Given a y-intercept of (0,4) and a slope of —2, write the equation of the line.
Answers
Answer:
[tex]y = -2x + 4[/tex]
Step-by-step explanation:
Slope intercept form is a way of expressing the equation of a line such that both the slope and the y-intercept are given. The general equation of a line in slope-intercept form is; ( [tex]y = mx + b[/tex] ). Where coefficient ( [tex]m[/tex] ) is the slope of the line, and constant ( [tex]b[/tex] ) is the y-intercept. In this problem, one is given both the slope and the y-intercept, one simply has to substitute in the values.
[tex]y = -2x + 4[/tex]
Answer: here is the answer
Related Questions
Need help immediately
What is the equation of the line shown?
Answers
Denote the set below by set-builder notation, using x as the variable.
{1,3,5, ..., 67}
Choose the correct answer below.
O A. {x|x is even natural numbers less than 68}
B. {x|x is an odd natural number less than 68}
C. {x|x is an odd natural number between 1 and 67}
D. {x|x is an odd natural number greater than 1}
Answers
Answer:
C. {x|x is an odd natural number between 1 and 67}
Step-by-step explanation:
B and C is also correct if the natural number is defined to be started with 1: positive integer,
but if it's defined to be non-negative real number then only C
Set-builder notation of the given set is {[tex]x | x[/tex] is an odd natural number less than [tex]68[/tex]}.
What is set?
" Set is defined as the collection of the given object with certain properties."
According to the question,
Given set,
[tex]\{1,3,5, ..., 67\}[/tex]
[tex]'x'[/tex] represents the variable
A. {[tex]x | x[/tex] is an even natural numbers less than [tex]68[/tex]}.
Even numbers are multiple of 2, given set does not represents set of even numbers.
Option(A) is not the correct answer.
B. { [tex]x | x[/tex] is an odd natural number less than [tex]68[/tex]}.
[tex]\{1,3,5, ..., 67\}[/tex] represents set of odd numbers , all numbers are less than 68.
Hence, Option (B) is the correct answer.
C. {[tex]x |x[/tex] is an odd natural number between [tex]1[/tex] and [tex]67[/tex]} means [tex]\{ 3, 5, 7,...., 65\}[/tex]
Here between [tex]1[/tex] and [tex]67[/tex] excludes [tex]1[/tex] and [tex]67[/tex]. But in the given set [tex]1[/tex] and [tex]67[/tex]
are included.
Option (C) is not the correct answer.
D. {[tex]x |x[/tex] is an odd natural number greater than [tex]1[/tex]} means [tex]\{ 1, 3, 5,...........\}[/tex]
Here this set goes till infinity.
Option (D) is not the correct answer.
Hence, Option (B) is the correct answer.
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A sinusodial function whose frequency is 3, maximum value is 12, minimum value is -6 has a y-intercept of 3.
What function could be the function described
Answers
Answer:
f(x)=9sin(6πx)+3
21. Which is the correct answer
Note: (if you give me a silly or absurd answer I will report you)
Answers
Answer:
Step-by-step explanation:
Jajajjajajjaajajajajajja
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answers
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
There is a scale model of the White House in Tobu World Square in Japan. The scale used for the model is 1:25. The height of the main building of the White House is 85 feet. Find this height on the model. (3.4 feet)
Answers
Answer:
3.4 multiply 1-4
Step-by-step explanation:
there is a scale of white house
State the domain and range of the relation given in the table below, and determine if it is a function,
х 16 -8 4 1 -8 7
y 8 -6 -14 -9 7 24
Domain: {
Range:{
Is the relation a function?
O No
OYes
Answers
what is the answer to this? x+2x+5
Answers
Answer:
3x+5
Step-by-step explanation:
You just have to combine like factors.
Hope this helps! Have a good day!
Kate's employer will reimburse her $0.45 per
mile that she drives for work-related purposes.
She drove 21.4 miles for personal reasons
last week and the rest for work purposes.
How much will she be reimbursed?
Answers
(189.4 - 21.4)0.45 = amount she will be reimbursed.
168 x 0.45 = $75.60
Let me know if you have questions, or if I mis-typed the total mileage.
There are 175 glasses ellen need to wash she washes 68% of the glasses . How many glasses does Ellen have left to wash
Answers
Answer:
175-119= 56
Step-by-step explanation:
because 68%of 175 = 119
so she has washed 119 and 56 are left
Help please!
Store A sells jeans for 7/8 of the price at Store B. Store A sells jeans
for $35. Write and solve an equation to find how much you save by
buying jeans at Store A.
Answers
Answer:
35/(7/8)=
35*8/7=40 store B
40-35=$5 Saved
Step-by-step explanation:
Hope this helps :D
How many triangles can you make with the following sides: 1,3,10
PLS HELP ME ASAP I NEED HELP-
20 PTS.
Answers
n
. First count the triangles that point up. This is easy to do if you count them by top vertex. Each vertex in the picture is the top of one triangle for every horizontal grid line below it. Thus, the topmost vertex, which has
n
horizontal gridlines below it, is the top vertex of
n
triangles; each of the two vertices in the next row down is the top vertex of −1
n
−
1
triangles; and so on. This gives us a total of
∑=1(+1−)=12(+1)2−∑=12=12(+1)2−16(+1)(2+1)=16(+1)(3(+1)−(2+1))=16(+1)(+2)=(+23)
∑
k
=
1
n
k(n+1−k) =
1
2
n(n+1
)
2
−
∑
k
=
1
n
k
2
=
1
2
n(n+1
)
2
−
1
6
n(n+1)(2n+1) =
1
6
n(n+1)
(
3(n+1)−(2n+1)
)
=
1
6
n(n+1)(n+2) =
(
n
+
2
3
)
upward-pointing triangles.
The downward-pointing triangles can be counted by their by their bottom vertices, but it’s a bit messier. First, each vertex not on the left or right edge of the figure is the bottom vertex of a triangle of height 1
1
, and there are
∑=1−1=(2)
∑
k
=
1
n
−
1
=
(
n
2
)
of them. Each vertex that is not on the left or right edge or on the slant grid lines adjacent to those edges is the bottom vertex of a triangle of height 2
2
, and there are
∑=1−3=(−22)
∑
k
=
1
n
−
3
k
=
(
n
−
2
2
)
of them. In general each vertex that is not on the left or right edge or on one of the ℎ−1
h
−
1
slant grid lines nearest each of those edges is the bottom vertex of a triangle of height ℎ
h
, and there are
∑=1+1−2ℎ=(
Which exponential functions have been simplified correctly? Check all that apply.
f(x) = 53/16* = 5(23/2)*
F(x) = 2.310 Ž* = 2.3(43*
F(x)=81-34
OfW) = 27' = (3/3)*
Orx)=(24) ** = 2(13)
Answers
Answer:
A, C, and D are the exponential functions that have been simplified correctly
Consider the given piece wise-function
Answers
9514 1404 393
Answer:
a) -1
b) 4A -3
Step-by-step explanation:
a) The function for x < 2 simplifies to ...
f(x) = (x -3)(x -2)/(x -2)
f(x) = x -3
Then f(2-) = 2 -3 = -1
The limit is -1.
__
b) The value for x=2 is ...
f(2) = A(2^2) -4(2) +5
f(2) = 4A -3 . . . . the limit at x→2+
Under her cell phone plan, Ellie pays a flat cost of $50 per month and $5 per
gigabyte. She wants to keep her bill under $70 per month. Write and solve an
inequality which can be used to determine g, the number of gigabytes Ellie can use
while staying within her budget.
Answers
Answer:
She can use 4GB of data
You keep on adding five dollars on top of 50 until you reach 70.
The table below models a exponential function. Find f(8)
Answers
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1
Sieve started saving a file on her computer at
6:10 p.m. and it took 34 minutes to copy the
file. What time did the file get copied?
Answers
Answer:
it got copied at 6:44 pm
HURRY PLEASE!! Find the missing side, m.
Answers
Answer:
m=18
Step-by-step explanation:
If 10 is 15. The scale factor is 150%. Times 10 by 1.5 to get 15. Times 12 by 1.5 to get 18.
Please help!!!
Can someone find out what a, b, c, and d is??
Answers
Answer:
a=64
b=112
c=78
d=88
Step-by-step explanation:
hope this helps have a nice day !!!
Find the area of the figure. Round to the nearest tenth if necessary.
Answers
Answer:
63 sq ft
Step-by-step explanation:
The formula for the area of a trapezoid is
A = h(a + b)/2 where a and b are the lengths of the parallel sides and h is the distance between them
A = 7(11 + 7)/2
= 7(18)/2
= 63 sq ft
Find the area of the shape
Answers
Answer:
I think the answer is 672 please be right
(14-8=6)
So 6x6 =36
48+36=84cm^2
HELLPP! SOMEONE HELLPPPP : /
Answers
Answer:
4e²f(5e³f-4)
Step-by-step explanation:
Question 3
Name the transformations of the next equation y
Answers
Answer:
1غىخةضهاثضخ
Step-by-step explanation:
ى7غ-3ص0ض49ة=
HELP PLZ will mark as brainlest
Answers
Answer:
1 6/7
Step-by-step explanation:
tingnan ang pattern.isulat sa sagutang papel ang nawawalang bilang. 1._1000_2000,3000 2.6330,6333,_6336_6339 3.650_750_850,950 4.7228_230_,7232,7234 5.2015,2018_2021_2024
Answers
Find the measure of
Answers
Answer:
the measure of what?????
What is 10/12 - 4/12?
Answers
the answer is 1/2.
if you simplify 3/6 you can find the solution.
Answer:
1/2
Step-by-step explanation:
the fractions have like denominators, so subtract the numerators
10-4/12 = 6/12
simplify
6/12 = 1/2
What are the possible values of x? Select all that apply
Answers
Answer:
the answer is b
Step-by-step explanation:
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"
You spent $2000 on new furniture. The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments. How much are the monthly payments?
Answers
Answer:
100$
Step-by-step explanation:
400/4 = 100
HOPE THIS HELPS
Plzz mark brainliest
If spent $2000 on new furniture. The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments. Then $400 is the monthly payments
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Spent $2000 on new furniture.
The local furniture store allows you to make a down payment of $400 and then pay the remaining balance in four equal monthly payments
The remaining balance can be calculated
$2000-$400=$1600
Now $1600 is to be paid in four months
Divide $1600 by 4 as we have to pay it in 4 months
1600/4
400 per month.
Hence $400 is the monthly payment.
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NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 139t + 185,
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after
seconds.
How high above sea level does the rocket get at its peak?
The rocket peaks at
meters above sea level.
Answers
Answer:
the splash down occurs when h(t) = 0
0 = -4,9t2 + 139t + 185
using the quadratic formula,
t = -1.27 or 29.64 seconds
since time can't be negative
t = 29.64 secs
at the peak, h(t) is maximum
applying calculus,
[d{h(t)}}/dt = -9.8t + 139
at h(t) maximum, [d{h(t)}}/dt is 0
0 = -9.8t + 139
9.8t = 139
t = 14.18 secs
substituting,
h(t) = – 4.9t2 + 139t + 185
h(t) = -4.9(14.18^2) + 139(14.18) + 185
= 1170.77 m
Answer:
Step-by-step explanation:
y = ax² + bx + c
D = b² - 4ac
[tex]x_{12}[/tex] = ( - b ± √D ) ÷ 2a
[tex]y_{max}[/tex] = - [tex]\frac{b}{2a}[/tex]
~~~~~~~~~~~~~
h(t) = - 4.9t² + 139t + 185
- 4.9t² + 139t + 185 = 0
D = 139² + 4(- 4.9)(185) = 22947
[tex]t_{12}[/tex] = ( - 139 ± √22947) ÷ 2(- 4.9)
[tex]t_{1}[/tex] ≈ 29.641 ≈ 30 seconds
[tex]t_{2}[/tex] < 0
[tex]h_{max}[/tex] = - 4.9( [tex]-\frac{139}{2(-4.9)}[/tex] )² + 139( [tex]-\frac{139}{2(-4.9)}[/tex] ) + 185 ≈ 1170.7653 ≈ 1171 meters