Find the coordinates of the figure after the transformations. Translate the triangle 1 unit right and 5 units down. Then reflect the image in the y-axis.
The final image is the same as Translate 5 units down, and then reflect over the y axis.
What is Transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
Translation is the movement of a point up, down, left or right.
Transformation is the movement of a point from its initial location to a new location.
The final image is the same as Translate 5 units down, and then reflect over the y axis.
Therefore the coordinates remains same as previous figure.
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Rewrite (132 + 228) using factoring.
4(32 + 57)
6(22 + 222)
4(33 + 57)
16(116 + 14)
The expression using factoring is 4 * (33 + 57)+ 8)
How to rewrite the expression using factoring?The expression is given as
(132 + 228)
Factor out 2 from the expression
So, we have
(132 + 228) = 2 * (66 + !14)
Factor out 2 from the expression
So, we have
(132 + 228) = 2 * 2 * (33 + 57)
This gives
(132 + 228) = 4 * (33 + 57)
Hence, the expression using factoring is 4 * (33 + 57)+ 8)
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The quotient of a number and -5 increased by 7 os at minimum 1
The quotient of a number and -5 increased by 7 os at minimum 1 is x ≤ 30.
Sometimes they will ask for a remainder or to find a quotient using the dividend and divisor values. Whatever they ask for, you can quickly discover the right answer if you know how to write it down or how to build the equation based on reading the question.
Here, we assume that the quotient of a number is x, and we first write the formula by deciphering the provided question.
The product of a number's ratio to -5 and 7 is
x/-5 + 7
This is at least one
x/-5 + 7 ≥ 1
Take 7 away from both sides.
x/-5 ≥ -6
Add -5 to both sides. Since this integer is negative, the inequality sign must be changed:
x ≤ 30
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5x²-7x+4 FACTORISATION??
Answer:
The answer is given in attached file.
Step-by-step explanation:
-6
-4
-2
6
4
2
2
4 6
f(1) =
Answer:
f(1)= -4
Step-by-step explanation:
o_o. .............>|||✓✓✓✓✓
Find the value of x.
28°
X
X
x = [?]°
Step-by-step explanation:
180-28=152
152÷2=76
x=76°
find the real numbers that satisfy the equation |x| = 41.5
Answer:
x| = 78.7 is satisfied by both x = 78.7 and x = -78.7.
Step-by-step explanation:
<
Which of the a values are solutions to the following equation?
a² = 6.4
Choose all answers that apply:
()
B
U
(D)
a = -0.8
a=0.8
a = -3.2
a=3.2
None of the above
Answer:
a= -0.8 and a= 0.8
Step-by-step explanation:
this questions wants u to find a perfect square for numbers if its difficult becuz of the decimals I suggest u move it and bring it back in your final answer
Please show step by step… i don’t understand!
Answer:
14.47 . . . units
Step-by-step explanation:
Given the vertices of triangle XYZ are (-1, 3), (3, 0) and (-1, -2), you want the perimeter rounded to hundredths.
PerimeterThe perimeter of a polygon is the sum of the lengths of the sides. When the points defining a side are on a vertical line, as with segment XZ, the length is the difference of y-coordinates.
When the points are not on a horizontal or vertical line, the distance between them can be found using the distance formula.
Distance formulaThe distance between (x1, y1) and (x2, y2) is given by the formula ...
d = √((x2 -x1)² +(y2 -y1)²)
The length of segment XY is ...
d = √((3 -(-1))² +(0 -3)²) = √(4² +(-3)²) = √25 = 5
The length of segment YZ is ...
d = √((-1 -3)² +(-2-0)²) = √((-4)² +(-2)²) = √20 ≈ 4.47
Sum of side lengthsSide XZ has length (3 -(-2)) = 5, the difference of y-coordinates. Then the perimeter is ...
P = XZ +XY +YZ = 5 +5 +4.47
P = 14.47 . . . . units
The perimeter of the triangle is about 14.47 units.
-12 < y - 6
Help please.
a. If a family has 5 children, in how many ways could the parents have 2 boys and 3 girls as children?
Answer: 10 ways
Step-by-step explanation:
5! / (3! * 2!)=
1*2*3*4*5/(1*2*3*1*2)=
4*5/(1*2)=
20/2=10 ways
for the function f (x) = 4x^1/3, find f^-1 (x)
Answer:
Solutions in Attached Photo.
Step-by-step explanation:
To find the inverse of a function , we first solve for x in terms of y, then swap back x and y to get the inverse.
Figure ABCD is an isosceles trapezoid. Find the value of x. 8x-12 5x+9 (water spilled on my paper)
The value of x in the isosceles trapezoid is 7.
How to find angles of an isosceles trapezoid?An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.
The base angles of an isosceles trapezoid are the same.
Therefore,
8x - 12 = 5x + 9
subtract 5x from both sides of the equation
8x - 12 = 5x + 9
8x - 5x - 12 = 5x - 5x + 9
3x - 12 = 9
add 12 to both sides of the equation
3x - 12 = 9
3x - 12 + 12 = 9 + 12
3x = 21
divide both sides by 3
x = 21 / 3
x = 7
Therefore, the value of x in the isosceles trapezoid is 7.
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The bookstore marked some notepads down from $2.00 but still kept the price over $1.00. It sold all of them. The total amount of money from the sale of the pads was $31.45. How many notepads were sold? What was the price of each notepad?
Answer: i think 16
Step-by-step explanation:
How can I draw this problem?
Using translation concepts, the graph of f(x) is given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is given by:
f(x) = |x|
Which has the graph in the format of a V centered at the origin.
The translated function is given by:
g(x) = -1/2|x + 4| + 2.
The translations are as follows:
Reflection over the x-axis, due to the multiplication by the negative number, thus the V is pointing down now.Vertical compression by a factor of 2, due to the division by 2.Shift left of 4 units, as x -> x + 4.Shift up of 2 units, as y -> y + 2.Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.
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Please show step by step
Answer:
[tex]\begin{pmatrix}6&-5\\ 0&-2\end{pmatrix}[/tex]
Step-by-step explanation:
[tex]2\begin{pmatrix}2&-3\\ 1&-1\end{pmatrix}=\begin{pmatrix}4&-6\\ 2&-2\end{pmatrix}[/tex]
[tex]\begin{pmatrix}4&-6\\ 2&-2\end{pmatrix}+\begin{pmatrix}2&1\\ -2&0\end{pmatrix}[/tex]=
[tex]\begin{pmatrix}6&-5\\ 0&-2\end{pmatrix}[/tex]
Which of the following represents an INEFFICIENT point of production?
a. Point A
b. Point B
c. Point D
d. None
e. Point C
The point that represents an INEFFICIENT point of production is point A.
The correct answer is an option (a)
In this question we have been given a graph of Skateboards vs. Bikes.
We need to find the point that represents an INEFFICIENT point of production.
Inefficient production means the economy can be producing more goods without using any additional resources.
In given production possibility curve, an INEFFICIENT point of production is point A.
Therefore, the point that represents an INEFFICIENT point of production is point A.
The correct answer is an option (a)
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8. If a=-10, b-4, show that a - b ≠ b - a
Given : a = -10 and b = -4
To prove : a - b ≠ b - a
Proof : To put the values according to question,
-10 - (-4) = -4 - (-10)-10 + 4 = -4 + 10-6 ≠ 6Hence verified
According to the 2019 National Coffee Drinking Study from the National Coffee Association, 63% of 2,815 U.S. adults respondents reported drinking coffee in the past 24 hours. Based on these data, a theory-based 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is:
Using the z-distribution, the 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is: (0.61, 0.65).
What is a confidence interval of proportions?A confidence interval of proportions is given by the following rule:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.For this problem, we have a 95% confidence level, hence the [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The estimate and the sample size are given as follows:
[tex]\pi = 0.63, n = 2815[/tex]
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.63 - 1.96\sqrt{\frac{0.63(0.37)}{2815}} = 0.61[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.63 + 1.96\sqrt{\frac{0.63(0.37)}{2815}} = 0.65[/tex]
Hence the 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is: (0.61, 0.65).
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ade A.7 Add and subtract whole numbers: word problems A67
D) Last month, the local grocery store sold 52 cans of cherry soda, 194 cans of orange
soda, and 76 cans of grape soda. How many cans of soda did the grocery store sell in all?
(1)
Submit
cans of soda
322 cans of soda were sold by the grocery store in all.\
Concept: Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.
Given: 52 cans of cherry soda, 194 cans of orange soda, and 76 cans of grape soda.
The total no. of total soda cans sold by the local grocery store is 52+194+76 = 322
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☆
Problem Solving
27. Maura's dance team wants to buy costumes
that cost $56 each. They have $523 saved in a
fund. How much money will they have left in
the fund after they buy 9 costumes?
Answer:
$19
Step-by-step explanation:
56x9=504
523-504=19
Josh buys 6 pencils at the bookstore. Each pencil costs $0.20. How can Josh use the number line to find the total cost of the pencils? A number line from 0 to 2.4 is divided with marks every two-tenths. fill in the blank Numbers may be used once or not at all. 4 1.2$ 1.20 0.66 0.20$1.00 1 $6.00 Start at ____ on the number line. Mark ____ parts that are each___ . Th product ____ represents the total cost, which is ____.
Josh start at 0 on the number line and mark 6 parts that are each 0.20.The product (6 *0.20) represents the total cost which is $1.20 .
What is a number line ?
A number line is a representation of numbers on a line with the marks placed at the line at equal intervals. This marks or scale of line can be chosen as per our requirement.
For example if we scale the number line such that each mark is placed at an interval of number 1 then number 4 will come at 4th mark as each mark is at 1 unit distance with each other .
Given that josh buys 6 pencils at the bookstore and each pencil is of $0.20
Thus, the total cost of pencils = 6 * 0.20 = 1.20
Now on the given number line the numbers starting from 0 and ending at 2.4 and each one is at 2/10=0.2 intervals
Total marks on the line = ( final - initial number )/(length of each interval)
= ( 2.4-0) /(0.2) =12
To find at how many marks total cost would be placed = total cost / interval length = 1.2 / 0.2 = 6
Therefore, when we start from 0 and at 6 marks at this number line our number value will 1.20 that is our total cost.
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What is the correct answer?
Answer:
B
Step-by-step explanation:
The photo is unclear but based on what I saw, -61 is smaller than +61.
Introduction to permutations and combinations
Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green.
(a)
How many ways can this be done, if the order of the choices is taken into
consideration?
(b)
How many ways can this be done, if the order of the choices is not taken into
consideration?
Answer:
(a) 6 choices
(b) 3 Choices
Step-by-step explanation:
Given:
3 Colors
Order of choice : Red, Blue, Green
(a) Order of the choices taken into consideration :
When we are picking the first colour there are 3 color choice.
When we are picking second colour there are 2 choice and so on.
Therefore, total choices are = 3*2 = 6 choices
(b) Order of the choices not taken into consideration :
When to take this option we choose as and the remove the duplicates
Therefore, choices are = = = 3 Choices
Actual lengths of stay at a hospital’s emergency department in 2009 are shown in the following table (rounded to the nearest hour). Length of stay is the total of wait and ser- vice times. Some longer stays are also approximated as 15 hours in this table.
The mean and the variance of the given discrete distribution are as follows:
Mean: 5.0563 minutes.Variance: 7.9365 minutes².What is the missing information?The distribution of waiting times is missing, and is given by the image at the end of the answer.
The question is also incomplete, but it asks for the mean and the variance of the distribution.
What are the mean and the variance of a discrete distribution?The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.The variance is given by the sum of the differences squared between each observation and the mean, multiplied by it's respective probability.Hence, from the distribution off the image, considering the percentages as the probabilities, the mean is given by:
E(X) = 0.0299 x 1 + 0.1026 x 2 + 0.1496 x 3 + 0.2265 x 4 + 0.1581 x 5 + 0.1368 x 6 + 0.0769 x 7 + 0.0214 x 8 + 0.0299 x 9 + 0.0299 x 10 + 0.0385 x 15 = 5.0563 minutes.
Then, considering the mean found above, and it's formula, the variance is given as follows:
V(X) = 0.0299 x (1 - 5.0563)² + 0.1026 x (2 - 5.0563)² + 0.1496 x (3 - 5.0563)² + 0.2265 x (4 - 5.0563)² + 0.1581 x (5 - 5.0563)² + 0.1368 x (6 - 5.0563)² + 0.0769 x (7 - 5.0563)² + 0.0214 x (8 - 5.0563)² + 0.0299 x (9 - 5.0563)² + 0.0299 x (10 - 5.0563)² + 0.0385 x (15 - 5.0563)² = 7.9365 minutes².
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Neil needs to mail a USB drive to a friend. He uses 43-cent stamps and 8-cent stamps to pay $2.01 in postage. How many of each stamp did Neil use?
The cost of the each stamp is a 4$ and the 9$.
According to the statement
We have to find that the cost of the each stamp.
So, For this purpose, we know that the
The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.
From the given information:
Neil needs to mail a USB drive to a friend. He uses 43-cent stamps and 8-cent stamps to pay $2.01 in postage.
Then
48x + 7y = 255
let the value of the two unknowns.
Then
If x = 1, then y = 29.57, which is not a whole number.
If x = 2, then y = 122.71, which is not a whole number.
If x = 3, then y = 15.86, which is not a whole number.
If x = 4, then y = 9, which a a whole number. This is a solution
And we know that the answer will be in a whole number.
So, The cost of the each stamp is a 4$ and the 9$.
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what is the answer-3x+14-11+11x
Answer:
-3x+14
Step-by-step explanation:
ank, the owner of Hank's Hot Dog Hut, deposited $175 this morning from his late-night sales. This afternoon, he deposited another $280 from lunch sales.
Hank added 455.00 more to his bank account. The Total change in Hanks bank account is $455
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that Hank, the owner of Hank's Hot Dog Hut, deposited $175 this morning from his late-night sales. In afternoon, he deposited another $280 from lunch sales.
We need to Just add 175 and 280
175 + 280
455
Therefore, Hank added 455.00 more to his bank account.
Hence The Total change in Hanks bank account is $455
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The complete question is
Hank, the owner of Hank's Hot Dog Hut, deposited $175 this morning from his late-night sales. This afternoon, he deposited another $280 from lunch sales.
What was the total change in Hank's bank account relative to where it started?
Two trains leave the same station at the same time but are headed in opposite directions. One train travels at 80 mph and the other train travels at 65 mph. How much time passes until the trains are 580 miles apart?
a: 4 hours
b : 6.4 hours
c: 7.7 hours
d: 8 hours
e: 38.7 hours
38.7 hours would have passed until the trains are 580 miles apart
How much time passes until the trains are 580 miles apart?The given parameters are
Train 1 = 80 mph
Train 2 = 65 mph
The difference in the speeds of the trains is
d = 80mph - 65mph
Evaluate
d = 15mph
The distance moved is
Distance = 15 * t
At 580 miles apart, we have
15 * t = 580
Divide by 15
t = 38.7 hours
Hence, 38.7 hours would have passed until the trains are 580 miles apart
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can someone please help with this thank u
Answer:
y = {-1/4 for x < -3; +1/4 for x > -3}
see attached for a graph
Step-by-step explanation:
You want the function y = |x+3|/(4x+12) written as a piecewise function and graphed.
Absolute value functionThe absolute value function resolves into two pieces, each with its own domain. These let you write the function as a piecewise function.
(x+3) < 0When (x+3) < 0, the absolute value function negates this value:
y = -(x+3)/(4(x+3)) = -1/4 . . . . . for x < -3
(x+3) ≥ 0When (x+3) ≥ 0, the absolute value function does nothing. That means the equation becomes ...
y = (x +3)/(4(x +3))
When the denominator is zero, the function is undefined. When the denominator is not zero, the function becomes ...
y = 1/4 . . . . . for x > -3
Piecewise functionThen the definition of the piecewise function is ...
[tex]y=\begin{cases}-\dfrac{1}{4},&x < -3\\\dfrac{1}{4},&x > -3\end{cases}[/tex]
The graph is attached.
