Answer: C
Step-by-step explanation: Round to the nearest 100
Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x, y) point.
y= -x^2-10x-22
Answer:
vertex: (-5, 3)
Step-by-step explanation:
Besides providing the graph of the given quadratic equation, I will also demonstrate the algebraic method of solving for the vertex of a parabola.
Method 1: Algebraic SolutionGiven the quadratic equation, y = -x² - 10x - 22, where:
a = -1, b = -10, and c = -22.
Find the x-coordinate of the vertex:In order to find the vertex of the given equation, use the following formula to find the x-coordinate of the vertex: [tex]x = \frac{-b}{2a}[/tex].
[tex]x = \frac{-b}{2a}[/tex]
[tex]x = \frac{-(-10)}{2(-1)}[/tex]
[tex]x = \frac{10}{-2}[/tex]
x = -5
The x-coordinate of the vertex is: x = 5.
Find the y-coordinate of the vertex:Next, substitute the value of the x-coordinate into the given quadratic equation to find its corresponding y-coordinate:
y = -x² - 10x - 22
y = -(-5)² - 10(-5) - 22
y = -25 + 50 - 22
y = 3
Therefore, the vertex of the given parabola is: (-5, 3), where it is the maximum point.
One of the attachments is the screenshot of the graphed quadratic equation (using Desmos), where it shows the vertex as the maximum point.
Method 2: Graphing CalculatorIf you have a graphing calculator (such as the Texas Instruments graphing calculator):
Press Y=Then, simply enter the given quadratic equation, -x² - 10x - 22.Next, press 2ND ⇒ Quit. Press the GRAPH button. Press 2ND ⇒ TRACE Select option 4: maximumIt will ask for the "Left Bound?": move the cursor as close to the maximum point as possiblePress ENTER. Next, it will ask for the "RightBound?" Repeat the same process as in step #7. Press ENTER.It will ask for "Guess?" ⇒ press ENTER, and it will provide the same coordinates for the vertex, (-5, 3).Please let me know if you have any questions or concerns regarding this post.
Determine the relationship between The two triangles on whether or not they can be proven to be congruent
Answer:
ASA congruence
Step-by-step explanation:
here two angles and in between side are equal for these two triangles
In a particular country, 3% of the population is HIV positive. A test for HIV correctly
diagnoses 95% of those who have the condition, but incorrectly diagnoses 4% of those
who are not HIV positive as being HIV positive. A patient obtains a positive test result,
apparently indicating the presence of HIV. Determine the probability that the patient
really is HIV positive.
Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient really is HIV positive.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happeningIn this problem:
Event A: positive test.Event B: HIV positive.The percentages involving a positive test are:
95% of 3%(positive)4% of 100 - 3 = 97%(not positive).Hence:
[tex]P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673[/tex]
The probability of both having a positive test and being HIV positive is:
[tex]P(A \cap B) = 0.95(0.03)[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235[/tex]
0.4235 = 42.35% probability that the patient really is HIV positive.
A similar problem is given at https://brainly.com/question/14398287
The sum of the speed of two trains is 725.6miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train find the speeds of each
Step-by-step explanation:
change it in meter and solve it
What is the slope of the line that
passes through the points (-1, 3)
and (2, 10)?
Answer:
D [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
For find the slope of whatever line we use the next formula:
[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So in our occasion we have:
[tex]y_2 = 10 \quad \text{and} \quad y_1 = 3\\x_2 = 2 \quad \text{and} \quad x_1 = -1[/tex]
Replacing in the equation:
[tex]\frac{10 - 3}{2 - (-1)} = \frac{7}{3}[/tex]
So the answer is [tex]\frac{7}{3}[/tex]
Which of the following statements is most correct? Select one:
a. Other things equal, the higher the dividends, the lower the stock price.
b. Other things equal, the investment holding period does not affect the stock price.
c. Other things equal, the higher the required rate of return, the higher the stock price. d. Other things equal, the higher the dividend growth rate, the lower the stock price.
e. Other things equal, the lower the market value of debt, the lower the value of equity.
Answer:a
Step-by-step explanation:
the answer is a because it is
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Left 3 down 4
Step-by-step explanation:
I'm not sure how to explain it, but I can give advice. A site that really helped me with this was Desmos Graphing Calculator.
Find the sum of 8080,8928 and 7005
Answer:
80,815,933
Step-by-step explanation:
help pls ill give brainly
Answer:
Find the Diameter!
To find the diameter, get the cirumference, divide it by 2, and multiply it by Pi (3.14)
For this certain equation, it appears the circumference is 13. 13/2 is 6.5. 6.5 times 3.14 is 20.41.
Answer:
I think the other guy is correct I'm just putting this here so you can give him/her brainliest
Step-by-step explanation:
12 x 12 x 12 = 4 x # x 4 what number must replace the '#' symbol
Answer:
I'm pretty sure it's 108.
Step-by-step explanation:
12 x 12 x 12 = 1,728
4 x 4 = 16
1,728 ÷ 16 = 108
Help help help help help help help help help
Answer:
(-1,1)
Step-by-step explanation:
Im pretty sure the answer to A'' would be the inverse of A, as the triangle was mirrored on the opposite quadrant of the graph. (The inverse or opposite of (1,-1) would be (-1,1) ).
Hope this helped!
what is the domain and range?
Find x, y, and z such that x³+y³+z³
Answer:
x= -y-z
y= -x-z
z= -x-y
i think this is it
Answer:
complete the question pls
Step-by-step explanation:
!PLEASE ANSWER ASAP! THANK YOU IN ADVANCE!
mrs. piggiewinkle knows how to use texting, instant messenger, emailing, calling, and mailing letters to communicate with her students. she must select 2 methods of communication out of the 5 to send her students an important message. in how many ways can choose the communication methods?
Answer:
Step-by-step explanation:
She must write an email to the new employees explaining how to access documents that need editing and what to do with new versions of the documents.
Answer: 20 ways
Step-by-step explanation: I believe that you would need to use permutation, so:
5P2 = 20
Answ
Question
Dylan went to the toy store and
bought 3 action figures for $45.
How much did 1 action figure
cost?
*Use the dollar sign"
10
Using the information from
problem #9, write the equation.
What is the equation?
Answer:
15$
Step-by-step explanation:
45 ÷ 3 = 15
method
Solve the problem.
22) Find the area of the skating rink. Round to the nearest tenth.
36 ft
The rectangle
9 ft
36 X 9
平
6)9:36
19.36 -762
Step-by-step explanation:
the rink is a combination of a rectangle and 2 half-circles.
so, we need the areas of the rectangle and a full circle and add these 2 values.
the survivability is a little bit unclear. are the 9 ft the length of the arrow, or the whole width of the area ?
let's assume it is the first.
then the 9ft are the radius of the half-circles, and the width of the ice area is then the diameter of the circles and therefore twice the radius. 2×9 = 18ft.
the rectangle is simple :
Ar = 36×18 = 648 ft²
the formula for the area of a circle is
Ac = pi×r² = pi×9² = pi×81 = 254.4690049...ft²
this is rounded 254.5 ft²
as total area we have
648 + 254.5 = 902.5 ft²
You are a prisoner sentenced to death. The emperor (who has sentenced you) offers you a chance to live by playing a simple game. He gives you 10 black marbles, 10 white marbles, and 2 empty bowls. He then says, "Divide these 20 marbles into these 2 bowls. You can divide them any way you like as long as you place all the marbles in the bowls. Then I will blindfold you, and ask you to choose a bowl, and remove ONE marble from that bowl you have chosen. You must leave the blindfold on the entire time, and must remove the first marble you touch. If the marble is white you will live, but if the marble is black, you will die."
————
Please help?
Answer:
YeYEYEyYEEeeeeeeeeeeeeeeeeeeeeEE
Step-by-step explanation: kinda sounds like that epesode from squid game episode 7 i think
Find the solution to the system of equations.
You can use the interactive graph below to find the solution
- 72 - 2y = 14
ALE
са
6x + 6y = 18
AS
y =
JO
y
7
AS
6
5
4
3
2
Со
+2
1 2 3 4 5 6 7
-7-6-5-4-3-2
SA
Pro
Do noble
9514 1404 393
Answer:
x = -4y = 7Step-by-step explanation:
It looks like your interactive graphing tool needs you to plot some points on each of the lines. For these lines, it is convenient to use the x- and y-intercepts. Each intercept can be found by dividing the constant by the coefficient of the variable.
-7x -2y = 14
The x-intercept is 14/-7 = -2. Plot (-2, 0) on the x-axis.
The y-intercept is 14/-2 = -7. Plot (0, -7) on the y-axis.
6x +6y = 18
The x-intercept is 18/6 = 3. Plot (3, 0) on the x-axis.
The y-intercept is 18/6 = 3. Plot (0, 3) on the y-axis.
__
The point of intersection of the two lines is the solution: (x, y) = (-4, 7).
Pls help me pls dont answer if you dont know
Answer:
the answer is 147
Step-by-step explanation:
first you do 3.5cm times 84cm which is 294cm
then you do 294cm divided by 2 which is 147cm
the reason why you divide by 2 is because parallelograms like the triangle can be also halved into 2 separate triangles!!
hope this helped <3
Write an explanation to help your friend understand why the expression 0.45x represents decreasing x by 55%.
Need the answer please and thank you!
Answer:
A variable is a letter that is used to represent a number. For instance, in this problem the variable x represents an unknown number that will equal 5 when added to 2.
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
x - (55/100)x = 0.45x
The decreasing x by 55% is 0.45x
What is a percentage?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Decreasing x by 55%.
This can be written as,
= x - (55/100)x
= x - 0.55x
= 0.45x
Thus,
The decreasing x by 55% is 0.45x
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
A desk is on sale for 15% off. The sale price is $612.
What is the regular price?
Answer:
$720
Step-by-step explanation:
Step 1: Set up the expression.
[tex]\frac{612}{1-0.15}[/tex]Step 2: Simplify.
[tex]\frac{612}{0.85}[/tex]Step 3: Convert 0.85 into a fraction.
[tex]612/ \frac{85}{100}[/tex] [tex]612/ \frac{17}{20}[/tex]Step 4: Multiply 612 by reciprocal of 17/20.
[tex]612 * \frac{20}{17}[/tex] [tex]36 * 20[/tex] [tex]720[/tex]Therefore, the regular price was $720.
What is the value of the expression 4.2(x−y)4 , when x = 12 and y = 5.6 as a decimal?
Answer:
6.72
Step-by-step explanation:
Form an equation to help you solve this problem Four identical lumps of gold on one side of some scales balance with one identical lump and a 22kg mass. Find the mass of one lump of gold. kg
Answer:
equation= 4x=x+22kg
Step-by-step explanation:
i hope it helped :))
Can someone give more explanation
You just have to underline the word that connects two sentences .
for example: In number 2. Sophia ate a lot. She is still hungry. These are two sentences the word 'yet' connects two sentences. that is called conjunction.
1.= under line so
2.= under line yet
3.= under line but
4.= under line so
The total cost for tuition plus room and board at State University is $2737. Tuition costs $787 more than room and board. What is the tuition fee?
What is the cost of tuition?
Please help me I beg you I beg pms pls pls pls pls pls
7. Find the length of AB
please answer will mark brainelist :)
Answer:
A) 17 m B) 20.8 m
Step-by-step explanation:
I cannot mark on the image but you can find the length of A to the bottom of the shape by subtracting 26-11
26-11 = 15
I will label the triangle as ABC (AB the length we trying to find, BC is 15 *it is angle B to the intercept of A and the bottom of the shape, AC is 8 because it is parallel to the given length 8)
AB is the hypotenuse
We can use the pythagorean theorem to find length AB (a^2 + b^2 = c^2)
a and b is the legs which is 8 and 15
8^2 + 15^2 = AB^2
64 + 225 = AB^2
289 = AB^2
√289 = AB (to undo a square, you use square roots)
√289 = 17
AB = 17 m
Now we need to find the hypotenuse of AC
the same thing, we did for problem A, use the pythagorean theorem
17^2 + 12^2 = AC^2
289 + 144 = AC^2
433 = AC^2
√433 = AC
√433 is about 20.808...
round to the tenth as stated in the directions
AC = 20.8 m
6. Elena writes the equation 6x + 2y = 12. Write a new equation that has:
a. exactly one solution in common with Elena's equation
b. no solutions in common with Elena's equation
c. infinitely many solutions in common with Elena's equation
Answer:
2x ×2y=15. then solve for equation x and y
The profit at a chocolate shop can be represented using the function f(x)=3x−95, where x is the number of chocolate truffles sold each day. What is the slope and what does it represent?
Can someone explain how to do this.
A bottle is filled with 4oz of perfume. If 20% of the perfume evaporates, how many ounces remain?
Answer:
The answer will be:- ( 0.8 oz ).