[tex] \frac{ - 3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)[/tex]
[tex] \frac{ - 3}{4} x + \frac{9}{4} - 5 = \frac{1}{8} x - \frac{1}{8} [/tex]
[tex] \frac{ - 3}{4} x - \frac{1}{8} x = - \frac{1}{8} - \frac{9}{4} + 5[/tex]
[tex] \frac{ - 6x}{8} - \frac{x}{8} = \frac{ - 1}{8} - \frac{18}{8} + \frac{40}{8} [/tex]
[tex] \frac{ - 6x - x}{8} = \frac{ - 1 - 18 + 40}{8} [/tex]
[tex] \frac{ - 7x}{8} = \frac{21}{8} [/tex]
[tex] - 7x = 21[/tex]
[tex]x = \frac{21}{ - 7} [/tex]
[tex]x = - 3[/tex]
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.
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Which of the following functions represents the graph on
the left? (Hint: Plug in your x values from the previous
slide. Do they produce f(x)=0?)
O f(x) = (x-6)(x+2)
O f(x) = (x+6) (x - 2)
9514 1404 393
Answer:
f(x) = (x -6)(x +2)
Step-by-step explanation:
The graph shows the x-intercepts are -2 and +6. The factors will be binomials such that these values make the factors zero: (x +2) and (x -6).
f(x) = (x -6)(x +2)
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:
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
PLEASE HELP PLEASE I WILL THANK YOU!!
If you want to purchase a 5-inch fish, two 2-inch fish, and
three 3-inch fish, how many gallons of water should the
aquarium hold?
Answer:
18 gallons of water in the aquarium
Please help me out!
Answer:
C is correct ans
Step-by-step explanation:
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
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
16=x
Step-by-step explanation:
the two sides are equal, soo i set them equal to each other and add 18 to 16 then divide each side by two and get 16 = x
Determine triangle type
Answer:
isosceles acute
Step-by-step explanation:
two same sides so it is isosceles and all angles under 90 so acute
Answer:
isosceles acute
What is the slope of this line?
Answer:
The slope is -1
Step-by-step explanation:
Answer: -2
Step-by-step explanation:
nice phone case
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
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 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
16r - 8 factored if it can not be factored write prime
Answer:
Algebra 1 questions and answers - Get algebra 1 help with questions involving ratios, proportions, equations with 2 variables, monomials, polynomials, factoring, inequalities, absolute value, graphing, lines, x-intercept, y-intercept, slope, parabolas, functions, roots, radicals, quadratic equations, the quadratic formula and more.
Step-by-step explanation:
help with khan academy plzzz!!!
Answer:
Your slope is 2/3
Step-by-step explanation:
Rise/Run
=2/3
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.
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!!!
2. After election results of 378 votes were tallied, the new student-body president won by a margin of 5 to 4. How many votes did she get?
Answer:
473 or 472, depends on how you round
Step-by-step explanation:
378/4 = 94.5
94.5 x 5 = 472.5
The number of votes she gets will be 473.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
2. After election results of 378 votes were tallied, the new student-body president won by a margin of 5 to 4.
Then the number of votes she gets that will be
→ 378 x 5 / 4
→ 378 x 1.25
→ 472.5 ≅ 473
More about the multiplication link is given below.
https://brainly.com/question/19943359
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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
6.2 x 0.6 worth 25 points have a good day!
You work in a restaurant. Your hourly wage is $5.25. One evening you work from 5:30 to 9:30 and make $34.20 altogether. How much do you make in tips that evening?
Your answer
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Answer:
$13.20
Step-by-step explanation:
Working h hours and earning t in tips, your earnings (e) are ...
e = 5.25h +t
Solving for t, we get ...
t = e - 5.25h
Filling in the given values, we have ...
t = 34.20 -5.25(4) = 34.20 -21.00 = 13.20
You made $13.20 in tips that evening.
PLEASE HELP FAST!!!! Which could be the first in solving the equation represented by the model below?
Which one?
A. Add 4 positive unit tiles to each side
B. Remove 4 unit tiles from each side
C. Add 6 positive unit tiles to each side
D. Remove 6 unit tiles from each side
Answer:
A. add 4 positive unit tiles to each side
Step-by-step explanation:
The reason is because its easier to solve without having to worry about negatives
Please help me with this
Answer:
hi friend me
Step-by-step explanation:
Answer:
Don't you need an equation to find the equation perpendicular to it? Im confused
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
PLS HELP IM FAILING MY MATH CLASS
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
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.
Use the graph below to fill in the blank with the correct number:
f(-2) =
(3 points)
5 4 $
.
2
-5 4 3 2 1
2 3 4 5
-2
.
-3
5
Blank 1:
Answer:
f(-2) = 2
f(-3) = 0
f(1) = -2
f(0) = 1
What is the y-intercept for -1,3 1,-2
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]