If a function 'f' is translated by 'k' units down, image function 'g' will be,
g(x) = h(x) - 3If the function 'g' gets shrink by a factor 'm', the new function 'k' will be,
k(x) = [tex]m[g(x)][/tex] where, 0 < m < 1Following these rules image of the function 'f' given in the question will be g(x) = [tex]\frac{1}{3}x-1[/tex]
Function given in the question is,
f(x) = xIf the function f is translated by 3 units down, image function 'h' will be,
h(x) = f(x) -3
h(x) = x - 3
If the image function is vertically shrink by a factor of k, equation of the image function will be,
g(x) = [tex]k[h(x)-3][/tex]
where, k = [tex]\frac{1}{3}[/tex],
g(x) = [tex]\frac{1}{3}}(x-3)[/tex]
= [tex]\frac{1}{3}x-1[/tex]
Therefore, image function will be [tex]g(x)=\frac{1}{3}x-1[/tex].
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Dissimilar to similar fractions
1. 3/5 and 2/3
2. 7/9 and 2/3
3. 4/6 and 1/8
4. 1/4 and 2/3
5. 4/6 and 3/5
( Please someone answer me? I really need help. I been struggling for 3 hours, still I can’t get the right answer. Please just leave a reply even answer only or reply to this question please )
X^3+2/3x^4-1/2x^2 integral
[tex] \frac{2 {x}^{5} }{15} + \frac{ {x}^{4} }{4} - \frac{ {x}^{3} }{6} + c[/tex]
simplified form =
[tex] \frac{ {x}^{3}(8 {x}^{2} + 15x - 10) }{60} + c[/tex]
what is the formula for speed when speed isnt given
Step-by-step explanation:
what do you mean lf speed is not given what we have tofind
Answer:
v = d/t, perhaps.
Step-by-step explanation:
Velocity (speed) is defined as distance traveled divided by the time it takes to travel that distance.
This gives an average speed. For example, I'll be taking a trip tomorrow of about 150 miles. If it takes me 3 hours, my average speed is v = 150/3 = 50 miles per hour.
That does not mean my speed is constantly 50 miles per hour; I sometimes go slower than that (maybe even stopping for red lights!), and sometimes I'll be going faster than that.
A lot of school math problems assume a constant speed.
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP DECIMAL WORD PROBLEM INTO EQUATION
Answer:
136 miles
Step-by-step explanation:
Write an equation to represent the cost of the rental, and then solve the equation to find the number of miles.
Let x = number of miles.
The total cost is the cost per mile plus the base fee.
1 mile costs $0.90
2 miles cost $0.90 * 2
x miles cost $0.90 * x, or simply 0.9x
The base fee is $16.95, so the total to rent for x miles is 0.9x + 16.95
The equation
c = 0.9x + 16.95
gives you the cost, c, for a rental of x miles.
We are told the total cost was $139.35. Replace c with 139.35, and solve for x, the number of miles.
139.35 = 0.9x + 16.95
Switch sides.
0.9x + 16.95 = 139.35
Subtract 16.95 from both sides.
0.9x = 122.4
Divide both sides by 0.9
x = 122.4/0.9
x = 136
Answer: 136 miles
R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?
let the last number be x
we know,
[tex] \boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]
So,
[tex] \hookrightarrow \: 8 = \dfrac{22 + x}{4} [/tex]
[tex] \hookrightarrow \: 8 \times 4 = 22 + x[/tex]
[tex] \hookrightarrow \: 32 = 22 + x[/tex]
[tex] \hookrightarrow \: x = 32 - 22[/tex]
[tex] \hookrightarrow \: x = 10[/tex]
therefore, the last number is 10.
3 divided by 45 I need help I stink at division
Answer:45 divided by 3 is 15
Step-by-step explanation:
Answer:
its 15
I'm bad at explaning
THIS IS URGENT PLEASE HELP!!!!!
please help me quickly
Answer:
look we solve it without options
4 - 2x = 24
4 - 2x -4 = 24 -4
SO FIRSTLY SUBTRACT 4
-2x = 20
-2x /-2 = 20 /-2
SO DIVIDE BY -2
X = - 10
So analyse options and u will know that option b is correct :))
Plz I need this fast!! ILL GIVE BRAINLIEST!!!
Answer:
its 18 trust
Step-by-step explanation:
(EASY) In a rectangle, the length is 5 metres more than the width The perimeter of the rectangle is 70 metres Calculate the measurments for the length and width
Answer:
15 m and 20 m
Step-by-step explanation:
Let the width be x
Length = x + 5
Perimeter = 2(l + b)
70 = 2(x + 5 + x)
70/2 = 2x + 5
35 = 2x + 5
35 - 5 = 2x
30 = 2x
30/2 = x
15 = x
Length = x + 5 = 20 m
Breadth = x = 15 m
Help me with this please I’d appreciate it
The coordinates of Point [tex]D'[/tex] are [tex](42, 0)[/tex]
[tex]\text{Algebraic Representation: } (x,y) \to (7x,7y)[/tex]
which number comes first when The numbers are listed from least to greatest a. 1/6 b. -1 c. 5 squared d. -7/2 e. 4.6
the answer is C. -1
Step-by-step explanation:
-1 is the smallest number
Can someone HELP ME WITH QUESTION 2 ONLY PLEASE!!! 20 points !!!
Step-by-step explanation:
1. Line l can be named as line FBD
2. B and C
3. Colinear:-A,B,C
No-Colinear:-F,B,C
4. 6
5. DE = 13
2 + 2x - 3 = 13
2x - 1 = 13
2x = 12
x = 12/2
x = 6
Answer:
The intersection of line l is AC and the intersection of line m is FD.
Intersection line means the line which passes the line by crossing it.
all three angles of a triangl add up to 180 degrees. the three angles measuure 75 degrees, 10x degrees, and 5x degrees. write and solve an equation for x. then find the measure of the two unknown angles.
Answer:
elaborate more.....
Step-by-step explanation:
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Gloria collected 23 faintail and comet goldfish. There were 11 fewer fantails than comets. How many comets did Gloria have?
solve by using cramers rule : 3x +2y = 1 , x-y = 2
Answer:
its 3hdnndndjsjshnanajzh z
Find the x- and y-intercepts of each line and write the equation in standard form.
y=-4/3x+6
Answer:
Standard form: [tex]4x + 3y = 18[/tex]
x-intercept: [tex](\frac{9}{2} ,0)[/tex]
y-intercept: [tex](0,6)[/tex]
Graphed:
By selling the watch at Rs.600 and rs 650 loss and profit are happened respectively. If loss amount is equal to profit amount find cost price.
Answer:
cost price is600
Step-by-step explanation:
profit-50
selling price-650
profit-selling price
is600so it's cost price
Help pleaseeeeeeeeeee
Answer:
3(x+5)
hope it helps you
Pls answer these questions
Step-by-step explanation:
Objective; Translating points
A translation is when we moving figures and points. We can represent a transformation algebraically and geometrically.
Algebracially:
[tex](x + h)[/tex]
where h is the amount of units we move right or left
and
[tex](y + k)[/tex]
where k is the amount of units we move up or down
For 1. We are asked to translate the figure 3 units up and 7 units to the left.
7 units to the left is the same as subtracting 7 . from x valyes. and 3 units up is is same as adding 3 units to the y values, so subtract 7 from every x coovalues. and add 3 to every y value. is
Our new coordinates
E is (-5,3) F is (-2,4) G is (-3,5) H is (-5,5).
2. 6 units right and 8 units up is basically add 6 to every x value and add 8 to every y value.
So our new coordinates is
T' (1,3)
U' (4,3)
V'(4,5)
W'(1,5)
14 - 8 + 3 + 8 × [24 ÷ 8]
Answer:
33
Step-by-step explanation:
14 - 8 + 3 + 8 × [24 ÷ 8] =
14 - 8 + 3 + 8 × 3 =
14 - 8 + 3 + 24 =
6 + 3 + 24 =
9 + 24 =
33
Answer:
14-20×(24÷8)=-6×{3}=-18
Joan joined her school's band. She bought a viola for $72.21, and a song book
which was $7.25 with a $100 bill. How much change was Joan given?
Hello :D
To do this you need to add the cost of the violin and the song book.
$72.21 + $7.25 = $79.46
$100 - $79.46 = $20.54
The answer is $20.54. I hope this helps :)
3.Kelly borrowed $16.30 from her
mom. She also owed her friend
51120 What number represents
Kelly's total debt?
the set of whole numbers and their opposites
Answer:
Integers
Step-by-step explanation:
Hey, can someone help me with 8 math problems of numbers in their prime factored form? I have no idea how to do this and my teacher didn't really explain very well, so this would be a big help!
Prime factorization is shows you the only way a number can be factored.
Here are some examples:
6 = 2 x 3
(2 and 3 are prime numbers) If you need to, search up a prime chart of numbers. Also prime numbers is technically how small you can get a number.
Here are some more examples:
12 = 2 x 2 x 3
45 = 5 x 3 x 3
now that you see what it looks like, you may be wondering how did factor those out? Well first find a divisible number. lets use this example;
Factor out 42.
first think of your times table, what two numbers get you to 42, I know that 6 times 7 does so now write it out:
42 = 6 x 7
Is this equation done?
No it is not, 6 can still be factored.
What two numbers get you the product of 6?
they are 3 and 2.
Now the final factored out equation looks like this:
42 = 3 x 2 x 7
----------------------------
I hope this helps!
I need help with #61 to #64 ASAP please and thank you can someone please help me with it
हसब्झन्झजझ हज जज्ज जनक ककक्कजज्ज
in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable.
(for the first one <1=5x° I found out x=17 so I just need the rest if you can)
Answer:
y=95
Step-by-step explanation:
17x5=85
180-85=95
y=95
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.
∠1 = ∠3
5x° = 85°
x = 85° / 5
x = 17°
Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,
∠1 + ∠2 = 180°
5x + y = 180°
Substitute the value of x,
5(17°) + y = 180°
85° + y = 180°
y = 180° - 85°
y = 95°
Hence, the value of x and y is 17 and 95, respectively.
The complete question is mentioned below.
Learn more about Vertical Angles here:
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Convert 0.764 into a fraction?
Answer:
191/250
Step-by-step explanation:
plzz add my answer as brainliest
Can someone explain me how to do this
8) v = -3
9) m = 4
Explanation:
8)
[First distribute the factored terms on the left side of the equation]
2(v + 4) + 3(4v + 5) = -19 →
2(v) + 2(4) + 3(4v) + 3(5) = -19 →
2v + 8 + 12v + 15 = -19 →
[Next, add the like terms together]
(2v + 12v) + (8 + 15) = -19 →
14v + 23 = -19 →
[Subtract 23 from both sides to isolate the constant term]
14v + 23 – 23 = -19 – 23 →
14v = -42 →
[Lastly, divide both sides by 14 in order to obtain the value of v from the coefficient of 14 in 14v]
14v / 14 = -42 / 14 →
v = -3
9)
[Start by distributing the factored term on the left side of the equation]
2(m – 1) = 10 – m →
2m – 2 = 10 – m →
[Next, add m to both sides in order to isolate the m term and remove -m from the right side of the equation]
2m – 2 + m = 10 – m + m →
3m – 2 = 10 →
[Add 2 to both sides to isolate the constant term and remove -2 on the left side of the equation]
3m – 2 + 2 = 10 + 2 →
3m = 12 →
[Finally, divide by 3 on both sides in order to reduce the coefficient of 3 in 3m to get m]
3m / 3 = 12 / 3 →
m = 4
Write the equation of a line in slope-intercept form, y = mx + b, between the following
points: (2, 5) and (-4,-4).
Answer:
[tex]y = \frac{3}{2} x + 2[/tex]
Step-by-step explanation:
In the slope-intercept form y= mx +b, m is the slope and b is the y- intercept.
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} } [/tex]
Using the formula above,
[tex]slope = \frac{5 - ( - 4)}{2 - ( - 4)} [/tex]
[tex]m = \frac{5 + 4}{2 + 4} [/tex]
[tex]m = \frac{9}{6} [/tex]
[tex]m = \frac{3}{2} [/tex]
Substitute the value of m into the equation:
[tex]y = \frac{3}{2} x + b[/tex]
To find the value of b, substitute a pair of coordinates into the equation.
When x= 2, y= 5,
[tex]5 = \frac{3}{2} (2) + b[/tex]
5= 3 +b
b= 5 -3
b= 2
Thus, the equation of the line is [tex]y = \frac{3}{2} x + 2[/tex].
