Answer
\(\frac{2x+1}{x+5}\)Explanation
To simplify this expression, we will factorize each of these equations
6x² - 7x - 5
= 6x² - 10x + 3x - 5
= 2x (3x - 5) + 1 (3x - 5)
= (2x + 1) (3x - 5)
3x² + 10x - 25
= 3x² + 15x - 5x - 25
= 3x (x + 5) - 5 (x + 5)
= (3x - 5) (x + 5)
So, we can write the expression and simplify below
\(\begin{gathered} \frac{6x^2-7x-5}{3x^2+10x-25} \\ =\frac{(2x+1)(3x-5)_{}}{(3x-5)(x+5)} \\ \text{The (3x - 5) in both numerator and denominator cancels out and we have} \\ \frac{2x+1}{x+5} \end{gathered}\)Hope this Helps!!!
How to write two million nine thousand
Answer:
The answer you are looking for is 2,009,000
Step-by-step explanation:
3. Write the inequality that best represents the relationship shown on this number line:
Evaluate each expression given that a =-5, b=2 and c=1
b) b-a+c
c) 2b+6c
d)abc
e) -2ab/c
Answer:
Given
a=-5
b=2
c=1
i) b - a + c
= 2 -(-5) + 1
=2 + 5 + 1
=8.
ii)2b + 6c
= 2(2) + 6(1)
=4 + 6
=10.
iii) abc = (-5)(2)(1)
= -10.
iv) -2ab/c
= -2(-5)(2)/1
= 20.
A store can buy 8 cartons of milk for 24 dollars or 7 cartons of milk for $28.
How much less does each carton of milk cost if the store buys 8 cartons instead of 7 cartons?
A.
$1 less
B.
$2 less
C.
$3 less
D.
$4 less
Answer:
a
Step-by-step explanation:
28/7=4
24/8=3
need help please and thank youu
A system of two equations involving L and W based on the perimeter and area information include the following:
Area equation: 60 = LW
Perimeter equation: 34 = 2(L + W).
How to calculate the perimeter and area of a rectangle?Mathematically, the perimeter of a rectangle can be calculated by using this equation;
P = 2(L + W)
Similarly, the area of a rectangle can be calculated by using this mathematical expression:
A = LW
Where:
A represents the area of a rectangle.P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.Substituting the given points into the perimeter and area of rectangle formula, we have the following;
A = LW ⇒ 60 = LW
P = 2(L + W) ⇒ 34 = 2(L + W).
Read more on area of a rectangle here: brainly.com/question/25292087
#SPJ1
460,451,442,...
Find the 37th term.
Find the 37th term.
Answer:
The 37th term is 136.
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
The formula for arithmetic sequence is
\(an = a1 + (n - 1)d\)
where,
an is the nth term,
a1 is the first term,
n is the term number and
d is the common difference
Find the 37th term.
an = a1 + ( n-1 ) d
a37 = 460 + ( 37-1 ) -9
a37 = 460 + ( -324 )
a37 = 136
Because perpendicular parking spaces require turning at a __ degree angle, allow yourself plenty of room by delaying turning until you can see all the way down the stall line.
a. 360
b. 90
c. 180
d. 30
Answer:
90
Step-by-step explanation:
The word perpendicular means there is a right angle that is 90°
In the polynomial 5x + 4y - 7z + 2, 2 is a constant.
The given expression is
\(5x+4y-7z+2\)paralelal line y=7x-4
perpendicular line y=2/3x-4
Answer:
M parallel = negative 7
M perpendicular = negative as 3 is the numerator and 2 is the denominator
Step-by-step explanation:
which fraction is equivalent to 6/12
Answer:
1/2
Step-by-step explanation:
....................
Look at the image please
Answer:
Put Plot R at 2. Put Plot S at 1 1/2
Step-by-step explanation:
For Plot S:
- 7/2 - 3/4 - ( -1/4 - 2/12)
-7/2 - 3/4 -(- I/4 - 5/2
-7/2 - 3/4 - (-11/4)
-7/ - 3/4 + 11/4
Answer: -3/2
For Plot R:
7/2 - (-3/4) - (-1/4 + 2 1/2)
7/2 + 3/4 -(- 1/4 + 2 1/2)
7/2 + 3/4 - (-1/4 + 5/2)
7/2 + 3/4 - 9/4
Answer: 2
Brainliest is appreciated
Hope this helped.
the method of collecting data that involves response variables is the
Answer:
The method of collecting data that involves response variables is the (Experimental) method, and the method in which conclusions are drawn by comparing the data collected from two groups without regulating is the (Observational) method.
The product of two numbers is 126 . The smaller number is 5 less than the larger number. Which of the following equations can be used to solve for the larger number?
Answer:
Step-by-step explanation:
45
1.3.1 1.3.2 1.3.3 1.3.4 Government receives income from various sources, like tax and loans. This income is then distributed to the different sectors. TABLE 3 below shows the source of the income and the expenditure for the 2019/20 tax year. SOURCE Tax INCOME Loans ASC QP Other income Non-tax income AMOUNT (in billion rand) 1370 242.7 180.3 31.5 EXPENDITURE SECTOR Social Development Basic Education Health Peace and safety Economic development Community Development Debt service cost AMOUNT (in billion rand) Further Education and Training Other 278.4 262.4 222.6 211.0 209.2 208.5 202.2 APRIL 2021 112.7 B 1823.72 TOTAL A Write the amount received from loans as a number in millions (1) (3) (3) Calculate the missing value A Calculate the missing value B. Show ALL calculations. Determine the amount allocated for Community Development as a percentage of the total expenditure. (4)
The amount received from loans as a number in millions is 242,700 million rand.
How to calculate the valueDeducing value A requires computation of collective income sources, for which the following summation suffices:
Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A
In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.
Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:
Total Income - Total Expenditure = B
(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B
Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.
Learn more about word problem on
https://brainly.com/question/21405634
#SPJ1
100 Points! Algebra question. Graph the function. Photo attached. Thank you!
The cost of each pound of grass seed is $6.
A graph of the solution for the cost of each pound of grass seed is shown below.
How to determine the cost of each pound of grass seed?In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.
Let the variable x represent the cost of each pound of grass seed.
Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;
3.6x + 1.30 = 22.90
3.6x = 22.90 - 1.30
3.6x = 21.60
x = 21.60/3.6
x = $6.
In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.
Read more on solution and equation here: brainly.com/question/25858757
#SPJ1
guys help help help quick
Answer:
the r means remainder
Step-by-step explanation:
just divide lol it needs 20 characters
Create an equivalant expression by combinning like terms
7+8a+5h-3-7a-5h-3-7a-5h-b
the population of the town is 20000 it decreases at a rate of 9% per year in about how many years will the population be fewer than 13000
Answer:
Go here
Step-by-step explanation:
https://brainly.com/question/19678086#:~:text=Step%2Dby%2Dstep%20explanation%3A&text=thats%201%20year.,thats%202%20years.
Answer:
4 years
Step-by-step explanation:
9% of 20,000 is 1,800. So, if you keep subtracting 1,800 from 20,000, it will take 4 times until you get to 12,800, which is as close as you can get to 13,000 in this scenario.
g is directly proportional to h. When g is 14, h is 56. Find the value of g when h is 42.
Answer:
The value of g would be zero
Which of the following equations is the best model for a line of fit for the data?
ŷ = −1.34x + 21.5
ŷ = 1.34x + 21.5
ŷ = −0.75x + 17
ŷ = 0.75x + 17
The correct option is (a) ŷ = -1.34x+21.5 , that is the best model to fit the scatter plot.
What is Scatter plot?A scatter plot (or scatter chart, scatter graph) uses dots to represent values for two(2) different numeric variables. The position of each dot on horizontal and vertical axis indicates values for an individual data point.
The model of the equation best for the plot is,
ŷ = -1.34x+21.5
At point (1,20),
ŷ = -1.34x+21.5
20 = (-1.34 × 1) + 21.5
20 ≈ 20.15
At point (3,19),
ŷ = -1.34x+21.5
19 = (-1.34 × 3) + 21.5
19 ≈17.45
At point (5,15),
ŷ = -1.34x+21.5
15 = (-1.34 × 5) + 21.5
15 ≈ 14.75
The model ŷ = -1.34x+21.5 is giving the best estimation.
To learn more about Scatter plot, visit:
brainly.com/question/29231735
#SPJ1
amy, becky, caroline, and dan are each trying to save $200 for a new phone. the chart shows how much each of them currently have and how much they are saving each week. show all work and explain your steps
A. How much money will Amy have in 3 weeks? Write the expression you use to solve.
B. Write an expression telling how much Amy will have in x number of weeks.
C. Who will be the first person to save $200 and how long will it take?
A) In 3 weeks, Amy will have $121.
B) An equation that shows the amount of savings Amy will have in x number of weeks is 100 + 7x.
C) Becky is the first person to save $200 in 11.5 weeks.
What is an equation?An equation is a mathematical statement that two or more mathematical expressions share equality in their values.
Equations depict the fact that two or more expressions have the same or equivalent values using the equation symbol (=).
The total amount of savings required for a new phone = $200
Amy's savings in x weeks = 100 + 7x
Becky's savings in x weeks = 85 + 10x
Caroline's savings in x weeks = 94 + 8x
Dan's savings in x weeks = 110 + 7x
Amy's savings in 3 weeks = $121 ($100 + 7(3)
Amy:If 100 + 7x = 200
7x = 100
x = 14.3
= 14.3 weeks
Becky:If 85 + 10x = 200
10x = 115
x = 11.5
= 11.5 weeks
Caroline:If 94 + 8x = 200
8x = 106
x = 13.25
= 13.25 weeks
Dan:If 110 + 7x = 200
7x = 90
x = 12.86
= 12.86 weeks
Learn more about equations at https://brainly.com/question/2972832
#SPJ1
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
For more such questions on graph
https://brainly.com/question/19040584
#SPJ8
9-b9−b9, minus, b when b=8b=8b, equals, 8.
If the value of b is 8. Then the value of the expression (9 - b) will be 1.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ 9 - b
If the value of b is 8. Then the value of the expression will be
⇒ 9 - b
⇒ 9 - 8
⇒ 1
More about the simplification link is given below.
https://brainly.com/question/12616840
#SPJ1
Solve for the exact solutions in the interval [0,2]
List your answers separated by a comma, if it has no real solutions, enter DNE.
The solutions to the trigonometric equation in this problem are given as follows:
θ = π/6.θ = 5π/6.θ = 7π/6.θ = 11π/6.What are complementary angles?Two angles are said to be complementary angles when the sum of their measures is of 90º.
For complementary angles, we have that the sine of one of the angles is the cosine of the other angle, hence in this problem we have that 2θ and θ are complementary angles.
Then the value of θ is obtained as follows:
2θ + θ = 90
3θ = 90
θ = 30º.
θ = π/6.
The equivalent angles, which are also solutions to the equation, are given as follows:
θ = 5π/6. -> second quadrant.θ = 7π/6. -> third quadrant.θ = 11π/6. -> fourth quadrant.More can be learned about complementary angles at brainly.com/question/98924
#SPJ1
Can anyone help me on this one
Hello !
Answer :
\({x}^{ - \frac{8}{3} }\)\(\sqrt[3]{ {x}^{ - 8} }\)\(\sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }\)Explanation :
\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)
\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)
\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)
Have a nice day ;)
What is the area of this figure?
\(a \: = \: square \: area \: + \: triangle \: area \: + \: rectangle \: area \: \\ \)
\(a \: = (3 \times 3) + ( \frac{1}{2} \times 3 \times 11) + (3 \times 11) \\ \)
\(a = 9 + \frac{33}{2} + 33 \\ \)
\(a = 9 + 16.5 + 33\)
\(a = 25.5 + 33\)
\(a = 58.5 \: \: {ft}^{2} \)
TOPIC=Rearranging
Task:Make x the subject of these equations
6x + v = 4x + w
ax + 9 = 2x + b
7x - w = vx+4
6 - wx = vx + 4
3(wx-v) = 4(x+v)
All the solutions are,
⇒ x = 1/2 (w- v)
⇒ x = (b - 9)/(a - 2)
⇒ x = (4 + w) / (7 - v)
⇒ x = 2 / (v + w)
⇒ x = 7v/(3w - 4)
Given that;
Expressions are,
⇒ 6x + v = 4x + w
⇒ ax + 9 = 2x + b
⇒ 7x - w = vx+4
⇒ 6 - wx = vx + 4
⇒ 3(wx - v) = 4(x + v)
We can simplify as;
⇒ 6x + v = 4x + w
⇒ 6x - 4x = w - v
⇒ 2x = w - v
⇒ x = 1/2 (w- v)
⇒ ax + 9 = 2x + b
⇒ ax - 2x = b - 9
⇒ (a - 2)x = b - 9
⇒ x = (b - 9)/(a - 2)
⇒ 7x - w = vx+4
⇒ 7x - vx = 4 + w
⇒ (7 - v) x = 4 + w
⇒ x = (4 + w) / (7 - v)
⇒ 6 - wx = vx + 4
⇒ vx + wx = 6 - 4
⇒ (v + w)x = 2
⇒ x = 2 / (v + w)
⇒ 3(wx - v) = 4(x + v)
⇒ 3wx - 3v = 4x + 4v
⇒ 3wx - 4x = 7v
⇒ (3w - 4)x = 7v
⇒ x = 7v/(3w - 4)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
HELP ASAP WILL GIVE BRAINS LIST
jack and clint are running backs on rival college football teams. the table below shows the number of yards they have ran in each of their first five games of a season. how many yards would clint need to run in his next game to average the same number of yards as jack?
Answer:
Clint would have to run 127 yards next game to average the same number of yards as Jack.
Step-by-step explanation:
First, we find the boys' averages by adding all their yards and then dividing by the number of games.
For Jack, we get 490 yards in total, which we divide by 5, the number of games. We get a 98 yard average.
For Clint, we get 461 yards in total, which we divide by 5, the number of games. We get a 92.2 yard average.
We know Clint wants to average 98 yards at the end of the next game. That would make 6 games total. We can multiply 98 x 6 to get the total number of yards for a 98 yard average in 6 games. We get 588 yards in total. Clint already ran 461 yards in total, so we can subtract that from 588. We have 127 yards left. We now know that Clint needs to run 127 yards in the next game for a 98 yard average.
The number of yards that client needs to run in his next game to average the same number of yards as jack will be 127.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how small the amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Mean = sum of data / Number of data
The average of Jack = (123 + 87 + 108 + 80 + 92)/5 = 98
The average of Clint = (88 + 101 + 96 + 92 + 84)/5 = 92.2
To make this average 98 let's say Clint's score in the next game is x.
Mean = (88 + 101 + 96 + 92 + 84 + x)/6 = 98
(92.2 x 5 + x) = 98 x 6
x = 127
Hence"Clint needed to add 127 to be mean as same as Jack".
For more about the mean,
https://brainly.com/question/17060266
#SPJ2
95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
pleas ehelp me ASAP ill give brainliest
Answer:
what's the question ⁉️ it's not there
Answer:
where is da question?
Step-by-step explanation: