Answer:
Start with the parent function y=1/x^2
Add 3 to x in the denominator, because the graph is shifted left 3.
Add 1 to the fraction, because the graph is shifted up 1 unit
Step-by-step explanation:It is the answer 100% on assignment
The formula for working out the cost of hiring a canoe is : cost=£15+6* number of hours. Megan paid £27 to hire a canoe. How long did she hire the canoe for
Answer:
Megan hired the canoe for 2 hours
Step-by-step explanation:
Given:
Cost(h) = 6h+15 = 27
Solution
6h+15 = 27
6h = 27-15 = 12
h = 2
help with pre algebra
Answer:
The y-axis.
Step-by-step explanation:
This is because it is mirroring across the y-axis, and the x-coordinate's sign is getting changed from positive to negative.
Answer:
Y-axis
Step-by-step explanation:
B is a reflection of point A across theY-axis. The vertical line is Y and the horizontal line is X.
ASAP! PLEASE help me with this question! I am really stuckk...
Answer:
8 pi cm^2
Step-by-step explanation:
To answer this question, what we need firstly is the name of the cross section that results from slicing a sphere into half.
The cross section that results is called a hemisphere, which is half the size of the sphere.
But before we can calculate the area of the new cross section, we will need the radius of the original shape.
This is obtainable from the volume of the shape.
Mathematically;
Volume of a sphere = 4/3 * pi * r^3
32/3 * pi = 4/3 * pi * r^3
We can take off pi/3 from both sides so we are left with;
32 = 4r^3
Divide through by 4
r^3 = 8
r is the cube root of 8 = 2 cm
Now we find the area of the hemisphere
Mathematically, the area of a hemisphere is 2 * pi * r^2
using the value of r = 2 cm given above, we have
Hemisphere area = 2 * pi * 2^2 = 8pi cm^2
Can an absolute value function also be a polynomial function? Why or why not?
Answer:
For this case a polynomial is defined with the following expression:
[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite
And by definition the absolute value function is defined as:
[tex] |x|= x, x \geq 0[/tex]
[tex] |x| =-x , x<0[/tex]
If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:
An absolute value function CANNOT be considered as a polynomial function
Step-by-step explanation:
For this case a polynomial is defined with the following expression:
[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite
And by definition the absolute value function is defined as:
[tex] |x|= x, x \geq 0[/tex]
[tex] |x| =-x , x<0[/tex]
If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:
An absolute value function CANNOT be considered as a polynomial function
what describes the transformation of g(x)=3(2)-x from the parent function f(x)=2x
Answer:
Reflect across the y-axis, stretch the graph vertically by a factor of 3
Step-by-step explanation:
The question has certain errors, in fact the functions are the following:
g (x) = 3 * (2) ^ - x
f (x) = 2 ^ x
The transformation that we can do to obtain the translated graph, Are given in 2 steps, which are the following:
1. When x is replaced by -x, then it reflects the graph on the y axis.
2. 3 multiplies with the function, it means that it stretches the main function vertically in 3 units.
So to summarize it would be: Reflect across the y-axis, stretch the graph vertically by a factor of 3
what is the expression in radical form (2m^2n)^3/2
Answer:
sqrt[(2m^2n)^3]
Step-by-step explanation:
So let's break down the exponent. The top number represents the number of times the term is repeated. The bottom number represents the root to be taken of the final product. With this in mind, let's rewrite this expression.
(2m^2n)^3/2
= [(2m^2n)^3]^1/2
Notice we have 3 of the (2m^2n) terms, but they are all under the 2nd root (aka a square root).
So now, we'll rewrite this into the radical form.
sqrt[(2m^2n)^3]
I hope this helps.
Cheers.
Which statements about the hyperbola are true? Check
all that apply.
There is a vertex at (-3, 6).
The center of the hyperbola is at (-3,5).
There is a vertex at (-5,5).
The transverse axis is vertical.
The directrices are horizontal lines
Answer:
Options (1), (2), (4) and (5) are correct.
Step-by-step explanation:
Characteristics of the given hyperbola,
1). Vertex of the given hyperbola are at (-3, 6) and (-3, 4).
2). Since center of a hyperbola is the center of a line joining vertices of the hyperbola,
Center of the given parabola will be,
[tex](\frac{-3-3}{2},\frac{6+4}{2})[/tex] ⇒ (-3, 5)
3). Vertical line joining the foci of the hyperbola is the transverse axis.
4). A line perpendicular to the transverse axis and passing through the center will be the conjugate axis.
5). Directrices of a horizontal hyperbola are the horizontal lines.
Therefore, Options (1), (2), (4) and (5) are correct.
Answer:
check photo. <3
Step-by-step explanation:
Jennifer invested $302 in a simple interest account. The account earns 3.3%/year how much will Jennifer have in her account in 10 months??
Answer: $310.31
Step-by-step explanation:
Invested amount (P) = $302
Interest rate (r) = 3.3% per year
Period = 10 months
Recall, simple interest formula :
A = P(1 + rt) where ; A = final amount
Interest = 3.3% = 3.3/ 100 = 0.033
A = $302 ( 1 + 0.033(10/12))
A = $302 (1 + 0.033(0.8333333))
A = $302 ( 1 + 0.0275)
A = $302 ( 1. 0275)
A = $310.305
A = $310.31
A dilation has center (0, 0). Find the image of each point for the given scale factor. C(3, -6); D(5/3) (C)
A. (-10, 5)
B. (18/5, 9/5)
C. (5, -10)
D. (9/5, 18/5)
Answer: C. (5, -10)
Step-by-step explanation:
When we have a point (x, y) and we do a dilation around (0,0) with a scale factor of A.
The new point will be:
(A*x, A*y)
in this case, the point is (3, -6) and the scale factor is (5/3)
Then the new point will be:
(3*(5/3), -6*(5/3)) = (5, -10)
What is the value of discontinuity of x^2+8x+4/x^2-x-6? Choices:
Answer:
-2
Step-by-step explanation:
Hello,
First of all, let's check the denominator.
[tex]x^2-x-6 \ \ \text{ *** How to factorise it ...? ***}\\\\\text{*** The product of the roots is -6=-2*3 and their sum is 1 ***}\\\\x^2-x-6=x^2-3x+2x-6=x(x-3)+2(x-3)=(x+2)(x-3)[/tex]
Now, let's see the numerator.
[tex]x^2+8x+4 \ \text{ *** -2 is not a zero as ***}\\\\(-2)^2+8*(-2)+4=4-16+8=-4\\\\\text{*** 3 is not a zero as ***}\\\\3^2+8*3+4=9+24+4=37\\[/tex]
So we cannot factorise the numerator with (x+2) or (x-3)
Then, -2 and 3 are the the discontinuities of the expression.
There is only -2 in the list, this is the correct answer.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
ese
i). nx n2 =343 (2mks)
I
Answer:
Are you asking what the value of x is if [tex]n^{x} * n^2 = 343[/tex] ?
Step-by-step explanation:
If an object is propelled upward from a height of 72 feet at an initial velocity of 90 feet per second, then its height h after t seconds is given by the equation h = − 16 t 2 + 90 t + 72 . After how many seconds does the object hit the ground?
Answer:
6.34 seconds.
Step-by-step explanation:
The object will hit the ground when h = 0.
-16t^2 + 90t + 72 = 0
8t^2 - 45t - 36 = 0
We can then use the quadratic formula to solve.
[please ignore the A-hat; that is a bug]
[tex]\frac{45±\sqrt{45^2 - 4 * 8 * -36} }{2 * 8}[/tex]
= [tex]\frac{45±\sqrt{2025 + 1152} }{16}[/tex]
= [tex]\frac{45±\sqrt{3177} }{16}[/tex]
= [tex]\frac{45±56.36488268}{16}[/tex]
(45 - 56.36488268) / 16 = -0.7103051678
(45 + 56.36488268) / 16 = 6.335305168
Since the time cannot be negative, the object will hit the ground after about 6.34 seconds.
Hope this helps!
Which equation can be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m – 9) = 108
Answer:
m(m-3)=108
Step-by-step explanation:
Complete question below:
Two positive integers are 3 units apart on a number line. Their product is 108.
Which equation can be used to solve for m, the greater integer?
m(m – 3) = 108
m(m + 3) = 108
(m + 3)(m – 3) = 108
(m – 12)(m – 9) = 108
Solution
On the number line,
Let
m= larger integer
The integers are 3 numbers apart on the number line, so
m-3=smaller integer
The product (×) of the larger and smaller integers=108
(m)*(m-3)=108
m(m-3)=108
Therefore, the equation that can be used to solve for m, the larger integer is:
m(m – 3) = 108
Answer:
its a
Step-by-step explanation:
XD
Please answer this question now
Answer: S = 8.9 or just 9
Step-by-step explanation:
Given the coordinates for the function below, which of the following are
coordinates for its inverse?
Gallons Cost, in
of Gas Dollars
1
2
5
15
20
1.25
2.50
6.25
18.75
25.00
The coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)
How to determine the inverse coordinates?The table of values is given as:
Gallons Cost
1 1.25
2 2.50
5 6.25
15 18.75
20 25.00
The inverse of the above table would have the following header
Cost Gallons
When the inverse table is populated, we have:
Cost Gallons
1.25 1
2.50 2
6.25 5
18.75 15
25.00 20
The coordinates are: (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)
Hence, the coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)
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I NEED HELP FAST OR I WILL FAIL!!! What is the approximate solution to the system of equations? Y=x+1, y=3x-2 (-.33, -1.33) (1.4, 2.5) (-.67, .25) (0, 1.5)
Answer:
(1.4, 2.5)
Step-by-step explanation:
[tex]y = x + 1[/tex] ... equ 1
[tex]y =3x - 2[/tex] ... equ 2
subtract equ 1 from 2, we'll have
[tex]0 = 2x - 3[/tex]
[tex]2x = 3[/tex]
[tex]x= 3/2 = 1.5[/tex]
substitute the value of [tex]x[/tex] in equ 1, we'll have
[tex]y = 1.5 +1[/tex]
[tex]y = 2.5[/tex]
therefore, solution to the system of the equation is (1.5, 2.5)
the closest in your option is (1.4, 2.5)
x: 13, 17, 21, 25 y: 0, 6, 12, 18 is the relationship linear, exponential or neither
━━━━━━━☆☆━━━━━━━
▹ Answer
Linear
▹ Step-by-Step Explanation
As x increases by 4, y increases by 6.
13 + 4 = 17
17 + 4 = 21
21 + 4 = 25
0 + 6 = 6
6 + 6 = 12
12 + 6 = 18
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the GRAPHS AND FUNCTIONS.
This here, from the graph we can see that it's a EXPONENTIAL GROWTH.
Thus the relationship is Exponential.
How much did Angelo pay for his online purchase
Answer:
Step-by-step explanation:
please include a picture of the question! :)
Please can someone help it will mean the world
Answer:
The solution is (2,5)
Step-by-step explanation:
The solution to the system of equations is where to the two graphs intersect
The two lines intersect at x=2 and y = 5
The solution is (2,5)
Answer:
Hey there!
The solution for a system of equations (simultaneous equations), is where the two lines intersect.
We see that the lines intersect at (2,5), making (2,5) the solution to the system of equations.
Let me know if this helps :)
compare -1/6 and -2/3
Answer:
-1/6=-0.166
-2/3=-0.66
Step-by-step explanation:
-by looking carefully you will notice that . which number is greater and smaller.
Answer:
-1/6 is greater than -2/3
Step-by-step explanation:
You have already run 4 miles. If you run at a speed of 8 miles per hour, how many total miles will you run in 2 more hours? Choose the correct equation and solution to this problem.
Answer:
20 miles
Step-by-step explanation:
I'm not sure if that is exactly how you solve it but
If its
8x+4 as the equation and x is the number of hours run
the total number of miles run should be 20 miles
8(2)+4=20
Answer:
20 miles
Step-by-step explanation:
miles already covered = 4
rate of speed = 8miles / hour
miles to be covered = 8 miles/hr× 2 hr= 16 miles ( because distance is velocity × time)
total miles covered = 16 + 4 = 20 miles.
the scale on the map is 1 cm represents 40 km . the actual straight line distance between 2 cities is about 320 km what is the map distance between these 2 cities
Answer:
8cm
Step-by-step explanation:
the ratio of cm to km is 1 cm on the map equals 40 km. or 1/40 so you have to find what is x/320 using the ratio of 1/40 you gt that x equals 8
A science club is raising money by selling t-shirts. The cost of producing the t-shirts is a one time 550 dollar design and set up fee plus 12
dollars per shirt. If they sell the t-shirts for $17.50 each, what is the minimum number of t-shirts the club can order and still make a profit?
Answer: not sure
Step-by-step explanation:
Two factory plants are making TV panels. Yesterday, Plant A produced 5000 fewer panels than Plant B did. Five percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 450 defective panels
Answer:
10,000 panels
Step-by-step explanation:
A TV panel is being produced by two factory plants
Plant A produced 5000 fewer panels than plant B
Let a represent the number of panels produced by plant A and b represent the number of panels produced by plant B
a= b-5000............equation 1
5% of the panels from plant A were defective
= 5/100
= 0.05
2% of the panels from plant B were defective
= 2/100
= 0.02
The total defective panels of both plants is 450
0.05a + 0.02b= 450..............equation 2
Substitute b-5000 for a in equation 2
0.05(b-5000) + 0.02b= 450
0.05b - 250 + 0.02b= 450
Collect the like terms
0.05b+0.02b= 450+250
0.07b= 700
Divide both side by the coefficient of b which is 0.07
0.07 b/0.07= 700/0.07
b= 10,000
Hence plant B produced 10,000 panels
Solve by the quadratic formula: 3x^2 - 4x + 1 = 0
Answer:
x = 1/3 and x = 1.
Step-by-step explanation:
3x^2 - 4x + 1 = 0
(3x - 1)(x - 1) = 0
The solutions are when either 3x - 1 = 0 or x - 1 = 0.
3x - 1 = 0
3x = 1
x = 1/3
x - 1 = 0
x = 1
So, x = 1/3 and x = 1.
Hope this helps!
PLEASE HELP!! Which two solid figures have the same volume?
Answer:
B. a rectangular solid with a base of 6 cm^2 and a height of 12cm
D. An oblique solid with a base of 6cm^2 and a slant height of 12cm
The rectangular solid with a base of 6 cm² and height of 12 cm and oblique prism of base area 6 cm² , height 12 cm has the same volume
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the base and height of the rectangular solid be 6 cm² and 12 cm respectively
So , volume of rectangle = 6 x 12 = 72 cm³
Now , the base and height of the oblique prism be 6 cm² and 12 cm respectively
So , the volume of prism = 6 x 12 = 72 cm³
Hence , the volume of rectangle and prism are same
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8 7 12 7 11
10 7 12
Find:
a)the median
b) the range
c)the mode
Answer:
a) Median: 9
b) Range: 5
c) Mode: 7
Step-by-step explanation:
The median is the number in the middle.
First, you put the numbers in order: 7, 7, 7, 8, 10, 11, 12, 12
The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.
To find the range, you minus the highest number and the lowest number, 12-7=5.
Mode is the most occurring and repetitive number, in this case, 7, because it is written 3 times.
Hope this helps!!!
Answer:
[tex]\boxed{\mathrm {Median = 9}}[/tex]
[tex]\boxed{\mathrm{Range = 5}}[/tex]
[tex]\boxed{\mathrm{Mode = 7}}[/tex]
Step-by-step explanation:
The observations are:
8,7,12,7,11,10,7,12
In ascending order:
=> 7,7,7,8,10,11,12,12
A) Median => Middlemost no.
Median = 8,10
=> [tex]\frac{8+10}{2}[/tex]
=> [tex]\frac{18}{2}[/tex]
Median = 9
B) Range = Highest No. = Lowest No.
RANGE = 12-7
Range = 5
C) Mode => frequently occurring number
Mode = 7
solve the equation 2/3x-2=7
Answer: x = 27/2
Step-by-step explanation:
2/3x-2=7
2/3x=9
2/3x=27/3
2/3x(3/2)=27/3(3/2)
x=81/6
x=27/2
Answer: x = 27/2
Step-by-step explanation: In this equation, our first step is to isolate the x term by adding 2 to both sides.
On the left, -2 and +2 cancel out and were left
with 2/3x and on the right, 7 + 2 simplifies 9.
So we have 2/3x = 9.
In order to get x by itself, since it's being multiplied by a fraction,
we multiply both sides of the equation by the reciprocal of that fraction.
The reciprocal of a fraction is just that fraction
flipped so the reciprocal of 2/3 is 3/2.
So we have (3/2)(2/3x) = 9(3/2).
On the left, the 2's cancel and the 3's cancel.
On the right, 9(3/2) is 27/2.
So x = 27/2
A twelve-foot ladder is leaning against a wall. If the ladder reaches ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*
This question is incomplete.
Complete Question
A twelve-foot ladder is leaning against a wall. If the ladder reaches eight ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*
Answer:
42°
Step-by-step explanation:
From the question, the diagram that is formed is a right angle triangle.
To solve for this, we would be using the trigonometric function of Sine.
sin θ = Opposite side/ Hypotenuse
From the question, we are told that:
12 foot ladder is leaning against a wall = Hypotenuse
The ladder reaches 8ft high on the wall = Opposite side.
Hence,
sin θ = 8ft/12ft
θ = arc sin (8ft/12ft)
= 41.810314896
Approximately to the nearest degree
θ = 42°
Therefore, the angle the ladder forms with the ground to the nearest degree is 42°
? Given: All US area codes are three-digit numbers that use the numerals 0 to 9. Step 2: How many area-codes are possible if the first digit can't be zero and no digit can be repeated? Use your keyboard and the keypad to enter your answer. Then click Done.
Explanation:
For the first slot, we have 9 digits to choose from (1 through 9).
Whatever we pick for the first choice, we have 9 choices left for the second slot. Say we picked 2 for the first slot. That means we have {0,1,X,3,4,5,6,7,8,9} to choose from. I used X to indicate we can't pick that digit any more. You'll see there are 9 items in that list.
Then for the third slot, we had 8 choices to pick from
Overall we have 9*9*8 = 81*8 = 648 different area codes possible where the first digit cannot be zero.