Write the equation of the line passing through the points (10, 50) and (25, 20).
Answers
To write the equation, we need the slope and y-intercept.
Remember that slope is the same as rate of change
or the change in y over the change in x.
Start by setting up a table with x and y values
which I have provided below.
Filling out our table, our given points are (10, 50) and (25, 20).
In the y column, we can see that the value of y
goes from 50 to 20 so it decreases by -30.
This means that the change in y is -30.
In the x column, we can see that the value of x goes from 10 to 25
so it increases by 15 which means that the change in x is 15.
So the rate of change is -30/15 which simplifies to -2.
To find b, we can use any ordered pair
in our table as the values for x and y.
Let's use the first ordered pair.
So we have 50 = -2(10) + b.
Solving from here, we get 50 = -20 + b.
Now add 20 to both sides to get 70 = b.
So if our slope is -2 and our y-intercept is 70,
we can substitute these values into our formula.
This gives us y = -2x + 70.
Related Questions
Analyze the graphed function to find the local minimum and the local maximum for the given function. Which statements about the local maximums and minimums for the given function are true? Choose three options. Over the interval [1, 3], the local minimum is 0 Over the interval [2, 4], the local minimum is –8. Over the interval [3, 5], the local minimum is –8. Over the interval [1, 4], the local maximum is 0. Over the interval [3, 5], the local maximum is 0.
Answers
Answer:
Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.
Step-by-step explanation:
Answer:
B,C,D
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Hakeem wants to be a professional basketball player. He is currently a junior and is taking physics. Mrs. Martin, his teacher, tells him that she can predict exactly when his three-point shot will return to the ground before Hakeem even takes the shot. Mrs. Martin tells Hakeem that the path of his ball can be modeled by the equation below, where t is the time in seconds after he throws the ball, and h is the height of the ball in feet. If Hakeem makes a three-point shot, how long will it take for his ball to return to the ground? (Round the time to the nearest second.)
A. The basketball will return to the ground 19 seconds after being shot.
B. The basketball will return to the ground 2 seconds after being shot.
C. The basketball will return to the ground -1 seconds after being shot.
D. The basketball will return to the ground 1 seconds after being shot.
Answers
Answer:
Answer is B
Step-by-step explanation:
C) -1 seconds is back into the past by 1 second, which makes it wrong
A) 19 seconds for a ball to be in the air? That's too long
D) 1 Second isn't enough for the ball to either go through the hoop or do anything unless he just let it go from the height of the hoop.
Scott found the area of the shape to
be 30 square units. If he used a unit
square with longer sides, would his
area measurement be greater than
30 square units or less than 30 square
units? Explain.
Answers
Answer:
So if we do this to the area of Scott's shape, the result will be less than 30 squares units.
Step-by-step explanation:
If a shape has "x" square units, it means that we can fit that number of squares with side length of one unit in that given shape. For the case where we change the unit, we are changing the length of the square's sides, if the new one has greater sides, then it means that the square is bigger, therefore for the same shape we will be able to fit less squares. So if we do this to the area of Scott's shape, the result will be less than 30 squares units.
For each line, determine weather the slope is positive, negative, zero, or undefined.
Answers
Answer:
Below in bold.
Step-by-step explanation:
A horizontal line has zero slope and a vertical line undefined
In order they are: Zero, undefined, negative positive
Answer: The first one is zero, the second one is undefined, the third one is negative, and the fourth one is positive.
Step-by-step explanation:
PLZ HELP ASAP WILL GIVE BRAINLIEST- If the perimeter of the triangle is 91 inches, what is the length of the base? -Picture Below!
Answers
Answer:
Base = 35 inch
Step-by-step explanation:
Given that the triangle is an isosceles triangle;
The length of the two sides is: 12b - 8
The length of the base is: 9b + 8
Perimeter = 91 inches
Required
Calculate the length of the base;
The perimeter of a triangle is gotten by adding the length of the three sides.
So, in this case; we have
[tex]Perimeter = 12b - 8 + 12b - 8 + 9b + 8[/tex]
Collect like terms
[tex]Perimeter = 12b + 12b + 9b - 8 - 8 + 8[/tex]
[tex]Perimeter = 33b - 8[/tex]
Substitute 91 for Perimeter
[tex]91 = 33b - 8[/tex]
Add 8 to both sides
[tex]91 + 8 = 33b - 8 + 8[/tex]
[tex]99 = 33b[/tex]
Divide both sides by 33
[tex]\frac{99}{33} = \frac{33b}{33}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Recall that the base of the triangle is 9b + 8
Base = 9b + 8
Substitute 3 for b
Base = 9(3) + 8
Base = 27 + 8
Base = 35 inch
A carnival ride is in the shape of a wheel with the radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive full credit.
Answers
Answer:
α = 12°
L = 6.28 ft
[tex]A = 94.25 ft^2[/tex]
Step-by-step explanation:
The wheel contains 30 cars attached to it.
The wheel is in the shape of a circle and a circle has 360°.
Therefore, the angle between any two cars will be:
360 / 30 = 12°
The length of the arc between two cars is given as:
[tex]L = \frac{\alpha }{360} * 2\pi R[/tex]
where α = central angle of sector
R = radius of circle
Given that the radius of the wheel is 30 feet, the length of the arc is:
[tex]L = \frac{12}{360} * 2 * \pi * 30\\\\L = 6.28 ft[/tex]
The area of a sector is given by:
[tex]A = \frac{\alpha }{360} * \pi R^2[/tex]
Therefore, the area of the sector between any two cars is:
[tex]A = \frac{12}{360} * \pi * 30^2\\\\A = 94.25 ft^2[/tex]
Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph of y equals 4 x plus 5y=4x+5. Write the equation in slope-intercept form, if possible.
Answers
Answer:
The equation for the new line in slope-intercept form is:
[tex]y=4x+2[/tex]
Step-by-step explanation:
Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)
We are also given a point the new line should go through : "(1, 6)"
So we can use the "point-slope" form of a line to find the equation of this new line:
[tex]y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0[/tex]
which for our case is:
[tex]y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2[/tex]
30 POINTS!!!!!Which of the following expressions has a value that is less than - 1/2 ? Select all that apply.
A + B
0 - E
B + D
E - F
C - A
Answers
Answer:
2, and 4 and 5 are possible solutions.
Step-by-step explanation:
It's not confirmed that 4 and 5 are, but they could be. 2 is a definite, unless E=.002 or something like that.
Find the indicated values g(t)=t^2-t and f(x)=1+x g(f(2)+3)
Answers
Answer:
g( f(2)+3) = 30
Step-by-step explanation:
step(i):-
Given function g(t)=t²-t and f(x)=1+x
given f(x)=1+x
f(2) = 1 + 2 =3
step(ii):-
g( f(2)+3) = g(3 + 3)
= g(6)
= (6)² - 6
= 36 -6
= 30
Conclusion:-
g( f(2)+3) = 30
) Which expression represents the change in the
ship's location?
15
14-
2.4
13-+
12-1
11-
•) What is 2-4?
10-+
9
2-4=
8
8-
7
6
•) Which expression represents the change in the
ship's location?
5
4
3 +
2+(-4)
2 +4
2-(-4)
2.4
Answers
Answer:
5
Step-by-step explanation:
5677777273882828282929929282828828828×4=5
answer:
2*4
explanation:
2*4=8.000000000000000000000000
30 points!!!
Find the value of x. sin 62°=7x
Answers
Answer:
Step-by-step explanation:
x = 0.12613537
220 meters = ________ centimeters
Answers
Answer:
220 meters=22000 centimeters
Step-by-step explanation:
Hope this helps!!! :)
Help me ASAP i always give brainliests, and thanks i need u!
Please answer the following not complicated question on finding x
Answers
Answer:
4. [tex]11.333...[/tex]
Answer:
Answer is (4) -11.333
Step-by-step explanation:
multiply : 2x /12-4/3= 4x /15 -1/5
bring variable on one side :
2x/12 -4x/15= 4/3 - 1/5
common denominator : -6x/60=17/15
simplify : -x/10= 17/15
x= - 170/15= -11.3333
could someone help me answer this question?
Answers
Answer:
The answer is A I'm pretty sure
Answer is A.
Hope this helps.
PLEASE HELP ME OUT PLEASE PLEASE IT WOULD BE HELPFUL THANK YOU
Answers
Answer:
D
Step-by-step explanation:
Starts with 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
and so on
does anyone know this?
Answers
Answer:
16x
Step-by-step explanation:
What goes in the box is
4x * 4
16x
What are the ratio as a fraction for 4:6
Answers
Answer:
[tex]\frac{4}{6}[/tex]
Step-by-step explanation:
or 4 over 6
i think this is right and i hope it helps:DThe multiplication property of equality could be used to solve which of the following equations?
4x = 5
X + 5 = -4
8/X= 1
(x + 5)(4x - 1) = 0
Answers
Answer:
8/X= 1
Step-by-step explanation:
"8/X= 1" requires the multiplication property of equality for 'x' to get solved.
[tex]\frac{8}{x}=1\\\\\frac{8}{x}*x=1*x \leftarrow\text{Multiplication Property of Equality}\\8 = x \\\\\boxed{x=8}[/tex]
Answer:
Step-by-step explanation:
I would probably say C which is 8/X= 1.
The first one uses the division property of equality.
The second uses the subtraction property of equality.
The third uses multiplication property of equality, which basically means mulitplying both sides of an equation by the same quantity.
The last one does not follow any property that I am aware of or am acquainted with.
The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?
Answers
119.80$
Step-by-step explanation:
if you add 15% to 104.17 is equal to 119.80
The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?
Answer:
Actually, the answer is $694.47
Step-by-step explanation:
You use the equation % over 100 = is over of
so you put
15 $104.17%
- = -
100 x
cross multiply the $104.17 by 100 and divide by 15
Mrs. Dombrowsky bought 27 books for the
class. What was the cost for one book if she
spent a total of $67.50?
Answers
Answer:
$2.50
Step-by-step explanation:
67.50/27 = 2.50
Answer:
$2.50
67.50/27 = 2.50
Step-by-step explanation:
Which statement best describes how to determine where f(x)=x^2-x+8 is an even function
Answers
Answer:ogros reconocer a negra denda como el me de una sumatoria que permite calcular ... Como vimos, entre más subdivisiones del intervalo tomemos, mejor será la ... que la aproximan y luego determinar a qué valor tiende el área cuando n ... n k=1 1 ( kYo 1 - — lí X +- o = + (Vé ejemplo 8. a-na-n X () 3 (véase e eje plo 8.)
Step-by-step explanation:
Which of the following statements best describes adjacent angles?
Adjacent angles are vertical.
O Adjacent angles are supplementary.
Adjacent angles share interior points.
Adjacent angles share a side.
Answers
Answer:
(d) Adjacent angles share a side.
Step-by-step explanation:
Adjacent angles share a side and a vertex, but do not share any interior points. The appropriate choice is ...
Adjacent angles share a side.
Answer: D: Adjacent angles share a side
Step-by-step explanation: Hope that helped
PLEASE HELP THIS IS URGENT I AM BEING TIMED!!
Four children have the following weights: 45.5 pounds, 61 pounds, 37.2 pounds, and 16.34 pounds. What is the average weight of the children?
Answers
Answer:
40.01 lb
Step-by-step explanation:
mean:
(45.5+61+37.2+16.34)/4
160.04/4
40.01
Answer:
40.01
Step-by-step explanation:
First add all of the weights together and it should give you 160.04 divide that by 4 children and there is your answer
The table shows the function representing the height in the area of the base of a rectangular prism for different values of X the volume of the prism when X = 3 is 36 which equation can be used to represent the volume of the prism, v(x)?
Answers
Answer:
A
can i have brainliest lol
Step-by-step explanation:
when x = 3, the volume is 36.
4 times 9 = 36, so you multiply f(x) by g(x) to get 36
Find the surface area and volume of a rectangular prism with the following dimensions: Length = 9 cm, Width = 5 cm, Height = 6 cm
Answers
Answer:Area=258cm square
Step-by-step explanation:
Length:9 cm
Width:5 cm
Height:6 cm
=A=2[wl+hl+hw]=2.[5.9+6.9+6.5]=258 cm square
Can someone please tell me what the slope of the line in this graph is!!!!!!
Answers
Answer:
-1/3 I think
Step-by-step explanation:
I find the slope by finding 2 points where the line hits. I then just count up and across. Could be wrong :/
Hope this helps though :)
Answer:
slope = y2-y1
x2- x1
= 4-2 = 2
6-0. 6
= 1/3
what is -7/8- (-5/6) in simplest form
Answers
Answer:
-1 /24
Step-by-step explanation:
-7/8 - (-5/6)
Subtracting a negative is like adding
-7/8 + 5/6
Get a common denominator
-7/8 * 6/6 + 5/6 *8/8
-42/48 + 40/46
-2/48
-1/24
I don’t need you to explain just answer.
Answers
Answer:
[tex]\frac{2(3)+6^2}{6} =42/6=7[/tex]
Answer:
7
Step-by-step explanation:
plug in the values of the variables and use order of operations.
2·3+6^2/6
2·3+36/6
6+36/6
42/6
7
Write the slope-intercept form of the equation. 2y+5x=–1
Answers
Answer:
y=-5/2x-1/2
Step-by-step explanation:
HOPE THIS HELPS:)
STAY SAFE:)
Consider the function.
f(x) = 2 1/2 - 3 1/3x
What is the x-intercept of f-1(x)?
(-3 1/3,0)
(-3/10,0)
(3/4,0)
( 2 1/2, 0)
Answers
Answer: (2 1/2, 0) (the last option)
Step-by-step explanation:
I guess the function is:
f(x) = (2 1/2) - (3 1/2)*x
now, the rule for f-1(x) that we know is:
f-1( f(x) ) = x.
So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)
f-1(f(0)) = 0.
And we have that f(0) = (2 1/2) - (3 1/3)*x = 2 1/2
This means that the x-intercept of f-1(x) will be when x= 2 1/2, so the intercept is:
(2 1/2, 0)
Answer: the answer is D
Step-by-step explanation:
big fat smelly ballsack