there is a coordinate plane that shows a circle at the center that has certain values on the y and x-axis.
We can state that the point (1, StartRoot 7 EndRoot) lies on the circle shown because the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
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Answer: A on edge
Step-by-step explanation:
because i said so
Five dogs were running in a race. Bandit completed the race in 10 seconds after Sergeant and 30 seconds before Sally. Smokey completed the race 10 seconds before Sally and 25 seconds after Tobie. Which list correctly shows the dogs from first to last place?
A B C D
Answer:
Sergeant, Tobie, Bandit, Smokey, Sally
Step-by-step explanation:
Answer:
C
Step-by-step explanation: