If the output and input of a linear equation are proportional, where will the graph of the equation cross the x-axis?
If the output and input of a linear equation are proportional, the graph of the equation cross the x-axis at (0, 0).
What are proportional functions?In any function, the amount of one quantity is dependent on the amount of another. All proportional functions use a rate in the same way. We call the rate the constant of variation, or the constant of proportionality. It’s a constant because this number does not change within the function. Because the input and output are linked by a constant, changes in the independent variable cause the dependent variable to change in a proportional, steady way.
y ∝ x
⇒ y = kx
where k is the constant of proportionality.
For the graph of this function to cross x axis, y = 0
When y = 0 and k is some non zero constant value, x = 0
Thus, the coordinate at which the graph of the function crosses x axis is (0, 0).
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If someone could tell me the equation to set up the problem for me it would be great! My teacher didn’t go over how to solve it when the equation is on both sides. And if you could explain why would be totally amazing!
Answer:
3x + 3 = 54 degrees
x + 2 = 19 degrees
Step-by-step explanation:
Since, both angles add up to 73 degrees, write these equation
X + 2 + 3x + 3 = 73
4x + 5 = 73
4x = 73 - 5
4x = 68
4x/4 = 68/4
x = 17
Substitute the value of x to x + 2 and 3x + 3
x + 2
17 + 2 = 19°
3x + 3
3(17) + 3
51 + 3 = 54°
Now add them
54 + 19 = 73°
Matrices!!!!!!!!!!!!!!!!
Answer:
[tex]\left[\begin{array}{cc}1&-1\\3&1\\1&-2\end{array}\right][/tex]
Step-by-step explanation:
Subtract each element.
What is a yearly expense you should expect to pay for your car?
✅Inspection
- Car wash
- Oil change
- Gas
Answer:
the answer is inspection
Step-by-step explanation:
u Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating. 20% tip on a bill of $123.42 The amount of the tip is approximately $
Answer:
Tip formula
In general, the tip amount is the cost times 0. xx and your total including tip, is the cost times 1. xx where xx = the percent you want to leave. If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip.
Help!! I don’t know what im supposed to do!!
Answer:
what type of witch craft is that
Step-by-step explanation:
Answer:
(-5, 1)
Step-by-step explanation:
see the graph below
or you can plot points for x = 1, 2, 3 for both graphs and join those lines
and find the intersecting point
which is (-5, 1)
Find the axis of symmetry of f(x)=2x^2-8x+10
Determine if y=4x2−5 is linear, quadratic, or exponential.
Group of answer choices
Answer:
quadratic
Step-by-step explanation:
find the area of 20mm 14mm 32mm
Answer:
42 is an area
Step-by-step explanation:
The area of a trapezium.
= 1/2 x (a + b) x h
Where a and b are the two parallel sides.
The area of a semicircle.
Area of a circle = πr²
Area of the semicircle = 1/2 x πr²
The area of20mm 14mm 32mm is 521 mm²
What is a circle?
A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.
The area of a circle is given as:
Area = πr²
We have,
Figure:
The figure is a combination of a trapezium and a semicircle.
The area of a trapezium.
= 1/2 x (a + b) x h
Where a and b are the two parallel sides.
a = 32 mm
b = 20 mm
h = 14mm
= 1/2 x (32 + 20) x 14
= 52 x 7
= 364 mm²
The area of a semicircle.
Area of a circle = πr²
Area of the semicircle = 1/2 x πr²
Diameter = 20 mm
Radius = 20 / 2 = 10 mm
= 1/2 x π x 10²
= 1/2 x 3.14 x 10 x 10
= 3.14 x 10 x 5
= 157 mm²
Now,
The area of the figure.
= area of trapezium + area of semicircle
= 364 + 157
= 521 mm²
Thus,
The area of20mm 14mm 32mm is 521 mm²
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What is the length of the intercepted arc? (Type an exact answer in terms of pi) (30 pts)
Answer:
l=4π
Step-by-step explanation:
θ=l/r
l=rθ
r=6
θ=(2π/3)
l=rθ=6×2π/3=4π
I NEED HELP ON 11 PLEASE
Answer:
1579.5
Step-by-step explanation:
i think ...
81 x 39 =3159 / 2 (because there are 2 sides )=1579.5
What's the answer to (10x+200)
Write 8*8*8*8*8*8*8 using an exponet
Answer:
Step-by-step explanation:
= 8^7 = 2^21
Answer:
[tex]8^{7}[/tex] hopefully this helps
Step-by-step explanation:
Suppose that the functions f and g are defined for all real numbers x as follows. f(x)=x-6
g(x)=3x+3 Write the expression
(f+g)(x)=
(f•g)(x)=
(f-g)(-1)=
Answer:
(f+g)(x)=4x-3
[tex](f•g)(x)=3( {x}^{2} - x - 6)[/tex]
(f-g)(x)= -4x-9
{f-g}(-4)= -6
What is 60km/h in m/s?
Answer:i believe its 16.6667
Step-by-step explanation:
If in 1 hour the train can go 550 miles how long would it take to go 330 miles
Answer:
32.7 min
Step-by-step explanation:
60 x 300 = 18000 / 550 = 32.7
Find a value for x that makes the equation true. 3(10 - x) = 6
NO DOWNLOADS
Answer:
8
Step-by-step explanation:
distribute
30-3x=6
get x alone
-3x=6-30
-3x=-24
divide
x=8
Simone wrote that 2 + 5.8 = 6.
Use the drop-down menus to explain why 6 is incorrect.
Answer:
Greater than 2+5
What transformations were applied to ABCD to obtain AB'C'D?
A. Rotate 180 degrees counterclockwise about the origin, then
translate 2 units left
B. Rotate 90 degrees counterclockwise about the origin, then
translate 3 units left
C. Rotate 90 degrees counterclockwise about the origin, then
translate 2 units right
D. Rotate 90 degrees counterclockwise about the origin, then
translate 2 units left
Answer: The answer is B
Step-by-step explanation:
The transformation applied to A'B'C'D' is rotating the quadrilateral by 90 degrees counterclockwise about the origin, then translating 3 units left
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the quadrilateral be represented as ABCD
Now , the transformed quadrilateral is A'B'C'D'
And , coordinates are A ( 1 , 5 ) , B ( 1 , 9 ) , C ( 5 , 9 ) and D ( 5 , 5 )
Now , the square is rotated by 90° counterclockwise and translated 3 units to the left
So , 90° counterclockwise rotation: (x,y) becomes (-y,x)
The coordinates are A' ( -5 - 3 , 1 ) , B' ( -9 - 3 , 1 ) , C' ( -9 - 3 , 5 ) and D' ( -5 - 3 , 5 )
The coordinates are A' ( -8 , 1 ) , B' ( -12 , 1 ) , C' ( -12 , 5 ) and D' ( -8 , 5 )
Hence , the quadrilateral is rotated by 90° counterclockwise and translated 3 units to the left
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How can I arrange these items in different groups of classification and what title can I give? Steak football sausage chair table bacon baseball bat cleats ham bookcase
Answer:
i know this has nothing to do with your question, but is that..
Step-by-step explanation:
pure vanilla pfp?
You purchase a birthday gift for $105.00. You recall the tag above the gifts to read $175.00 as a retail price. You are pleasantly surprised at the discount that you had not seen. What was the percentage of discount offered on your gift? i assume the answer will be 70%?
We then swap this around for the lower number that equals to 100.
100-60= 40
40%
I hope this is helpful.
Answer:
If the retail price was $175.00, and you purchased this item for $105.00, then the discount was 40%
Step-by-step explanation:
[tex]\frac{105}{175} = \frac{21}{35}= \frac{3}{5} = 0,6[/tex] - that means you paid 60% out of the total price
the discount however is not the percentage that you paid, but the X% OFF, so in that case:
[tex]100 - 60 = 40[/tex]
The discount on this item was 40%
The graph y=e^x is transformed as shown in the graph blow which equation represents the transformed function ?
Answer:
[tex]y=e^x+3[/tex]
Step-by-step explanation:
y=e^x will go through (0,1). Since it goes through (0,4), then the function moves up 3 units. So we need to add 3 after e^x
Graph the piecewise function
f(x)= {-2x-3 if -1
Answer:
The points are (0,-1) (1,-1)
Step-by-step explanation:
Hi all,
Got this due Friday! Please explain this to me!
Write down the multiplier for this percentage change:
To increase an amount by 12%, multiply by...
Answer:
percent increase.
Step-by-step explanation:
b-7 when b=24
9+p when p=11
3.67 a when a=2
2/3 x when x= 1/3
18/t when t = 3
1/2t when t=1/2
p squared
b to the eighth power
t x t
5•x•x•x•x•x
Answer:
17
20
7.34
2/9
6
1/4
I can't solve the others cause there are not enough info for me to answer.
Write the equation of the parabola in vertex form.
vertex (1,3), point (2, - 1)
Answer:
[tex]y=-4x^2+8x-1[/tex]
Step-by-step explanation:
I am assuming the parabola has his axis parallel to the y axis. You should remember from theory that the axis (and thus the first coordinate of the vertex) is [tex]-\frac b{2a}[/tex] and then you have two points of passage.
[tex]-b/2a = 1\\a(1)^2 +b(1)+c =3\\a(2)^2+b(2)+c=-1\\[/tex]
Let's solve subtracting the 3rd from the second and keeping the first as is (ok, slightly rewriting it).
[tex]2a=-b\rightarrow 2a+b =0 \\a+b+c=3\\4a+2b+c=-1\\III-II: 4a+2b+c-a-b-c=-1-3 \rightarrow 3a+b=-4 \rightarrow a +(2a+b)=-4\\a= -4; b=8; c =3 +4 -8 =-1[/tex]
My answer was incorrect and I don't know how to delete an answer
Help please! Show work too
Answer:
9 4
- + -
3 2
Step-by-step explanation:
Replace the first x with 9 and the second with 4
Ten tickets at $75 each cost
EXPLAINNN and answer please !
Answer:
75*10=750
Step-by-step explanation:
10 tickets, each 75 dollars, so u multiply 75 by 10 to get 750, just write 75 and rop the 0. $750
Answer:
$750
Step-by-step explanation:
To find the cost of 10 tickets multiply cost of 1 by 10
1 0 cost = $75 × 10 = $750
15,12,9 find the nth term
Questions 7-10: Johnny sister, Jamila, sells chocolate candy bars. Her profit is represented by the function
M(x) = 3x – 20, where M(x) represents the money made after x number of candy bars have been sold.
7. How many candy bars would Jamila have to sell to begin making money (meaning that she makes $1)?
Answer:
the answer is 7 candy bars
Step-by-step explanation:
theres two ways of doing this the equation way and the common sense way m(x) basically just means y so y= 3x -20 we can set y to 0 so 0 = 3x -20 next add 20 to the other side 20 = 3x then divide both sides by 3 you get x= 6.666 but you cant sell .666 of a chocolate bar so round to 7 and thats your answer. the other strategy is saying hey i get $3 per candy bar what number would put be at 21 since 21-20= $1 and we say 7*3 = 21 so 7 is the answer.