Answer:
x=7
Step-by-step explanation:
3(2x - 5) = 9(10 - x)
6x-15=90-9x
6x+9x=90+15
15x=105
x=7
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
First, we need to expand the brackets:
[tex]3(2x-5)=9(10-x)[/tex] (equation given)
[tex]6x-15=90-9x[/tex]
[tex]15x -15 = 90[/tex] (add [tex]9x[/tex] on both sides)
[tex]15x = 105[/tex] (add [tex]15[/tex] on both sides)
[tex]x = 7[/tex] (divide by [tex]15[/tex] on both sides)
Hope this helps :)
Multiply out 3(2x-7)
Answer:
6x-21
Step-by-step explanation:
3*2x = 6x
3*-7 = -21
6x-21
At a farm, four employees harvest 48 pounds of food over a certain number of hours. Each employee works the number of hours shown. Employee A6 Employee B :4 employee C:8 employee D:8 The number of pounds of food harvested by each employee is potential to the number of hours worked.
Answer:
A harvest = 11 pound (Approx)
B harvest = 7 pound (Approx)
C harvest = 15 pound (Approx)
D harvest = 15 pound (Approx)
Step-by-step explanation:
Given:
A - 6
B - 4
C - 8
D - 8
Total harvest = 48 pound
Computation:
Total hour = 6+4+8+8
Total hour = 26 hour
A harvest = 48(6/26)
A harvest = 11 pound (Approx)
B harvest = 48(4/26)
B harvest = 7 pound (Approx)
C harvest = 48(6/26)
C harvest = 15 pound (Approx)
D harvest = 48(6/26)
D harvest = 15 pound (Approx)
Find the slope of the line that passes through
(10, 1) and (5,2)
Answer:
the slope of the line is -1/5
remember, rise over run.
Step-by-step explanation:
May I have brainliest please? :)
Answer:
[tex]m=-\frac{1}{5}[/tex]
Step-by-step explanation:
Find the exact value of sec 3pi/2
If not defined, write undefined.
Answer: Undefined
Step-by-step explanation:
Sec 3[tex]\pi[/tex]/2 = 1/Cos(3[tex]\pi[/tex]/2) = 1/0 = Undefined
The math club is having a car wash to raise funds to attend a state competition they need to raise a minimum of $325 the cost of supplies for the car wash is $25 if they except 40 cars on the wall on the day of the car wash what is the amount they have to charge each car to meet the minimum goal what is the answer
Answer:
£8.75
Step-by-step explanation:
325+25=350
350/40=8.75
determine whether the given ordered pair is a solution of the equation y=-x-2; (1,-3)
Answer:
yes, the ordered pair is a solution for this equation
Step-by-step explanation:
y= -x-2
plug in 1 for x and -3 for y
-3= -1-2
-3= -3
Factorise: (a) 3x2 + 27y2 + z2 - 18xy + 6 √3yz -2 √3zx (b) 27 x3 + 125y3 (c) (2a – 3b + c )2
(d) 1 a3 + b3 + 125 c3 - 15 a b c (e) [x – 1/x y]3 (f) x4 y4 – x y
64^4
(g) 8x3 – (2x – y)3 (h) a6 _ b6
Answer please
Answer:
(a) [tex]3x^2 + 27y^2 + z^2 - 18xy + 6 \sqrt{3} yz -2 \sqrt{3} zx[/tex]
this can be written as
[tex](-x\sqrt{3})^2 + (y3\sqrt{3})^2 + (z)^2 +2 ( -x\sqrt{3} )( y3\sqrt{3}) + 2( y3\sqrt{3})(z) + 2(z)( -x\sqrt{3})[/tex]
which is equivalent to
[tex]a^2+ b^2 + c^2 + 2ab + 2bc + 2ac = (a+b+c)^2[/tex]
[tex](-x\sqrt{3} + y3\sqrt{3} + z)^2 = (-x\sqrt{3} + y3\sqrt{3} + z)(-x\sqrt{3} + y3\sqrt{3} + z)[/tex]
(b)[tex]27 x^3 + 125y^3[/tex] = [tex](3x)^3 + (5y)^3[/tex]
which is same as [tex]a^3 + b^3 = (a+b)(a^2 +b^2 -ab)[/tex]
= [tex](3x + 5y)(9x^2 + 25y^2 -15xy)[/tex]
(c) [tex](2a - 3b + c )^2[/tex] = (2a -3b +c)(2a -3b+c)
(d) [tex]a^3 + b^3 + 125 c^3 - 15 a b c[/tex]
this is same as
[tex]a^3 + b^3 +c^3 - 3abc[/tex] = [tex](a+b+c)( a^2+b^2+c^2 -ab-bc-ac)[/tex]
= [tex](a + b + 5c)(a^2+b^2 +25c^2 -ab -5bc -5ac)[/tex]
(e) [tex](x - 1/x y)^3[/tex] = [tex](x - 1/xy)(x - 1/xy)(x - 1/xy)[/tex]
(f) [tex]x^4 y^4 - x y64^4 = xy( x^3y^3 - 64^4) = xy( x^3y^3 - (256)^3) \\ = xy( xy - 256 )(x^2y^2 + 65536 + 256xy)[/tex]
(using the property of [tex]a^3 -b^3 = (a-b)(a^2+b^2 +ab)[/tex] )
(g) [tex]8x^3 - (2x - y)^3 = (2x)^3 - (2x-y)^3 \\ = (2x - 2x + y)(4x^2 + (2x-y)^2 + 2x(2x-y))\\ = y(8x^2 + y^2 -6xy +4x)[/tex] using the same property above
(h)
[tex]a^6 -b^6 = (a^2)^3 - (b^2)^3 = (a^2-b^2)( a^4+b^4 +a^2b^2)\\ = (a-b)(a+b)( a^4+b^4 +a^2b^2)[/tex]
Bob bought 5 books for x dollars each and a DVD for $12. Write an expression for how much money Bob spent.
Answer:
5x+12
Step-by-step explanation:
X symbolizes how many he is buying plus the extra 12 dollars
Answer:
5x+12=y
Step-by-step explanation:
Y represents the amount of money spent.
if x represents the amount of one book and Bob bought 5 books than you have to multiply the amount of one book by five to get the amount spent on all the books. Thus getting 5x
You need an equation to find how much money spent total. Thus adding $12 because Bob also bought a DVD for $12.
Therefore, the only logical equation is 5x+12=y
A'B'C' is the image of ABC after a translation. Write the rule for the translation. (x,y) → ______
Answer:
A hint because i am still finding the answer, ● TRANSLATION is a transformation that SLIDES a figure horizontally (left or right), vertically (up or
down), or both on a coordinate plane.
OVER 2 1/2 UP 1/2. THIS SHOULD BE RIGHT BUT A SECOND OPINION IS GOOD TOO.
ILL MARK BRAINLIEST PLS HELP
Select all of the descriptions
which describe a transformation of the graph of f(x)=x that could result in
the graph of g(x)=4x.
A
The graph is rotated about (0,0), becoming steeper.
B
The graph is vertically stretched.
The graph is translated 4 units up.
D
The graph is translated 4 units to the right.
E
The graph is vertically shrunk.
F
The graph is reflected across the x-axis.
Answer: A)
Step-by-step explanation:
please solve this!
slope of dotted line:
slope of reflection line:
equation of reflection line:
Answer:
I-
Step-by-step explanation:
) 5)8%2=80)4)88=5=5=88=9=5)5=
Answer:
Slope of dotted/dashed line: -3
Slope of Reflection line: 0.25
Equation of Reflection line: y = 0.25x - 2
Step-by-step explanation:
Slope of dotted line: rise/run. So 3/1 = 3. It is a negative slop because of the way it is facing ( \ ).
Slope of reflection line: rise/run. So 1/4 = 0.25. It is a positive slope ( / ).
Equation of reflection line: y = mx + b
m = slope
b = y-intercept
y = 0.25x - 2
The table shows the results of a survey on students'
favorite kind of movie. Select the appropriate values to
complete the model to find the fraction of students that
prefer comedy or action movies.
What fraction of the students who were surveyed prefers
comedy or action movies?
Answer:
71/100
Step-by-step explanation:
Action 29 plus comedy 42 equals 71 and if you add action, comedy, drama, and horror you get your denominator of 100
Fraction of the students is 71/100 who were surveyed prefers comedy or action movies.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
Number of students who prefer action = 29
Number of students who prefer comedy = 42
Here, Total students = 100
Hence, Fraction of the students who were surveyed prefers comedy or action movies is,
⇒ 29/100 + 42/100 = 71/100
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Find the sum of the finite geometric series
6 - 4 + 8/3 - 16/9 + 32/17
Answer:
The sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416
Step-by-step explanation:
We need to find the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17
The formula used to find sum of geometric series is [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
where a is 1st term, n is number of terms and r is common ratio
so, in the given geometric series 6 - 4 + 8/3 - 16/9 + 32/17 we have
First Term a=6
Common ratio r= -0.6
Number of terms n= 5
Putting values in formula to find sum of given geometric series
[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_n=\frac{6(1-(-0.6)^5 )}{1-(-0.6)}\\S_n=\frac{6(1-(-0.07776))}{1+0.6}\\S_n=\frac{6(1+0.07776)}{1.6}\\S_n=\frac{6.46656}{1.6}\\S_n=4.0416[/tex]
So, the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416
The graphs below show the test scores for students in different subject area and the time the students spent studying for the tests. Math Scores vs. Hours Spent Studying A graph titled math scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (2.5, 60) and (3.5, 70). Science Scores vs. Hours Spent StudyingA graph titled science scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 40) and (3.5, 50). Spelling Scores vs. Hours Spent Studying A graph titled spelling scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 80) and (4.5, 90). History Scores vs. Hours Spent Studying A graph titled history scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 50) and (2, 70). Which graph has a trend line with the least slope? Math Scores vs. Hours Spent Studying Science Scores vs. Hours Spent Studying Spelling Scores vs. Hours Spent Studying History Scores vs. Hours Spent Studying
Answer:
The answer is C)Spelling Scores vs. Hours Spent Studying
Step-by-step explanation:
This is the answer because if you look at all of the other options, then you will see that they have a steeper slope, you could also calculate and find for slope if u are still unsure :) hope this helps
The graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph
What is the slope of a line?The slope of a line is the quotient of the change in the vertical values to the corresponding horizontal values
Check below on how the trend line with the least slope can be determined
From the question, we have:
Line 1: (2.5, 60) and (3.5, 70)Line 2: (0.5, 40) and (3.5, 50)Line 3: (0.5, 80) and (4.5, 90).Line 4: (0.5, 50) and (2, 70).The slope (m) is calculated using:
m = (y₂ - y₁)/(x₂ - x₁)
So, we have:
m₁ = (70 - 60)/(3.5 - 2.5) = 10m₂ = (50 - 40)/(3.5 - 0.5) = 3.3m₃ = (90 - 80)/(4.5 - 0.5) = 2.5m₄ = (70 - 50)/(2 - 0.5) = 13.3The line 3 has the least slope
i.e. m₃ = 2.5
Hence, the graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph
Read more about slope at:
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HELP! Which number is a rational number?
A. Square Root of 9/2
B. Square Root of 13/16
C. Square Root of 49
D. Square Root of 34
Answer:
its c or the square root of 49
Answer:
The answer is C. (square root of 49)
)
11
12
Which is a reasonable first step that can be used to solve the equation 4x+3(x+2) = 5(2x-3)
O Distribute the 3 to x + 2, and distribute the 5 to (2x - 3).
O Combine 4x and x on the left side of the equation.
© Apply the subtraction property of equality to move the 2 from the left to the right side of the equa
O Apply the addition property of equality to move the 3 from the right to the left side of the equation
Answer:
D
Step-by-step explanation:
what is a slope-intercept form of a equation of a line that passes through (-1,6) and (2,-3)
Answer:
go to m a t h w a y trust me that app is a game changer
A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Write the integer of where the flea is now on the number line. number line
Answer:
This is How to solve a integer: Write your number on a piece of paper. You can write your integer in a variety of ways. For instance, write your integer in standard form (such as 63), expanded form (such as 100+50+2, which in standard form would be 152) or in written form (such as one thousand two hundred thirteen).
Step-by-step explanation:
please help me, solve for n
Answer:
The value of n will be:
[tex]n=\frac{89}{4}[/tex]Step-by-step explanation:
Given the expression
[tex]\frac{n}{2}-8^{-1}=11[/tex]
Apply the exponent rule:
[tex]a^{-1}=\frac{1}{n}[/tex]so the expression becomes
[tex]\frac{n}{2}-\frac{1}{8}=11[/tex]
Add 1/8 to both the sides
[tex]\frac{n}{2}-\frac{1}{8}+\frac{1}{8}=11+\frac{1}{8}[/tex]
[tex]\frac{n}{2}=\frac{89}{8}[/tex]
[tex]n=\frac{89}{4}[/tex]
Therefore, the value of n will be:
[tex]n=\frac{89}{4}[/tex]Which of the following expressions are equivalent to x+2-x
A. 2(x + 3) + 2x and 4x + 3
B. -2 + 4 (x + 3 ) and 4x + 10
C. 3x + 5 ( x - 1) and 8x - 5
D. 5x - 2 (x + 4) and 3x + 8
E. 4 - 5 (x + 2) and 5x - 6
Answer: The anwer is A. x+2-x. It is correct!
Step-by-step explanation:
Khanacademy
What is the slope of the line
Answer:
2 over 2. which would simplify to 1. rise over run.
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
slope = change in y over change in x
the line goes down 1 and over 1 so slope is -1/1 or -1
Does anyone know how to like graph it for me like just tell me where they go please and thank you!
Answer:(0,4), (-1,0), (-4,-2)
Step-by-step explanation:
1. The Willis Tower (formerly known as the Sears Tower) in Chicago is about 1454 feet tall. A model of it has a scale of 2 in = 45 feet. How tall is the model?
Answer:
[tex]x\approx64.622\text{ inches}[/tex]
Step-by-step explanation:
We can write a proportion that relate the model lengths to the actual length. The traditional format is:
[tex]\frac{\text{Model Length}}{\text{Scale Factor}}=\frac{\text{Original Length}}{\text{Scale Factor}}[/tex]
Hence, we will substitute 1454 for the “Original Length.”
2in for the “Scale Factor” below the model.
And 45ft for the “Scale Factor” below the original.
Let the model length be x.
This yields:
[tex]\frac{x}{2}=\frac{1454}{45}[/tex]
Solve for x. Cross-multiply:
[tex]2908=45x[/tex]
Divide both sides by 45:
[tex]x\approx64.622\text{ inches}[/tex]
Therefore, the height of the model is about 64.6 inches.
Step-by-step explanation:
solution
we know that,
tower hight = 1454 feet
here
2inch=45 feet
now,
1454 feet=(1454/45)inch
1454 feet =32.31 inch
so,tower is 32.31 inch tall according to model length
this may help you (:
Which goddess corrupted Heracles' mind?
pleas
Answer:
his daughter, Megara
Step-by-step explanation:
need your help with math
Answer:
y=3/4x+2
Step-by-step explanation:
There 18 rows of seats in the auditorium there are 24 seats in each row how many seats are in the auditorium
Answer:
432 seats
Step-by-step explanation:
Since 24 seats = 1 row, all we have to do is multiply 24 by 18, since there are 18 rows of seats. This would give us 432, which is the total number of seats in the auditorium.
Multiply ()
Part A: What is/are the restricted value(s)?
Part B: What factor(s) can be eliminated before multiplying?
Part C: What is the simplified product?
Select all answers that apply for Part A and Part B, and select one answer for Part C.
C: 3x-12
———-
x^2+2^x
B: x+2
C:(x-4)(15x)
————-
(5x^2)(x+2)
A: -2
C: 3x-12
-———
x+2
A: 0
A: 5
C: 3x-6
———
x
A: -4
A: 2
B: x
A: 4
B: 5
B: x^2
Answer:
Step-by-step explanation:
b, i'm not sure but thats what i think.
Rob is buying some green apples to make some fresh apple juice. The price of the green apples is G and Rob has a coupon for 10% off. Consider the expressions given in the answers. Which expression is the price of the green apple after using the coupon?
A) 1.1g
B) 0.1g
C) g – 0.1g
D) g
E) g – 0.1
Answer:
c
Step-by-step explanation:
$46 shoes; 2.9% tax.
Answer:
47.33
Step-by-step explanation:
youe welcome
The graph below shows a quadratic function f(x) and an absolute value function g(x) Which of the following x-values are approximate solutions to the equations f(x) = g(x)? select all that apply
Answer:
a, b ,e
Step-by-step explanation:
The solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
What is equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is solution to equations?"It is a value or a set of values, when substituted for the unknowns, the equation becomes true."
For given question,
We have been given the graph of a quadratic function f(x) and an absolute value function g(x).
We need to find the x-values that are approximate solutions to the equation f(x) = g(x).
To solve the equation f(x) = g(x), we look for the points where the graphs of f(x) and g(x) intersect.
The intersection point of f(x) = g(x) appears to be at point which lie in the second quadrant and the x-value lie between -2 and -4.
Also, the second intersection point lie in the fourth quadrant where x value is in between 4 and 6.
So, the solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2
The correct answers are option (A) and option (E)
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