Answer:
y=|6x-2|-3
Step-by-step explanation:
I can see y=|x-1/3|-3 is a tempting answer, it does have its vertex at (1/3,-3) but it doesn't go through (1,1). This graph needs to be steeper, so we need to multiply x and the -1/3 coefficient next to it.
We multiply x and -1/3 each by 6, and boom! The graph goes through (1,1) and the vertex is still maintained at (1/3,-3) The -3 outside of the function doesn't change because the vertex's y-coordinate is -3, so it must stay the same.
The formula for the absolute value function with the vertex at ([tex]\frac{1}{3}[/tex], -3) and passing through (1, 1) is f(x) = 6|x - [tex]\frac{1}{3}[/tex]| - 3.
To write the formula for an absolute value function with a given vertex and point, we can use the standard form of an absolute value function, which is f(x) = a|x - h| + k, where (h, k) is the vertex of the function. In your question, the vertex is at the point ([tex]\frac{1}{3}[/tex], -3) and the function passes through the point (1, 1).
We can start by substituting the vertex into the formula, which gives us f(x) = a|x - [tex]\frac{1}{3}[/tex]| - 3. To find the value of 'a', we use the fact that the function also passes through the point (1, 1). Substituting x = 1 into the formula gives us 1 = a|1 - [tex]\frac{1}{3}[/tex]| - 3 → 1 = a([tex]\frac{2}{3}[/tex]) - 3 → a = 6. So, the function formula is f(x) = 6|x - [tex]\frac{1}{3}[/tex]| - 3.
please help will give brainliest and 80 points
Answer:
Start
A2
B2
B1
C1
C2
D2
D3
D4
C4
END
Step-by-step explanation:
Start (A3)
x is equal to 141 because they are alternate interior angles.
A2. x is equal to 39 because they are corresponding angles.
B2. x would be supplementary to 41 because the angle that x supplements is corresponding to 41.
41 + x = 180 due to the linear pair postulate. Therefore, x = 139.
B1. x would be supplementary to 82 because they are consecutive exterior angles.
82 + x = 180 due to the linear pair postulate. Therefore, x = 98.
C1. x = 102 due to the vertical angles theorem.
C2. x would be supplementary to 130 because the angle that x supplements is equal to 130 (Alternate Exterior Angles).
130 + x = 180, x = 50.
D2. x = 74, corresponding angles.
D3. x = 83, corresponding angles.
D4. x = 95, corresponding
C4. x is supplementary to 18 because of the consecutive interior angles theorem.
x = 162
END
PLEASE HELP ASAP 30 POINTS MY BRAINS TO FRIED TO THINK. I ALREADY DID A PART OF THE ANSWER, PLEASE SOLVE THE REST.
An expression is shown below:
f(x) = −16x2 + 22x + 3
What are the coordinates of the vertex? Justify your answers and show your work.
ANSWER:
To find the vertex: the x value = f(x)=ax^2+bx+c= is -b/(2a), and y value = f(-b/(2a)).
Given: f(x)= −16x2 + 22x + 3
a= -16 and b= 22
b-/2a= -(22)/(-16*2)=11/16
PLEASE SOLVE THE REST
Answer:
Vertex is at (11/16, 169/16)
Step-by-step explanation:
f(x) = −16x^2 + 22x + 3
The vertex is at x = -b/2a
x = -22/(2)(-16) = -22/-32 = 11/16
f(11/16) = -16 (11/16)^2 +22(11/16) +3
=-16 *11/16 *11/16 +22*11/16 +3
= -121/16 +242/16 +3
-121/16 +242/16 +48/16
169/16
Vertex is at (11/16, 169/16)
Answer:
Vertex: (11/16,169/16)
Step-by-step explanation:
You plug in the x value to find the y value so
-16(11/16)^2+22(11/16)+3=
-16(121/256)+121/8+3=
-121/16+145/8=
Y=169/16
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5. Enter your answer into the blank equation box. a0
Answer:
-3/5x + y = - 26/5
Step-by-step explanation:
First, I put everything in slope-intercept form, just because it's more simple for me.
y = 3/5x + b
Since we don't have b, we can use the coordinate they give us to solve for it.
-4 = 3/5 (2) + b
-26/5 = b
y = 3/5x - 26/5
Now, we can move the variables around to fit the form:
Ax + By = C
-3/5x + y = - 26/5
I hope this helped!
what is an object that is more than 2 feet but less than 1 yard
Answer: My TV
Step-by-step explanation: It is more than two feet but smaller than one yard
The objects which are more than 1 foot but less than 2 feet are of the measurements 1.1 feet, 1.2 feet, 1.25 feet, and so on.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Given that,
We have to find the object which has the length of more than 1 foot but less than 2 feet.
Those objects will be having the measurements in between 1 foot and 2 feet.
1 foot is approximately 30.5 cm.
So, the object will be having the length of 30.5 cm to 61 cm.
Hence the required objects will be having the length in between 30.5 cm to 61 cm.
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"Your question is incomplete, probably the complete question/missing part is:"
What is an object that is more than 1 foot but less than 2 feet.
HELP PLEASE 25 POINTS
Answer:
$15, $8, $1, respectively
Step-by-step explanation:
Line up the number of years with the line and check the pay.
Answer:
1. $15
2. $8
3. $1
Step-by-step explanation:
Line the number of years and see the pay of them. I hope this helps! Please mark me brainliest!
On January 1, 2010, Lucita bought a car for $25,000. If the car depreciates at a rate of 15% per year, which equation can be used to find the value of the car on January 1, 2018?
Answer:
[tex] a_9=25,00(0.85)^{9-1}[/tex]
Step-by-step explanation:
Let [tex]a_1=25,000[/tex]
After one year, in 2001, the price is $a_2$, where
$a_2= a_1-a_1\times (0.15)$
$\therefore a_2=a_1(1-0.15)=a_0(0.85)$
Now after two years, in 2002, let the price be $a_3$
The pattern is pretty clear. After $n$ years, in $200n$ the price will be:
$a_n= a_0(0.85)^{n-1}$
Answer:
A
Step-by-step explanation:
a1=25000(0.85)^ 9-1
The guy above is right. I just wanted to simplify the answer.
the HL theorem is a special case of the ___.
Answer:
SSS POSTULATE is the answer
Step-by-step explanation:
On Monday, the high was 60oF. On Tuesday, the high was 10% more than Monday. Then on Wednesday, the temperature decrease by 8%.
Answer:
60.72
Step-by-step explanation:
Monday: 60 degrees
Tuesday: temperature increases by 10 percent
60 + 10% of 60
60 + .10*60 = 70 +6 = 66
Wednesday: temperature decreases by 8 percent
66 - 8%of 66
66 - .08*66 = 66 -5.28=60.72
Answer:
60.72°F
Step-by-step explanation:
10% increase: 100+10 = 110% of the previous
On Tuesday:
110/100 × 60
66°F
Decrease by 8%: 100-8 = 92% of the previous
On Wednesday:
92/100 × 66
60.72°F
The partial factorization of x2 – 3x – 10 is modeled with algebra tiles.
Factoring out in algebra simplifies expressions such as quadratic equations into products of binomials or linear factors, sometimes using complex coefficients to achieve this if necessary.
The process of factoring out involves finding the numbers or expressions that divide evenly into the original expression. In the case of quadratic expressions like [tex]x^2 - 3x - 10[/tex], we look for two binomials that multiply together to give us the original quadratic. In algebra, a common method of factoring is looking for two numbers that multiply to give the constant term (in this case -10) and add up to the coefficient of the middle term (in this case -3). These two numbers are the factors of -10 that we use to split the middle term.
For example, the factors of -10 that add up to -3 are -5 and 2. Using these numbers, we can write [tex]x^2 - 3x - 10[/tex] as (x - 5)(x + 2). This is called factoring by grouping, wherein we factor common terms out of pairs of terms and then factor further if possible.
In the context of complex numbers, all second-order polynomials can be factored into linear factors. For instance, [tex]x^2 + 1[/tex] can be factored as (x - i)(x + i), utilizing complex roots i and -i. The fundamental theorem of algebra assures us that any polynomial can be factored completely into linear factors using the complex number system.
as of 2010, the new york yankees had one more world series championships than any other team. in fact, the yankees had won 3 fewer than 3 times the number of world series championships won by the second most winning team, the st. louis cardinals. the sum of the two teams' world series championships is 37. how many times has each team won the world series?
solve using a system of equations. please show work.
Answer:
Step-by-step explanation:
first you get your equations, because the game sums are based upon the st louis cardinals we will use them as x.
According to the problem the yankees won 3 fewer (-3) that 3 times (3x) the st louis cardinals which brings their equation to 3x-3
The sum of these to equations equals 37
37=x+3x-3
when you solve, you get x=10
then you plug it into the DIFERENT equations
3(10)-3=27 (yankees)
x=10
then check using your preffered method
Final answer:
Using a system of equations, it was determined that the New York Yankees had won 27 World Series championships, and the St. Louis Cardinals had won 10 by 2010.
Explanation:
Let Y represent the number of World Series championships won by the New York Yankees, and let C represent the number won by the St. Louis Cardinals. We have two facts from the question:
The sum of the World Series championships for both teams is 37: Y + C = 37.
The Yankees have won 3 fewer than 3 times the number won by the Cardinals, and one more than the Cardinals: Y = 3C - 3 and C = Y - 1.
Substituting the second equation into the first, we get (3C - 3) + C = 37. Solving this, we get 4C - 3 = 37, so 4C = 40, and C = 10. Substituting C into Y = 3C - 3, we get Y = 3(10) - 3 = 30 - 3 = 27.
Therefore, the Yankees had won 27 World Series championships, and the Cardinals had won 10 by 2010.
I need the answer ASAP !!!!
I hope this helps you
x^2+2.(-3).x+(-3)^2
(x-3).(x-3)
(x-3)^2
Nathan opened a savings account with $1700 that pays no interest. He deposits an
additional $180 each week thereafter. How much money would Nathan have in the
account 35 weeks after opening the account? Round to the nearest tenth (if
necessary).
Answer:
$8,000
Step-by-step explanation:
He starts with %1700. If he adds $180 for 35 weeks, you multiply 180 by 35, and you get $6300, then you add the original $1700 and the $6300, you get $8000
Answer:
$8000
Step-by-step explanation:
$180x35+$1700=$8000
David is an enthusiastic cyclist. He uses an app on his phone to track each of his cycling sessions. What was the shortest he cycled
Answer:
There is no picture
Step-by-step explanation:
There is no picture but the answer would be the shortest amount of time.
The answers are as follows:
15.05 miles2 :09:125 hours 19 minutes 18 secondsWhat is unit Conversion?Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.
Given :
28/4/18:Time : 1 :03 : 25
Fastest mile = 02 : 25
Distance = 15.05 miles
03/5/18:Time : 2:06: 41
Fastest mile = 02 : 53
Distance = 28.70 miles
08/5/18:Time : 2 :09:12
Fastest mile = 02 : 45
Distance = 26.39 miles2
1.)As, per the data
15.05 < 26.39 < 28.70
Shortest distance cycled = 15.05 miles
and, 1 :03 : 25 < 2:06: 41 < 2 :09:12
Longest = 2 :09:12
Total time, in hours
=1 :03 : 25 + 2:06: 41 + 2 :09:12
=(1 + 2 + 2)
= 5 hrs
In minutes
= 03 + 06+ 09
= 18 minutes
For seconds,
25 + 41 + 12
= 78 seconds
= 1 minute 18 seconds
Hence, Total time = 5 hours 19 minutes 18 seconds.
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PLEASE HELP DUE TOMORROW PLEASE HELP ME!!!!!!!!!!!!!
HELP!!!!!!!!!!!!!!!!!!!!!
What is m∠CDE?
A circle with center point A and four chords BE,ED,DC,CB joins to make a trapezoid. The angle at BED is given as 62 degree and also arc angles BE and BC measuring 90 degree and 64 degree respectively
A. 45
B. 62
C. 64
D. 77
I believe that the answer is A. 45 but if I am wrong I am so sorry I was just trying to help.
Answer:
A.45
Step-by-step explanation:
Need help with algebra!!!!!
Answer:
C.
Step-by-step explanation:
Multiplying identical variables together is identical to adding the exponents of each.
In this case, you have three [tex]b^{1}[/tex]s. You can multiply these to create [tex]b^3[/tex].
Now, you have [tex]\frac{1}{b^3}[/tex].
Negative exponents mean that the base (b in this scenario) is on the opposite side of the fraction line.
[tex]\frac{1}{b^3} = b^{-3}[/tex]
Answer: C, b^-3.
Step-by-step explanation: If you multiply b*b*b you get b^3. Since b^3 is the denominator and the numerator is 1, you can just multiply the top and bottom by b^-3 to get rid of the denominator. b^3*b^-3 is 1, which effectively removes the denominator, and 1*b^-3 is b^-3. Thus, the answer is b^-3.
What is the distance from (-2,4) to (0,-6)? Round your answer to the nearest hundredth.
A. 9.23
B. 10.20
C. 10.98
D. 11.34
Answer: its B 10.20
Step-by-step explanation:
The tires on your bicycle have a diameter of 9 inches. How many rotations does each tire make when you travel 300 feet. Round your answer to the nearest whole number
Answer:
127
Step-by-step explanation:
The diameter in feet is ...
(9 in)·(1 ft)/(12 in) = 9/12 ft = 0.75 ft
Then the circumference is ...
C = πd = 3.14159·0.75 ft ≈ 2.3561925 ft
The number of rotations in 300 ft is ...
(300 ft)/(2.3561925 ft/rotation) ≈ 127.32 rotations
The tires make about 127 rotations when you travel 300 feet.
Consider the scatter plot.
The line of best fit for the data is y = 4.5x + 75.
Predict the interest earned after 12 years.
129
135
120
144
[tex]x=12, so\\y=4.5 \times 12+75\\y=129[/tex]
Answer: 129
Answer:
A
Step-by-step explanation:
If the best fit for the data is y = 4.5x + 75, we simply want to plug 12 in for x and solve for y:
y = 4.5 * 12 + 75 = 129
The answer is A.
Hope this helps!
Describe or show two ways to find the following product 1/4 x 2/3
Answer:
1-1/4 x 2/3= 2/12 or 1/6
Step-by-step explanation:
Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $136. Two adults and three children must pay $97. Find the price of the adult's
ticket and the price of a child's ticket
Answer:
all work pictured and shown
The price of the adult's ticket and the price of a child's ticket are $20 and $19 respectively.
What is a system of linear equations?A "system" of equations is a set or collection of equations that you deal with all together at once.
Given that, Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $136. Two adults and three children must pay $97.
Let the price for adult be a and for children be c,
Establishing the equations,
3a+4c = 136.......(i)
2a+3c = 97.........(ii)
Solving the equations,
Multiplying the equation 1 by 3 and equation 2 by 4 and subtracting,
(9a+12c = 408) - (8a+12c = 388)
a = 20
c = 19
Hence, the price of the adult's ticket and the price of a child's ticket are $20 and $19 respectively.
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how are vectors used in real life ?
Answer:
anyplace where a magnitude and direction are needed
Step-by-step explanation:
Perhaps many folks encounter vectors with respect to directions: "go 2 blocks east, then turn right and go 3 more blocks." They are also an integral part of any weather report: "wind is from the SW at 6 mph."
Vectors are used in navigation, including air and sea travel: "turn right to heading 150°".
They are used in surveying to match points on a map to points on the ground. The boundary of a piece of land is often determined in raw form from distances and directions relative to a benchmark. Likewise for the location of corners of buildings, the paths of roadways, and other civil works.
In wartime, vectors are used to identify the locations of friendly or enemy positions relative to one's own position or some base or other reference point. They are used in the setup of artillery or mortar fire. Snipers must take wind speed and direction into account in order to accurately hit their target.
Many engineers use vectors in their calculations for electrical or mechanical designs. Chiropractors use vectors to describe the direction and magnitude of the forces they apply, as do other doctors and surgeons of all kinds.
Players in games involving balls or pucks (football, soccer, tennis, volleyball, baseball, basketball, hockey, and others) are well aware of the vector forces they must apply to get the desired outcome from a play.
Which statements are true about the unknown side length in this right triangle? Check all that apply.
A triangle with side StartRoot 13 EndRoot meters and hypotenuse of 6 meters.
The equation a squared + (StartRoot 13 EndRoot) squared = 6 squared can be used to find the unknown length.
The equation (StartRoot 13 EndRoot) squared + b squared + 6 squared can be used to find the unknown length.
The equation (StartRoot 13 EndRoot) squared + 6 squared = c squared can be used to find the unknown length.
The length of the unknown leg is StartRoot 23 EndRoot meters.
The length of the unknown leg is 7 meters.
Answer:
1,2,4
Step-by-step explanation:
edge 2020 hope this helps :>
Final answer:
The true statement about finding the unknown side length of the triangle is that the equation a² + (√13)² = 6² can be used, following the Pythagorean theorem. Other stated equations and proposed lengths are incorrect based on the theorem's application.
Explanation:
The question involves applying the Pythagorean theorem to a right triangle with given side lengths. According to the theorem, in any right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two legs (a and b). Therefore, the equation that can be used to find the unknown side length is a2 + b2 = c2. Given a triangle with one side as √13 meters and the hypotenuse as 6 meters, we can solve for the unknown leg.
Firstly, correct application for the Pythagorean theorem here is a2 + (√13)2 = 62, indicating the first statement is true. By substituting √13 for one leg and 6 for the hypotenuse, squaring the values and rearranging, we find the length of the unknown leg. The correct calculation leads to the discovery that the unknown leg length cannot be 7 meters or √23 meters, as those do not fit the requirements set by the question's parameters.
Therefore, the true statements are:
The equation a2 + (√13)2 = 62 can be used to find the unknown length.
Other suggested equations are incorrect applications of the Pythagorean theorem, and the provided side lengths do not result in the unknown leg measuring √23 or 7 meters.
5.
A rectangle with an area of 96 square
centimeters has whole-number side
lengths. What is the difference between
the greatest and least perimeters of the
rectangles?
A. 57 centimeters
B. 60 centimeters
C. 124 centimeters
D. 154 centimeters
Answer:
60
Step-by-step explanation:
because they per pack gag waf odni kush pop pop code this fuzz quiz wants Welch yeah hasn't
2772, 3663, 2970,4275, 5841, 3564 which of the numbers has to be excluded?
Answer:4275
Step-by-step explanation:4275 will be removed because in the other numbers ,the numbers formed by the first two digits plus the number formed by the second two digits is 99 which does not happen in the case of 4275.
27=9 72=9
36=9 63=9
Suppose you are told that the average height of a stone block is 1.39 m rather than 1.4 m. Would that increase or decrease your estimate of the total number of blocks in the pyramid? Explain.
Answer:
Increase
Step-by-step explanation:
Since the total number of blocks in a pyramid is found by dividing the height of pyramid by the height of each block, then the block height of 1.39 m requires more pieces compared to 1.4 m
Illustration
If the height of pyramid was 139 m, the number if blocks each measuring 1.39 m will be 139/1.39=100+1 blocks while if blocks are 1.4m then number will be 139/1.4=99+1 blocks
Therefore, the height of 1.39m will increase the number of blocks
Sorry there is a few pics please help
Answer:
D
Step-by-step explanation:
In the graph, there are only two values for a graph. In this case, those two values are crackers and calories.
Answer:
D. The two variables are the number of crackers and the number of calories.
Step-by-step explanation:
The x-axis represents the number of crackers and the y-axis represents the number of calories.
Explain the differences between solids that are polyhedra and solids that aren’t polyhedra.
Answer:
A polyhedron is a solid shape with flat sides, while a non polyhedron is a solid shape which has curved sides.
Step-by-step explanation:
A polyhedron, can be seen as a solid shape with many plane figures, forming its sides. Examples of polyhedrons are cuboids, squares and pyramids. As you can see, these solid shapes have flat sides.
On the other hand, a non polyhedron is a solid shape that has curved surfaces. Examples include: cones, spheres and cylinders.
Hence polyhedron: No curved surface
Non polyhedron: curved surface
Final answer:
Polyhedral solids are composed of flat polygonal faces and have geometrically regular shapes, while non-polyhedral solids can have curved surfaces and irregular shapes, such as spheres and cylinders.
Explanation:
Differences Between Polyhedral and Non-Polyhedral Solids:
Solids that are polyhedra have flat faces, straight edges, and sharp vertices. Polyhedral solids are a category of solids composed of polygons that are joined together at their edges and vertices. The most common examples of polyhedra include cubes, pyramids, and prisms. These solids have a geometrically regular shape and are often symmetrical.
In contrast, solids that are not polyhedra may have curved surfaces, and irregular shapes, and do not consist exclusively of flat polygonal faces. Common examples of non-polyhedral solids include spheres, cylinders, and cones. These shapes are not limited by flat surfaces and can have continuous curved surfaces.
While polyhedral solids can be easily mathematically described by the polygons that comprise their faces, non-polyhedral solids often require more complex geometry, such as calculus, to describe their curved surfaces.
Convert 3 – 3i to polar form.
Answer:
z =3−3i
Step-by-step explanation:
Answer:
Step-by-step explanation:
answer: 3[tex]\sqrt{2}[/tex] cis [tex]\frac{7\pi }{4}[/tex]
explination:
z = 3 -3i
r = [tex]\sqrt{3^{2} + 3^{2} }[/tex]
r = 3[tex]\sqrt{2}[/tex]
θ = [tex]2\pi + tan^{-1} ( -\frac{3}{3} )[/tex]
θ = [tex]2\pi + tan^{-1} ( -1 )[/tex]
θ = [tex]2\pi - \frac{\pi }{4}[/tex]
θ = [tex]\frac{7\pi }{4}[/tex]
= 3[tex]\sqrt{2}[/tex] cis [tex]\frac{7\pi }{4}[/tex]
Which of the following is a trinomial?
O A. 7+X
O B. v3x+1
O C. x+3
D. 3x2 + 4x+1
su
Answer:
D. 3x2 + 4x+1
Step-by-step explanation:
This answer is a trinomial because there are 3 terms being used, 3x2, 4x, and 1.
If this answer is correct, please make me Brainliest!
Cindy went to Maggie Moo’s for an ice cream cone after school. The ice cream cone had a radius of 3 inch, a height of 2 inches, and a slant length of 3 inches, how much ice cream could the cone hold? (use 3.14)
_____inches3
Answer: 56.52
Step-by-step explanation: You multiply both the 3’s and get 9 then you multiply that by 2 and that answer you multiply it by 3.14