Answer:
(2,-1)
Step-by-step explanation:
Rewrite in vertex form
y = -1/4(x-2)^2-1
You have a 5 inch by 7 inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 inches squared. What is the width of the frame?
The width of the frame is 2.4 inches
How to determine the width of the frame?
Let w represent the width of the frame
Then the area of the frame is:
(w + 5)(w + 7) = 69.56
Rewrite it in Standard form of a quadratic equation:
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
Use Quadratic Formula to solve for w:
w = (-b±√(b²-4ac))/(2a)
w = (-12±√(12²-4×1×(- 34.56)))/(2×1)
w = (-12±√(144+138.24))/(2)
w = (-12±16.8)/2
w = -6 ± 8.4
w = -6 + 8.4 or -6-8.4
w = 2.4 or w = -14.4
Since the width cannot be negative.
Thus, w = 2.4 inches
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One angle of a right triangle measures 65°. What is the measure of the other acute angle?
answer:
25°
explanation:
triangle total: 180°
right angle: 90°
90 + 65 = 155
180 - 155 = 25
hope this helped!
pls solve me this functions question
On solving the provided question, we can say that - the value of the function is f(x) = [tex]x^2 + 9 + 3x -5[/tex] = [tex]x^2 +3x +4[/tex]; f(x) = x= it doesn't factor
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
f(x) = [tex](x+3)^2 - 5[/tex]
f(x) = [tex]x^2 + 9 + 3x -5[/tex] = [tex]x^2 +3x +4[/tex]
f(x) = x= it doesn't factor
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I need to know the steps to solve this.
The Constraints of the inequality are
x ≤ 2y + 500
22500 < √ 35x + 50y
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The Company A (x) at most 500 more than twice then unit by B(y).
So, x ≤ 2y + 500
Now, the square of Company Profit will be equal to 35x + 50y
Then, the constraints will be
1. x ≤ 2y + 500
2. Company Profit² < 35x + 50y
Company Profit < √ 35x + 50y
22500 < √ 35x + 50y
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what is the common difference for this arithmetic sequence? -6, -2, 2, 6, 10, …
Answer:
The common difference is 4.
Step-by-step explanation:
Image Attached, Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. Will give Brainliest
Answer:
169
Step-by-step explanation:
You should know that the middle number with the x is double the original number not in expanded form. You should also know that in the expanded form, the last number is the square of the original number. So square(26/2) = 169.
Answer:
r^2 + 26r = (r + 13)^2 - 169
Step-by-step explanation:
r^2 + 26r + (26/2)^2 - (26/2)^2, or
r^2 + 26r + 13^2 - 13^2, or
(r^2 + 26r + 169) - 169
So r^2 + 26r = (r + 13)^2 - 169
Note: the coefficient of r is 26. We take half of that, obtaining 13, and then square the result: 13.
Find the number of choices that are possible if you choose one of 3 kinds of fruit and one of 3 kinds of vegetables.
9 choices
7 choices
13 choices
6 choices
Answer:
I think that the answer is 9 choices.
Step-by-step explanation:
I am not sure but I hope that this helps you. Please mark me brainliest if I am right. Please forgive me if I am wrong! ):
A coach throws a football from a height of 4 feet with an initial velocity of 59 feet per second at an elevation angle of 45°. Which parametric equations represent the path of the football?
A. x(t) = 59sin(45°)t and y(t) = –16t^2 + 59cos(45°)t
B. x(t) = 59cos(45°)t and y(t) = –16t^2 + 59sin(45°)t
C. x(t) = 59cos(45°)t and y(t) = –16t^2 + 59sin(45°)t + 4
D. x(t) = 59sin(45°)t and y(t) = –16t^2 + 59sin(45°)t + 4
Answer is C. Add an answer so it won't be archived!
Answer:
C
Step-by-step explanation:
The least common multiple of $1! 2!$, $2! 3!$, $3! 4!$, $4! 5!$, $5! 6!$, $6! 7!$, $7! 8!$, and $8! 9!$ can be expressed in the form $a\cdot b!$, where $a$ and $b$ are integers and $b$ is as large as possible. What is $a b$
By solving the given factorial question we get a+b=2538.
How does factorial work?In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a specific positive integer, which is followed by an exclamation point. Thus, factorial seven is denoted by the symbol 7!, which stands for 1 2 3 4 5 6 7. Factorial 0 is equal to 1 by definition.
Solution:-
We can factor each of these numbers.1! + 2! = 1! ( 1 + 2 )
2! + 3! = 2! ( 1+ 3 )
3! + 4! = 3! ( 1 + 4 )
4! + 5! = 4! ( 1 + 5 )
5! + 6! = 5! ( 1 + 6 )
6! + 7! = 6! ( 1 + 7 )
7! + 8! = 7! ( 1 + 8 )
8! + 9! = 8! ( 1 + 9 )
Once again:
1! + 2! = 1! ( 3 )
2! + 3! = 2! ( 4 )
3! + 4! = 3! ( 5 )
4! + 5! = 4! ( 6 )
5! + 6! = 5! ( 7 )
6! + 7! = 6! ( 8 )
7! + 8! = 7! ( 9 )
8! + 9! = 8! ( 10 )
We can split the number into two parts, a! * bThe LCM of 1!, 2!, 3!, ... , 8! is 8!
The LCM of 3, 4, 5, ... , 10 is 2520
The LCM is 2520 * 8!
a = 2520
b = 8
a + b = 2528
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Base your answers to the following questions on the food web below and on your knowledge of biology. Which organisms are carnivores? A. grass and trees B. mouse, rabbit, and cricket C. deer and mountain lion D. frog, snake, and hawk
Answer:
D
Step-by-step explanation:
10. The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds
The stated statement states that 139 of said animals Margie counted had two legs, mostly two-legged birds.
Why do you use the word "number"?An arithmetic value used to compute and portray a quantity would be a number. In writing, numerical symbols like "3" are used to represent numbers. A decoder is a logical approach the portray a number using digits or symbols.
Assume that there are x two-legged birds and y four-legged animals. Now, we can employ equation systems to find a solution to this issue.
Enter two equations here:
2x + 4y = 522
x + y = 200
Add two to the latter equation now.
2x + 4y = 522
2x + 2y = 400
We discover that; by deducting the following equations from the first equation.
2y = 122
y = 61
There were 139 two-legged birds due to the 200 heads, which indicated a total of 200 animals.
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The complete question is-
The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds?
A). 61
B). 122
C). 139
D). 150
E). 161
What is the lower quartile , median, and upper quartile of ...
3 6 3 8 5 2
First, order up the numbers into order:
2, 3, 3, 5, 6, 8
Next, cut off the ones on each side to get the median.
2, 3, 3, 5, 6, 8
2, 3, 3, 5, 6, 8
Now with this, add the two middle numbers and divide by 2 to find the avg. of them:
3+5 = 8
8/2 = 4 is the Median
Next, split up the number list into the lower section and the higher section, now knowing the Median:
2, 3, 3 Lower
5, 6, 8 Higher
Then, find the Median of each of these sections.
2, 3, 3 Lower Quartile is 3
5, 6, 8 Higher Quartile is 6
Hope that helps.
heyy! i’ll give brainliest please help
Answer:
Its an institution
Step-by-step explanation:
A college is not a region, state or country. It is an institution.
Steve ran a 12-mile race at an average speed of 8miles per hour. If Adam ran the same race at an average speed of 6 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?
A runner ran a 400 m race in 1 min 35 sec. Calculate his average speed in m/sec.
1 minute = 60 seconds
1 minute 35 seconds = 60 + 25 = 95 seconds
Speed = 400 meters / 95 seconds
Speed = 4.21 meters / second
Express each number as a product of two numbers 1/5
The fraction expression as a product expression is 1/2 * 2/5
How to express the mathematical expression as a product expressionFrom the question, we have the following parameters that can be used in our computation:
A mathematical expression
The mathematical expression is given as
1/5
In this case, the expression is a fraction
Using the above as a guide, we have the following:
Fraction = 1/5
Multiply the fraction by 1
So, we have the following representation
Fraction = 1/5 * 1
Express 1 as 2/2
This gives
Fraction = 1/5 * 2/2
Swap the factors of the expression
This gives
Fraction = 1/2 * 2/5
Hence, the product expression is 1/2 * 2/5
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What is the area of the parallelogram?
Enter your answer in the box.
___mm²
Answer: 486 mm^2
Step-by-step explanation:
Area of parallelogram = base x height
area = 27 x 18 = 486 mm^2
Answer:
it is 486mm
Step-by-step explanation:
i just took the test and this is right. i hope this helps :)
hey! please help i’ll give brainliest
Answer:
all of these option 4 is correct
Answer:
The answer is the ( are )
Step-by-step explanation:
16) Four students simplified the expression given below :(6 + 5 × 4 ) ÷ 2 , Anshu's solutions is 25 , Ram's solution is 46, Kishan's solution is 13, David's solution is 16. Who simplified the expression correctly? *
Answer:
69
Step-by-step explanation:
2000 plus 300 plus 65
Answer:
2000+ 300 + 65 = 2,365
Step-by-step explanation:
Answer:
2000 + 300 + 65 = 2365
2 diagonals of a regular nonagon (a 9-sided polygon) are chosen. What is the probability that their intersection lies inside the nonagon
The probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
What is the probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.
In this problem, the event of interest is the intersection of the two diagonals lying inside the nonagon. A nonagon is a 9-sided polygon, so there are 9 total corners, each of which can be one end of a diagonal. Therefore, there are 9 choose 2 = 36 total ways to choose two diagonals.
To find the number of favorable outcomes, we need to find the number of ways to choose two diagonals such that their intersection is inside the nonagon. To do this, we can notice that the diagonals that have an intersection inside the nonagon are the diagonals that connect non-adjacent corners of the nonagon. There are 8 non-adjacent corners, so there are 8 choose 2 = 28 ways to choose two non-adjacent corners.
So the probability of the intersection of the two diagonals lying inside the nonagon is:
P(intersection inside nonagon) = favorable outcomes / total outcomes = 28/36 = 2/3
Hence, the probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
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The probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
What is the probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.
In this problem, the event of interest is the intersection of the two diagonals lying inside the nonagon. A nonagon is a 9-sided polygon, so there are 9 total corners, each of which can be one end of a diagonal. Therefore, there are 9 choose 2 = 36 total ways to choose two diagonals.
To find the number of favorable outcomes, we need to find the number of ways to choose two diagonals such that their intersection is inside the nonagon. To do this, we can notice that the diagonals that have an intersection inside the nonagon are the diagonals that connect non-adjacent corners of the nonagon. There are 8 non-adjacent corners, so there are 8 choose 2 = 28 ways to choose two non-adjacent corners.
So the probability of the intersection of the two diagonals lying inside the nonagon is:
P(intersection inside nonagon) = favorable outcomes / total outcomes = 28/36 = 2/3
Hence, the probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
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help! determine the equation of the circle graphed below:
The equation of a circle is (x+3)² + (y+5)² = 4² with a center at (-3,-5).
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
The center is approximated to lie at the position (-3,-5) in the graph below with the axes of symmetry. The points of intersection of the circle with any of the two axes (broken lines) provide a diameter of around 8 units, and so the radius is half the diameter, which is 4 units.
The equation of the circle whose graph is given below is:
(x+3)² + (y+5)² = 4²
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Isabel is shopping for her new car. She identified six models she likes at a local dealership. The table lists
the down payment she would need to make on each car to keep the monthly payment within her budget.
Assume that she's using only the money accumulated in her savings account to make the down payment.
Use this information and the appropriate time value of money formula e to select all the cars that are
within Isabel's budget.
5
choice 1
choice 2
choice 3
down payment: $8,500 down payment: $6,200 down payment: $5,100
choice 4
choice 5
choice 6
down payment: $7,250 down payment: $7. 750 down payment: $7,500
The value of Isabel's account after three years can be calculated using the future value of the annuity formula.
Isabelle's budget car is:
Choice 2Choice 3Choice 4Reason:
Monthly savings, PMT = $200
Account compound interest, r = 1.7%
t = Account value after 3 years is displayed as increase.
We know that:
[tex]FV =PMT * \frac{[(1+i)^n -1]}{i}[/tex] --------------------- (1)
Where;
i = r/12
⇒ n = 12 × t
From the above equation(1), we get:
[tex]FV =200 * \frac{[(1+\frac{1.7}{2} )^{12*3} -1]}{\frac{1.7}{12} }[/tex]
≈ 7381.4
Therefore,
The budget cars she can buy, those that require a down payment of less than $7,381.4, which are:
The required down payment of choice 02 is $6200.
The required down payment of choice 03 is $5100.
The required down payment of choice 04 is $7250.
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i need the ratio i got the numbers
Is this table linear, exponential, or other type of a function?
someone please help asap. i will give you brainliest
Answer:
It is exponential
Step-by-step explanation:
b. My brother grew 1 3/4 inches in 2 1/2 months. If he continues to grow at the same rate,
how much should he grow in one year?
Answer:
8.4 inches
Step-by-step explanation:
You divide 1 3/4 by 2 1/2 then multiply by 12
Why should u subtract 9 from both sides of the equation:
K+9=-43
Subtracting from both sides leaves you with . Since subtraction can be written as addition (adding the opposite), the addition property of equality. If two expressions are equal to each other and you add the same value to both sides of the equation, the equation will remain equal.
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. ... Performing the same operation on both sides of an equation does not change the validity of the equation, or the value of the variable that satisfies it.
I need help I dont quite understand how to do it and if I did it correctly. Will give huge credit to whoever can give me a full explanation.
There's a theorem for this scenario that says the average of the measures of arcs AC and BD is equal to the measure of the angle formed by the chords AB and CD. In particular,
90° = 1/2 (arc AC + arc BD)
90° = 1/2 (arc AC + 126°)
90° = 1/2 arc AC + 63°
1/2 arc AC = 27
arc AC = 54°
Los costes de fabricación de los helados, C(x) en euros, dependen de la cantidad elaborada(x en kilos) de acuerdo con la siguiente expresión:K(x)=(20+4x)/2 Se preveé que el precio al que estará a la venta (€/kilos) se puede determinar a través de:P(x)=(16000-6x^2)/800 Una vez determinado cual es la producción que obtendrá la máxima ganancia ¿Cuál sería la ganancia que se obtiene por la venta de esa cantidad de helados?
Answer:
comost eawewqeq
Step-by-step explanation:
wqqweqe
Complete the following table using the equation: y = x squared x -3 -1 0 1 3 y Plot the points on a graph and determine which graph best represents the equation. Graph A On a coordinate plane, a parabola opens up and goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Graph B On a coordinate plane, a parabola opens down and goes through (negative 2, negative 4), has a vertex at (0, 0), and goes through (2, negative 4). a. -9, -1, 0, -1, -9; Graph B b. 9, 1, 0, 1, 9; Graph B c. 9, 1, 0, 1, 9; Graph A d. -9, -1, 0, -1, -9; Graph A Please select the best answer from the choices provided A B C D
Answer:
c. 9, 1, 0, 1, 9; Graph A
Step-by-step explanation:
The given equation is presented as follows;
y = x²
The values of 'x' are -3, -1, 0, 1, 3
The range of the values of 'y' are; (-3)² = 9, (-1)² = 1, 0² = 0, 1² = 1, 3² = 9
9, 1, 0, 1, 9
The completed table is presented as follows;
[tex]\begin{array}{cc}x&y\\-3&9\\-1&1\\0&0\\1&1\\3&9\end{array}[/tex]
The values can be extended using the equation to include points, x = -2, y = (-2)² = 4, and x = 2, y = 2² = 4
To give a graph that passes through the point (-2, 4) and (2, 4)
Given that the coefficient of x² is positive, the graph opens up
Therefore, the graph that best represent the equation is c, 9, 1, 0, 1, 9; Graph A On the coordinate plane, a parabola opens up and goes through (-2, 4), has a vertex at (0, 0), and goes through (2, 4).
Answer:
C
Step-by-step explanation:
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