After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5
How to determine the location of the vertex of the parabola by algebraic meansThe vertex is the bound point that characterizes parabolas and which can be a maximum or a minimum but never both. As we know the standard equation of the parabola, we can determine the location of the vertex, whose coordinates are (x, y) = (h, k), by just interpretating the equation, whose form is:
y - k = a · (x - h)² (1)
After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5
To learn more on parabolas, we kindly invite to check this verified question: https://brainly.com/question/4074088 #SPJ5
Find the value of a and b when x = 10
5x2
2
2x²(x - 5)
10x
Step-by-step explanation:
If x=10
2(10)²(10-5)
200 × 5
=1000
10x=10(10)
=100
Verify the equation: (sin x + cos x)(tan x + cot x) = sec x csc x
Answer:
The equation (sin(x) + cos(x))(tan(x) + cot(x)) = sec(x)csc(x) is not solvable because the two sides are not equal.
The graph of a system of equations is
shown below.
a. (2,0) and (0,3)
b. (-40,-50)
c. the system has no solution
d. the system has infinitely many solutions
Answer:
The system has no solution.
Step-by-step explanation:
In order for the system to have a solution, both graphs must have an intercept to each others. We see in the picture that both graphs are parallel and do not have any interceptions which we don't know the solution to the system.
That means if graphs are parallel and have no interceptions, there are no solutions. The system of equations are for finding the interceptions of both graphs. But of course! Parallel lines do not intercept.
If you have any questions, feel free to ask.
Please help me, i'm so confused
9514 1404 393
Answer:
(d) 512√3
Step-by-step explanation:
The area (A) of a regular hexagon can be computed from its side length (s) using the formula ...
A = (3√3)/2·s²
Here, the side length is given as ...
s = 32√3/3 = 32/√3
Then the area is ...
[tex]A=\dfrac{3\sqrt{3}}{2}\cdot\left(\dfrac{32}{\sqrt{3}}\right)^2=\dfrac{3\sqrt{3}\cdot1024}{2\cdot3}=\boxed{512\sqrt{3}}[/tex]
The area of the hexagon is 512√3 square units.
Peter makes 15 dollars an hour and he spends 25 dollars a day on transportation and food. Write an expression to describe his spendings and earnings in a day, where h is the number of hours that Peter works that day
15h - 25 dollars is an expression to describe his spendings and earnings in a day.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Peter makes 15 dollars an hour, so if he works for h hours, he earns:
15h dollars
Peter spends 25 dollars a day on transportation and food, so his total spending can be expressed as:
25 dollars
Therefore, his total earnings minus his total spending can be expressed as:
15h - 25 dollars
Learn more about algebraic Expression here:
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How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions? Explain.
Answer:
Step-by-step explanation:
1/5 + 1/5 = 2/5
1/7 + 1/7 = 2/7
1/3 + 1/3 = 2/3
There are an infinite number of these fractions. They must be 1 and 1 in the numerator, and the denominator must be relatively prime to 2. The examples I have picked are prime in the denominator, but the rule is not without many exceptions. For example
1/9 + 1/9 = 2/9
I don't think you can pick an even denominator because it will reduce when put with two. Oh wait 2/18 + 2/18 = 4/18 = 2/9 But these could be reduced before adding. Still, it might count. It depends on who is marking the question.
What about an odd and even denominator?
1/9 + 1/18 = 3/18 = 1/6 There must be something that works, but I can't come up with an example.
1%
The positions of towns A, B and C are shown in the scale diagram below.
.B
.
A
Scale: 1 cm represents 10 miles
Ismael's house is the same distance
from town A and town B.
His house is exactly 20 miles from town C.
Use the x tool to show all the possible positions of Ismael's house.
You must show all your construction lines.
[5]
There are no possible positions for Ismael's house.
In this case, we need the following geometrical constructions:
1) Given that Ismael's house has the same distance from towns A and B, we must create a line segment between A and B and perpendicular line passing through the midpoint of line segment AB.
2) Since Ismael's house is 20 miles away from town C, we must create a circle centered at C.
All possible positions of Ismael's house are the set of points where both the perpendicular line and the circle intercepts each other. After making all operations defined above, we conclude that there are no possible positions for Ismael's house.
We kindly invite to check this question on line segments: https://brainly.com/question/23297288
Compare the dimensions of the prisms. How many times greater is the surface area of the purple prism than the surface area of the red prism?
Answer: 3 times greater
Step-by-step explanation:
Height: 4x3=12
Length: 3x3=9
Width: 3x3=9
The sides on the red cuboid times by 3 equals the sides on the purple one.
Hope this helps :)
Quadrilateral PQRS is a rectangle. Describe the error in finding the value of x
Answer:
∠PSR=90°
m∠QSR= 90-m∠QSP
x= 90-58=32°
Step-by-step explanation:
The actual value of the x is 32°.
What are Quadrilaterals?Quadrilaterals are four sided polygons which also have four vertices and four angles.
Sum of all the interior angles of a quadrilateral is 360 degrees.
Given quadrilateral is a rectangle.
All the four interior angles of a rectangle is perpendicular angle or is 90 degrees.
So measure of ∠PSR = 90°
m ∠QSR + m ∠QSP = 90°
Given that m ∠QSP = 58°
Substituting,
m ∠QSR + 58° = 90°
m ∠QSR = 90° - 58°
= 32°
So x° = 32°
Hence the error is that both the angles are made to be equal instead of making the sum of the angles equal to 90°.
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Determine the domain and range in the function, f(x)=abx
f(x)=ab^x , when a =1/4 and b=16.
Plz help!!!!
Josh conducted an experiment with the bag of
marbles shown below. He will draw a marble out of the bag, record the result, return the marble to the bag, and draw another marble, continuing the process.
If he completes this process 600 times, about how many
times should he expect to draw a striped marble?
A.Approximately 400 times
B.Approximately 250 times
C.Approximately 200 times
D.Approximately 150 times
Answer:
Step-by-step explanation:
There are 12 marbles in total with three of them being striped. The chance of pulling out a striped marble is 3/12 which can be reduced to 1/4. And 1/4 of 600 is 150.
What is the solution set for -4m ≥ 96?
Answer:
m [tex]\leq[/tex] 24
Step-by-step explanation:
-4m ≥ 96
(divide both sides by -4)
m [tex]\leq[/tex] 24
(sign flips because dividing by a negative)
NO LINKS!!! PLEASE HELP!!
Answer:
stay calm
Step-by-step explanation:
stay calm
I need help on this.
tyler wants to buy a new television that costs $312.
Answer:
ummm is there more to the problem?!
Cool.... the question???
80% of grade 8 students, that is, 60 students want a new ice-cream shop in the
cafeteria. The total number of grade 8 students are?
Answer:
48
Step-by-step explanation:
60 students X 80%=48
20% is 12 students
40% is 24 students
60% is 36 students
so on and so forth.
Answer:
48.
Step-by-step explanation:
.80 x 60 = 48
Solve the system using elimination.
Answer:
x = 6
y = 4
Step-by-step explanation:
5x - 7y = 2
x - 7y = -22 (Multiply by -1)
-x + 7y = 22
5x - 7y = 2
4x = 24
x = 6
x - 7y = -22
6 - 7y = -22
-7y = -28
y = 4
Factor 64u–40.
Write your answer as a product with a whole number greater than 1.
Answer: 8(8u-5)
Step-by-step explanation:
Find a number that goes into both 64 and 40 the GCF of both is 8 so 8 goes on the outside of the new factor 8u-5 because if we distribute back we should arrive at the original equation
8(8u-5)
24 Hour Fitness charges svara spatee plus so per months to poun thensyn time has podszes por s gym membership so farHow many monohis has he been a member at 24 Hour Fitness monks
Answer:
4 months
Step-by-step explanation:
Equation:
y = 55 + 30x
y = gym membership
x = per month
Work:
y = 55 + 30x
175 = 55 + 30x
30x = 175 - 55
30x = 120
x = 4
4 months
what is the area of a semicircle that has a radius of 30 feet
Answer:
A = 1413.72 unit²
Step-by-step explanation:
area of a semicircle formula: A = (πr²)/2
To find the area of a semicircle that has a radius of 30 feet, apply r = 30 to the formula A = (πr²)/2:
A = (π30²)/2
A = 1413.72 unit²
Which event is less likely to occur:
Event A: The product of the numbers 2 dice land on being less than 11. (Hint: the
product is when you multiply 2 numbers together).
Event B: Selecting a number at random from 1-30, inclusive, which has at least one
digit being 2.
Answer:
event a because you have more out comed multiplying numbers than a set of numbers
The cost of a car rental is $40 per day plus $0.22 per mile. You are on a daily budget of $84. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
200 miles
Step-by-step explanation:
Given data
cost of car rental per day= $40
cost per mile= $0.22
We are told that the budget is $84
The expression for the total cost is given as
y= 40+0.22x
where x = the distance travelled
now for y=$84, by substituting we can get x
84=40+0.22x
84-40=0.22x
44=0.22x
divide both sides by 0.22
x= 44/0.22
x=200
Hence the distance that $84 will go is 200 miles
Which sequences are geometric? Check all that apply. –2, –4, –6, –8, –10, … 16, –8, 4, –2, 1 –15, –18, –21.6, –25.92, –31.104, … 4, 10.5, 17, 23.5, 30, … 625, 125, 25, 5, 1, …
Answer:
16,-8,4,-2,1
-15,-18,-21.6,25.92,-31.104...
625,125,25,5,1
Step-by-step explanation:
Answer: 16, –8, 4, –2, 1. has a common ratio,r = (-1/2)
-15, –18, –21.6, –25.92, –31.104 has a common ratio, r = (1.2)
625, 125, 25, 5, 1 has a common ratio, r= (1/5)
Step-by-step explanation: just took the test
HELP ME TEST QUESTION!! A bar graph is shown below. What percent of owners chose dog as their favorite pet?
1. What is 5,509 rounded to the thousands place?
А
6,000
B
5,500
5,600
D
5,000
Pre-image ABCD was dilated to produce image A'B'C'D' What is the scale factor from the pre-image to the image?
Answer:
The answer is 3/4
Step-by-step explanation:
what is the volume of each cylinder with a radius of 2.7 cm and a height of 5 cm
Answer:
114.51
Step-by-step explanation:
I'm not to sure what you meant by 'each' so I solved it like there was only one cylinder. hope this helped
(05.07 HC)
A student is assessing the correlation between the number of workers in a factory and the number of units produced daily?
Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)
Answer:
a) yes, because they both increase by the same increments each time. Tis can be represented by the equation y=5x+2
b) y=5x+2
c) The y-intercept represents the amount of units there were initially and the slope represents the amount of units for every worker.
Write the equation of the circle.
Circle C that passes through (-5, 1) with center C(1,-4).
Answer:
answer is on this page
Step-by-step explanation:
https://www.mathpapa.com/algebra-calculator.html
f(x) = x^2 + 4x-12
(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?
Answer:
a) x-intercepts at -6 and 2
b) y-intercept at -12
c) minimum at (-2, -16)
Step-by-step explanation: