Using translation concepts, the changes are described as follows:
a) The function is vertically stretched by a factor of 3, and shifted down 2 units.
b) The function is shifted 1 unit right and 4 units down.
c) The function is horizontally compressed by a factor of 2 and shifted up 5 units.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Item a:
The changes are as follows:
y -> 3y, hence the function is vertically stretched by a factor of 3.y -> y - 2, hence the function is shifted down 2 units.Item b:
The changes are as follows:
x -> x - 1, hence the function is shifted right 1 unit.y -> y - 4, hence the function is shifted down 4 units.Item c:
The changes are as follows:
x -> 0.5x, hence the function is horizontally compressed by a factor of 2.y -> y + 5, hence the function is shifted up 4 units.More can be learned about translation concepts at https://brainly.com/question/4521517
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Solve for y: -20x + 10y = 30
Answer:
y = 2x + 3
Step-by-step explanation:
Hello!
Solve for y by isolating the variable.
Solve for y[tex]-20x + 10y = 30[/tex][tex]10y = 30 + 20x[/tex][tex]y = \frac{30 + 20x}{10}[/tex][tex]y = \frac{(10)(3 + 2x)}{10}[/tex][tex]y = 3 + 2x[/tex][tex]y = 2x + 3[/tex]The solution is y = 2x + 3.
To Calculate :-
Value of y.Solution :-
⇒ -20x + 10y = 30
☆ Transposing (-20x) to R.H.S. sign would be changed to positive.
⇒ 10y = 30 + 20x
⇒ y = 30 + 20x / 10
⇒ y = 10 (3 + 2x) / 10
☆ Cancelling 10,
⇒ y = 3 + 2x / 1
⇒ y = 2x + 3
Given that NQ ll PR, find NP
The parallel lines cuts the sides in equal proportion to give NP = 0.8
How can the length of NP be found?The given diagram consists of a line parallel to one of the sides of the triangle.
According to the triangle proportionality theorem, the parallel line, NQ, proportionally divides the sides MR and MP, such that:
NQ || PR
By triangle proportionality theorem;
[tex]\mathbf{ \frac{ MN }{ NP} } = \frac{ MQ }{ QR } [/tex]
Which gives;
[tex] \mathbf{ \frac{ 5 }{ NP} } = \frac{ 8}{ 2 } [/tex]
2×5 = 8 × NP
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Approximate[tex]\sqrt{48}[/tex]to the tenths place
Answer:
6.9
Step-by-step explanation:
If you have a calculator, you can do this easily.
[tex]\sqrt{48}=4\sqrt{3}\quad \left(\mathrm{Decimal:\quad }\:6.92820\dots \right)[/tex]
Round the Decimal to the tenths place, and you get 6.9.
How do I solve for X?
Answer:
20
Step-by-step explanation:
To find x, note that:
Vertically opposite angles are equal.Therefore,
(2x + 20)° = 60°
Removing bracket.
2x + 20 = 60
collecting like term.
2x = 60 - 20
2x = 40
dividing bothsides by 2
2x/2 = 40/2
x = 20
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
How do I solve for X?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
Angles [tex]\bf{60^\circ}[/tex] and [tex]\bf{2x+20}[/tex] are vertical angles. They are congruent, or equal.
Thus,
[tex]\bf{2x+20=60}[/tex] | subtract 20
[tex]\bf{2x=40}[/tex] | divide the equation by 2
[tex]\bf{x=20}[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=x=20}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic \not1\theta l}}[/tex]
How do l do this?? So confused please help me
Answer:
hope they do help. in case of any questions feel free to ask.
WILL MARK BRAINLIEST PLS HELPPPPPP
Answer:
This is the graph of y = 0.4x
A list of consecutive integers begins with m and ends with n. If n - m = 66, how many integers are in the list?
Answer:
67.
Step-by-step explanation:
n - m = 66
The 66 includes the number m+1 up to and including n (buy not m).
So the number of integers is 66 +1 = 67
Find the sum of the first 10
terms.
0.5,0.9,1.3,1.7,..
Answer: 23
Step-by-step explanation:
The first term is 0.5 and the common difference is 0.4.
Using the sum of an arithmetic series formula,
[tex]S_{10}=\frac{10}{2}[2(0.5)+(10-1)(0.4)]=\boxed{23}[/tex]
Handy Leather, Inc., produces three sizes of sports gloves: small, medium, and large. A glove pattern is first stenciled onto leather in the Pattern Department. The stenciled patterns are then sent to the Cut and Sew Department, where the glove is cut and sewed together. Handy Leather uses the multiple production department factory overhead rate method of allocating factory overhead costs. Its factory overhead costs were budgeted as follows: Pattern Department overhead
The production department factory overhead rates for Cut and sew department is 89 and Pattern is 67.
Factory overhead ratea. Pattern Department
Factory overhead rate=Total Overhead Cost/Direct Labor Hours
Factory overhead rate= 140,700/2700
Factory overhead rate=67
Cut and sew Department
Factory overhead rate=231,400/2600
Factory overhead rate=89
b. Factory overhead per unit
Pattern Department:
Small glove=.04 x 67
Small glove=2.68
Medium glove= .05 x 67
Medium glove=3.35
Large glove= .06 x 67
Large glove=4.02
Cut and sew Department:
Small glove=.07 x 89
Small glove=6.23
Medium glove=.09 x 89
Medium glove=8.01
Large glove=.11 x 89
Large glove=9.79
Therefore the production department factory overhead rates for Cut and sew department is 89 and Pattern is 67.
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The complete question is:
Handy Leather, Inc., produces three sizes of sports gloves: small,
medium, and large. A glove pattern is first stenciled onto leather in the Pattern Department. The stenciled patterns are then sent to the Cut and Sew Department, where the glove is cut and sewed together. Handy Leather uses the multiple production department factory overhead rate method of allocating factory overhead costs. Its factory overhead costs were budgeted as follows:
Pattern department Overhead $140,700
Cut and sew Department overhead $231,400
Total $372100
Direct labor labor estimated for each department was as follows:
Pattern Dept. - 2100 direct labor hours
Cut and Sew Department 2600
Total 4700 direct labor hours
Direct labor hours are used to allocate the production department overhead to the products. The direct labor hours per unit for each product for each production department were obtained from the engineering records as follows:
Production Departments Small Glove Medium Glove Large Glove
Pattern dept. 0.04 0.05 0.06
cut and sew dept. 0.07 0.09 0.11
direct labor hours per unit 0.11 0.14 0.17
If required, round all per unit answers to the nearest cent.
a. Determine the two production department factory overhead rates.
Cut and sew department and Pattern
b. Use the two production department factory overhead rates to determine the factory overhead per unit for each product.
small glove, medium glove and large glove
Fill in the missing numbers to complete the Sequence below. 1, 2, 3, 7,-, 24,-.
The missing numbers are 13 and 50
How to determine the numbers
Given the numbers;
1, 2, 3, 7, -, 24, -.
Find the numbers by preceding numbers together, thus;
1 + 1 =2
1 + 2 = 3
1 + 2 + 3 = 7
1 + 2 + 3 + 7 = 13
1 + 2 + 3 + 7 + 13 + 24 = 50
Thus, the missing numbers are 13 and 50
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The path of a ball is modelled by the quadratic function ℎ(t) = −5(t − 2)^2 + 23 where
height, h(t), is in metres and time, t, is in seconds.
a. What is the maximum height the ball reaches?
will give
Answer:
23
Step-by-step explanation:
the answer is the y intercept of the equation
Answer:
23m, at t=2s
Step-by-step explanation:
Putting the physics part aside, you can rewrite the height function as
[tex]h(t)= 23 - 5(t-2)^2[/tex]. Now you have a fixed value, 23, and you're subtracting to it a quantity that, being a square, is at least zero. The maximum value of that sum you have when you're not subtracting anything, that is 23. That happens when [tex]5(t-2)^2 = 0 \rightarrow t=2[/tex]
Alternatively, if you know how to determine the velocity from that kind of motion, you can find out the speed, and the highest altitude you reach when the speed is zero, which leads to a bunch of calculation for the same result.
Multiply. Simplify your answer and write it as a mixed number. 6 * 4/5
Answer:
24/5
Step-by-step explanation:
[tex]\frac{6}{1}*\frac{4}{5} = \frac{24}{5}[/tex]
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Multiply, and simplify your answer, and write it as a mixed number,
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
Write the first fraction as 6/1 and multiply it times 4/5.
[tex]\bf{\dfrac{6}{1}\times\dfrac{4}{5}=\dfrac{6\times4}{1\times5}}=\dfrac{24}{5}}[/tex] | Have you noticed that we multiply the numerators together, and we do the exact same thing with the denominators?
as a mixed number[tex]\bf{4\dfrac{4}{5}}[/tex]
[tex]\cline{1-3}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=4\dfrac{4}{5}}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic \not1\theta l}}[/tex]
The imaginary number i is defined as ?
(1) -1
(3) √-4
(2) √-1
(4) (-1)²
Answer:
√-1
Step-by-step explanation:
The imaginary number i is defined as √(-1)
NOTE : i² = -1
Graph: f(x) = 4x - 4
See the graph in the attached image.
A man ordered 5 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.33 per box, and felt-point pens cost $3.42. If the man’s order of pens totaled $75.21, how many boxes of each type of pen did he buy
Using equation, He bought 3 boxes of ballpoint pens and 15 boxes of felt-tip pens
How to find the boxes of each type of pen using equation?let
x = number of boxes of ballpoint pens
y = number of boxes of felt-tip pens
Therefore, the situation will form an equation.
x = 5y
Hence,
4.33x + 3.42y = 75.21,
4.33(5y) + 3.42y = 75.21
21.65y + 3.42y = 75.21
25.07y = 75.21
y = 75.21 / 25.07
y = 3
x = 5(3) = 15
Hence, he bought 3 boxes of ballpoint pens and 15 boxes of felt-tip pens
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Assume Pina Colada Corp. uses the periodic inventory system and has a beginning inventory balance of $5800, purchases of $65000, and sales of $112000. Pina closes its records once a year on December 31. In the accounting records, the inventory account would be expected to have a balance on December 31 prior to adjusting and closing entries that was:
a. equal to $5800
b. less than $5800
c. more than $5800
d. indeterminate
The inventory account expected to have by December 31 is more than $5800. Option C
How to calculate the end inventoryThe formula for end inventory is given as ;
Ending inventory = Beginning inventory + net purchases –sales
Beginning inventory = $5800
Net purchases = $65000
Sales = $112000
Put into the formula
Ending inventory = $ [tex]5800 + 65000 - 112000[/tex]
Add first,
Ending inventory = $ [tex]70800 - 112000[/tex]
Ending inventory = $ -41, 200
Thus, the inventory account expected to have by December 31 is more than $5800. Option C
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solve the following proportion for x 3/8 =x/13
The value of x in the proportion is x = 39/8
How to solve the proportion?The proportion is given as:
3/8 =x/13
Cross multiply
8 * x = 3 * 13
Evaluate
8x = 39
Divide by 8
x = 39/8
Hence, the value of x in the proportion is x = 39/8
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will give brainliest
So, the graph of f(x - 2) is just the graph of f(x) translated 2 units to the right.
How to sketch the graph of f(x - 2)?
Sadly we don't have the original function f(x), but we can answer in a general form.
Remember that for a general function f(x), a horizontal translation of N units can be written as:
g(x) = f(x + N).
if N > 0, then the translation is to the left.if N < 0, the translation is to the right.So, the graph of f(x - 2) is just the graph of f(x) translated 2 units to the right.
So you need to resketch f(x), but just move it 2 units to the right side (positive x-axis side).
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e
2. Based on the circular
angle below. What is the
best measurement
the angle?
for
a. less than 90°
b. more than 90°
c. more than 70°
d. less than 120°
The best measurement for the angle is less than 90°. The correct option is a. less than 90°
Measure of anglesFrom the question, we are to determine which of the given options is the best measurement for the angle
In the given diagram, we can observe that the angle is an acute angle. Thus, the measure of the angle will be lesser than 90°.
Hence, the best measurement for the angle is less than 90°. The correct option is a. less than 90°.
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Line AB contains points A (8,-4) and B (1, -5). The slope of line AB is
Let, the points be A (8, −4) and B (1, −5). The slope of line AB exists 1/7.
How to estimate the slope of line AB?Utilize the slope formula to estimate the slope of a line provided the coordinates of two points on the line.
The slope formula exists [tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex], or the difference in the y values over the difference in the x values. The coordinates of the first point symbolize [tex]$x_{1}[/tex]and [tex]$y_{1}[/tex]. The coordinates of the second points exist [tex]$x_{2} , y_{2} .[/tex]
The slope of the line exists the ratio of the rise to the run, or rise separated by the run.
[tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex]
The Line, AB contains points A (8, −4) and B (1, −5).
Substitute the value of points in the equation then we get
[tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex]
m = (-5-(-4))/(1 - 8)
Simplifying the above equation, we get
m = (-5+4)/(1 - 8)
m = (-1)/(-7)
m = 1/7
Therefore, the slope of line AB exists 1/7.
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image What's the exact area of triangle DEF shown in the graph? Question 13 options: A) 15 square units B) 18 square units C) 24 square units D) 36 square units
Using the coordinate geometry formula, the exact area of triangle DEF is: B. 18 square units.
What is the Coordinate Geometry Formula?The coordinate geometry formula is used to find the rea of a triangle with given coordinates of its vertices. It is given as: the absolute value of [Dx(Ey - Fy) + Ex(Fy - Dy) + Fx(Dy - Ey)]/2.
Dx = -3
Dy = 4
Ex = 3
Ey =-2
Fx = 3
Fy = 4
Plug in the values:
[-3(-2 - 4) + 3(4 - 4) + 3(4 - (-2))]/2.
[-3(-6) + 3(0) + 3(6)]/2.
[18 + 0 + 18]/2.
36/2
= 18 units²
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Can not be bothered to write the question so ima just attach it
Use desmos graphing calculator, for visuals. It's easy to use as well.
A is 0 (zero)
(1x1 + 2x1 - 3)
B) D ( lies on 1 on our x-axis)
C) This tells you to draw a line at zero on the y-axis, a horizontal line BTW & read off the x values, where the line touches the pink graph/diagram.
y=x^2+2x-3 is the similar to x^2+2x-3=0 because the letter y now represents zero. So, that's why we draw the line y=0 (a horizontal line at zero). Then, use it to find the x values.
Thus, x = - 3 & x = 1
Hope this helps!
If four times a number, added to 3 is divided by the number plus 2, the result is seven halves. Find the number.
The number is…
Answer:
X=-8
Step-by-step explanation:
A number x is multiplied by 4, added to 3, and then divided by x+2, leaving us with 7/2. Or, as an equation:
[tex] \frac{4x + 3}{x + 2} = \frac{7}{2} [/tex]
Now, let's cross multiply:
[tex]2(4x + 3) = 7(x + 2)[/tex]
[tex]8x + 6 = 7x + 14[/tex]
And solve:
[tex]x + 6 = 14[/tex]
[tex]x = - 8[/tex]
Find the value of p.
Answer:
p = 9
Explanation:
There is no remainder when a polynomial is completely divided by divisor.
Here:
divisor: (x - 6)polynomial: f(x) = x³ - 13x² + 6px - 72Set to zero:
(x - 6) = 0x = 6Insert into equation.
f(6) = 0
(6)³ - 13(6)² + 6p(6) - 72 = 0
216 - 468 + 36p - 72 = 0
-324 + 36p = 0
36p = 324
p = 324/36
p = 9
100pts!! Please help me graph this piecewise function!!!!
Answer:
Step-by-step explanation:
Attached is graphed piecewise function.
Take note, if the inequality is a less than or equal to or (more than or equal to), the dots will be solid, otherwise it will be hollow.
Since this is a piecewise function, here is one question you might want to ask yourself:
Does the limit exist when x approaches 4?
The answer to this problem
Hello and Good Morning/Afternoon
Let's take this problem step-by-step:
What does the problem want:
⇒use the substitution method
⇒ to solve the problem
Let's substitute y's value from the second equation to our first equation
[tex]2x-y=8\\y=x-3\\\\\rm \hookrightarrow 2x-(x-3)=8\\\rm \hookrightarrow 2x-x+3=8\\\rm \hookrightarrow x=8-3=5[/tex]
Now substitute the x's value into the first equation
[tex]y=x-3\\x=5\\\\\rm \hookrightarrow y=(5) - 3 =2[/tex]
The solution is (5,2)
Answer: (5,2) or (B)
Hope that helps!
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A drug used to relieve anxiety and nervousness has a half-life of 16 hours. if a doctor prescribes one 2.8-milligram every 24 hours, then what percentage of the last dosage remains in the patient’s body when the next dosage is taken
After 24 hours, 35.4% of the initial dosage remains on the body.
What percentage of the last dosage remains?
The exponential decay is written as:
[tex]f(x) = A*e^{-k*x}[/tex]
Where A is the initial value, in this case 2.8mg.
k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:
[tex]k = ln(2)/16h[/tex]
Replacing all that in the above formula, and evaluating in x = 24 hours we get:
[tex]f(24h) = 2.8mg*e^{-24h*ln(2)/16h} = 0.9899 mg[/tex]
The percentage of the initial dosage that remains is:
[tex]P = \frac{0.9899mg}{2.8mg}*100\% = 35.4\%[/tex]
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Which mathematical figure has length but no beginning or end?
O a point
O a segment
O a line
O a ray
Answer:
The correct answer: a line
What is the deposit of $40
The integer form is + 40.
The integer form is - 25
What is an integer?An integer is a whole number from the set of negative, non-negative, and positive numbers.
Therefore, integers can be written without fractional components.
Hence, integers may include negative or positive numbers . Examples are -1, 2, 5, -8, 9 and many more.
A deposit of 40 dollars means gain. Therefore, the integer form is + 40.
A loss of 25 pounds mean loss. Therefore, the integer form is - 25
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A student ran a distance of 3 miles each day for 5 days. Then the student ran a distance of 4 miles each day for the next 5 days
What was the total distance in miles the student ran during these 10 days?