Given:
[tex]y=\dfrac{3}{4}x[/tex]
[tex]y=\dfrac{1}{2}x-6[/tex]
To find:
Whether the above functions are proportional or non-proportional?
Solution:
If y is proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
The proportional relationships are in the form of [tex]y=kx[/tex] and they passes through (0,0).
Putting x=0 and y=0 in the given equations.
[tex]y=\dfrac{3}{4}x[/tex]
[tex]0=\dfrac{3}{4}(0)[/tex]
[tex]0=0[/tex]
It is a true statement.
[tex]y=\dfrac{1}{2}x-6[/tex]
[tex]0=\dfrac{1}{2}(0)-6[/tex]
[tex]0=0-6[/tex]
[tex]0=-6[/tex]
It is a false statement.
Therefore, [tex]y=\dfrac{3}{4}x[/tex] is proportional and [tex]y=\dfrac{1}{2}x-6[/tex] is non-proportional.
Hanna Was Riding Her Bike For 11/12 Mile long. She Rode For 1/2 Mile And Then Stopped To Rest. She Rode Another 1/3 Mile And Then Had A Flat Tire. How Far Dose Hanna Have To Walk Her Bike To Complete The Loop?
Hanna have to walk her bike for 1/12 mile to complete the loop .
In the question , it is given that
distance Hanna had to ride to complete the loop = 11/12 mile
distance rode by Hanna before rest = 1/2 mile
distance rode by Hanna before flat tire = 1/3 mile
So the distance Hanna has to walk her bike to complete the loop = total distance of the loop - distance rode by Hanna before rest - distance rode by Hanna before flat tire .
On substituting the values from above we get ,
distance Hanna has to walk her bike to complete the loop = 11/12 - 1/2 - 1/3
taking the LCM of 12 , 2 and 3 as 12
we get ,
= 11/12 - 6/12 - 4/12
Simplifying further we get ,
= (11-6-4)/12
= (11-10)/12
= 1/12
Therefore , the distance Hanna have to walk her bike to complete the loop is 1/12 mile .
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-20 points!! -
This is my last question until and I have like 6 minutes until the deadline!
Given:
The figure.
To find:
The value of a.
Solution:
We know that, in a right angled triangle
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan (38^\circ) =\dfrac{6}{a}[/tex]
Multiply both sides by a.
[tex]\tan (38^\circ)\times a=6[/tex]
Divide both sides by [tex]\tan (38^\circ)[/tex]
[tex]a =\dfrac{6}{\tan (38^\circ)}[/tex]
The value of a is [tex]\dfrac{6}{\tan (38^\circ)}[/tex].
Therefore, the correct option is b.
Sally has 42 cookies . She wants to eat some and share some with her class. If she hopes to share at least 35 of them with her class, how many cookies can she eat?
Answer:
1.2 please tell me if im wrong
Step-by-step explanation:
PLS HELPPPPPPPPPPP Determine the approximate value of X round to the nearest hundredth
Answer:
Step-by-step explanation:
We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.
Answer:
D.) x = 5.29
Step-by-step explanation:
first find the last angle measure 180-90-54=36
use law of sines to find x
sin90/9=sin36/x
(sin90)(x) = (sin36)(9)
(sin90)(x) = 5.29
x = 5.29
A function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4. what is the output for this rule when the input is 5?
Answer:
when the input = 4Then the output = 6Step-by-step explanation:
It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.
Let 'x' be the number
Decreasing twice the number 'x' by 4 = 2x-4
Now,
Given the input x = 5
As the output will decrease twice the input (x=5) by 4
Thus, the output = 2(5)-4 = 10-4 = 6
Therefore,
when the input = 4Then the output = 6Help me, but the answer is not E.
Answer:
40%
Step-by-step explanation:
To find the percentage difference between the families with 2 dogs and the families with no dogs, we need to find their difference first.
Difference = 45 - 27
= 18
Now that we know the difference, we just have to put the difference over the total as a fraction and multiply by 100%.
Percentage difference = [tex]\frac{18}{45}[/tex] × 100%
= 40%
13d+8=-1
b=?
need answer
Answer:
d=[tex]\frac{-9}{13}[/tex]
Step-by-step explanation:
Original equation: 13d+8=-1
1. Subtract 8 from both sides of the equation to get:
13d=-9
2. Divide both sides by 13 to get:
d=[tex]\frac{-9}{13}[/tex]
Answer:
-9/13
Step-by-step explanation:
i took the iready quiz
In the figure below, ∆ABC ~ ∆QRS.
If AB = 50, AC = 60, QS = 6, find QR.
Write a proportion and solve.
QR = ?
QS/AC=6/60=1/10
QR/AB=QR/50=1/10
QR=5
SO THAT TRIANGLE ABC IS EQUAL TO TRIANGLE QRS(2SIDES PROPORTIONAL.INC. ANGLE)
Answer:
QR = 5
Step-by-step explanation:
It's given that ∆ABC ~ ∆QRS. As both of them are similar , the ratio of corresponding sides of both triangles will be proportional to each other.
[tex] \frac{AB}{QR} = \frac{BC}{RS} = \frac{AC}{QS} [/tex]
AB = 50 ; AC = 60 ; QS = 6
From the above proportion ,
[tex] \frac{AB}{QR}= \frac{AC}{QS}[/tex]
Putting all the values ,
[tex] \frac{50}{QR} = \frac{60}{6} [/tex]
[tex] = > \frac{50}{QR} = 10[/tex]
[tex] = > QR = \frac{50}{10} = 5[/tex]
Which question represents the equation for this graph? (Pls help I will mark brainliest)
Answer:
y = 2x - 3
i just know this is correct, so trust me :)
b-4/6=b/2 find the variable
please help i dont understand how to work this
Based on the given equation of b -4/6=b/2, the value of the variable b, can be found to be -2
What is the variable?The variable can be found by solving the equation through the operations of mathematics.
First, cross-multiply:
b -4/6 = b/2
b - 4 = 6b / 2
After cross-multiplying, collect like terms:
b - 4 = 3b
b - 3b = 4
-2b = 4
b = 4 / -2
b = -2
In conclusion, the variable is -2.
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Put these numbers in order, smallest to largest,
0.77
0.777
0.707
0,077
0.7
Answer:
0.07 0.77 0.77 0.707 0.777
Step-by-step explanation:
I think
what is [tex]\frac{7}{200}[/tex] as a decimal
7/200 as a decimal is 0.035
Step-by-step explanation:Simply divide the numerator by the denominator:
= 7/200
= 7 ÷ 200
= 0.035
42/12 - 85/25 + 117/30
Answer:
the answer is 4 it think it is correct
Answer:
4
Step-by-step explanation:
42/12=7/2
85/25=17/5
117/30=39/10
So
7/2-17/5+39/10
35-34+39/10
40/10
4
Janelle types at the rate of Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. Of a page per minute. Which statement about Janelle is true? A) Janelle can type 8 pages in 1/3 of a minute B) Janelle can type 2 pages in 3/4 of a minute C) Janelle can type 1/2 page in 3/4 of a minute D) Janelle can type 1/4 of a page in 2/3 of a minute
Answer: D) Janelle can type 1/4 of a page in 2/3 of a minute
Step-by-step explanation:
Option A is wrong because based on the constraints, Janine would type less than 3/8 of a page in anything less than a minute. 8 > 3/8.
For that same reason, option B is wrong as well. 2 > 3/8.
1/2 > 3/8 so Option C is wrong for the same reason as the options above.
To test option D;
If Janine can type 3/8 of a page per minute, how much can she type in 2/3 minutes.
Assume the much she can type is x;
3/8 : 1
x : 2/3
1x = 3/8 * 2/3
x = 1/4
Option D is therefore correct.
Find the slope of a line that contains the two points (-2,8) and (1,2)
Answer:
[tex]m = -2[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Points: (-2, 8), (1, 2)
[tex]m = \frac{8-2}{-2-1}[/tex]
[tex]m = -2[/tex]
Can someone help me whit this?!?
Find the Volume, Of the shape
Answer:
V≈20.94
Step-by-step explanation:
The formula for solving the volume of a cone is V=πr^2(h/3).
Hope this helps and I hope u have an Amazing day!!
The point A (10,15) was dilated to become point A’ (4,6). What was the scale factor?
========================================================
Explanation:
Preimage = A = (10, 15)
Image = A' = (4, 6)
Divide the x coordinates of the image over preimage
4/10 = 0.4 is the scale factor
Or you could do the same for the y coordinates
6/15 = 0.4
select the correct answer. which expression is equivalent to this polynomial? 9x2 4 a. (3x 2i)(3x − 2i) b. (3x 2)(3x − 2) c. (3x 2i)2 d. (3x 2)2
The polynomial 9x^2 + 4 is equivalent to (3x+2i)(3x-2i). The answer is A.
Polynomials are algebraic expressions that consist of variables and coefficients where arithmetic operations can be performed.
A polynomial is expanded if no variable appears within parentheses and all like terms have been combined.
To expand a polynomial, multiply its factors (often by using the distributive property) or perform the indicated operations. Then combine all like terms.
Expanding each of the options provided using FOIL method:
a) (3x+2i)(3x-2i)
= 9x^2 - 2ix + 2ix - 4i^2
= 9x^2 - 4i^2 *(i^2 = -1) note that i is an imaginary number and i squared is equal to -1
= 9x^2 - 4(-1)
= 9x^2 + 4
b) (3x+2)(3x-2)
= 9x^2 + 6x - 6x - 4
= 9x^2 - 4
c) (3x + 2i)^2
= 9x^2 + 6ix + 6ix + 4i^2 *(i^2 = -1)
= 9x^2 + 12ix - 4
d) (3x + 2)^2
= 9x^2 + 6x + 6x + 4
= 9x^2 + 12x + 4
Hence, the polynomial 9x^2 + 4 is equivalent to (3x+2i)(3x-2i). The answer is A.
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Perpendicular Lines
Instructions: Given the following image is a cube, name a segment that is
perpendicular to AH?
Answer:
HG
Step-by-step explanation:
Where they meet another line at a 90 degree angle.
The segment that is perpendicular to segment AH in the given cube is: HG.
What are Perpendicular Segments?When two segments form a right angle at the point of their interception, they are said to be perpendicular to each other.
In the image given, a right angle is formed where segments AH and HG meet. Therefore, a name of a segment that is perpendicular to AH is: segment HG.
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Brennan earns $14.50 each week for walking his neighbor's dog. He earns $18 each week for mowing another neighbor's lawn. How much money will Brennan earn in 5 weeks?
Answer:
$162.50
Step-by-step explanation:
X = (14.50*5) + (18*5)
x = 72.50 + 90
x = 162.50
What is the m∠L?
54°
52°
40°
45°
|
-6y + 4x = 8
Slove for y
Answer:
y = [tex]\frac{2}{3 }[/tex]x - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
-6y + 4x = 8 Subtract 4x from both sides of the equation
-6y = -4x + 8 Divide everything by -6
y = [tex]\frac{2}{3 }[/tex]x - [tex]\frac{4}{3}[/tex]
Which set of ordered pairs represents a function? *
O {(1,8), (8, 1), (1,5), (5, 1)}
O {(2,1),(3,1),(4,3), (5,3)}
O {(5,1),(3, 8), (3,7), (7.1);
{(5,1),(5,6), (1,3), (9.7)}
The answer is the second choice.
There cannot be repetitive domains in one set. Therefore, all choices except the second choice have repetitive domains.
Thus, not making them a function but rather a relation instead for other choices. The only relation that is a function here is the second choice.
the second one because the x values should not have repeating numbers
Shondra is counting the money in the cash register at the end of her shift. All that is left to count are $5 bills and $10 bills. There are 32 bills in the stack and they are worth $220. How many of each denomination did she have?
Let x represent the number of $5 bills and let y represent the number of $10 bills.
Choose the 2 equations that would best represent this scenario and select the correct solution from the drop down list. You will select 3 answers in total.
Answer and Step-by-step explanation: x represent the number of $5 bills and y, the number of $10 bill and, in total there are 32 bills, so
x + y = 32
In terms of value, there is a total of $220. The equation for it is
5x + 10y = 220
The 2 equations which best represent the scenario are
x + y = 32 (I)
5x + 10y = 220 (II)
To know how many bills there are, we have to solve the system. There are many way to solve it and one of them is
1) Multiply (I) by -5:
-5x - 5y = -160 (III)
2) Add equation (III) to equation (II):
-5x - 5y = -160
5x + 10y = 220
0x + 5y = 60 (IV)
3) Solve equation (IV)
5y = 60
y = 12
4) Replace value of y in equation (I) and find value of x:
x + 12 = 32
x = 20
In the proposed scenario, Shondra had 20 $5 bills and 12 $10 bills.
Answer: x=20 and y=12
Step-by-step explanation:
what is the value of 81 3/2 ?
Answer:
82.5
Step-by-step explanation:
3/2 = 1.5
81+1.5=82.5
Which multiplication expression is equal to 1/4÷1/3?
A.1/4×1/3
B.1/4×3/1
C.4/1×1/3
D.4/1×3/1
Answer:
1/4 × 3/1
To divide by a fraction you have to multiply by the inverse of the second fraction.
You are designing a rectangular playground on your scale the verticals of the rectangle are (6,3), (6,5) and (8,3). What are the coordinates of the fourth vertex
Answer:
The coordinates of the fourth vertex are (8,5)
Step-by-step explanation:
We need to take note that a rectangle is a shape that has 4 sides, with two of them of equal length.
It will also help if we can visualize the points on the graph.
We are given the location of three of the four vertices. These are (6,3), (6,5) ,and (8,3). Let the 4th Vertice be (x,y)
The length of the triangle can be obtained by subtracting the y-coordinates of the vertices.
(6,3) - (6,5)
This will be +3 and +5
5-3 =2
Therefore, the length of the triangle is 2 units on the left side.
Recall that the length of the left side has to be equal to the length of the right side.
Therefore
y-3 =2
y = 5
We will repeat the same process to get the x-coordinate from the breadth
Breadth = 8-6 =2
x-6 =2
x=8
Hence the x = 8
Therefore, the coordinates of the fourth vertex are (8,5)
Whats The Answer Marking Brainliest, Please explain your answer:D...................
Answer:
10/19
Step-by-step explanation:
the question is asking you for the amount of time that Tia spends playing the computer to the amount of time that she spends playing outside.
she spends 10 minutes playing on the computer
she spends 19 minutes playing outside
therefore it is 10:19 or 10/19 or 10 to 19
The equation f(x)=3x can be written as x^3=k. Find the value of k
After solving the equation we get the value of k as ₋3, and also proved that the function is odd function.
Given the equation is f(x) =x³₋(k₊3) x²₊3x
also we know that the f(x) is an odd function, then by definition we write
f(₋x) = ₋f(x)
f(₋x) = (₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x)
= ₋ [x³ ₋ (k ₊ 3)x² ₊ 3x] = ₋x³ ₊ (k ₊ 3)x² ₋ 3x
(₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x) = ₋x³ ₊ (k ₊ 3)x² ₋ 3x
₋x³ ₋ kx² ₋ 3x² ₋ 3x = ₋x³ ₊ kx² ₊ 3x² ₋ 3x
₋kx² ₋ 3x² = kx² ₊ 3x²
2kx² ₊ 6x² = 0
2k + 6 = 0
k = -3
Therefore, k has the result of reducing f(x) to x³ ₊ 3x. When we examine this function to check if it's an odd function, we see that
(₋x)³ ₊ 3(₋x) = ₋x³ ₋ 3x = ₋ [x³ ₊ 3x]
Hence the value of k is ₋3 and the function is an odd function.
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Your Question is incomplete. Please find the missing content here.
If f(x) =x³₋(k₊3) x²₊3x and if f is an odd function, what is k?