[tex]y=|\dfrac{1}{2}x-2|+3[/tex]
Since we are translating this graph one unit to the right, replace x with (x-1)
Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)
[tex]y=|\dfrac{1}{2}(x-1)-2|+3[/tex]
After simplifying, we now have the following equation:
[tex]=|\dfrac{1}{2}x-\dfrac{5}{2}|+3[/tex]
This is the new equation. Let me know if you need any clarifications, thanks!
Answer:
we are given
y=|2x|-1
we are given to translate this equation
Whenever we translate any function to right side by 'c' units
we can replace x as x-c
Here , we have to translate one unit right
so, we can replace x as x-1
and we get
y=| 2( x-1 ) | 1
Hope this helps <3
Rachel made $110 for 5 hours of work. At the same rate, how many hours would she have to work to make $264 ?
Answer: she needs to work 8 hours
Step-by-step explanation:
The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height. Assuming the trunk is at least 96 inches deep can the tv fit into the trunk? Explain
Answer:
It states that assuming the trunk is 96" long. So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.
Step-by-step explanation:
The length of the diagonal of the trunk is 56.356011 inches.
What is Pythagoras Theorem?A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.
Given:
height of the trunk= 26 inches
length of the trunk= 50 inches
using Pythagorean theorem,
diagonal length of the trunk=√(height² +length²)
=√(26²+50²)
=√3176
=56.356011 inches
Hence, the length of the diagonal of the trunk is 56.356011 inches.
Learn more about this concept here:
https://brainly.com/question/17106915
#SPJ2
Please help me on this question
Answer:
x = [tex]\frac{k(a+r)}{7}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{7x}{k}[/tex] - r ( add r to both sides )
a + r = [tex]\frac{7x}{k}[/tex] ( multiply both sides by k to clear the fraction )
k(a + r) = 7x ( divide both sides by 7 )
[tex]\frac{k(a+r)}{7}[/tex] = x
Answer:
ak - kr k(a - r)
x = -------------- or x = ------------
7 7
Step-by-step explanation:
1. Multiply all three terms by k to eliminate the fraction:
ak = 7x - kr
2. Subtract kr from both sides:
7x = ak - kr
3. Divide both sides by 7:
ak - kr k(a - r)
x = -------------- or x = ------------
7 7
The function h is defined by h (x) = x^2 +5.
Find h (4a).
????
Answer:
16a^2+5
Step-by-step explanation:
Gary runs a recycling centre for a local charity.
New staff have to take part in 7 hours of training before they can
work at the centre,
Gary needs to arrange a training programme for new staff.
The training programme will start on Monday 5th September
Each training day:
1) starts at 10 am and must finish by 5 pm
2)has sessions in 2 hour blocks which include a 15 minute
break
3)has a 1 hour break for lunch
The 15 minute breaks and
lunch do not count towards the 7 hours of training
At the end of the training there will be a 90 minute assessment.
Gary needs to know the least number of days he needs to allocate
for the 7 hours of training and the assessment.
Plan a training programme for Gary.
Show the start and finish times for the sessions on your plan.
Answer:
Just use 2 days
Step-by-step explanation:
Train for 2
Break
Train for 2
Break
Lunch
Day 2:
Train for 2
Break
Lunch
Exams
100 POINTS!The number of pizzas sold in one weekend at Pete's Pizzas is shown. Pie chart of pizza sales. Data includes: 130 hamburger, 175 pepperoni, 60 cheese, and 35 veggie. a) If Pete's sales remain consistent, how many pepperoni pizzas will he have sold when the total number of pizzas sold reaches 1600? b) How would the circle graph be different if Pete had sold 200 pepperoni pizzas, 100 hamburger pizzas, 50 veggie pizzas, and 50 cheese pizzas?
Answer:
A) [tex]\boxed{\sf 700 \ pepperoni \ pizzas}[/tex]
B) See the attached file!
Step-by-step explanation:
Total pizza sales in the pie chart = 175+60+35+130
=> 400 total Pizzas
Out of these 400, there are 175 pepperoni pizzas
So,
Pepperoni Pizzas = 175/400 = 7/16 (Simplest form)
So,
Among 1600 pizzas, pepperoni pizzas would be:
=> [tex]\frac{7}{16} * 1600[/tex]
=> 7 * 100
=> 700 pepperoni pizzas
Part B)
See the attached file:
Answer:
[tex]\sf a) \ 700 \\ b) \ \sf view \: attachment[/tex]
Step-by-step explanation:
Part A:
Calculate the total parts:
[tex]130+175+60+35[/tex]
[tex]=400[/tex]
Out of 400 pizzas, 175 are pepperoni.
[tex]\frac{175}{400}[/tex]
The sales remain constant, if the total number of sold pizzas reaches 1600 then:
[tex]\frac{175}{400} \times 1600[/tex]
[tex]=700[/tex]
Out of the 1600 pizzas sold, 700 would be pepperoni.
Part B:
(attachment)
Pepperoni pizza:
[tex]\frac{200}{200+100+50+50} =\frac{1}{2}[/tex]
Hamburger pizzas:
[tex]\frac{100}{200+100+50+50} =\frac{1}{4}[/tex]
Veggie and cheese pizzas:
[tex]\frac{50}{200+100+50+50} =\frac{1}{8}[/tex]
A bag contains 5 blue marbles, 2black marbles ,and 3 red marbles. A marine is randomly drawn from the bag The probability of not drawing a black marble is___ . The probability of drawing a red marble is____
Answer:
80%; 30%
Step-by-step explanation:
There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.
There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of not drawing a black marble is 8/10 or 4/5 or 80%.
There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.
how do you solve this
Answer:
[tex](a).\:\:\int _1^{-1}3f\left(x\right)dx\:=-12[/tex] is the final answer.
Step-by-step explanation:
See the attachment below.
Best Regards!
Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200
Answer:
$1500
Step-by-step explanation:
It is given that
Rent = $100
Groceries and drinks = $1000
Insurance premiums = $10
Loan interest payment =$30
Clothes = $200
Utilities = $300
Home security fee = $200
Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.
In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.
Groceries and drinks, clothes and utilities are variable cost.
So, total variable cost for last month is
[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]
Therefore, total variable cost for last month is $1500.
Answer:
$1500
Step-by-step explanation:
I just took the test and got it right
Can someone answer a-c please!
Each statement describes a transformation of the graph of y= In x. Which statement correctly describes the graph of y= In(x - 7) + 3?
Α.
It is the graph of y = In x translated 3 units up and 7 units to the left.
B.
It is the graph of y= In x translated 7 units down and 3 units to the right.
C.
It is the graph of y = In x translated 7 units up and 3 units to the right.
D.
It is the graph of y=In x translated 3 units up and 7 units to the right.
Answer:Answer: THE ANSWER IS
A)
What is the measure of Angle X W Y? Triangle X W Y. The exterior angle to angle W is 74 degrees. 16 degrees 74 degrees 106 degrees 116 degrees
The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.
Answer:
the answer is 74
Step-by-step explanation:
i did the cumulative test
Find the smallest four digit number which Is divisible by 18 24 and 32
Answer:
The smallest four digit number divisible by 18, 24, and 32 is 1152.
Step-by-step explanation:
The LCM of the 3 numbers are 288
Then, the smallest four-digit number would equal 1152 (288*4)
Take L.C.M. of 18,24,32= 288
Resulting in 1152 :)
Can you pleease help ill mark as brainliest
Answer:
Step-by-step explanation:
(will give brainliest) Find the area of the shaded regions.
Answer:
84.78cm^2
Step-by-step explanation:
first we do pi*r^2.
3.14*6^2=113.04
Then, because we know that 1/4 of the circle is missing, just multiply 113.04 by .75.
113.04*.75=84.78cm^2
Answer:
84.78cm^2
Step-by-step explanation:
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
====================================================
Work Shown:
T = tens digit of the original number
U = units digit of the original number
U+T = 10 since the digits add to 10. Solve for U to get U = 10-T
10T+U = original number
10U+T = new number where digits are reversed
-----------
new number = (old number) + 36
10U+T = (10T+U)+36
10U+T = 10T+U+36
10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T
100-10T+T = 10T+10-T+36
-9T+100 = 9T+46
100-46 = 9T+9T
54 = 18T
18T = 54
T = 54/18
T = 3 is the tens digit of the original number
U = 10-T
U = 10-3
U = 7 is the units digit of the original number
10T+U = 10*3+7 = 30+7 = 37 is the original number
73 is the reversed number.
73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.
Answer:
37
Step-by-step explanation:
describe the y-intercept in terms of knots and rope length
Answer:
what is the y-intercept sorry i can't help there isn't enough information
Step-by-step explanation:
Convert 18 ft to yards
Answer:
6 yds
Step-by-step explanation:
We know there are 3 ft in 1 yd
Divide by 3 ft
18 ft / 3 ft = 6 yds
Answer:
6 yards
Step-by-step explanation
1 yard= 3 feet
Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD is ___. The point ____ lies on CD.
Answer:
y = -x + 17
Step-by-step explanation:
A(-10,-3)
B(7,14)
C(5,12)
Need line CD perpendicular to AB through C.
Solution:
slope of AB, m1 = (yb-ya) / (xb-xa) = (14- -3) / (7- -10) = 17/17 = 1
Slope of CD, m2 = -1/m1 = -1 / 1 = -1
Line CD through C, using the point slope form
y-yc = m2(x-xc)
y-12 = -1 (x-5)
rearrange
y = -x + 5 + 12
y = -x + 17
Answer:
x intercept of CD is (17, 0)
Point (-2, 19) lies on CD
Step-by-step explanation:
Write a linear equation in point-slope form for the line that goes through
(-1,1) and (1,-5).
A. y+1 = -3(x+1)
B. y-1 = 3(x+1)
C. y+ 1 = 2(x - 1)
D. y-1=-3(x + 1)
Answer:
y -1 = -3(x+1)
Step-by-step explanation:
First find the slope
(-1,1) and (1,-5)
m = (y2-y1)/(x2-x1)
= (-5-1)/(1--1)
=-6/ (1+1)
= -6/2
= -3
We are using point slope form
y-y1 = m(x-x1) where m is the slope
y - 1 = -3( x - -1)
y -1 = -3(x+1)
Answer:
The answer is option D.
Step-by-step explanation:
Equation of a line is y= mx + c
where m is the slope
Slope of the line using points
(-1,1) and (1,-5) is
[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]
Therefore the equation of the line using point (-1,1) is
y - 1 = - 3( x + 1)Hope this helps you
What does 3 3/5 * 2 5/7 equal
Hey there! I'm happy to help!
First, let's turn these into improper fractions. We keep the denominators and to find the new numerator you multiply the denominator by the whole number and add then numerator.
[tex]\frac{18}{5} *\frac{19}{7} =\frac{342}{35} =9\frac{27}{35}[/tex]
Therefore, the answer is 9 27/35. Now you can multiply mixed numbers!
Have a wonderful day!
Answer:
As a mixed number the answer to your question will be 9 27/35 or 6 3/7
The steps will be below.
Step-by-step explanation:
You first have to convert theses mixed numbers to fractions.
3 3/5 ,multiply the 5x3=15 and add the 3 which will be 18/5.
Since we converted 3 3/5 to a fraction now it’s 2 5/7 turn!
2 5/7 will be 19/7 because 7x2=14 and 14+5 will give us 19/7.
Finally since we have our two fractions (18/5) and (19/7), it’s time to find the answer!
Now if we multiply both of the factions we get the answer.
18/5 X 19/7
= 9 27/35 or 6 3/7
(For 6 3/7 we have to multiply the whole numbers and the fractions to get that answer)
Hope this helps!
Figure
(С Е
Which combinations of transformations will always produce congruent figures? Check all that apply.
a dilation, followed by a rotation
a reflection, followed by a dilation
a rotation, followed by a translation
a translation, then a rotation, followed by a stretch
O a translation, followed by two reflections
O O O O O
Answer:
a rotation, followed by a translationa translation, followed by two reflectionsStep-by-step explanation:
The rigid motions are the transformations that produce congruent images.
There are three main kinds of rigid motions :
Reflections : Flips a figure across a line of reflection. Rotations : Rotates a figure about some degrees around a center point. Translations : Moves figure on a plane about some distance in a certain direction.But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.
So, the options having dilation and term "stretch" cannot produce congruent figures.
Hence, the correct options are :
a rotation, followed by a translationa translation, followed by two reflectionsWhich relation is a function? Coordinate grid with graph of a vertical line at x equals 3. A coordinate grid with graph of a curve that increases through the third quadrant through the origin and exits the first quadrant A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin.
Answer:
the answer is "A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin"
I took the test. Good luck!
A function is a coordinate grid containing a U shape with arrows on both ends that opens to the right, and in which the bottom portion of the U passes through the origin.
A function is a rule that connects outputs to each value. The relationship between value and output is often described with a mathematical formula, where the value is represented by one or more variables, alternatively by a table or graphically by a graph, a relationship diagram or an arrow diagram.
An important property of functions is that they are deterministic (that is, consistent, so that each value always gives the same value). This means that the function can be seen as a machine, which systematically delivers output values as soon as input values are inserted.
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please help on this question I will mark you as brainlist
Answer:
7, 10, 15, 22, .... 106
3, 12, 27, 48, .... 300
Step-by-step explanation:
Plug n as 1, 2, 3, 4, and 10 to find the terms.
(a)
1² + 6
1 + 6 = 7
2² + 6
4 + 6 = 10
3² + 6
9 + 6 = 15
4² + 6
16 + 6 = 22
10² + 6
100 + 6 = 106
(b)
3(1)²
3(1) = 3
3(2)²
3(4) = 12
3(3)²
3(9) = 27
3(4)²
3(16) = 48
3(10)²
3(100) = 300
Answer:
a) n²+6
U1 = 1²+6 = 1+6=7
U2= 2²+6 = 4+6 = 10
U3= 3³+6= 9+6= 15
U4= 4²+6= 16+6 = 22
U10= 10²+6 = 100+6= 106
So= 7, 10, 15, 22,... 106
b) 3n²
U1= 3(1)²= 3(1)= 3
U2= 3(2)²= 3(4) = 12
U3= 3(3)²= 3(9)= 27
U4= 3(4)²= 3(16)= 48
U10= 3(10)²= 3(100)= 300
So= 3, 12, 27, 48,..., 300
Plz help meeee -28=n(-7)
Answer:
n=4
Step-by-step explanation:
-28 divided by -7 is 4
Answer:
4
Step-by-step explanation:
divide -7 on both sides
-28/-7=4
What is 10^4 in standard notation
Answer:
10,000
Step-by-step explanation:
Standard notation is just the normal way of writing things. 10 x 10 x 10 x 10 = 10,000.
write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind only 260 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air. please show step by step
Answer:
Plane speed = 40 m/s.
Wind speed = 300 m/s.
Step-by-step explanation:
Let the speed of the plane = Y
And the speed of the wind = X
If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,
X + Y = 340 ..... ( 1 )
Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,
X - Y = 260 ..... ( 2 )
Solve the two equations simultaneously by addition. That will eliminate Y
X + Y = 340
X - Y = 260
2X = 600
X = 600/2
X = 300 m/s
Substitutes X in equation (1)
300 + Y = 340
Make Y the subject of formula by collecting the like terms
Y = 340 - 300
Y = 40 m/s
Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.
A prism has a volume of 238 cubic millimeters. Which is the correct substitution for finding the length of the prism?
Answer:
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
Step-by-step explanation:
A prism has a volume of 238 cubic millimeters.
A prism has a length of l millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters.
Which is the correct substitution for finding the length of the prism?
A. V = l w h. 238 = l + 8 and one-half + 3 and one-half
B. V = l w h. V = 238 times 8 and one-half times 3 and one-half
C. V = l w h. l times 8 and one-half times 3 and one-half
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
From the question
V=lwh
Volume of a prism=length)(width)(height)
Volume=238
l= l mm
w= 8 1/2
h= 3 1/2
Substituting all the values
V=lwh
238= l * 8 1/2 * 3 1/2
D. V = l w h. 238 = l times 8 and one-half times 3 and one-half
Answer:
D
Step-by-step explanation:
got it right on edge 2020
One student ate 3/20 of all candies and another 1.2 lb. The second student ate 3/5 of the candies and the remaining 0.3 lb. What weight of candies did they each eat? PLEASE HELP!!
Let the total weight of the candy = x
We know the total weight is:
X = 3/20x + 1.2 + 3/5x+ 0.3
Simplify:
X= 3/20x + 1.2 + 12/20x + 0.3
X = 15/20x + 1.5
Subtract 15/20x from both sides:
5/20x = 1.5
Divide both sides by 5/20:
X = 1.5 / 5/20
X = 6
Total = 6 pounds.
Brendon is walking home from a place that is 1.5 miles away. The function y = 7,920 − 270x represents Brendon’s distance in feet from home, y, in relation to the number of minutes he walks, x. Bryan is also walking home. Every 15 minutes, he writes down the number of feet left to reach home, as shown in the table.
Minutes
Feet
0
8,000
15
3,800
Which statements about this situation are true?
Brendon walks faster.
Bryan walks faster.
Brendon and Bryan walk at the same speed.
Brendon was farther away from home when he started walking.
Bryan was farther away from home when he started walking.
Brendon and Bryan were an equal distance from home when they started walking.
Answer:
Bryan walks faster
Bryan was farther away from home when he started walking.
Step-by-step explanation:
Given the following :
Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'
y = 7,920 − 270x
For bryan:
Minutes (x) - - - 0 - - - - - 15
Feet ( y) - - 8000 - - - 3800
General form of a linear equation :
y = mx + C
m = gradient / slope
m = (y2 - y1) / (x2 - x1)
m = (3800 - 8000) / (15 - 0)
m = -4200 / 15 = - 280
Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)
Therefore,
Bryan's model:
y = 8000 - 280x
Comparing both functions :
Bryan has a greater speed ( from the gradient)
Bryan was farther away from home when he started walking ( intercept )
Answer:
Answer:
Bryan walks faster
Bryan was farther away from home when he started walking.
Step-by-step explanation:
Given the following :
Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'
y = 7,920 − 270x
For bryan:
Minutes (x) - - - 0 - - - - - 15
Feet ( y) - - 8000 - - - 3800
General form of a linear equation :
y = mx + C
m = gradient / slope
m = (y2 - y1) / (x2 - x1)
m = (3800 - 8000) / (15 - 0)
m = -4200 / 15 = - 280
Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)
Therefore,
Bryan's model:
y = 8000 - 280x
Comparing both functions :
Bryan has a greater speed ( from the gradient)
Bryan was farther away from home when he started walking ( intercept )
Step-by-step explanation: