A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 3
Step-by-step explanation:
y = mx + b
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] and "b" is y-intercept with coordinates (0, b)
(0, 3) ⇒ b = 3
(4, 1), (6, 0)
m = [tex]\frac{0-1}{6-4}[/tex] = - [tex]\frac{1}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x + 3
In the seventh grade, Rachel read 15 books.
In the eighth grade, she read 18 books.
Determine the percent of increase in the
number of books Rachel read.
Answer:
20%
Step-by-step explanation:
Calculate percentage change
from V1 = 15 to V2 = 18
(V2−V1)|V1|×100
=(18−15)|15|×100
=315×100
=0.2×100
=20%change
=20%increase
Answer:
20%
Step-by-step explanation:
In a catalog a dress was on sale for $49.56 this week. It regularly sells for $66.66. If the sales tax is 6% and shipping is below, what is the total amount you will save by ordering at the sale price?
Answer:
$18.13
Step-by-step explanation:
It is correct
help memememememe memememememe memememememe memememmeme
Answer:
43
Step-by-step explanation:
48/(2^3+4)*10.75
48/(8+4)*10.75
48/12*10.75
4*10.75
43
Answer:
It is 43
Step-by-step explanation:
What is the ratio of blue paint to red paint in the mixture?
Answer: I think the answer is 5:2 Hope This Helps
It's 5:3
Hoped I helped!
Have a wonderful day-
Bye!
Dos o más ángulos son_______________________ si la suma de sus medidas es 90°
Answer:
Dos ángulos son complementarios si la suma de sus medidas es igual a 90°.Y son suplementarios si la suma es 180°.
Please Help Quick ASAP Hurry This is Pre-Algebra 1
The table shows the low outside temperatures for Monday, Tuesday, and Wednesday.
What was the change in the low outside temperature from Tuesday to Wednesday?
Day Temperature (°C)
Monday -12.5
Tuesday -8.6
Wednesday -10
A.18.6°
B.-10°
C.-18.6°
D.1.4°
Answer:
d=1.4
Step-by-step explanation:
cuz 10-1.4=8.6
Answer:
D. 1.4
Step-by-step explanation:
-8.6 - (-10) = 1.4
Which equation represents the perpendicular
bisector of AB whose endpoints are A(8,2) and
B(0,6)?
Answer:
y = ½x + 2
Step-by-step explanation:
We are given the coordinates of the endpoint as;A(8,2) and
B(0,6)
The midpoint coordinates will be;
((8 + 0)/2, (2 + 6)/2) = (4, 4)
The slope of the midpoint using gradient formula will be;
m = (6 - 2)/(0 - 8)
m = 4/-8
m = -2
Thus, slope of a line perpendicular to the midpoint is;
m_p = -1/m
m_p = -1/-2
m_p = 1/2
Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;
y - 4 = ½(x - 4)
Multiply both sides by 2 to get;
2y - 8 = x - 4
Add 8 to both sides to get;
2y - 8 + 8 = x - 4 + 8
2y = x + 4
Divide through by 2 to get;
y = ½(x + 4)
y = ½x + 2
Write the equation of the line that has a slope of 2/3 and a y-intercept of 4 in slope-intercept form.
Answer:
y=2/3x + 4
Step-by-step explanation:
y=mx + b is the slope intercept form with b representing the y interept and m being the slope.
What is the slope of the line given by the function f (x) = 7 – 2x?
Answer:
I am not certain but I think it is -2 give that a try and hope it helps!
The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1
Given f(x) = 17x - 18, find x when f(x) = 33.
Answer:
f(x) = 17x - 18
y=17x-18
y=17(33)-18
y=561-18
y=543
f(x)=543
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Plug in 33 for f(x) into the first equation:
33 = 17x - 18
17x = -51
x = -3
You have 5814 meters of rope you need to cut into 27 sections how many 27 meters secton of rope will you be able to create and how much rope will be left over as waste
Answer:
215 sections of rope that measure 27 meters in length, and you also have 9 meters of rope left
Step-by-step explanation:
we have 5,814 meters of rope and we are told to calculate the number of 27 meters sections that we can cut:
you have to divide 5,814 meters by 27 meters = 215.333
that means that you have 215 sections of rope that measure 27 meters in length, and you also have 9 meters of rope left (0.333 x 27 = 9)
HURRYYYYY!!!!
Which system of linear inequalities is graphed?
what is the y-intercept of (5,8) and (12,36)
Answer:
The y intercept is (0,-12)
Step-by-step explanation:
You use the slope formula and the slope-intercept form to find the slope m and then the y intercept b.
Answer:
(0, -12)
Step-by-step explanation:
In order to find the y-intercept of the equation y = mx + b ( where m is the slope and b is the y-intercept), we first have to find the slope. We can do this by using the two points given to us.
To find the slope:
The slope is equal to: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Let's plug (5,8) and (12,36) into the equation:
[tex]\frac{36 - 8}{12 - 5}[/tex]
Now let's solve for the slope:
36 -8 = 28
12 - 5 = 7
So we get: [tex]\frac{28}{7}[/tex]
Now that we've found the value of the slope, we can put it into the equation:
y = [tex]\frac{28}{7}[/tex]x + b
To find the value of b, we can input the values of one of the given points into the equation and solve for b. Let's use (5,8):
Input the values of x and y into the equation: 8 = [tex]\frac{28}{7}[/tex](5) + b
Multiple [tex]\frac{28}{7}[/tex] by 5: 8 = [tex]\frac{140}{7}[/tex] + b
Divide 140 by 7: 8 = 20 + b
Subtract 20 from both sides of the equation to isolate b:
8 - 20 = 20 - 20 + b
-12 = b
The y-intercept is (0, -12).
which two fractions would make 1/8 plz help
Answer:
1/3 and 5/15
Step-by-step explanation:
what is the value for both of these ? need help asap
Answer:
Question 3) x=32
Question 4) x=30
Step-by-step explanation:
180-122=58
180-58-90=32
180-130-20=30
i need a good grade please
Answer:
A is not correct
Step-by-step explanation:
angle GHK is a vertical angle but Jhi is not
PLEASE HELP URGENTLY!!! I WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT.
Answer:
f(-2) = -1
Step-by-step explanation:
Look at x = -2 and find the value of y.
Solve this equation.
24 + 0.44x = 19 + 1.69x
Answer:
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 + 0.44x - 1.69x = 19
-1.25x = 19 - 24
-1.25x = -5
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 - 19 = 1.69x - 0.44x
5 = 1.25x
1.25x = 5
x = 5/1.25
= 4
Estimate 38 3/22 - 14 29 by rounding each number to the nearest whole number
Answer:
600
Step-by-step explanation:
8(4y - 3) + 2(y - 5)
Answer:
34y-34
Step-by-step explanation:
Expand:
32y-24+2y-10
=34y-34
Answer:
34y-34 or 34(y-1) whichever is better for you specifically
Step-by-step explanation:
distribute so 32y-24+2y-10 then simplify like terms so 34y-34 or 34(y-1)
For questions 1 - 2, use the distributive property to find the product of the binomials.
1. (x - 4)(2x + 5)
2. (4x - 2)(x-3)
Please make is simple to understand.
Answer:
1). 2x^2-3x+20
2). 4x^2-14x+6
Step-by-step explanation:
1. (x-4)(2x+5)
FOIL:
(x)(2x)+5(x)-8(x)+(4)(5)
2x^2+5x-8x+20
=2x^2-3x+20
2. (4x-2)(x-3)
FOIL:
(4x)(x)-(3)(4x)-2(x)-2(-3)
4x^2-12x-2x+6
=4x^2-14x+6
plz help
Functions f, g, and h are defined as follows: f(x) = x +1, g(x) = x^2 +1, and h(x) = x^3 +1.
(a) Find the inverse of function g(x).
(b) Find f(h(-2))
(c) Find g(f(3)
Answer:
a. let the gx be x
g(x) = x^2+1
or, x^2+1=y
or, x^2= y-1
:. x=2 root y-1
inter changing the relation of xand y
:. x=2 root y-1
:. g-1(x)= 2root x-1
b.
Of all the items on the pizza, enter the fraction that is mushrooms.
---------------
Answer:
2/3
Step-by-step explanation:
Can someone help me ????
12. Antara yang berikut, yang manakah terlibat dalam sistem mekanikal pintu gelangsar
automatik.
I Menerima dan menukar isyarat input dari alat kawalan jauh.
II Terdiri daripada takal dan tali sawat.
III Berfungsi untuk membuka dan menutup pintu.
IV Gear pada motor membantu pergerakan mudah.
A I, II, dan III
C I, III, dan IV
B I, II, dan IV
D II, III, dan IV
The average daily attendance at the Lincoln school was 348 students during the month of March. If the month has 21 school days what was the total attendance?
Define a variable, write an equation, then solve.
Answer:
7308
Step-by-step explanation:
348 times 21 = 7308
Sorry if this is wrong.
I need help plzzzzzzzzzzzzzzzzz
Answer:
x=21
Step-by-step explanation:
I think we are supposed to assume that is a right angle which means 90-6= 84
84/4= 21
What is the slope of the line on the graph?
Answer:
[tex]m=6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (1, 5)
Point (0, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-5}{0-1}[/tex]Subtract: [tex]m=\frac{-6}{-1}[/tex]Divide: [tex]m=6[/tex]