Answer:
[tex]y = -\frac{1}{4}x - 2[/tex]
Step-by-step explanation:
i'm not sure if you're trying to find the equation of the line ?? but i'll assume that's the case and find the slope-intercept form equation of the line.
slope intercept form is [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept. since the slope is already identified, you can plug in [tex]-\frac{1}{4}[/tex] for [tex]m[/tex].
[tex]y = mx + b[/tex] ⇒ [tex]y = -\frac{1}{4}x+b[/tex]plug in the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair that passes through the line, which is (-4, -1). you can start with either [tex]x[/tex] or [tex]y[/tex], but i'm going to start with [tex]x[/tex].
first, plug in [tex]-4[/tex] for [tex]x[/tex].
[tex]y = -\frac{1}{4}x+b[/tex] ⇒ [tex]y = -\frac{1}{4}(-4)+b[/tex]now plug in [tex]-1[/tex] for [tex]y[/tex].
[tex]y = -\frac{1}{4}(-4)+b[/tex] ⇒ [tex]-1 = -\frac{1}{4}(-4)+b[/tex]after plugging in all of the given values, the equation is now [tex]-1 = -\frac{1}{4}(-4)+b[/tex], in which you need to solve for [tex]b[/tex].
now it's time to solve! begin by multiplying [tex]-\frac{1}{4}(-4)[/tex] in order to simplify the right side of the equation.
[tex]-\frac{1}{4}(-4) = 1[/tex]you now have [tex]-1 = 1 + b[/tex]. subtract 1 from both sides of the equation. on the right side, it cancels itself out, leaving you with [tex]b[/tex]. on the left side of the equation, you now have [tex]-1 - 1[/tex], which equals [tex]-2[/tex].
therefore [tex]-2 = b[/tex], or [tex]b = -2[/tex].
now that you've solved for your [tex]b[/tex] value, plug it into your initial slope-intercept form equation!
[tex]y = -\frac{1}{4}x + b[/tex] ⇒ [tex]y = -\frac{1}{4}x - 2[/tex]if you want to check to make sure that the values are correct, plug (-4, -1) into your completed slope-intercept form equation. as you did in the beginning, plug in [tex]-4[/tex] for [tex]x[/tex] and [tex]-1[/tex] for [tex]y[/tex].
[tex]y = -\frac{1}{4}x - 2[/tex] ⇒ [tex]-1 = -\frac{1}{4}(-4) - 2[/tex]begin simplifying by multiplying [tex]-\frac{1}{4}(-4)[/tex].
[tex]-1 = -\frac{1}{4}(-4) - 2[/tex] ⇒ [tex]-1 = 1 - 2[/tex]subtract [tex]1 - 2[/tex].
[tex]-1 = 1 - 2[/tex] ⇒ [tex]-1 = -1[/tex]since both sides of the equation are equal, that means your [tex]b[/tex] value of [tex]-2[/tex] is correct because it makes the equation true!
aaaand there you go! i hope this helps. have a great day! <3
ILL GIVE YOU BRAINLIEST
Answer:
ITS A 100% B
15z-12
Step-by-step explanation:
r + 8 > 21 what the ansr
Answer: r>13
Step-by-step explanation:
The sign is less than so r +8 has to be 20 or less.
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Answer: x = 1 and y = 2
Step-by-step explanation:
Solve for y in the first equation by adding 2x to both sides
[tex]y=2x[/tex]
Then plug this in for the y value in the second equation
[tex]3x+4(2x)=11[/tex]
Combine like terms and simplify
[tex]3x+8x=11\\11x=11\\x=1[/tex]
Plug x into either equation to find the y value
[tex]y=2x\\y=2(1)\\y=2[/tex]
PLEASE HELP!!!! DUE TODAY!!!
Bidet used a computer algebra system (CAS) to find the quotient of (4x^3+2x^2+3x+5)^2 and x^2+3x+1. Which statement correctly shows a way to enter this problem into a CAS?
A. Division[4x^3+2x^2+3x+5^2, x^2+3x+1]
B. Division[ (4x^3+2x^2+3x+5)^2] [x^2+3x+1]
C. Division[ (4x^3+2x^2+3x+5)^2, x^2+3x+1]
D. Division[2 (4x^3+2x^2+3x+5), x^2+3x+1]
=============================================================
Explanation:
It honestly depends on the CAS program, but for GeoGebra for instance, the general format would be Division[P, Q]
Where,
P = numerator = (4x^3+2x^2+3x+5)^2Q = denominator = x^2+3x+1As another example, let's say we want to divide x^2+5x+6 all over x^3+7 as one big fraction
We would type in Division[x^2+5x+6, x^3+7]
Is 6 a factor of 327 + 8?
could someone answer this pls thank u
Given:
The area model.
The area of the shape is 82 square units.
To find:
The correct equation for the given situation.
Solution:
We know that, area of a rectangle is
[tex]Area=Length \times Width[/tex]
The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is
[tex]A_1=(x)\times (3x)=3x^2[/tex]
[tex]A_2=(x)\times (4)=4x[/tex]
[tex]A_3=(3)\times (3x)=9x[/tex]
Now, the total area is equation to 82 square units.
[tex]A_1+A_2+A_3=82[/tex]
[tex]3x^2+4x+9x=82[/tex]
[tex]3x^2+13x=82[/tex]
Since the required equation is [tex]3x^2+13x=82[/tex], therefore, the correct option is C.
18
Calculate the following leaving your answer in standard form.
(1 Point)
[tex]3 \times 10 { }^{2} + 2 \times 10 {}^{3} [/tex]
Jane invests £1,200 in a bank account which
earns interest at the rate of 6% per annum.
Find the value of a) the investment after 5
years
Answer:
£1560
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 1200 × 0.06 × 5 = 360
I = £ 360.00
The simple interest accumulated
on a principal of £ 1,200.00
at a rate of 6% per year
for 5 years is £ 360.00.
What the answer to this -8 x -6 =
Answer:
48
Step-by-step explanation:
Solve the system of equations by elimination
3x+2y=3
2x+3y=2
Answer: x = 1 , y = 0
Step-by-step explanation:
hope this helps :)
Angela has $35.41 in her savings account. She really
wants to buy some songs and an app.
Angela spent $35.41 on everything. How much
money does Angela now have in her savings
account?
Answer:
0 because she spent it all
Step-by-step explanation:
35.41-35.41= 0
and why are songs $35.41
11.1 x 0.8 x 1.16 x 0.4
8(a+2)+2(2+3a)=8(a+2)+2(2+3a
Answer:
?__________*_*__________?
HELP!! due right now!! giving brainlest?
Answer:
45
Step-by-step explanation:
7+11= 18
18/2=9
9*5=45
If a spinach pie is cut into 10 equal pieces, then what is one piece
written as a fraction and as a decimal
Answer:
If a spinach pie is cut into 10 equal pieces, the fraction form of it is 1/10 and the decimal form is 0.1
Step-by-step explanation:
10 pieces
10/10 total
1 slice: 1/10
1 = whole pie
split into 10 equal peices =
0.1
Write an equation that represents the line.
Answer:
COORDANITE GRID
Step-by-step explanation:
Collin Buys a TV for £720 depreciate at a rate of 4% per year how much will it be worth in three years
Answer:
The worth of the TV after 3 years is £809.90208
Step-by-step explanation:
The answer to given question can be found from the anual depreciation formula and solving for the Future Value (F. V.) of the machine
The given parameters of the TV are;
The amount at which Collin buys the TV, P = £720
The rate at which the TV depreciates at, R = 4%
The number of years the depreciation is applied, T = 3 years
The amount the TV is worth after three years, 'A', is given as follows;
[tex]A = P \cdot \left(1 + \dfrac{R}{100} \right )^T[/tex]
By plugging in the known values, we have;
[tex]A = 720 \cdot \left(1 + \dfrac{4}{100} \right )^3 = 809.90208[/tex]
The amount the TV is worth after three years, A = £809.90208
(IMPORTANT!!!) Identify the function shown in this graph.
5. In the picture shown, point D is the image of point A after a clockwise rotation about point C
by 136 . Points B, C, and D are collinear. Which statement below must be true?
Answer:
hhmmmmmhmmmm hmhmmmm hmmm yeah i got nothing
Step-by-step explanation:
who ever XxLunaMoonxX is stop spreading false rumors abt people cuz they aint true
Answer:
oop
Step-by-step explanation:
Answer:
who?
Step-by-step explanation:
Solve the system using elimination. 3 x plus 3 y equals 27. x minus 3 y equals negative 11.
Answer:
- 5/4
Step-by-step explanation:
Answer:
x=4 and y=5 commonly notated as (4,5)
Step-by-step explanation:
The equations
Equation 1: 3x+3y=27
Equation 2: x-3y= -11
The second equation looks like it will be the easiest to rearrange.
x-3y = -11
add 3y to each side to get
x = 3y-11
Substitute that in for x in equation 1 so
3x+3y=27
turns into
3(3y-11) +3y =27
multiply out to get
9y-33+3y =27
Condense variables
12y-33=27
add 33 to each side
12y= 60
Divide by 12
y = 5
Plug into one of the original equations (I will be doing both to show it doesn't matter what equation you use, but you only need to use one equation, I personally think it is easier to plug into the second equation)
Equation 1: 3x+3y=27
Plug in what we got for y
3x+3(5)=27
multiply
3x+15=27
subtract 15 from each side
3x=12
divide by 3
x=4
Equation 2: x-3y = -11
Plug in what we got for y
x-3(5) =-11
Multiply
x-15= -11
Add 15 to each side
x=4
Write an equation.
Find the constant of proportionality and write an equation for the proportional relationship.
y = 10 and x = 8
Given:
y is proportional to x.
y=10 and x=8.
To find:
The constant of proportionality and the equation for the proportional relationship.
Solution:
y is proportional to x.
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
Putting y=10 and x=8, we get
[tex]10=k(8)[/tex]
[tex]\dfrac{10}{8}=k[/tex]
[tex]\dfrac{5}{4}=k[/tex]
Putting [tex]k=\dfrac{5}{4}[/tex] in (i), we get
[tex]y=\dfrac{5}{4}x[/tex]
Therefore, the contestant of proportionality is [tex]k=\dfrac{5}{4}[/tex] and the equation for the proportional relationship is [tex]y=\dfrac{5}{4}x[/tex].
plssss help i just cant figure it out
3n - 17 = -50
two step equations help please
Answer:
n = -11
Step-by-step explanation:
3n - 17 = -50
⇒ 3n = -33
⇒ n = -11
Answer:
n = -11
Step-by-step explanation:
3n - 17 + 17 = -50 + 17
3n = -33
3n/3=-33/3
n = -11
What is the surface area of a cylinder with a base diameter of 8 inches and a height of 5 inches. Use 3.14 for pie.
Answer:
surface area=226.12 in^2
Step-by-step explanation:
8x3.14x5=circular area=125.6
(8/2)^2 x 3.14=0ne end of cylinder area=50.26
125.6+50.26+50.26=226.12
1 2/3 −3/4= _ −_=
Rewrite using twelfths.
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answer:
2x-3= -6
Step-by-step explanation:
have a great day!
Susan said, "I multiplied 100 by 47, and then I removed one group of 47." Write an expression to represent how Susan solved 99x47. Then evaluate the expression.
Answer:
The expression of how Susan solved 99 × 47 is;
99 × 47 = 100 × 47 - 47
The evaluation of the expression is;
99 × 47 = 4653
Step-by-step explanation:
The question relates to the simplification of the multiplication of two numbers by the use of a combination multiplication of one of the numbers, 'x', with the nearest 10s or 100s of the other number, 'y', followed by the subtraction or addition operation of the product between the number 'x' and the difference between the specified 10s or 100s and 'y';
The given information on how Susan solved the equation 99 × 47 can be presented as follows;
99 × 47 = (100 - 1) × 47 = 100 × 47 - 47
The expression of how Susan solved 99 × 47 is therefore presented as follows;
99 × 47 = 100 × 47 - 47
The evaluation of the expression is therefore given as follows;
100 × 47 - 47 = 4700 - 47 = 4653.
Which value for x makes the sentence true?
18x = 360
Answer:
X=20
Step-by-step explanation:
360/18=20
Answer:
x=20
Step-by-step explanation:
18x=360
divide both sides by 18x
[tex]\frac{18x}{18}[/tex]=[tex]\frac{360}{18}[/tex]
simplify
x=20
hope this helps :) have a nice day !!
Evaluate the expression for r = 9. 15 + r =