Answer:
Step-by-step explanation:
Let consecutive odd integers be (2x + 1) and (2x + 3)
Their reciprocals are [tex]\frac{1}{2x + 1 }[/tex] and [tex]\frac{1}{2x + 3 }[/tex]
[tex]\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\[/tex]
483*(4x+4) = 44*(4x² + 8x + 3)
483*4x + 483*4 = 44*4x² + 44*8x + 44*3
1932x + 1932 = 176x² + 352x + 132
176x² + 352x + 132 -1932x - 1932 = 0
Combine like terms
176x² + 352x - 1932x - 1932 + 132 = 0
176x² - 1580x - 1800 = 0
Divide the equation by 4
44x² - 395x - 450 = 0
Scott buys
1260 apples
280 bananas
Write down the ratio of the number of apples that Scott buys to the number of
bananas that he buys.
Give your ratio in its simplest form.
Answer:
1,260:280
or
1,260 to 280
or
1,260/280 Simplified → 4 1/2
Step-by-step explanation:
Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.
Help plz!!
No links.
Answer:
10
Step-by-step explanation:
Here is why.
The angle going down is 10 meters long.
Therefore it would be ten.
Any questions?
Answer:
10
Step-by-step explanation: i just did it in school a few days ago gg
Please help, I’ll give brainleist and 15 points
pretty sure its y=2^x aka B
your cousin ben is confused about his catholic faith because most of his friends are member of another.HOW WILL YOU BRING CHRIST LIGHT IN THE FOLLOWING SITUATION???
Given the function F(x) = x ^ 3 + 2x - 1 , find the value f(- 2)
Points (3, 2) and (7, 2) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of g opens upward. Which of these statements are true?
1. The graphs of f and g have the same axis of symmetry.
2. The graphs of f and g have the same x-intercepts.
3. The graph of f has a maximum point, and the graph of g has a minimum point.
4. The graph is a result of a reflection of the graph pf g across the x-axis.
Answer: I and III
Step-by-step explanation:
The graphs of f and g have the same axis of symmetry. The graph of f has a maximum point, and the graph of g has a minimum point. The graph is a result of a reflection of the graph pf g across the x-axis. The correct options are 1, 3, and 4.
What is quadratic function?A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.
We can use the fact that the points (3,2) and (7,2) are on the graphs of both functions to find out which of the given statements are true.
Let's start by using the fact that the graphs of the functions f and g pass through the points (3,2) and (7,2).
Since the y-coordinate is the same for both points, we can set the equations of the functions equal to 2 and solve for the unknown coefficients.
For the downward-opening quadratic function f, the equation is of the form:
[tex]f(x) = a(x - h)^2 + k[/tex]
Where (h,k) is the vertex of the parabola. Since f opens downward, the coefficient a is negative.
Using the point (3,2), we get:
[tex]2 = a(3 - h)^2 + k[/tex]
Using the point (7,2), we get:
[tex]2 = a(7 - h)^2 + k[/tex]
Subtracting the second equation from the first, we get:
[tex]0 = a[(3 - h)^2 - (7 - h)^2][/tex]
Simplifying this expression, we get:
0 = a[(3 - h + 7 - h)(3 - h - (7 - h))]
0 = a[-4(h - 5)]
Since a is non-zero (otherwise the parabola is not quadratic), we get:
h = 5
Plugging in h = 5 and using one of the equations above, we can solve for k:
[tex]2 = a(3 - 5)^2 + k[/tex]
2 = 4a + k
k = 2 - 4a
Therefore, the equation of the quadratic function f is:
[tex]f(x) = a(x - 5)^2 + (2 - 4a)[/tex]
Using the same method for the upward-opening quadratic function g, we get:
[tex]g(x) = b(x - 5)^2 + (2 + 4b)[/tex]
Where b is positive.
Now, let's check which of the given statements are true:
The graphs of f and g have the same axis of symmetry.
Since the vertex of f is (5, 2 - 4a) and the vertex of g is (5, 2 + 4b), the x-coordinate of the axis of symmetry for both functions is 5. Therefore, statement 1 is true.
The graphs of f and g have the same x-intercepts.
The x-intercepts of f are given by:
[tex]0 = a(x - 5)^2 + (2 - 4a)\\4a = a(x - 5)^2[/tex]
x - 5 = ±√(4/a)
x = 5 ± 2√(a)
The x-intercepts of g are given by:
[tex]0 = b(x - 5)^2 + (2 + 4b)[/tex]
-4b = [tex]b(x - 5)^2[/tex]
x - 5 = ±√(-4/b)
x = 5 ± 2i√(b)
Thus, since a and b have opposite signs, the x-intercepts of f and g are different. Therefore, statement 2 is false.
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Write the new equation if the graph of f (x) = –2x2 + 5 is translated down 10
units. (Include f(x) in your answer)
HELPPP
PLEASE NO LINKS JUST WRITE OUT THE ANSWER
Answer:
how would i know the answer
Step-by-step explanation:
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
6/7
Step-by-step explanation:
Jason owns a food truck that sells tacos and burritos. He sells each taco for $4.75 and
each burrito for $7.50. Yesterday Jason made a total of $790 in revenue from all
burrito and taco sales and there were twice as many burritos sold as there were tacos
sold. Write a system of equations that could be used to determine the number of
tacos sold and the number of burritos sold. Define the variables that you use to write
the system.
Answer:
good luck
Step-by-step explanation:
i have no clue but plz r8 5
In how many orders can six people line up from left to right for a group photo?
Answer:
720 possible orders
Step-by-step explanation:
To order 6 people in a line, let's imagine them as 6 possible spaces:
( )( )( )( )( )( )
Going from left to right, let's start with space 1.
There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.
(6)( )( )( )( )( )
Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:
(6)(5)( )( )( )( )
Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.
(6)(5)(4)(3)(2)(1)
This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.
Multiply them together and we have:
6x5x4x3x2x1 = 720 possible orders.
Hope this helped!
Answer:
We have to arrange 6 people in line
. Now, the number of ways to arrange n items = n!.
Hence, the answer is 6!=
=6×5×4×3×2×1= 720 orders
Find the surface area of the prism? Enter your answer in the box
Step-by-step explanation: it 6
Answer: 252m^2 (squared)
Step-by-step explanation: 2×(6×3 + 6×12 + 3×12) = 252m^2
x is 6 or less and more than – 5
A: – 5 <
x
≤ 6 B: – 5 >
x
≤ 6 C: – 5 ≤
x
≤ 6 D: – 5 <
x
< 6 E: – 5 ≤
x
< 6
Answer:
A
Step-by-step explanation:
X is 6 or less so we can start there x≤6. X is also more than -5 so we can do that. -5<x. If we put those two together we get -5<x≤ 6.
The expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.
For the given situation,
The statement of inequality is x is 6 or less and more than – 5
The inequality for x is 6 or less ,
⇒ [tex]x\leq 6[/tex]
The inequality for x is more than – 5
⇒ [tex]x > -5[/tex]
Thus x is 6 or less and more than – 5 can be written as inequality,
⇒ [tex]-5 < x\leq 6[/tex]
Hence we can conclude that the expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.
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helpp
Lily bought shares for $15 each.
When she sold the shares she made
a profit of 35%.
What price did she sell the shares for?
Answer:
profit %=35%
cp=Rs15
sp=?
profit amount =?
now,
sp=35%of cp
=35 of 15
__
100
= 5.25
again,
sp =cp + profit
=15+5.5
=20.5#
Step-by-step explanation:
hope it helps
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person 2/3 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Answer:
5 hrs 19.57 Minutes will be taken to prepare 1575 Bags by Ashley & her 4 friends if Ashley take 2/3 minute to prepare a bag & her each friend takes 75% Longer
Step-by-step explanation:
Ashley Takes 2/3 minute to prepare a bag
=> ashley prepare bag in 1 minute = 3/2
Her friends takes 75% Longer to prepare a bag
time taken by her friends = 2/3 + (75/100)(2/3)
= (2/3)( 1 + 3/4)
= (2/3)(7/4)
= 7/6 Minutes
Her one friend prepare bag in 1 minute = 6/7
Bag prepared by Ashley & her 4 friend in 1 Minute
= 3/2 + 4*6/7
= (21 + 48)/14
= 69/14 Bag
69/14 Bag prepared in 1 minute
1 Bag prepared in 14/69 minutes
1575 bags prepared in 1575 * 14/69
= 319.57 minutes
= 5 hrs 19.57 Minutes
Given the figure below, find the values of x and z.
Answer:
x = 9
z = 71
Hope this helps!
Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots at the foci of the ellipse. How far from the center of the ellipse will the spots be located?
A.
2 feet
B.
4 feet
C.
3 feet
D.
2.5 feet
E.
3.5 feet
Answer:
A: 2 Feet
Step-by-step explanation:
Got it right
What is the answer ??
Answer:
23 yards
Step-by-step explanation:
The sum of the interior angles of a regular 16-gon is
Answer:
The answer should be 2520
I will mark you brainlist!
Jason agreed to make 12 payments of $38.50 to buy a new T.V. SO far he has made 8 payment. How much more money does he owe?
without using calculator or table find the value of sin 15°
Answer:
.25881
Step-by-step explanation:
sin15
=sin(45-30)
=sin45.cos30-cos45.sin30
=(0.707×0.86)-(0.707×0.5)
=(0.6082)-(0.3535)
=0.25
help me out?? thank you so much whoever does!!
43º é th
dgggg ggddddddd
(PLEASE HELP)
Find the area of the given trapezoid.
240 is the answer you're looking for!
Step-by-step explanation:
To find the area, spilt the trapezoid into 3 shapes.
2 triangles (at the ends) and 1 rectangle (the center).
Let's start with the rectangle, the formula for rectangle area is:
[tex]l*w=A[/tex]
The length of the rectangle is 12, the width is 20. Add the numbers in:
[tex]12*20=A[/tex]
Solve:
[tex]12*20=240[/tex]
The area of the rectangle is 240. Now solve for the Triangles.
The formula for finding the area of triangles are is:
[tex](L*W)/2[/tex]
The length of the triangle is 12. To find the width subtract 20 from 30.
L = 12, W = 10. Add in the numbers.
[tex](12*10)/2 = A[/tex]
Use order of operations to solve, start with parenthesis:
[tex]120/2=A[/tex]
Rember to divide it by 2 because a triangle is half of a rectangle.
[tex]60 =A[/tex]
Since there are two identical triangles, you don't need to solve for the other
Now, add the areas together:
[tex]60 + 120+60=A[/tex]
Then solve:
[tex]180+60=A[/tex]
[tex]240=A[/tex]
The correct answer is 240.
The stem-and-leaf plot shows the numbers of hours 10 students studied for their math exam. Find the mean, median, mode, range, and interquartile range of the data
The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.
In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.
Answer:
Kindly check explanation
Step-by-step explanation:
Firstly, we need to write out values if the dataset :
Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.
For the stem plot attached :
Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40
The mean :
Σx / n
n = sample size = 10
= 225 / 10
= 22.5
Arranging data on ascending order :
08, 12, 17, 18, 19, 22, 23, 31, 35, 40
The median :
1/2(n+1)th term
1/2(11)th term = 5.5 th term = (5+6)th term / 2
Median = (19+22)/2 = 20.5
Mode = all dataset (since they all occur once).
Range = (maximum - minimum) = 40 - 8 = 32
Interquartile range : (Q3 - Q1)
Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term
Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33
Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term
Q1 = (12+17)/2 = 14.5
Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5
Answer:
Median: 11
Mode: 3
Range: 30
Step-by-step explanation:
Just took the test :D
Find a volumn please help me
Step-by-step explanation:
In cuboid .
Volume
= Length * breadth * height
= 12 m * 6 m * 5 m
= 360 m³
Hope it will help :)❤
Answer:
360 m^3Step-by-step explanation:
To find volume we need to do length × width × height
We know the length is 12, the width is 6 and the height is 5
[tex]12*6=72[/tex]
[tex]72*5=360[/tex]
Once you have multiplied the numbers, you add the form of measurement which in this case is meters/m. So we will add m to the end.
Also since it is volume, we need to add ^3
360 m^3
which rule would you use to test this parallelogram
Answer:
Opposite sides are congruent
Step-by-step explanation:
you can create equations -18 + 7x = 3x + 14 and 13y = 9 + 10y to solve for x and y to find the length of each side and whether they(the two pairs of opposite sides) are congruent or not
Consider function h.
What are the values of the function when x = 0 and when x = 4 ?
Answer:
x = 0 -> use the second
2(0)²-3(0)+10
h(0)= 10
x= 4 -> use the 3rd
h(4)=2⁴ = 16
The value of h(0) is 10, and h(4) is 16 because the function is a piecewise function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a piecewise function shown in the graph:
When x = 0
h(x) = 2x² -3x + 10, 0 ≤ x , 4
h(0) = 2(0)² -3(0) + 10
h(0) = 10
When x = 4
h(x) = 2ˣ
h(4) = 2⁴ = 16
Thus, the value of h(0) is 10, and h(4) is 16 because the function is a piecewise function.
Learn more about the function here:
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is the answer a,b,c or d
Answer:
C) SSS
Step-by-step explanation:
SSS stands for "side, side, side" and means that we have two triangles with all three sides equal.
If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
This year, the price of a Christmas Cactus painting rose to $359. This is an increase of 15% more than last year’s price. What was the old selling price?
The table below shows the cost of different numbers of goldfish at a pet store.
COST OF GOLDFISH
Number of Goldfish Cost
5 $1.50
10 $3.00
15 $4.50
20 $6.00
The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function?
A. The cost increases $0.30\$ 0.30$0.30 each time 111 goldfish is added.
B. The cost increases $1.50\$ 1.50$1.50 each time 111 goldfish is added.
C. The cost increases $3.00\$ 3.00$3.00 each time 555 goldfish are added.
D. The cost increases $6.00\$ 6.00$6.00 each time 555 goldfish are added.
Answer:
A (I think because i cant tell what the answers are saying)
Step-by-step explanation:
1.5/5= 0.3
3/10=0.3
4.5/15=0.3
6/20=0.3
Next time take a screenshot because i can not really see what the answers are supposed to be. But A is the only one that should be correct
Please help ASAP!!!!Determine the total number of outcomes.
Picking a card from a standard deck then rolling a standard die.
A. 312
B. 58
C. 2
D. 46
Answer:
I believe it would be A
Step-by-step explanation:
A deck of cards has 52 cards in it, so it cant be C or D, and with all the possibilities it could not be B