Answer:
f(x) = 3x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)
m = [tex]\frac{3-0}{1-0}[/tex] = 3 , then
y = 3x ← is the equation of the graphed line
The length of a rectangle is one more than twice its width. If its perimeter is 20 inches, what is its length and width?
Answer:
Let length be L
Width be W
L=1+2W
Perimeter(p) of rectangle is
P=2L+2W
But L = 1+ 2W and p= 20
:. 20 =2(1+2W) +2W
20=2+4W+2W
18=6W
Divide both sides by 6
W =3
2W+1=L
6+1=L
L=7
Hence, length and width are 7in and 3in respectively
Step-by-step explanation:
[tex]y/8=5[/tex]what is "y' in y/8=5
Answer:
Y=40
Step-by-step explanation:
Y/8=5
(Y/8)*(8)=(5)*(8)
Y=40
Find the new amount given the original amount and the percent of change. $35,000; 7% decrease
Answer:
7%=50
34950 7% decrease
35050 7% increase
Step-by-step explanation:
if 35000 is before the 7% decrease then it would be 34950
if after 35050
Can you guys please help me fill this up plz
Four friends own a carwash, the first total profit in the first month was 438 and two months each other friends had made a profit of 184 they always divide the profits eat equally how much profit did the car wash making the second month?
Answer:
298
Step-by-step explanation:
given data
total friend = 4
total profit in the first month = 438
two months each friend profit = 184
solution
we consider here total profit second month is = x
so
profit second month = 184 × 4 - 438
x = 736 - 438
x = 298
so that here profit that car wash making the second month is 298
Heather made a shirt using 1/2 yards of green fabric & 1/3 yards of blue fabric. How many yards of fabric did she use in all ?
Work needs to be shown please someone help and don’t answer for your benefit with no intention to help
Answer:
[tex]\frac{x+3}{x+2}[/tex]
Step-by-step explanation:
[tex]\frac{x^2+10x+21}{x^2+9x+14}[/tex] Factor the expressions that are not already factored.
=
[tex]\frac{(x+3)(x+7)}{(x+2)(x+7)}[/tex] Cancel out x+7 in both numerator and denominator.
=
[tex]\frac{x+3}{x+2}[/tex]
y = 2x+3
2x + 5y = 3
SOLVE using substitution please show work !
Answer:
x= -1
Step-by-step explanation:
8 (n + 2) = __n + __
Answer:
The blanks are 8 and 16
Step-by-step explanation:
Distribute the 8:
8(n + 2) = 8*n + 8*2 = 8n + 16
What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
Answer:
(-6,4)
Step-by-step explanation:
-7-(-1)=-6
7-3=4
i don't understand. May you help?
Answer:
Step-by-step explanation:
Function rule:
y = 10(0.95)ˣ
If a function is given as,
y = a(b)ˣ
a represents 'Initial value'
b represents the growth factor
If 0 < b < 1, function is a decay function.
If b > 1, function is a growth function.
For 2 = 10(0.95)ˣ,
Here, b = 0.95 which is in the interval of 0 < 0.95 < 1
So it's a decay function.
[tex]\frac{2}{10}=(0.95)^x[/tex]
log(0.2) = log[(0.95)ˣ]
log(0.2) = x[log(0.95)]
-0.6989 = -x(0.0223)
x = 31.44
x ≈ 31
Meaning → For 'x' = 31, value of the function is 2.
For 8 = 10(0.95)ˣ,
0.8 = (0.95)ˣ
log(0.8) = log(0.95ˣ)
log(0.8) = xlog(0.95)
x = 4.35 ≈ 4.4
Means, at x = 4.4, value of the function was 8.
Mr. Lincon buys juice and water for the school picnic.A pack of 8 juice boxes costs 5 dollars. A pack of 6 water bottles costs 3 dollars. Mr Lincoln spends 95 dollars for 170 juice boxes and bottles of water
1V1 ME FOR A YOU TUBE VID NAME IS QT ZIHMIR YT
Answer:
OMG
Step-by-step explanation:
qt zihmir yt
Answer:
thanks for the points I maybe check your yt.
Step-by-step explanation:
PLEASE HELP ME PLEASEEEEEEEEEEE
A triangle is inscribed in a square, as shown. Write a simplified function r in terms of x that represents the area of the shaded region.
This is the same as (1/2)x^2 because 1/2 = 0.5
We could rewrite that into [tex]\frac{x^2}{2}[/tex]
=========================================================
Explanation:
The base of the white triangle (aka unshaded region) is x, while the height is also x
The area of the white triangle is
A = 0.5*base*height
A = 0.5*x*x
A = 0.5*x^2
The area of the entire square is x*x = x^2. Subtract off the area of the white triangle to get the area of the two blue shaded regions combined
shaded region = (square area) - (white triangle area)
shaded region = (x^2) - (0.5x^2)
shaded region = x^2 - 0.5x^2
shaded region = 1x^2 - 0.5x^2
shaded region = (1-0.5)x^2
shaded region = 0.5x^2
So the white triangle occupies half of the square, while the blue shaded region occupies the remaining 50% of the square.
Because 0.5 = 1/2, we can write this as (1/2)x^2, but I think using decimals in this case is easier.
PLEASE HELP ME I'LL MAKE UP BRAINLIST AND GIVE YOU 100 POINT!!
Answer:
55 pirates
121 pirates
Step-by-step explanation:
Every 11 pirates for one pirate ship.
5 * 11 = 55
Therefore, it would be 55 pirates
11 * 11 = 121
Therefore, it would be 121 pirates
If answered correctly, I will give brainliest and 30 points. i also need this asap.
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
First, let's find the equations for our lines:
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).
f(x) passes through (5,0) and (10, 10), then the slope is:
a = (10 - 0)/(10 - 5) = 10/5 = 2.
then we have:
y = 2*x + b
And when x = 5, we have y = 0.
0 = 2*5 + b
0 = 10 + b
b = -10
Then the equation for f(x) is:
y = f(x) = 2*x - 10.
Now for g(x) we have the points:
(3, 0) and (2, 10)
a = (10 - 0)/(2 - 3) = -10
y = -10*x + b
0 = -10*3 + b
b = 30.
y = g(x) = -10*x + 30.
A) Ok, the transformations:
Transformation 1 or T1.
f(x) = 2*x - 10
g(x) = -10*x + 30.
Then, we start with f(x):
First, we can move f(x) up 4 units and get:
f'(x) = 2*X - 6
Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:
f''(x) = -5*f'(x) = -10*x + 30.
And this is g(x).
Transformation 2 or T2.
Move f(x) up 10 units, so now we have:
f'(x) = 2*x
Do a reflection over the x-axis, so the sign of y changes, and now we get:
f''(x) = -2*x
Do a dilation of scale factor 5
f'''(x) = 5*-2*x = -10*x
Now do a vertical translation of 30 units up.
f''''(x) = -10*x + 30 = g(x).
These are two transformations that start with f(x) and end with g(x).
B) Ok, as i was writting the transformations i already solved them, so this part is already done.
C) the equation for the transformations are:
T1) g(x) = -5*(f(x) + 4)
T2) g(x) = -(f(x) + 10)*5 + 30
what number is one hundred more than 890
Answer:
990
Do 100+890
its simple math
The number that is one hundred more than 890 would be,
⇒ 990
The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that,
To find a number that is one hundred more than 890.
Let us assume that,
The number that is one hundred more than 890 = x
Hence, it can be written as,
⇒ x = 890 + 100
Solve for x,
⇒ x = 990
Therefore, the number that is one hundred more than 890 = 990
To learn more about the addition visit:
https://brainly.com/question/25421984
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Matthew drives at an average speed of 62mph for 5 hours how many miles does matthew drive?
Answer:
He drove 310 miles per hour
Step-by-step explanation:
So this means that in one hour he drives 62 miles
to find how much in five hours multiply 5 by 62
5x62=310miles
Answer:52
Step-by-step explanation:
0.03y=-0.01x+0.12
HALP
GRAPH PLEASE
HELLLLLLLLLLLLLLLLLLLLLLLLLLLP
Answer:
C
Step-by-step explanation:
x axis is the horizontal line, so count positive 6, not negative, from there. Then go 3 upwards since its positive 3 :)
What is the measure?
Find the difference (5x3-3x+6) - (2x2-4x+8)
Answer:
wait 3x+6?????
Step-by-step explanation:
Answer:
5x^3 -2x^2+x-2
Step-by-step explanation:
In the diagram below, AB and BC are tangent to O. What is the measure of
AC?
Answer: D. 112°
Step-by-step explanation: Just answered it...
The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.
What is circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
The line segment AB and BC are the tangents drawn to the circle,
The measure of angle CBA, ∠ CBA = 68°,
The measure of the major arc, AC = 248°,
Calculate the measure of the minor arc as shown below,
∠ CBA = Major arc - minor arc / 2 (Tangent circle theorem)
68 = 248 - AC / 2
68 × 2 = 248 - AC
136 = 248 - AC
AC = 248 - 136
AC = 112°
Thus, the measure of arc AC is 112°
To know more about circle:
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Answer ASAP this practice is due tomorrow
Answer:
i think it's Z = 8,4
I'm not sure
Right answer gets brainlist.
Answer:
2309
Step-by-step explanation:
V=[tex]\pi r^{2} h[/tex]
plug in
V=2309.07
What is the value of x?
in long division 42 divided by 966
i think you meant 42 divided by 966 but if it true, then its 1/23 in exact form but in decimal, its 0.04347826 ...
hope this helps :)
PLS HELP ASAP, I'll give BRAINLIEST
Find the length of the longest side of the triangle whose vertices are D(4,1), E(9,6) and F(5, -4).
Answer:
the answer is approximately 8.2 units.
what is the formula to calculate velocity?
Answer:
Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.
here is a picture.
I hope this helps.
ASAP like now I need help