The shape of f(x) = |x|, but shifted 12 units up and then reflected in the x-axis
Answers
Answer:
image below
Step-by-step explanation:
Transformation involves changing the position of a function.
The new function is [tex]\mathbf{f"(x) = -|x| - 12}[/tex]
The function is given as:
[tex]\mathbf{f(x) = |x|}[/tex]
When the function is shifted 12 units up,
The rule of transformation is:
[tex]\mathbf{(x,y) \to (x,y+12)}[/tex]
So, the function becomes
[tex]\mathbf{f'(x) = |x| + 12}[/tex]
When the function is reflected in the x-axis,
The rule of transformation is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, the function becomes
[tex]\mathbf{f"(x) = -(|x| + 12)}[/tex]
Expand
[tex]\mathbf{f"(x) = -|x| - 12}[/tex]
Hence, the new function is:
[tex]\mathbf{f"(x) = -|x| - 12}[/tex]
See attachment for the graphs of [tex]\mathbf{f(x) = |x|}[/tex] and [tex]\mathbf{f"(x) = -|x| - 12}[/tex]
Read more about transformations at:
https://brainly.com/question/13801312
Related Questions
Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
Which statement is logically equivalent to q - p?
O If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
O If a student passes geometry class, then the student achieved 90 percent on the geometry final.
O If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
O If a student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.
Answers
Answer:the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Solve the equation -7x - 9 = 19 x =?
Answers
Answer:-4
Step-by-step explanation:
-4 x -7 = 28
28-9=19
Answer:
x=-4
Step-by-step explanation:
We are given the equation:
-7x-9= 19
We want to solve for x. Therefore, we must isolate x on one side of the equation.
9 is being subtracted. The inverse of subtraction is addition. Add 9 to both sides of the equation.
-7x-9+9= 19+9
-7x= 28
x is being multiplied by -7. The inverse of multiplication is division. Divide -7 on both sides.
-7x/-7=28/-7
x= 28/-7
x= -4
Let’s check our solution. Plug -4 in for x and solve.
-7x-9=19
-7(-4)-9=19
28-9=19
19=19
This checks out, so we know our solution is correct.
The solution to the equation -7x-9=19 is x= -4
Need help on this stastic prob question
Answers
A delivery truck company just bought a new delivery truck and they need to know the maximum volume it can carry. In the front of the truck, there is an extra ledge that sticks out over the driver's cab for extra storage space. What is the maximum amount of cargo that can fit into the new truck?
Answers
The image showing the dimensions of the truck in question is missing, so i have attached it.
Answer:
Max amount of cargo that can fit in new truck = 756.39 cu.ft
Step-by-step explanation:
From the diagram attached, we can see that the delivery truck is in the form of a cuboid.
So let's say we extend the perpendicular line from the start of the extra ledge that sticks out to the top of the truck.
This will mean that we have now divided the big truck into 2 different cuboids which we will call C1 and C2.
For C2, We can see that the height is 6' 6", width is 7' 8", length is 14' 3".
Converting the dimensions to inches, we know that, 1 ft = 12 inches
Thus;
6' 6" = (6 × 12) + 6 = 78"
7' 8" = (7 × 12) + 6 = 90"
14' 3" = (14 × 12) + 6 = 174"
Thus, volume of cuboid = Length x width x height
Thus, volume of cuboid 1 is;
V1 = 78 × 90 × 174 = 1221480 cu.inches
Looking at the smaller cuboid C1, the height is 2' 7" and the width remains 7' 8".
To get the length, we have; length = 16' 9" - 14' 3" = 2' 6"
So Converting these to inches gives;
7' 8" = (7 × 12) + 8 = 92"
2' 7" = (2 × 12) + 7 = 31"
2' 6" = (2 × 12) + 6 = 30"
Volume of cuboid 2 is;
V2 = 92 × 31 × 30 = 85560 cu.inches
Total volume = V1 + V2 = 1221480 + 85560 = 1307040 cu.inches
Now, converting cu.inches to cu.ft, we know that;
1 cu.inches = 1/1728 cu.ft
Thus;
1307040 cu.inches = 1307040 × 1/1728 = 756.39 cu.ft
k - 4.8=0.32 - 5.4k answer?
Answers
Answer:
k =4/5
Step-by-step explanation:
[tex]k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}[/tex]
In an average month, Jaden sends 200 texts and talks for 100 minutes. Give the cost for plan A and for plan B. Then tell which plan will cost Jaden the least amount of
money.
Plan A
Jaden has a prepaid phone plan (Plan A) that charges 15 cents for each text sent and 10 cents per minute for calls.
Plan B
Jaden discovers another prepaid phone plan (Plan B) that charges a flat fee of $15 per month, then $.05 per text sent or minute used.
Answers
Answer:
Plan B
Step-by-step explanation:
Let's calculate the amount required for each plan
Plan A0.15*200 + 0.10*100 = $40Plan B15 + 200*0.05 + 100*0.05 = $30As we see Plan B costs less
Hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. What is the smallest number of each that could be purchased so that the customer has the same number of hot dogs and buns? And i'm doing a lesson in school, so i need help with this and what is the answer to it in LCM?
Answers
x
B.
A
с
D
which points are coplanar and noncollinear ?
Answers
Answer:
step by step
Step-by-step explanation:
I dont understand ?? try to re write it
(7,-5) and (2,3)
Find the slope of the two given points
Answers
ΔY
ΔX
=
8
-5
= -1.6
[tex]\int\limits^e_1 {\frac{1}{x\sqrt{1-(logx)^{2} } } } \, dx[/tex]
Answers
For the integral
[tex]I=\displaystyle\int_1^3\frac{\mathrm dx}{x\sqrt{1-(\log x)^2}}[/tex]
(assuming [tex]\log x[/tex] is the natural logarithm with base [tex]e[/tex]) substitute [tex]u=\log x[/tex] and [tex]\mathrm du=\frac{\mathrm dx}x[/tex]. Then the integral is equivalent to
[tex]I=\displaystyle\int_{\log1}^{\log e}\frac{\mathrm du}{\sqrt{1-u^2}}=\int_0^1\frac{\mathrm du}{\sqrt{1-u^2}}[/tex]
Next, substitute [tex]u=\sin t[/tex] and [tex]\mathrm du=\cos t\,\mathrm dt[/tex]:
[tex]I=\displaystyle\int_{\sin^{-1}0}^{\sin^{-1}1}\frac{\cos t}{\sqrt{1-\sin^2t}}\,\mathrm dt=\int_0^{\frac\pi2}\frac{\cos t}{\sqrt{\cos^2t}}\,\mathrm dt[/tex]
We have [tex]\sqrt{x^2}=|x|[/tex] for all [tex]x[/tex], but in the given integration interval, [tex]\cos t\ge0[/tex], so
[tex]I=\displaystyle\int_0^{\frac\pi2}\frac{\cos t}{\cos t}\,\mathrm dt=\int_0^{\frac\pi2}\mathrm dt=\boxed{\dfrac\pi2}[/tex]
(Of course, with a little foresight, you could have immediately combined the two substitutions and started off with letting [tex]\sin u=\log x[/tex].)
what is the square root of 169/196
Answers
Answer:
sqrt 169 is 13
sqrt 196 is 14
Step-by-step explanation:
The square root of the number in the fractional form [tex]\frac{169}{196}[/tex] is the number in fractional form [tex]\frac{13}{14}[/tex].
Given a number:
[tex]\frac{169}{196}[/tex]
It is required to find the square root of the number.
The square root of the fraction can be found by taking the square root of each component and dividing it.
That is:
[tex]\sqrt{\frac{x}{y} } =\frac{\sqrt{x} }{\sqrt{y} }[/tex]
Here, x = 169 and y = 196.
So, this can be written as:
[tex]\sqrt{\frac{169}{196} } =\frac{\sqrt{169} }{\sqrt{196} }[/tex]
[tex]=\frac{13}{14}[/tex]
Hence, the fraction is [tex]\frac{13}{14}[/tex].
Learn more about Fractions here :
https://brainly.com/question/12466813
#SPJ6
The density of a certain material is such that it weighs 6 pounds per pint of volume. Express this density in grams per liter. Round your answer to the nearest whole number.
Answers
Answer:
Density = 4779 grams per liter
Step-by-step explanation:
here we need to convert
pounds to gram
pint to liter
1 pound = 454 grams
1 pint = 0.57 liters
given
density = 6 pounds per pint
now using grams in place of pound and
liter in place of pint we have
density = 6 pounds per pint = 6*454 grams /0.57 liters
density = 2724 pounds/ 0.57 liters = 4778.94 grams / liters
Density when rounded to nearest whole number is 4779 grams / liters
Help me plz
9.7 +-7.3=?
Answers
Answer:
2.4
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
Since 7.3 is negative then 9.7+-7.3 is equal
9.7 - 7.3=2.4
-8(2z - 70)
use z = 5 and c = 2
Answers
Answer:
480
Step-by-step explanation:
So we have the expression:
[tex]-8(2z-70)[/tex]
And we want to evaluate it for z=5 and c=2:
So:
[tex]=-8(2(5)-70)[/tex]
Multiply within the parentheses:
[tex]=-8(10-70)[/tex]
Subtract within the parentheses:
[tex]=-8(-60)[/tex]
Multiply:
[tex]=480[/tex]
Answer:
480
Step-by-step explanation:
-8( 2(5) - 70)
-8 ( 10 - 70)
-80 + 560
480
how to solve 10×1000/100
Please explain step by step
Answers
Answer:
first divide 1000 by 100 and then multipy the result with 10
Step-by-step explanation:
Solve the literal equation for the given variable
n =4/5(m+7); m
Answers
Answer:
[tex]m = \frac{5n}{4} - 7[/tex]Step-by-step explanation:
[tex]n = \frac{4}{5} (m + 7)[/tex]First of all multiply both sides by 5
That's
[tex]5n = 5 \times \frac{4}{5} (m + 7) \\ 5n = 4(m + 7)[/tex]Next divide both sides by 4
That's
[tex]m + 7 = \frac{5n}{4} [/tex]
Subtract 7 from both sides to make m stand alone
We have
[tex]m + 7 - 7 = \frac{5n}{4} - 7[/tex]We have the final answer as
[tex]m = \frac{5n}{4} - 7[/tex]Hope this helps you
Find the product and simplify your answer.
-9x2(-3x5 + 5x - 5)
W
Answers
Answer:
In simplest/simplified form and in descending order, your answer would be -18x^3 + 45x^2. Hope this helps!
Step-by-step explanation:
Joey's lunch at a restaurant cost $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip, without tax?
Answers
If it takes Tanya 4.6 hours to get to her cousin's house while driving an average of 40 mph, how far away does her cousin live?
Answers
Explanation: In this problem you need to solve for the distance, and you are given speed and time. With this information, we need to use the speed formula which is s=d/t where s=speed, d=distance, and t=time
Next all you have to do is plug in your values, which should look like this-
40=d/4.6
Now that you have your equation, you must solve for d to get your distance by isolating d to one side of the equation. You do this, by multiplying 4.6 on each side of the equation.
This is what the math should look like-
(4.6)40=d/4.6(4.6)
184=d
d= 184 miles
I hope this helped!
Robot 1 is at Asteroid U. Calculate the distance between U (38,22) and W (55,30) to the nearest thousandths, then add a driveDistance block to drive the robot to Asteroid W.
Answers
Answer:
When we have two vectors:
A = (a1, a2)
B = (b1, b2)
The distance between these two vectors is:
D = √( (a1 - b1)^2 + (a2 - b2)^2)
In this case, the vectors are:
U = (38, 22) and W = (55, 30)
The distance between U and W is:
D = √( (38 - 55)^2 + (22 - 30)^2 )
D = √( 289 + 64) = √353 = 18.7882
We want to round it to the nearest thousandths (the third digit to the right of the decimal point).
Then we must look at the next one (the fourth)
if the fourth digit is 5 or smaller, we round down
if the fourth digit is larger than 5, we round up.
We can see that in 18.7882 the fourth digit after the decimal point is a 2, so we round down, then the distance between U and W is:
D = 18.788
Now i guess that you want a line that connects U with W so the robot can follow it,
To find the line you can use a linear relation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
So we want a line that passes through the points U and W, the slope of this line will be:
a = (30 - 22)/(55 - 38) = 0.47
Then the equation is:
y = 0.47*x + b
to find the value of b, we know that this line passes through the point (38,22) then:
y = 22 = 0.47*38 + b
b = 22 - 0.37*38 = 7.94
The line that can use the robot to go from U to W is:
y = 0.47*x + 7.94
please help me once more! I only need the answer to D. The value of x is 10.
Answers
Solve for y. 6y=y+25
Answers
Answer:
6y =y+25
6y-y=25
5y=25
y=25/5
y=5
hope that helps: )
Answer:
y = 5
Step-by-step explanation:
[tex]6y=y+25[/tex]
Subtract y from both sides ;
[tex]6y-y=y+25-y[/tex]
Simplify ;
6y - y = 5y
y -y =0
[tex]5y=25[/tex]
Divide both sides by 5
[tex]\frac{5y}{5}=\frac{25}{5}[/tex]
Simplify
[tex]y =5[/tex]
solve for x : 3 ( x + 1 ) = 2 ( x - 1 )
Answers
Answer:
-5
3 ( -5 + 1 ) = 2 ( -5 - 1 ) = 0
They both equal negative 12
Pls answer this is due by tomorrow so I need help ASAP
Answers
5/6 = 0.83333... (Repeating)
2/11 = 0.181818... (Repeating)
17/20 = 0.85 (Terminating)
For the number system diagram, from smallest box to larges, it would be natural numbers, whole numbers, and integers, rational numbers, then real numbers. And irrational numbers off to the side, but considering you only have 3 boxes then put the first 3 I mentioned.
It is definetly possible for a number to be both whole and an integer. As long as it's not a fraction, decimal, or negative value.
Help me please I’ll give you brainliest
Answers
Answer:
i think the answer is a
Step-by-step explanation:
Which expression is equivalent to -2 1/4 divided by -2/3
Answers
Answer:
27/8 or 3 3/8, 3.375, (3/2)^3
Step-by-step explanation:
convert the mixed number to an improper fraction-9/4 divided by -2/3
dividing two negatives equals a positive; (-) + (-) = (+)9/4 divided by 2/3
to divide by a fraction, multiply by the reciprocal of the fraction( flip, keep, change )9/2 x 3/2
URGENT!! 25 points. help on C please. this assignment is already late
Answers
Answer:
[tex]7+(11-4\times 2)=10[/tex]
Step-by-step explanation:
So, this question involves you to play around with the numbers and the operations a bit. I've come up with a solution, but perhaps there are others as well.
So, we have:
[tex]7\text{ } 11\text{ } 4\text{ } 2\text{ } =\text{ } 10[/tex]
So, what we can do is, for instance, multiply 4 and 2. Subtract that into 11. And then add the difference to 7. Thus:
[tex]7+(11-4\times 2)=10[/tex]
This is a true number sentence. Let's do it to make sure.
First, do the operations inside the parentheses.
Multiplication comes first, so multiply:
[tex]7+(11-8)=10[/tex]
Again, do the parentheses first. Subtract:
[tex]7+(3)=10[/tex]
Now add:
[tex]10=10[/tex]
So our answer is correct :)
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x h(g(f(x))) = x² + x +
Answers
Answer:
[tex]\Large \boxed{h(g(f(x)))=-8x^2-40x-50}[/tex]
Step-by-step explanation:
[tex]f(x)=2x+5 \\\\ g(x)=x^2 \\\\h(x)=-2x[/tex]
[tex]h(g(f(x)))=-2((2x+5)^2)[/tex]
Expanding and solving for brackets.
[tex]h(g(f(x)))=-2(4x^2+20x+25)[/tex]
Distributing -2 to the terms in the brackets.
[tex]h(g(f(x)))=-8x^2-40x-50[/tex]
Answer:
-8x^2 - 40x - 50
Step-by-step explanation:
f(x) = 2x + 5
g(x) = x^2
h(x) = -2x
h(g(f(x))) =
First find g(f(x))
g(f(x)) = (2x+5) ^2 = 4x^2 + 10x + 10x +25
= 4x^2 + 20x + 25
The stick this in for g(f(x)
h(g(f(x))) = -2 (4x^2 + 20x + 25)
= -8x^2 - 40x - 50
During the summer, you charge people $8 per hour for babysitting and a $10 fee for traveling to their home. If you made $130 last weekend, how many hours did you spend babysitting?
Answers
let y = total $ made
y = 8x + 10
130 = 8x + 10
120 = 8x
x = 15
Therefore she babysat for 15 hours.
Answer:
15
Step-by-step explanation:
lets make an equation and solve it (its easier)
130=8x+10
130-10=8x
120=8x
x=120/8=15 hours
Rachael bought a snorkel and ear plugs for shallow diving. The snorkel cost \$27.69 , and the ear plugs cost \$2.19 . The sales tax of both items was Rachael paid with 2 twenty-dollar bills. How much change did she receive?
Answers
Answer:
The answer is 10.12
Step-by-step explanation:
You add both numbers together and then subtract the sum to the 40 dollars