The equation Negative one-half(x + 1) = (y – 5)2 is represented by which graph?
its Not A or B
Answers
Answer:
Step-by-step explanation:
one-half(x + 1) = (y – 5)^2, written symbolically, is (1/2)(x - [-1]) = (y - 5)^2
or x + 1 = 2(y - 5)^2 (after multiplying all terms by 2). Because the y term is squared, we know immediately that the graph is a horizontal (not vertical) parabola.
This equation (immediately above) can be written as
x = 2(y - 5)^2 - 1
The standard equation of a horizontal parabola with vertex (h, k) is x = c(y - k)^2 + h. Comparing this to the given quadratic:
we see that k = 5 and h = -1. This tells us that the vertex of this graph is (-1, 5), and that the graph is stretched horizontally because c = 2 is greater than 1.
To graph this, it's best to make a short table of points, as follows, remembering that y is the independent value and x depends on y through the equation given above.
y x = 2(y - 5)^2 - 1 (x, y)
0 x = 49 (49, 0)
2 x = 2(-3)^2 - 1 (17, 2)
1 x = 2(-4)^2 - 1 (31, 1)
vertex (already found) (-1, 5)
The graph of equation 1/2(x+1)=[tex](y-5)^{2}[/tex] looks like graph of a horizontal parabola.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to graph equation?one-half(x + 1) = (y – 5)^2, written symbolically, is (1/2)(x - [-1]) = [tex](y-5)^{2}[/tex]
or x + 1 = 2[tex](y-5)^{2}[/tex]. Because the y term is squared, we know immediately that the graph is a horizontal (not vertical) parabola.
This equation can be written as
x = 2[tex](y-5)^{2}[/tex] - 1
The standard equation of a horizontal parabola with vertex (h, k) is
x = c[tex](c-k)^{2}[/tex] + h. Comparing this to the given quadratic:
we see that k = 5 and h = -1. This tells us that the vertex of this graph is (-1, 5), and that the graph is stretched horizontally because c = 2 is greater than 1.
To graph this, it's best to make a short table of points, as follows, remembering that y is the independent value and x depends on y through the equation given above.
y x = 2[tex](y-5)^{2}[/tex] - 1 (x, y)
0 x = 49 (49, 0)
2 x = 2(-3)^2 - 1 (17, 2)
1 x = 2(-4)^2 - 1 (31, 1)
vertex (already found) (-1, 5)
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Related Questions
PLEASE HELP ASAP I WILL MARK BRAINLIEST!!
Lacey went to the fair. She paid $5 for the entrance fee. Each ride ticket cost $0.25. Lacey spent $12.50 at the fair. Which equation can be used to find how many ride tickets Lacey bought?
A $0.25r + $5 = $12.50
(в $0.25r + $5r= $12.50
C. 5r + $0.25 = $12.50
D. $0.25r-$5 = $12.50
Answers
Answer:
A
Step-by-step explanation:
cause im smart
A fraction of the figure below is shaded.
3rd grade
Answers
Answer:
D
Step-by-step explanation:
The fraction of the shaded square above is 1/6 and the one number line for D is also 1/6 of 1
What is the value of x?
What is the value of z?
What is tue value of y?
Answers
Answer:
x is equal to 55
y is equal to 70
z is equal to 55
Step-by-step explanation:
You can see that x is equal to (180 - 125)°, because x° and the 125° mark form a single line.
So x is equal to 55.
Also, because of the markings on the two sides of the triangle, we can see that it's an Isosceles triangle, meaning x and z are equal, so z too is equal to 55.
Finally, knowing that the sum of the angles inside any triangle is 180°, y then must equal (180 - 55 - 55)°, or 70°
z=70
y=55
hope this helps!!
What do I put under the 60 and 16 please help I’m so lost
Answers
Porcupines can cause damage to wood structures by chewing them. Researchers studied a liquid repellent
designed to reduce such damage. A sample of 20 wooden blocks of the same size were treated with the
repellent and left outside in an area where porcupines are known to live. After a certain amount of time, the
blocks were inspected for the number of porcupine teeth marks visible. The data were used to create the
95 percent confidence interval (4.9,5.8).
Which of the following claims is supported by the interval?
A
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is less than 5.
B
B
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is 5.
с
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is 6.
D
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is greater than 6.
E
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is less than 6.
Answers
Answer:
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.
Step-by-step explanation:
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.
Option A and E are the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
The 95% confidence interval for the mean number of porcupine teeth marks on wooden blocks treated with the repellent is (4.9, 5.8).
This means that we can be 95% confident that the true mean number of porcupine teeth marks on all such wooden blocks falls between 4.9 and 5.8.
Option A states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is less than 5.
This claim is supported by the confidence interval since the upper limit of the interval is less than 5.
Option B states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is 5.
This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are greater than 5.
Option C states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is 6.
This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are less than 6.
Option D states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is greater than 6.
This claim is not supported by the confidence interval, since the upper limit of the interval is less than 6.
Option E states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.
This claim is supported by the confidence interval since the upper limit of the interval is less than 6.
Therefore,
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.
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can someone find the slope intercept equation for this plz thanks ill give brainliest
Answers
Answer:
y = -3/4x - 1
Step-by-step explanation:
it is
Will give the brainiest!
Answers
Answer:
With speed of 18 feet per second the distance between the twins change.
Step-by-step explanation:
v1 is 10
v2 is -8
So, the difference is (10)-(-8)
which is 18.
Answer:
The distance of 2 feet with a speed of 10 feet per second.
What is the value of x in the following equation?
7x + 5(2x – 10) = 69
Answers
Answer:
Step-by-step explanation:
7x+10x-50=69
17x=69+50
x=7
Fixed Object Involved in Collision Number of Collisions Pole/post 1,416 Culvert/curb/ditch 2,516 Shrubbery/tree 2,585 Guardrail 896 Embankment 947 Bridge 231 Other/unknown 1,835 Assume that a collision will be randomly chosen from this population. Round your answers to four decimal places. a. What is the probability of a fatal collision with a pole or post
Answers
Answer:
0.1358 = 13.58% probability of a fatal collision with a pole or post
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
1416 collisions with pole or post.
1416 + 2516 + 2585 + 896 + 947 + 231 + 1835 = 10426 total collisions.
a. What is the probability of a fatal collision with a pole or post?
[tex]p = \frac{1416}{10426} = 0.1358[/tex]
0.1358 = 13.58% probability of a fatal collision with a pole or post
Geometry help please. Answer choices: A, B, C, or d. Picture beloe.
Answers
Answer:
D
Step-by-step explanation:
you reverse the numbers in the y spot, so if they are negative make them positive, vise versa
Solve for X in the figure below, knowing line L is parallel to line M. Thank you! Will give Brainliest.
Answers
Is the answer
Pls make me the brain lies.
Use the function to evaluate the indicated expressions and simplify.
f(x) = x + 5
f(x2) =
(f(x))2 =
Answers
9514 1404 393
Answer:
f(x²) = x² +5(f(x))² = x² +10x +25Step-by-step explanation:
Put the argument in place of x and evaluate the desired expression.
__
1. f(x²) = x² + 5 . . . . . . straight substitution for x
__
2. (f(x))² = (x +5)²
= (x +5)(x +5) = x(x +5) +5(x +5) = x² +5x +5x +25
(f(x))² = x² +10x +25
What is the y-intercept of the line?
Answers
Answer:
28
Step-by-step explanation:
Answer: 5 is the y-intercept and -16 is the slope
22 - 17 = 5
32 - 48 = -16
Step-by-step explanation:
Describe the features of x ≥ (y – 3)2 – 2? Check all that apply.
parabola with a vertex (–2, 3) opening to the left
parabola with a vertex (–2, 3) opening to the right
parabola with a vertex (–2, 3) opening up
quadrant 2 is not shaded at all
quadrant 3 is not shaded at all
Answers
Answer:
parabola with a vertex (-2,3) opening to the right and quadrant 3 is not shaded at all
Step-by-step explanation:
correct on edge 2021
Option (B) parabola with a vertex (–2, 3) opening to the right, and option (E) quadrant 3 is not shaded at all are correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have given a parabolic inequality:
x ≥ (y – 3)² – 2
After plotting on the graph:
parabola with a vertex (–2, 3) opening to the right
quadrant 3 is not shaded at all
Thus, option (B) parabola with a vertex (–2, 3) opening to the right, and option (E) quadrant 3 is not shaded at all are correct.
Learn more about the parabola here:
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Which fraction has the larger value? *
-3/4
-1/2
Answers
Answer:
I'm thinking it's -1 / 2
Step-by-step explanation:
not sure how but
Answer:
-1/2
Step-by-step explanation:
Why? Because 1/2 is bigger than 3/4
Complete the congruency statement for the triangles
Answers
Answer:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Step-by-step explanation:
<A ≅ <E,
Side length AC ≅ Side length EF
Side length AB ≅ Side length ED,
Thus, this implies that an included angle and two sides of one triangle are congruent to an included angle and 2 corresponding side lengths of the other triangle.
Therefore, we would conclude that:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Im just needing help with problem 1 and 2
Answers
Answer:
for both 1 and 2 you need the 1st equation (p= 2w+2l)
Step-by-step explanation:
1.
p=2(10)+2(7)
p=20+14
p= 34
2.
p=2(100)+2(24)
p= 200+48
p= 248
62.8 in scientific notation
Answers
Answer:
6.28 x 10²
Step-by-step explanation:
first number must be greater than or equal to 1 and less than 10
if you move the decimal to the left you need to increase the power of ten by one for each move
if you move the decimal to the rightt you need to decrease the power of ten by one for each move
–12x +12 + 10x – 16 *
Answers
Answer:
x=2
Step-by-step explanation: you would have to move 10 to the other constant and add and then move 12 to 16 by adding 12 to 16 then divide the 2 number then BOMB
Simplify the expression 9x + 5-3x + 12
6x - 7
6x + 17
12x + 17
23x
Please help
Answers
Answer:
6x + 17
Step-by-step explanation:
Combine like terms
9x - 3x = 6x
5 + 12 = 17
6x + 17
1)Using the symbolic representations p: The food is spicy q: The food is aromatic express the following compound statement in symbolic form: a) The food is aromatic and spicy. b) If the food isn't spicy then it isn't aromatic c) It is not the case that the food spicy or aromatic. d) Being non-aromatic is sufficient for a food to be non-spicy.
Answers
Answer:
one one one one one oneone one one one
PLEASE HELP
WILL MARK BRAINLY
1. The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent. Which of the following equations
defines the population t years after 2010?
O P= 45, 2302
OP=45, 230(1+0-2)*
OP=45, 2300
OP=45, 230(1 +0.02)
Answers
Answer:
C
Step-by-step explanation:
The following equation defines the population t years after 2010,
P = 45230(1 + 0.02[tex])^{t}[/tex].
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and sx is the time period.
Given:
The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent.
The formula;
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
That means,
P = 45230(1 + 0.02[tex])^{t}[/tex]
Therefore, the equation is P = 45230(1 + 0.02[tex])^{t}[/tex]
To learn more about the exponential growth;
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Convert to slope intercept form 4x+5y=-20
Answers
Answer:
Slope-intercept form is: y=mx+b. Where m = slope or rise/run & b = y-intercept or where the line crosses the y axis. So for 4x + 5y = 20 the slope intercept form is y = -4x/5 + 4.
Step-by-step explanation:
Answer:
y = -4/5x - 4
Step-by-step explanation:
4x + 5y = -20
-4x -4x
5y = -4x - 20
divide it all by 5
y = -4/5x - 4
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Please give me the answer
Answers
Answer:
B is the right answer
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Left Two Up Three
Answer plz. I'll get my points back if you put something random.
Answers
Answer:
D.
Step-by-step explanation:
Because, 60% of 2.50 (the pre-assumed cost of pizza) is 1.50.
Can somebody please help me with this question
Answers
Answer:
An event can have a probability of 3/2 is not true
Step-by-step explanation:
The probability of an event happening is between 0 and 1 inclusive.
A probability of 1 means the event is certain to happen or 100%
You cannot have a probability greater than 1 so
An event can have a probability of 3/2 cannot happen
what is the value of n when 3/5 of n is 27?
Answers
Answer:
n=45
Step-by-step explanation:
divide 27 by 3 and you get 1/5 of n. Then multiply the number you got (9) by 5 to get 1 whole. your answer is then 45
Which is a recursive formula for the sequence 50, 54, 58, 62, …?
A. an=4n+46
B. {a1=50an=an−1+4, where n≥2
C. an=4n+50
D. {a1=46an=an−1+4, where n≥2
Answers
Answer:
A
Step-by-step explanation:
common difference d = 4
nth term = a₁ + (n-1)d
= 50 + (n-1)4
= 50 + 4n-4
= 46 + 4n
I need this please help me
Answers
christian has a maximum of 50$ to spend on his school trip a ticket to the theme park cost 27$
Answers
Answer:
50 minus 27 is 23 so she has $23 more dollars left?
Step-by-step explanation: