What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma five and turning at the point two comma one and contin Courtesy of Texas Instruments (2 points) y = (x - 2)2 + 1 y = (x - 1)2 + 2 y = (x + 2)2 + 1 y = (x + 2)2-1
Answers
Answer:
y = (x - 2)² + 1
Step-by-step explanation:
Gnerela equation of a parabola in vertex form:
y = a(x - h)² + k
where (h, k) is the vertex
From the description of the graph:
the parabola passes through (0,5)the parabola has a vertex at (2,1)Replacing into the general equation:
y = a(x - 2)² + 1
5 = a(0 - 2)² + 1
5 - 1 = a*4
4/4 = a
1 = a
Then, the equation is: y = (x - 2)² + 1
Answer:
The correct answer is A, "y = (x - 2)² + 1"
Step-by-step explanation:
I just completed the test and got full credit using this option.
Related Questions
Lynette has a metal doorstop with the dimensions shown. Each cubic centimeter of the metal in the doorstop has a mass of about 8.1 grams. Find the volume of the metal in the doorstop. Then find the mass of the doorstop.
Answers
Answer:
75 is the volume. 510 is the mass.
Step-by-step explanation:
because purrr just trust me
x < -9=?
plsssssssssss help
Answers
Answer:
any number below -9, or any regular number.
please give brainliest ☻︎
Explanation: The domain is anything under -9 () means not including
Infinity is never included
What is the answer to 6 - 1 1/2
Answers
Answer:
the answer is 0.5
Step-by-step explanation:
11/2=5.5
6-5.5=0.5
Answer: Heyaa! ~
Your Answer is... 4.5 or in exact form its, 9/2
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
To find the least common denominator first convert all integers and mixed numbers (mixed fractions) into fractions. Then find the lowest common multiple (LCM) of the denominators. This number is same as the least common denominator (LCD).You can then write each term as an equivalent fraction with the same LCD denominator.Hopefully this helps you! ^^
How can I find the cube root of 64?
Answers
Answer:
4
Step-by-step explanation:
The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.
The cube root of 64 is 4.
Before solving the question, let's understand the concept of cube root.
The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.
The cube root is denoted by ∛
Now, we will find the cube root of 64.
Firstly, we have to find factor 64.
64 = 2 × 2 × 2 × 2 × 2 × 2.
64 = ∛4³
64 = 4
Therefore, the cube root of 64 is 4.
To know more about cube root:
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Alan is tiling a 6 ft-by-8 ft rectangular floor with square
tiles that measure 4 in. on each side. How many tiles
does Alan need to cover the floor?
Answers
Answer:
he would need 21 tiles on each side. I think
Step-by-step explanation:
Explanation: 12inches=1ft
Floor:6ft8in
Three 4inch tiles=1ft
If there’s 18 4inch tiles that’s 6 ft
And 4x2=8 inches
Help!!!!
Mrs. Jones wants to paint the back wall of her classroom light blue. If the dimensions of the wall is 20 feet by 12 feet, how much paint will she need to paint her classroom wall? Round to the nearest tenth if necessary.
Answers
Answer:
The total area of the back classroom wall is (20ft x 12ft) = 240ft²
The paint coverage is usually rated by area coverage. For example, one gallon of paint is expected to cover 400 ft².
Assuming a gallon of paint will cover 400ft², she will need (240ft²/400ft²) = 0.6 gallon of paint to cover the entire wall.
Mrs. Jones will need 0.6 gallon of paint to paint the back classroom wall.
Farad wrote the expression 32 - 8f to represent
the relationship in a table of values. Use
properties of operations to write equivalent
expressions.
Write at least 4 equivalent expressions
Answers
Please Help And EXPLAIN And ANSWER!
Answers
Answer: Area is 426
Step-by-step explanation: Do 15 x 26 which is 390 to find out the rectangle part, and the area for a triangle is 1/2 (b x h) so 9 x 8 is 72 and then divide by 2 is 36 so 390 + 36 is 426
426 sq feet
\(\bold{SOLUTION:}\)
Justin did push-ups every weekday this week. He did 8 push-ups on Monday, 14 push-ups on Tuesday, 18 push-ups on Wednesday, 6 push-ups on Thursday, and 8 push-ups on Friday.
Find the mean number of push-ups.
Help!
Answers
Answer:
10.8
Step-by-step explanation:
to so the mean you add up all of the numbers and divide by the amount you have. so add up all the numbers to get 54, the divide 54 by 5 because there are numbers.
Answer: The answer is 10.8.
Step-by-step explanation: Add all the numbers together and divide by how many were added together.
Which of the following is the solution to the inequality below? 5x - 6 \(\leq\) 14
A) x \(\leq\) - 4/5
B) x \(\geq\) 4
C) x \(\geq\) - 4/5
D) x \(\leq\) 4
Answers
Answer:
D. x \(\leq\) 4
Step-by-step explanation:
1. You add 6 to each side
2. Divide each side by 5 to isolate x
Answer:
answer is A.
Step-by-step explanation:
-5x-10 <20
Group like terms
-5x < 20 + 10
-5x < 30
Divide both sides by -5
For five days, Diego recorded the lengths, in minutes, of his walk to school. The mean for his data is 11 minutes. Determine which data set below is Diego’s, and prove that your choice is correct.
Answers
Data Set A: 9, 11, 13, 10, 12
Data Set B: 8, 10, 12, 14, 16
Data Set C: 10, 10, 10, 10, 10
Data Set D: 11, 11, 11, 11, 11
To find the mean, we sum up all the values in each data set and divide by the number of values:
Data Set A: (9 + 11 + 13 + 10 + 12) / 5 = 11 minutes
Data Set B: (8 + 10 + 12 + 14 + 16) / 5 = 12 minutes
Data Set C: (10 + 10 + 10 + 10 + 10) / 5 = 10 minutes
Data Set D: (11 + 11 + 11 + 11 + 11) / 5 = 11 minutes
Comparing the mean of each data set to 11 minutes, we can see that only Data Set A and Data Set D have a mean of 11 minutes. However, to prove that our choice is correct, we need to analyze the individual values in the data set.
In Data Set A, we can observe that the values are relatively close to 11 minutes, with some values slightly above and below. This variation suggests a realistic scenario where Diego's walk to school might take slightly different amounts of time each day.
In Data Set D, all the values are exactly 11 minutes. While it is not impossible for Diego's walk to consistently take exactly 11 minutes each day, it seems less likely than having some variation in the durations.
Based on these observations, we can conclude that the most plausible data set for Diego is:
Data Set A: 9, 11, 13, 10, 12
This data set has a mean of 11 minutes and exhibits a realistic variation in walk durations, making it the most likely choice for Diego's recorded lengths.
Banana Cupcakes
makes 10 cupcakes
1 cup granulated sugar
cup vegetable oil
1 large egg
4 tablespoons sour cream
2 medium-sized ripe bananas, mashed
1 cups all-purpose flour
1 teaspoon baking soda
teaspoon salt
1 teaspoon vanilla extract
pinch of nutmeg
You will use the recipe above to answer the following questions:
This recipe serves 10, but you need to serve 30. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How much vegetable oil do you need for 30 cupcakes?
How much flour do you need for 30 cupcakes?
What is the difference in the amount of vanilla extract you would need for 30 cupcakes?
What is the difference in the amount of salt you would need for 30 cupcakes?
In the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. Which ingredient would it make more sense to round rather than coming up with the exact amount? Why?
Answers
Answer: Hey give me 1 hour and ill answer it I'm doing odessyware rn so Ill get back to you later appreciate yo patients.
Step-by-step explanation:
Then, if we want to make 30 servings, we need to use that recipe 3 times. (because x*10 = 30, then x = 30/10 = 3)
This would be equivalent to multiply each ingredient by 3.
for 30 cupcakes we need:
3 cups of vegetable oil.
3 cups of all-purpose flour
(because for each one of these ingredients we needed only 1 cup to make 10 cupcakes).
for 10 cupcakes we need 1 teaspoon of vanilla.
for 30 cupcakes we need 3 teaspoons of vanilla, the difference is 3 - 1 = 2.
So the difference is 2 teaspoons.
About which quantities we should round are those where we may have mixed numbers or big numbers.
For example, we have 4 tablespoons of sour cream for 10 servings, then for 30 servings we should have:
3*4 = 12 tablespoons.
We could round this down to 10 tablespoons.
Hope this helped
I almost broke my brain doing this so can you give me brainliest answer please thank you
Giles made baklava to serve at a party. He cut it into parallelogram-shaped pieces with the dimensions shown below Whoever gets it correct will get to be brainliest. A. 2,035 square millimeters B. 1,017.5 square millimeters C. 368 square millimeters D. 184 square millimeters
Answers
Answer:
B is the answer, You should choose..
Step-by-step explanation:
The area of parallelogram cut by Giles is 2,035 square millimeters
What is area of parallelogram?The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram. The sum of the interior angles in a quadrilateral is 360 degrees. A parallelogram has two pairs of parallel sides with equal measures.
Area of parallelogram = Length * HeightAccording to the question
Parallelogram-shaped pieces with the dimensions are
Height of parallelogram = 37 mm
Length or Base of parallelogram = 40 + 15
= 55 mm
Therefore,
Area of parallelogram = Length * Height= 55 * 37
= 2,035 square mm
Hence, The area of parallelogram is 2,035 square mm .
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At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
There are three bags each containing 4 balls. Bag 1: three red balls, one blue ball. Bag 2: four red balls. Bag 3: two red balls, two blue balls.
What is the probability that the selected ball is from *bag 1* and is a *red ball*?
Answers
Answer: the bag 33.33 ect and the selecting of a red ball is 90%
Step-by-step explanation:
if a bag had three red balls, one blue ball and there are four ball intotal you would most likely get a red ball out of blue the other 10% is the blue ball and for the bags answer is just 100 divided by 3
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
6x-2y=-2
7x-7y=14
I’ve been using the elimination method but I keep getting the wrong answer. The answer I’m getting is (-3/2,-7/2). I’m just trying to not get fractions as an answer. Thanks for helping out if you can! (I still need to use elimination method without getting a fraction in the ordered pair)
Answers
Answer:
7x-7y=14
x=3 and y= 1
i think :)
Step-by-step explanation:
Please use the box and circle method:
4g+8=68
Answers
Answer:
4(15)+8=68
Step-by-step explanation:
4(15) is 60 plus 8 is 68
4g+8=68
-8 -8
4g=60
4/4 and 60/4
60/4= 15
Consider the standard form of an exponential function:
\(y=a(b)^x\)
How does changing the base number (inside the parentheses) change your graph?
Answers
Answer:
Step-by-step explanation:
Challenge 1
We have exponential decline if 0 b 1. As you move from left to right, the curve will get less steep.
If b is greater than 1, exponential growth is present, and the curve slopes upward from left to right.
Examples include exponential decline (y = 2(0.5)x) and exponential growth (y = 2(1.2)x).
Remember that b cannot be negative.
===========================================
Challenge 2
In the general template provided, enter x = 0.
y = a(b)^x
y = a(b)^0
y = a(1) (1)
y = a
When x = 0 is plugged in, the result is y = a.
The curve is therefore on the point (0,a). The y intercept appears here. It is the point when the curve veers off the y axis. The y intercept is altered if the value of "a" is altered.
Examples:
A student was given the following diagram and asked to prove that AX = XC. What would be the reason for the third step in the proof? - Please help!
Answers
Answer:
B. SAS triangle congruence
Step-by-step explanation:
Statement 1 said that a side and an angle were congruent in both triangles.
Statment 2 said that they share a line, thus making them equal.
So, a Side Angle Side(SAS)
a pizza has a diameter of 10 inches what is the exact area of this pizza
Answers
Answer:
Diameter (in) Area (sq in) Diameter (cm)
10 79 25.4
Step-by-step explanation:
Diameter (in) Area (sq in) Diameter (cm)
10 79 25.4
The net below represents a three-dimensional figure. The rectangles in the net are identical. The triangles are also identical.
What is the surface area, in square inches (sq. in.), of the net?
A: 270
B: 282.75
C: 295.5
D: 321
Answers
The required surface area of the figure is given as 295.5 in².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
According to the question,
Surface area of the figure = 2 [area of the triangle] + 3 [area of the rectangle] - - - - (1)
Since,
Area of the triangle = 1/2 × base × height
Area of the triangle = 1/2 × 6 × 4.25
Area of the triangle = 12.75
Now,
Area of the rectangle = length × width
Area of the rectangle = 15 × 6
Area of the rectangle = 90
Now, substitute the value in equation 1,
Surface area of the figure = 2 [12.75] + 3 [90]
The surface area of the figure = 295.5 in²
Thus, the required surface area of the figure is given as 295.5 in².
Learn more about the surface area here: https://brainly.com/question/2835293
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Please explain as well!
Answers
Answer:
For the first one it's 8.25 and the second one is 7.625. I found this by dividing the cost to the sandwich to find the unit rate. (Does that help?)
Answer:
I do know the first one is 8.25 but I'm not sure the second one.
(Also, if anyone see this answer, can any of you guys go answer a question I have?) Thx!
Side lengths of 6cm and 9cm, 70° angle
pls picture
Answers
Answer:
See below (Picture #5)
Step-by-step explanation:
1. Draw a 6cm line
2. Draw the 9cm line by connecting the endpoints. When you draw the line, ensure the angle of both line segments is equal to 70 degrees.
3. Connect the 6cm and 9cm lines together(the length of the line doesn't matter)
4. Done
The lengths of the three sides of the triangle would be 6cm, 9cm and 12.4 cm respectively
The law of cosines can be stated as -
c = √(a² + b² + 2ab cos α)
Where {c} is the length of the third side of the triangle.
It is given that for a triangle, the side lengths are 6 cm, 9 cm and 70° is the angle between them. Using the law of cosines, we can write -
c = √(a² + b² + 2ab cos α)
c = √(6² + 9² + 2 x 54 x cos 70°)
c = √(36 + 81 + 108 x 0.34)
c = 12.4
Therefore, the lengths of the three sides of the triangle would be 6cm, 9cm and 12.4 cm respectively.
To solve more questions on law of cosines, visit the link below-
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7th grade math I'll give brainliest
Answers
Answer:
Step-by-step explanation:
Rise over run is the slope, m
m=2/5
a) the slope is 2/5 = .4 which is below the boundary guideline. So no this is not with in carpenter's guidelines
b) the image below show a line with slope 2/5 but with intercept 3
c) the stairs can be draw on the line with rise 2 run 5 from the line. see image
d)equation is in image
2.
a) count the squares
horizontal distance =3
vertical distance =3
b) slope is vertical distance over horizontal distance so m= 3/3 =1
There are 7 apples on a plate. When these apples are distributed to 7 children, one for each, an apple snows on the plate. How can this be?
Answers
pls answer ASAP i need help
Answers
(x + 1)^2
A local animal rescue has 20 people that help foster pets while they are
waiting on finding their homes. They expect to gain two additional people
willing to foster animals each month. The amount of animals in need of
homes in the community is currently 10 and growing at a rate of 15% per
month. When will the amount of homeless pets surpass the amount of foster
homes available?
A) Write the two functions that represent this situation.
B) Create a table of values for x=0 to x=13.
C) Approximate the solution(s). Why is this the approximate solution?
D) Using graph paper (and the table of values), sketch the situation to
show the exact solution.
Answers
Answer:
A) Let f(x) represent the number of foster homes available after x months, and let g(x) represent the number of homeless pets after x months.
f(x) = 20 + 2x (since 2 additional people are expected to foster each month)
g(x) = 10(1.15)^x (since the number of homeless pets is growing at a rate of 15% per month)
A square of 81cm² is cut to make two rectangles, A and B
The ratio of area A to are B is 2:3
Work out the dimensions of A and B
Answers
Answer:
Length of A: 9
Width of A: 6
Length of B: 9
Width of B: 3
Step-by-step explanation:
If you look at the diagram, you can see that the length of rectangles A and B are the same, and are also the same as they were in the original square. We can find the length of each side by finding the square root of the area of the square to give us the length and width of the square which is 9. Now that we know that the length of both rectangles A and B, we can find the width of both rectangles by taking 9, and splitting it into 3 portions of 3. Since the ratio of area is 2:1, we could also do this with the area, but since we know the lengths are the same, we know the widths are proportional to the area. Using the ratio of 2:1, and the 3 portions of 3, you can combine 2 of these portions to get 6, and since the ratio 6:3 is proportional to 2:1, these measurements can be used as the width of each rectangle. Thus, the answer given above.
Answer:
Length of A: 9
Width of A: 6
Length of B: 9
Width of B: 3
Step-by-step explanation:
Evaluate the product: (a-10)*(a-9).....(a-1)*a
\((a-10)*(a-9).....(a-1)*a\),
where a=2
Please help soon. Thank you!
Answers
Answer:
10x9-5(8)=34
Step-by-step explanation: