Which quadratic function in vertex form has a vertex at (3, 4) and passes through the point (7,-4)
Answers
Answer:
First option
Step-by-step explanation:
Given the following question:
We are being asked to find the quadratic function that has a vertex of (3, 4) and passes through the point (7, -4). Remember that the vertex of any parabola is the point on the top of the parabola, directly in the middle of the top of the function.
First option:
[tex]y=-\frac{1}{2} (x-3)^2+4[/tex]
(see photo below)
As you can see the function has a vertex of (3, 4) which means the point on the top of the parabola is (3, 4) or the vertex. It also passes through the point (7, -4) meaning the first option is your answer.
Hope this helps.
Related Questions
8 19. Marcus claims that fractions with denominators 1 through 10 follow a pattern
when they are converted to decimal form. If any one fraction can be converted
to a terminating decimal, then all of the fractions with that same denominator
will also convert to terminating decimals. On the other hand, if one fraction
converts to a repeating decimal, then all fractions with that same denominator
will convert to a repeating decimal. Is Marcus correct? Explain.
Answers
Answer:
No
Step-by-step explanation:
Marcus is not correct because 1/12 converts to the repeating decimal 0.8333... but 3/12 converts to 0.25 which is not a repeating decimal.
why is the answer to this integral's denominator have 1+pi^2
Answers
It comes from integrating by parts twice. Let
[tex]I = \displaystyle \int e^n \sin(\pi n) \, dn[/tex]
Recall the IBP formula,
[tex]\displaystyle \int u \, dv = uv - \int v \, du[/tex]
Let
[tex]u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn[/tex]
[tex]dv = e^n \, dn \implies v = e^n[/tex]
Then
[tex]\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn[/tex]
Apply IBP once more, with
[tex]u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn[/tex]
[tex]dv = e^n \, dn \implies v = e^n[/tex]
Notice that the ∫ v du term contains the original integral, so that
[tex]\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)[/tex]
[tex]\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I[/tex]
[tex]\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n[/tex]
[tex]\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C[/tex]
Solve for x
5x= -9
Give your answer as an improper
fraction in its simplest form.
Answers
We proceed to solve the equation:
[tex]5x \: = \: 9[/tex]
We divide by 5 the two members that make up the equation.[tex]5x \: \div \: 5 \: = \: - 9 \: \div \: 5[/tex]
Since it is divided by itself, it is equal to 1.[tex]x \: = \: - 9 \: \div \: 5[/tex]
We transform it into an improper fraction:[tex]x \: = \: \boxed{ \bold{ - \frac{9}{5} }}[/tex]
MissSpanishQuestion 18
Let set A = { even numbers}
set B = {odd numbers}
Find A U B
Answers
Answer: all integers
Step-by-step explanation:
[tex]A \cup B[/tex] denotes the union of the two sets, and is thus the set of all integers.
8. Find the area of the shaded region.
Answers
Answer:
7
Step-by-step explanation:
did the math
Answer:
Answer:4π
Step-by-step explanation:
As we know,
Area of circle=πr^2
=π(2)^2
=4π=12.57m^2
9) A furniture store is having a spring sale-15% off of everything in the store.
What is the price of a table that regularly costs $159.98 if it is bought on sale?
Answers
Answer:
$135.98
Step-by-step explanation:
15% of $159.98 = 0.15 × $159.98 = $24.00
$159.98 - $24.00 = $135.98
Mr. Simmons figures he can paint his house in 5 days. If his son helps, together they can paint it in 2 days. How long will it take his son to paint the house if he works alone?
Answers
Answer:
3 hrs 20 min
Step-by-step explanation:
1/5 + 1/x = 1/2
x = 10/3
How many classrooms would be necessary to hold 1,000,000 inflated balloons? (Assume one balloon is about 1 ft3 and a typical classroom is about 35 ft × 50 ft × 15 ft. Round your answer to the nearest number of classrooms.)
Answers
One balloon = 1 cube ft. Using this value and multiplying it by 1,000,000, we can find how much space all of these would take up. Since 1 times anything is just the unchanged value,
• a million inflated balloons = 1000000 ft^3.
The classroom has dimensions 35, 50, and 15 ft. We can use these values to find the classroom’s volume. The equation for Volume of a rectangular prism: V = lwh, where l is length, w is width, and h is height. Substitute given dimensions into this equation:
• V = 35*50*15 = 26250 ft^3.
now, what times 26250 will equal 1000000? Well, let’s set up an equation and solve for x, the number of classrooms.
• 26,250x = 1,000,000. Divide both sides by 26250 to get x alone:
• x = 38.0952.
Approximately 38 classrooms are necessary to hold 1,000,000 inflated balloons.
Check: when x is 38: 26,250(38) = 997,500 ft^3. When x is 39: 26,250(38) = 1,023,750 ft^3. x = 38 is more accurate.
**(I will note, however, that I’m not sure if you’re instructed to round according to the decimal rules or round UP a whole number because that extra .0952 needs to be included).
To hold 1,000,000 inflated balloons,
38 classrooms are needed.
What is volume?In three-dimensional space,
the amount of space taken by an object is the volume of that object.
The volume of the cubic,
= length x width x height
Given:
The dimensions of the normal classroom are 15 ft × 50 ft × 35 ft.
The volume of the classroom,
= 15 ft by 50 ft by 35 ft.
= 26250 cubic feet.
The number of classrooms,
= 1,000,000 / 26250
Simplifying the fraction,
we get,
= 38.09
≈ 38 to the nearest whole number.
Therefore, 38 classrooms are required.
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suppose 2/5 of the marbles in a bag are red. how many marbles would you expect to pick before picking 10 reds
Answers
Find the value of x.
x
x = [?]
Answers
Answer:
Step-by-step explanation:
x + x + x = xxx
=> 3x = x³
=> x³ - 3x = 0
=> x(x² - 3) = 0
=> x(x² - (√3)²) = 0
using a² - b² = (a + b)(a - b)
= x(x + √3)(x - √3) = 0
=> x = 0 , -√3 , √3
x = 0 , ±√3
Given f of x is equal to the quantity x plus 6 end quantity divided by the quantity x squared minus 9x plus 18 end quantity, which of the following is true
Answers
The correct answer is option D which is f(x) is decreasing for all the values of x < 3.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The value of the function [tex]f(x) = \dfrac{x+6}{x^2-9x+18}[/tex] is represented on the graph in the graph we can see that at x>6 the value of the function is decreasing and at x<3 the value of the function is increasing.
Therefore the correct answer is option D which is f(x) is decreasing for all the values of x < 3.
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Drag each tile to the correct box. a с C b A David proved the Law of Cosines with reference to AABC using a different method. Arrange the steps of his proof in the correct sequence. k² = c² - (b − x)² In AABD, (Pythagorean Theorem) In ABCD, k² = a² - 1² (Pythagorean Theorem) c² (6²-26x + x²) = a² — 1² (on simplification) Similarly, prove that a2b² + c² - 2bccos A and 82 6² = a² + c²2accos B B
Answers
Big question:
where is the question here
Solve the following linear equation:
3(2x + 12) = 2(2x - 10)
Answers
Step-by-Step Explanation:
3(2x + 12) = 2(2x - 10)
3 * 2x + 3 * 12 = 2 * 2x - 2 * 10
6x + 36 = 2 * 2x - 2 * 10
6x + 36 = 4x - 20
6x - 4x + 36 = -20
2x + 36 = -20
2x = -20 - 36
2x = -56
x = -56/2
=> x = -28
Therefore, x = -28
Step 1: Distribute
Step 2: Move the x to one side by simplifying
Step 3: Take a way 36 from both sides
Step 4: Divide and simplify
calculate the sum of the following series 17+51+153+…334611
Answers
Answer:
Ans=...334832 can be your questions answer
A bank pays interest rate of 15% per annum on the savings in a customers account. calculate the total amount in a customers saving account at the end of the year
Answers
Answer:
Matty is the most precious ma ma ta the best I don't think so I can see good
BRAINLIEST AND 50 POINTS IF U ANSWER ALL PLSSS SOLVING REQUIRED PLSSS
Answers
#1
LSA
4(1/2BH)4(1/2×9×12)2(9)(12)216cm²TSA
LSA+9²216+81297cm²#2
LSA
3(1/2(13)(15))1.5(195)292.5cm²TSA
292.5+1/2(195)1.5(195)+0.5(195)2(195)390cm²#3
LSA
4(1/2(6)(16))2(96)192cm²TSA
LSA+6²36+192228cm²#4
LSA
2(1/2(8)(6))+2(1/2(6)(6.5))8(6)+6(6.5)48+3987cm²TSA
87+8(6)87+48135cm²#5
We know
TSA=LSA+Area of baseSo
LSA=TSA-Area of baseShe can use this formula
What is the slope of the line that cuts through the points (1, 2) and (5, 4)? a. 2 c. One-half b. -2 d. Negative one-half Please select the best answer from the choices provided A B C D
Answers
The slope of the line is 1/2 or one-half if the line that cuts through the points (1, 2) and (5, 4) option (c) One-half is correct.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a line that cuts through the points (1, 2) and (5, 4).
The slope of a line:
[tex]\rm m =\dfrac{4-2}{5-1}[/tex]
m = 2/4
m = 1/2
Thus, the slope of the line is 1/2 or one-half if the line that cuts through the points (1, 2) and (5, 4).
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The speed of an object in space is shown in the graph.
A graph titled Speed of Object has Time in Minutes on the x-axis and Distance in Miles on the y-axis. A line goes through points (0.2, 3) and (0.4, 6).
What is the slope of the line?
A) 10
B) 15
C) 20
D) 25
Answers
The slope of the linear equation is 15, so the correct option is B.
How to get the slope of the line?
A linear equation can be written as:
y = a*x + b
Where a is the slope and b is the intercept.
For a line that passes through the points (x₁, y₁) and (x₂, y₂), the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we have the two points (0.2, 3) and (0.4, 6), so the slope is:
[tex]a = \frac{6 - 3}{0.4 - 0.2} = 15[/tex]
So the slope of the line is 15, which means that the correct option is B.
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Divide x cubed minus 3 x squared minus 10 x + 24 by x minus 2. Step 1 - Fill in the missing number: A vertical line and horizontal line combine to make a L shape. There is one row of entries in the shape including 1, negative 3, negative 10, 24. On the outside to the left of the L shape is k. k = Step 2 - Fill in the missing number: A vertical line and horizontal line combine to make a L shape. There is one row of entries in the shape including 1, negative 3, negative 10, 24. On the outside to the left of the L shape is 2 and to the outside below 1 is a. a = ⇒ 1 Step 3 - Fill in the missing numbers: A vertical line and horizontal line combine to make a L shape. There are two rows of entries in the shape. The first row includes 1, negative 3, negative 10, 24. The second row includes blank, b, d, blank. On the outside to the left of the L shape beside row 1 is 2. On the outside below the L shape in the first column is 1 and in the second column is c. b = c = d =
Answers
The dividend that's represented by the synthetic division is 2x³ + 10x² + x + 5.
How to depict the dividend?From the information, given that the vertical line and a horizontal lines combined to form the L shape.
Row 1 has entries 2, 10, 1, 5.
Row 2 has entries -10, 0, -5.
In this situation, entry -5 is outside to the let of the shape.
Here, the dividend that's represented by the synthetic division is 2x³ + 10x² + x + 5.
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Answer:
step 1: 2 Step 2: 1
Step-by-step explanation:
Step 3: 2, -1, -2
Complete the division. The remainder is 0. The quotient is x^2 - x - 12.
A square is inscribed in a quarter of a circle,calculate the quarter circle.
Answers
Answer:
Step-by-step explanation:
Of the equations listed below, which represent functions that are linear?
1.y = 3x
II. y = 3x²
III. y
A. Equations I and III
B. Equation I only
C. Equations II and III
D. Equation II only
Answers
Answer:
c i think
Step-by-step explanation:
c because jesus told it was c
Question 2 A birthday cake in the shape of the right-circular cylinder of radius 15cm and thickness 10cm is cut into smaller pieces. One of the piece is shown. 15 cm 30° 10 cm a) What is the volume of this piece to the nearestcm³? (2 marks)
Answers
The volume of a piece of the cake will be 588.75 cm³.
The complete question is attached below.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A birthday cake in the shape of the right-circular cylinder of radius 15 cm and thickness 10 cm is cut into smaller pieces.
One of the piece is shown.
Then the volume of piece of the cake will be
V = (30 / 360) x π x 15² × 10
V = 588.75 cm³
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Which of the following discribe an angle with a vertex at y
Answers
Answer:
The angle is referred to as a ∠ZYX angle, or ∠XYZ angle, because of the overall positioning. Think of it this way, you have a triangle with 3 angles. You have point X the high point, point Y the farthest point out, and point Z which makes the triangle complete. Connect these, and your angle becomes ZYX / XYZ.
Hope this helps!
Solve for x: -8 < 3x + 1 ≤ 13
Answers
Answer: If you’re doing algebra, -3<x or x<_4.
Another answer is -3<x<_4
Answer:
-3 < x <_4
Step-by-step explanation:
-8 < 3x+1 <_13
First solve for the left side: -8 < 3x + 1
Subtract 1 from each side
-9 < 3x
Divide each side by 3
-3 < x
Solve for the right side: 3x+1 <_13
Subtract 1 from each side
3x <_ 12
Divide each side by 3
x<_4
Put it together for your answer
-3 < x <_4
Erica earned a total of $67,250 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than three times the amount she earned from her job at the college. How much did she earn (in dollars) from her job at the college?
Answers
Step-by-step explanation:
x = earnings from the store
y = earnings from the college
x + y = 67,250
x = 3y + 1,250
now we use the identity of the second equation in the first equation :
(3y + 1,250) + y = 67,250
4y = 66,000
y = $16,500
x = 3y + 1,250 = 3×16,500 + 1,250 = 49,500 + 1,250 =
= $50,750
The length of a rectangle is 6 inches longer than it is wide. If the area is 160 square inches, what are the dimensions of the rectangle?
Answers
Answer:
L = 16
w = 10
Step-by-step explanation:
Givens
Area = 160 sqr inches
width = x
length = x + 6
Equation
Area = L * w
Solution
Substitute in the equation all of the givens.
160 = x(x + 6) Remove the brackets
160 = x^2 + 6x Subtract 160 from both sides.
160-160 = x^2 + 6x - 160
0 = x^2 + 6x - 160
This equation factors. Turn it around first
x^2 + 6x - 160 = 0
(x - 10)(x + 16) = 0
Answer
x (width) = 10
x + 16 = 16
Answer:
The length is 16 inches and the width is 10 inches.
Step-by-step explanation:
Houa bought 11 chicken wings for $23.10 . How much does each wing cost
Answers
Answer:
Answer = $2.10
Step-by-step explanation:
To solve this we take the total cost divided by the total number of chicken wings to get $2.10.
Hope that helps! :)
Answer:
1 wing = $2.10
Step-by-step explanation:
11 wings = $23.10
Let 1 wing = x
11x = 23.10
To solve for x, we divide both sides by 11 :
11x÷ 11 = 23.10 ÷11
x = 2.1
So 1 wing = $2.10
Hope this helped and brainliest please
Can someone pls help quickly?
Answers
From the question given above, the ratio of L : W in simplified form is given as: 6 : 5. See the explanation below.
What is a ratio?A ratio, simply, can be defined as the quantitative relationship that exists between two values which is indicative of the number of times one value can be obtained from the other.
What is the explanation for the solution above?Step 1 - Indicate your assumptionsLet X be the width of one of the rectangles and let its height be Y.
It is clear from the image that:
4X = 3Y
Hence
(4/3)X = Y
Therefore,
Lenght (L) = 3Y
= 3 (4/3)X
= 4X
Width (W) = Y + 2X
= (4/3)X + 2X
= (10/3)X
Therefore,
L : W = 4X: 10/3X
= 4:10/3
To remove the fraction, multiply both sides of the ratio by 3
= 12 : 10, furhter simplify by halving each value, and we have
= 6:5
Hence, the ratio L: W in simplified form is 6 : 5.
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A manufacturer of kitchen utensils and gadgets is considering changing the design of the salt and pepper shakers. Their current design is a standard cylinder, while the new design they are considering is an oblique cylinder. the figure shows both designs.
Which set of additional details are the minimum required to ensure the new design will have the same volume as the original design?
Answers
For the current cylinder to have the same volume as the oblique cylinder, the height of both design must be the same and the base area of both designs must be the same.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Volume of cylinder = area of base * height
For the current cylinder to have the same volume as the oblique cylinder, the height of both design must be the same and the base area of both designs must be the same.
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Answer:
C
Step-by-step explanation:
happened to do the test
Convert from a fraction to a decimal 1/4
Answers
Answer:
Convert from a fraction to a decimal 1/4. 0.25
Answer:
0.25 is the correct answer of the question