Answer:
[tex]y=2x-2[/tex] is the required equation.
Therefore, the second option is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation of a linear function is given by
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)[/tex]
[tex]m=\frac{0-\left(-2\right)}{1-0}[/tex]
[tex]m=2[/tex]
substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.
[tex]y=mx+b[/tex]
[tex]-2 = 2(0)+b[/tex]
[tex]-2=0+b[/tex]
[tex]b=-2[/tex]
Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function
[tex]y=mx+b[/tex]
[tex]y=2x+(-2)[/tex]
[tex]y=2x-2[/tex]
Thus, [tex]y=2x-2[/tex] is the required equation.
Therefore, the second option is true.
can anyone answer this?
Answer:
Triangle A is congruent to triangle G
Triangle D is congruent to triangle C
Answer:
Triangle A is congruent to Triangle G
Triangle D is cingruent to Triangle C
Step-by-step explanation:
Simplify r^6 • r^5 type your answer in the box
Answer:
r^11
Step-by-step explanation:
Oy I hate this subject I swear just a few more but still giving out brainliest and points!
Answer:
C
Step-by-step explanation:
your y values which produce the range differ between 2 and 10 which means that will be your range. All of the values are real.
Item 29
Divide.
6.8÷4
6.8÷4
Answer:
1.7
Step-by-step explanation:
You can just use a calculator to make the work easier.
A student factors a^6 - 64 to (a^2-4)(a^4 + 4a^2+ 16).
Which statement about (a^2 - 4)(a^4 + 4a^2 + 16) is correct?
Answer:
Option (b) is correct.
The expression is equivalent, but the term is not completely factored.
Step-by-step explanation:
edge 2020
Help me please !!
Given: P: S, PQ=ST, Q=
Answer:
Yes AAS
Step-by-step explanation:
................. J
Answer:
none of the other answers are correct
What is the y-intercept for -1,3 1,-2
what is the average rate of change?
f(x)=x^2+3
From x=0 to x=3
Answer:
dk
Step-by-step explanation:
d
What is the 38th term of 459,450,441,..
Answer:
The 38th term of 459,450,441,.. will be:
[tex]a_{13}=351[/tex]
Step-by-step explanation:
Given the sequence
[tex]459,450,441,..[/tex]
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]450-459=-9,\:\quad \:441-450=-9[/tex]
so
[tex]d=-9[/tex]
The first element of the sequence is
[tex]a_1=459[/tex]
so the nth term will be
[tex]a_n=-9\left(n-1\right)+459[/tex]
[tex]a_n=-9n+468[/tex]
Putting n=38 to find the 38th term
[tex]a_n=-9n+468[/tex]
[tex]a_{13}=-9\left(13\right)+468[/tex]
[tex]a_{13}=-117+468[/tex]
[tex]a_{13}=351[/tex]
Therefore, the 38th term of 459,450,441,.. will be:
[tex]a_{13}=351[/tex]
AnOtHeR MATH QUESTION (SMH). HELP PLEASE !!!
Answer:
For the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2
Step-by-step explanation:
We are given function: [tex]g(x)=-x^2-3x+5[/tex], we need to find average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex]
The formula used is: [tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}[/tex]
We have b=2 and a= -7
Finding f(b) and f(a)
Finding g(b) by putting x=2
[tex]g(x)=-x^2-3x+5\\g(2)=-(2)^2-3(2)+5\\g(2)=-4-6+5\\g(2)=-10+5\\g(2)=-5[/tex]
Finding g(a) by putting x=-7
[tex]g(x)=-x^2-3x+5\\g(-7)=-(-7)^2-3(-7)+5\\g(-7)=-49+21+5\\g(-7)=-23[/tex]
Now, finding average rate of change when g(b)=-5 and g(a)=-23
[tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{-5-(-23)}{2-(-7)}\\Average \ rate \ of \ change=\frac{-5+23}{2+7}\\Average \ rate \ of \ change=\frac{18}{9}\\Average \ rate \ of \ change=2[/tex]
So, Average rate of change = 2
Therefore for the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2
Pretty please help me:)
Answer:
Step-by-step explanation:
a. Yes is proportional with the cost because they depend on one another
b. (0,0) means if we buy 0 cookies we pay $0
c. (1, 0.50) means that if we buy 1 cookie we have to pay $0.50
d. the unit rate is how much we pay for one cookie so is $0.50 per 1 cookie
Check your answers by clicking all of the items
you included in your explanation.
A.A large portion of an organism's mass is in
the form of water.
B.Water contains two hydrogen atoms and one
oxygen atom.
C.The mass of oxygen is sixteen times that of
hydrogen.
Answer:
A and C
Step-by-step explanation:
what mistake did he make?
The length of rectangle A is 7.4 cm and the width is 4.8 cm. The perimeter of rectangle B is 14.9 cm. How much is the perimeter of rectangle A than the perimeter of rectangle B?
Answer: 9.5 cm
Step-by-step explanation:
First we have to find the perimeter of rectangle A:
Formula for perimeter of a rectangle or square is: [tex]2(a+b)[/tex]
Putting the length and width in: [tex]2(7.4+4.8)[/tex]
Solve it to get: 24.4 cm
Subtract 14.9 from 24.4 to get 9.5 cm
If Jasper can walk
1/2
mile in 1/4 hour, how long will it take him to walk 1.5 miles?
45 mins
Step-by-step explanation:
A quarter of an hour is 15 mins. If jasper walks 1/2 a mile in 15 mins then in 1.5 miles is 3 times that. 15x3 is 45.
Graph the line.
y=x-8
please hurry, 15 points
Answer:
graph your y intercept at negative 8 and then continue to go up one right one
Answer:
go down 8 then go up one over one the rest of the way. go to desmos to answer all your graphing questions.
Step-by-step explanation:
brainliest pls
A shirt at the store is being offered at a 10% discount. If the original price of the shirt is x, which answer
choice shows an expression that represents the discounted price of the shirt?
0.90x
X + 0.10x
1.10x
0.10x
Answer:
0.90x
By the way, I'm just answering people random questions. I'm not going to write the step by step but the answer.
Sorry :/
Refer to the system of linear equations shown below. Which of the following statements gives the best choice for multiplying to solve this system using the elimination method? 3x−6y=4 6x+11y=−2
I NEED IT URGENtLY
Answer: I just took the test and the answer is Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.
Step-by-step explanation:
The solution for the given system of linear equations is (32/69, -10/23).
The given system of equations are 3x-6y=4 and 6x+11y=-2.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here,
3x-6y=4 ---------(I) and 6x+11y=-2 ---------(II)
Multiply equation (I) by 2, we get
6x-12y=8 ---------(III)
Subtract equation (III) from (II), we get
6x+11y-(6x-12y)=-2-8
⇒ 23y=-10
⇒ y=-10/23
Substitute y=-10/23 in (I), we get
3x-6(-10/23)=4
⇒ 3x+60/23=4
⇒ 3x=4-60/23
⇒ x=32/69
So, solution is (32/69, -10/23)
Therefore, the solution for the given system of linear equations is (32/69, -10/23).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ2
3. The point D(3, -2) is
rotated 90° cw about
the origin. What is the
coordinate point
for D'?
Answer:
D' = ( -3, -2)
Step-by-step explanation:
Rate me branliest please :)
1
What is the equation of the line parallel to 8x - 16y= -14 and passing through (3, 0)?
Answer:
8x -16y = 24
Step-by-step explanation:
8x - 16y= -14
A parallel line (i.e. same slope) will be: 8x - 16y= c
We have to find the value of "c".
If it passes through (x, y) = (3, 0) ⇒ 24 - 0 = c,
so equation is 8x -16y = 24
3. Six neighborhood children - Leisha, Benito, Delia, Charlotte, Weldon, and Zina- were measured
yesterday. Weldon is taller than Delia but shorter than Zina. Leisha is taller than Benito but shorter than
Delia and Weldon. Benito isn't the shortest. Can you list the kids in order of height from tallest to shortest?
Please Help
WORTH 100 points!!!
Qual a altura máxima atingida por um projétil cuja trajetória pode ser descrita pela função: h(x) = –4x² + 5, sabendo que h é a altura do projétil e que x é a distância percorrida por ele, em metros?
A))5
B))6
C))7
D))8
E))9
Answer:
A altura máxima é 5
Step-by-step explanation:
Matematicamente, a altura máxima pode ser obtida
A altura máxima é simplesmente o vértice da parábola
Começamos diferenciando a função Isso será -8x
Agora, defina -8x como 0
Isso significa que x = 0
Agora, substitua x = 0 de volta na equação temos
f (0) = -4 (0) ^ 2 + 5
f (0) = 5
A altura máxima é 5
What is HB? Triangle Mid-segment Theorem
Answer:
HB = 13
Step-by-step explanation:
In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.
Therefore by Mid-segment Theorem.
[tex]AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}[/tex]
how do you do multiplication in 7th grade mathimatics
Answer:
Learn your timetables daily.
Step-by-step explanation:
You can find songs online to help you memorize and understand them in the simplest form.
Answer:
you should practice your timetables and do some math practice so you could understand other math like division.
Step-by-step explanation:
Amanda is hiking with her daughter, Mia who is only 1 yaar old and has very short leg. For every 3 steps Amanda makes, Mia takes 5 steps just to keep up.
Need help fast trying to take a test plsss help
What is the image of (−3,9) after a reflection over the line y = x?
Answer:(9,-3)
Step-by-step explanation:
You just have to flip the numbers
Anyone know this question.
I need help quick.
Thanks.
Kayla bought 2 books for $8.95 each, how much change would she get from a $20 bill?
Answer:
8.95 + 8.95 = 17.9
20 - 17.9
= $2.1
Write the slope intercept form of the equation of the line through the given point plz
Answer:
y = 5/2x + 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 5/2
Point (-4, -5)
Step 2: Find y-intercept b
Define: y = 5/2x + bSubstitute in point: -5 = 5/2(-4) + bMultiply: -5 = -10 + bIsolate b: 5 = bRewrite: b = 5Step 3: Write linear equation
y = 5/2x + 5
the cost of a family membership at a health club $58 per month plus a one time 129 start up fee . if a family spent 651 , how many months is their membership?
Answer:
9 months
Step-by-step explanation:
651=58x+129
-129 -129
522=58x divide 522 by 58
=9