Answer:
7/2 > b + 9/5
-9/5 -9/5
7/2-9/5>b
35/10-18/10>b
17/10>b
1 7/10 > b
b<17/10
b<1 7/10
I rewrote the inequality in many forms just in case if you needed it. The bolded forms are all the same except two have improper fractions, two have mixed numbers, and the b is on the right hand side for two whereas in the other two b is on the left hand side.
Step-by-step explanation:
Answer:
b < 17/10
Knowledge NeededTo solve, you must isolate the variable. It means moving the variable and it's coefficient to the other side of the equation by itself.
Rule
If you multiply, divide, add, subtract, square root, exponent both sides of the equation by the same value, that end value stays the same. That is how you solve for it.
However, if you divide or multiply by a negative number by both sides in an inequality, you must flip the sign.
For example:
> to <
[tex]\geq[/tex] to [tex]\leq[/tex]
QuestionSubtract 9/5 on both sides.
7/2 - 9/5 > b + 9/5 - 9/5
Combine like terms,
7/2 - 9/5 > b
Find the LCD of 7/2 and 9/5 to solve.
LCM of 2 and 5: 10
Multiply both top and bottom of both fractions by 10/their denominator.
35/10 - 18/10 > b
17/10 > b
b < 17/10
Type a division sentence for this repeated subtraction sentence.
24 - y - y-y-y-y-y-y-y=0
For this repeated subtraction statement, type a division sentence.
24 - y - y - y - y - y = 0 is 24 divided by y or 24÷y
This is a series of subtractions. You keep subtracting y until you get to zero.
Every reduction is a group of y.
Division is essentially just a series of subtractions.
Dividends can be resolved by "subtracting" or crossing off groups of the same size from the total in the visual model until nothing is left. Examples demonstrate how division problems can be resolved by consistently removing the same number (the divisor). In many cases, it is actually simpler to add than to remove. To calculate the dividend, you must first determine how many times to add the number (the divisor).
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What is the additive inverse of the polynomial â 9xy2 6x2y â 5x3?
The additive inverse of the polynomial is [tex]9xy^2 -6x^2y +5x^3[/tex]
Now, According to the question:
Let's know:
What is Additive inverse of the polynomial?
Additive inverse means changing the sign of the number and adding it to the original number to get an answer equal to 0.
Hence, for the given polynomial; [tex](-9xy^2 + 6x^2y -5x^3)[/tex] .
The additive inverse is; -1 ×[tex](-9xy^2 + 6x^2y -5x^3)[/tex]
Therefore;
The additive inverse of the polynomial is [tex]9xy^2 -6x^2y +5x^3[/tex]
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How to write 12x + 8 as a product
The expression 12x + 8 can be Witten as product as 4(3x +2)
What is factorization?In this question we have to write the value into the product.
Firstly, we have to write it as twelve 'x' plus eight. Then we have to check in which table both numbers in common.
The common between both is four hence we multiply the common values from the two into 'x' in order to find the product of the equation.
12x + 8
3*4= 12 and 4*2 = 8
Hence, we take 4 as common
We just take the common value and write numbers as product form like multiplication,
Therefore, the answer is 4(3x+2).
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Please write word answer that I can use I will mark brainliest
Answer: Kevin drew an obtuse scalene triangle.
A rectangle has base length x + 7, altitude length x + 4, and diagonals of length 3x each. What are the lengths of its base, altitude, and diagonals?
For the given rectangle the length of the base, altitude , and the diagonals is given by 12, 9 , and 15 units respectively.
As given in the question,
In the given rectangle,
Base length of the rectangle = x + 7
Altitude length of the rectangle = x + 4
length of diagonals = 3x
As diagonal , base , and altitude forms a right angled triangle,
Diagonal represents the hypotenuse.
Using Pythagoras theorem
(Diagonal length)² = ( Base length)² + ( altitude length)²
⇒(3x)² = ( x + 7 )² + ( x + 4 )²
⇒ 9x² = x² + 14x + 49 + x² + 8x + 16
⇒7x² - 22x - 65 = 0
⇒7x² - 35x + 13x - 65 = 0
⇒ 7x ( x - 5 ) + 13 ( x - 5 ) = 0
⇒ ( 7x + 13 ) ( x - 5 ) = 0
⇒ x = -13/7 or x = 5
Negative value unacceptable.
⇒x = 5
Base length = 12
Altitude length = 9
Diagonal length = 15
Therefore, for the given rectangle base length, altitude length, and the diagonal length is equal to 12, 9 , and 15 units respectively.
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Please answer I need help
Answer:
B
Step-by-step explanation:
Isosceles has two of the same lengths
Isosceles is also an acute angle, since the angles are less than 90 degrees.
Hope this helped!
What is an equation of the line that passes through the points (6, 5)(6,5) and (7, 7)(7,7)?.
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{6}}} \implies \cfrac{ 2 }{ 1 } \implies 2[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ 2}(x-\stackrel{x_1}{6}) \\\\\\ y-5=2x-12\implies {\Large \begin{array}{llll} y=2x-7 \end{array}}[/tex]
Which of the following is a logarithmic function?
y= 0.25x
y= x^0.25
y= log 0.25x
y= (0.25)^x
The only logarithmic function of the given options is y = log 0.25x, which is a function that expresses the logarithm of 0.25 times x. Logarithmic functions are inverse of exponential functions, and are represented by an equation of the form y = log bx, where b is the base of the logarithm.
1. The logarithmic function y = log 0.25x can be written as y = log(0.25) + log(x).
2. To calculate the value of y, first calculate the logarithm of 0.25: log(0.25) = -2.
3. Then calculate the logarithm of x: log(x) = log(x).
4. Finally, add these two values together to get the value of y: y = -2 + log(x).
The logarithmic function y = log 0.25x is a function that expresses the logarithm of 0.25 times x. Logarithmic functions are inverse of exponential functions and are represented by an equation of the form y = log bx, where b is the base of the logarithm. To calculate the value of y, first calculate the logarithm of 0.25, which is equal to -2. Then calculate the logarithm of x, which is equal to log(x). Finally, add these two values together to get the value of y: y = -2 + log(x). This equation can be used to calculate the value of y for any value of x. Logarithmic functions can be used to solve equations and simplify calculations involving exponential functions. Logarithmic functions are also important for understanding concepts like exponential growth and decay, and for calculating compound interest.
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Answer:
y=log0.25^x or C
Step-by-step explanation:
edge
what is the smallest integer $n \ge 2$ such that there are exactly three different primes that divide $n^4 - n^3?$
Therefore , the solution of the given problem of prime factor comes out to be 30 is the smallest integer for the three different prime number.
Prime factor: What is it?A prime factor is any non-zero natural integer that has just itself and 1 as its divisors. The first real numbers include 1,2,5,3,7 among others. a quantity that has been repeated to yield a different quantity. For example, we obtain (3) 5 = 15 when we divide 15 by Three and 5. primary components All elements that seem to be prime but aren't composite are referred to be prime factors. 2, 3, and 5 are some prime factors of 30.
Here,
Given :
The lowest three prime numbers can be calculated by
adding them together.
The answer is
=> 2 x 3 x 5 = 30,
since the first 3 prime numbers being 2, 3, and 5.
Thus , 30 is the smallest integer for the three different prime number
Therefore , the solution of the given problem of prime factor comes out to be 30 is the smallest integer for the three different prime number.
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What is the name of 360 degree angle?
An angle of measure 360 degrees is called a full angle.
If after one whole rotation, the final ray coincides with the incident or initial ray, then the angle so formed is known as the complete angle.
A full angle is one that measures 360 degrees. An angle is generated when two lines intersect at a place and the distance between these two lines is measured. Angles are classified into several types, including right angles, acute angles, obtuse angles, and so on. A whole angle is one complete revolution of 360°.
Thus, An angle of measure 360 degrees is called a full angle.
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For what value of k the following pair of linear equations has no solution?
Answer:
i think you forgot to write the equations
The following figure is a rectangle made up of two smaller rectangles,
(a) Find the area of the following (in square units).
The light rectangle (on the top):
The dark rectangle (on the bottom):
(b) Give the area of the entire figure (in square units) in two different ways.
As a sum of two areas:
As a product of the length and width:
4 sides, 4 corners(corners are called vertices).
How do you calculate a rectangle’s square unit?Formula for area
The area of any rectangle may be calculated by multiplying the length by the width.
Let’s give it a go!
This rectangle has a length of 7 units. This rectangle has a width of 6 units.
Divide the length by the width.
So, the area of the rectangle is 42 square units.
a)8.x=8x m square
5×8=40 m square
b)as a sum of two areas
8x+40m square
As a product of the Length and width
(X+5).8m square
So the area is 8+40 or (x+5).8 m square
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What is the integral of ln 2x?
when performing a statistical analysis, why do we usually work with a sample rather than an entire population?
Working with a sample rather than an entire population is often more practical and cost-effective. It can also be more accurate since it reduces the chances of sampling bias.
Additionally, it can be faster and more efficient since it requires less data and can be done in a shorter period. Furthermore, a sample can provide more insight into the population as a whole since it is representative of the population, and the results of a sample can be generalized to the entire population. Finally, working with a sample is more manageable and easier to analyze than working with an entire population. This is because a sample has fewer data points, which can make it easier to identify patterns and draw conclusions.
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The table below shows the height's of three students. How much taller is Aaron than Siri?
_______________________________________________________________
Aaron - Height - 53 1/2
Rachel - Height - 53 1/4
Siri - Height - 48 3/4
_______________________________________________________________
Answer choices:
A: 4 1/4
B: 4 1/2
C: 4 3/4
D: 5 1/4
Answer:
C) 4 3/4
Step-by-step explanation:
If you're having trouble with fractions, just convert to decimal
53.5 - 48.75 = 4.75 or 4 3/4
Kendra hits the target 3 times for every 5 misses, Dalisay hits the target 5 times for every 7 misses. Who hits the Target More.
Dalisay hits the Target more than Kendra hits the target.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Kendra hits the target 3 times for every 5 misses,
And, Dalisay hits the target 5 times for every 7 misses.
Hence, The rate of hits the target by Kendra is,
⇒ 3/5
⇒ 0.6 times per misses
And, The rate of hits the target by Dalisay is,
⇒ 5/7
⇒ 0.7 times per misses
Hence, Dalisay hits the Target More.
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Please help!
Compare the rates to find which is the better value. $1020 for 30 books or $1725 for 50 books.
Answer:
$1020 for 30 books
Step-by-step explanation:
We know
$1020 = 30 books
$34 = 1 book
$1725 = 50 books
$34.50 = 1 books
So, $1020 for 30 books is better
Answer: 1020 for 30 books is a better value
Step-by-step explanation: 1020 divided by 30 is 34 and 1725 divided by 50 is 34.5. When doing these kind of division questions, remember that money always goes on the numerator (top)
Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo. What were the dimensions of the original photo? 4 inches by 4 inches 6 inches by 6 inches 10 inches by 10 inches 12 inches by 12 inches
On simplifying the equation (x + 10)² = 256 the dimensions of the original photo is obtained as 6 inches by 6 inches.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The measure of side of original square photo is x.
The square photo is enlarged by adding 10 inches to it = x + 10
The area of the enlarged square photo is 256 in².
The formula for area of a square is = (side)²
So, the equation to find the side of original photo is -
(x + 10)² = 256
Apply the formula (a + b)² = (a² + 2ab + b²) on the left hand side -
x² + 20x + 100 = 256
x² + 20x + 100 - 256 = 0
x² + 20x - 156 = 0
Factorize the quadratic equation to find the value of x -
x² + 20x - 156 = 0
x² + 26x - 6x - 156 = 0
x(x + 26) - 6(x + 26) = 0
(x + 26) (x - 6)
x = -26, x = 6
Since the side of the square photo cannot be negative, so x = 6 is the correct answer.
The sides of the square are same.
Therefore, the original photo had measurements 6 inches by 6 inches.
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(2x - 4)(7x'
- 6г - 6)
Answer: Simplified answer: 14x 2−28x Factor the expresion: 14x(x−2)
Step-by-step explanation: Simplified answer: Evaluate
(2x−4)(7x ′−6g−6)
Remove the parentheses
(2x−4)×7x
Multiply the terms
7x(2x−4)
Apply the distributive property
7x×2x−7x×4
Multiply the terms
14x 2−7x×4
Solution
14x2−28x
The ratio of apps eric and ian installed on their ipad is 3:4 eric installed 6 more apps and now the ratio has changed to 5:4 find how many more apps ian must install to have the same number of apps
Answer:
3
Step-by-step explanation:
Given that installing 6 apps increases the Eric : Ian app ratio from 3:4 to 5:4, you want to know how many more apps Ian needs to install to have the same number as Eric.
Ratio unitsWe note that the number of apps representing Ian's apps remains at 4 in both ratios, but increasing Eric's apps by 6 changes his number of ratio units from 3 to 5, a change of 2 ratio units. That is, each ratio unit represents 3 apps.
Eric now has 1 more ratio unit (5) than Ian (4), so Ian needs to increase his number by 1 ratio unit, or 3 apps.
Ian must install 3 apps to have the same number as Eric.
__
Additional comment
To see how many actual apps we're talking about, multiply the ratios by 3. The initial Eric : Ian app ratio was 9 : 12. After Eric installed 6, it became (9+6) : 12 = 15 : 12. So, Ian needs to install 15-12 = 3 apps to have as many as Eric.
What is the domain and range of y 5 x?
The domain and range of y = 5^x is all real numbers.
The domain of y = 5^x is all real numbers, x. There are no restrictions on the input value for x, so any real number can be used as the exponent.
The range of y = 5^x is all positive real numbers, y. This is because the base of the exponential function, 5, is positive and the exponent, x, can be any real number. As the exponent increases, the value of the function will also increase and the function will approach positive infinity. Similarly, as the exponent decreases, the value of the function will also decrease and approach zero. Therefore, the range of y = 5^x is all positive real numbers, y.
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please hurry!! Solve the system of equations:
[12y=x-5
[-2x +9y5
O x = 5, y = 0
O x = -7₁ y = -1
O Cannot be determined from the information given
○x=-1₁ y = -7
Answer:
x = -7, y = -1
Step-by-step explanation:
Solve the following system:
{12 y = x - 5 | (equation 1)
9 y - 2 x = 5 | (equation 2)
Express the system in standard form:
{-x + 12 y = -5 | (equation 1)
-(2 x) + 9 y = 5 | (equation 2)
Swap equation 1 with equation 2:
{-(2 x) + 9 y = 5 | (equation 1)
-x + 12 y = -5 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{-(2 x) + 9 y = 5 | (equation 1)
0 x + (15 y)/2 = -15/2 | (equation 2)
Multiply equation 2 by 2/15:
{-(2 x) + 9 y = 5 | (equation 1)
0 x + y = -1 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{-(2 x) + 0 y = 14 | (equation 1)
0 x + y = -1 | (equation 2)
Divide equation 1 by -2:
{x + 0 y = -7 | (equation 1)
0 x + y = -1 | (equation 2)
Collect results:
Answer:{x = -7, y = -1
Gretta, Trisha, and Steve are investing money in hopes of becoming millionaires. All accounts have annual compound interest.
Gretta invests $2,000 in an account that promises 10% growth every year. Trisha invests $1,000 in an account that promises 15% growth every year. Steve invests $2,000 in an account that promises 5% growth every year.
How much will Steve and Gretta have in 10 years
The future value of investment in 10 years for Steve will be $3,257.79 and for Gretta will be $5,187.48.
To find out how much money Steve and Gretta will have in 10 years, we need to calculate the future value of their investments using the compound interest formula:
FV = PV× (1 + r)ⁿ
Where:
FV is the future value of the investment
PV is the present value of the investment (i.e. the initial investment)
r is the annual interest rate (expressed as a decimal)
n is the number of years
For Steve:
PV = $2,000
r = 0.05 (5% expressed as a decimal)
n = 10
So, the future value of Steve's investment in 10 years will be:
FV = $2,000(1 + 0.05)¹⁰
FV = $3,257.79
For Gretta:
PV = $2,000
r = 0.10 (10% expressed as a decimal)
n = 10
So, the future value of Gretta's investment in 10 years will be:
FV = $2,000(1 + 0.10)¹⁰
FV = $5,187.48
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what's the area of a shape with the dimensions of
3cm 1 cm 3cm 2cm
Answer:
18 centimeters
Step-by-step explanation:
3 x 3 x 2 x 1 = 18
hope you paas your quiz or test <3
What is the meaning of 2²?
2² is a mathematical expression that means "2 to the power of 2" or "2 multiplied by itself 2 times". The answer is 4.
2² is a mathematical expression that can be used to calculate the result of multiplying a number by itself a certain number of times. In this case, the expression 2² means to multiply 2 by itself 2 times. This can be written as 2 x 2, or 2 raised to the second power, which is represented by the small superscript 2 after the number 2. The result of this calculation is 4, which can be written as 2² = 4. This expression can be used to calculate the result of any number multiplied by itself a certain number of times, by replacing the number 2 with any other number and the superscript 2 with the number of times it should be multiplied. For example, 3² means 3 multiplied by itself 2 times, or 3 x 3, and the result is 9, which can be written as 3² = 9.
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Hamne Kuta Software Infinite Algebra 2 Systems of Two Equations Solve each syslem by graphing: Y=-Jrt4 Y=3- Dilc s-y=} Tr-Y=-3 4x+y=2 X-y=} Solve cach system by substitution 5) y=4-5 2" 4X-3 J"+2
The linear equations derived are:
y= 2x-4 ..................................1)
y=5x+3......................................2)
The slope and y-intercept of a linear equation in two variables are two important characteristics of the equation that can be used to graph the equation on a two-dimensional coordinate system.
The slope of a linear equation in the form of y = mx + b is represented by the coefficient of x, which is m. The slope tells us the steepness of the line and the direction it is moving. If m is positive, the line slopes upward to the right, if m is negative, the line slopes downward to the right.
The y-intercept of a linear equation in the form of y = mx + b is represented by the constant term b. The y-intercept is the point where the line crosses the y-axis. It can be found by setting x=0 and solving for y.
On comparing the equations with the general equation of linear equation in two variables we get:
m1=2 and b1=-4
m2=5 and b2=3
Therefore, The linear equations derived are:
y= 2x-4 ..................................1)
y=5x+3......................................2)
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What is the equation of the line that passes through the point (- 2 7 and has a slope of 2?
The equation of the line passing through the point ( -2, 7) and the given slope 2 is y = 2x + 11.
As given in the question,
Required line passes through the points :
( x₁ ,y₁ ) = ( -2 , 7 )
And the slope of the line is equal to 2
Standard form of the equation of the line is :
( y - y₁ ) / ( x - x₁ ) = ( y₂ - y₁ ) / ( x₂ - x₁ )
Here slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
= 2
Required equation of the line with given point and the slope is:
( y - 7 ) / ( x -(-2)) = 2
⇒ ( y - 7 ) / ( x + 2 ) = 2
⇒ ( y - 7 ) = 2 ( x + 2 )
⇒ y - 7 = 2x + 4
⇒ y = 2x + 11.
Therefore, the required equation of the line passing through the given point ( -2 , 7 ) and the slope 2 is equal to y = 2x + 11.
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PLEASE HELP QUICKLY!! The scatterplot shows the ages and values of cars that residents in a neighborhood own.
Which statement about the scatterplot is true?
The point (10, 15) shows there is no relationship between the age of a car and the value of a car.
By excluding (10, 15), a better description can be given for the data set.
By including (10, 15), the description of the data set can be understated.
Although (10, 15) is an extreme value, it should be part of the description of the relationship between the age of a car and the value of the car.
By excluding (10, 15), a better description can be given for the data set. The correct option is C.
What is a scatter plot?A scatter plot is a particular kind of plot or mathematical diagram that displays values for typically two variables for a collection of data. It uses Cartesian coordinates. A second variable can be shown if the points are coded.
Overall, this data seems to suggest a decreasing trend. The value (10, 15) is an outlier; if we remove it, the trend appears to be stronger. Thus if we exclude this value we can give a better description of the data set.
The missing image is attached with the answer below.
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Write an equation of the ellipse with foci at (0, ±3) and co-vertices at (±3, 0).
PLEASE HELP :(((((
Using the foci and co-vertices, the equation of ellipse is (x^2/9) + (y^2/9) = 1
What is the equation of EllipseAn ellipse is defined as the set of all points such that the sum of the distances from the foci to the point is constant. The distance between the foci is 2*c, where c is the distance from the center to either focus.
Given that the foci are at (0, ±3) and the co-vertices are at (±3, 0), we know that the center of the ellipse is at (0, 0) and the distance between the foci is 2c
So the equation of the ellipse with foci at (0, ±3) and co-vertices at (±3, 0) can be written as:
(x²/3²) + (y²/b²) = 1
Where a = 3, b = 9
So, the equation of the ellipse is (x^2/9) + (y^2/9) = 1
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When two lines meet at right angle is called?
Perpendicular lines are lines that intersect at a right (90 degrees) angle.
A right angle is one that is 90 degrees in length. It is the most frequently encountered angle in our daily lives. It can be noticed in room corners, box edges, mobile phone screens, and so on.
A square's and a rectangle's sides always make a right angle with each other. It is represented in radians as /2.
The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter "L". In the following figure, ray AB and BC form a right angle ABC.
Thus, Perpendicular lines are lines that intersect at a right (90 degrees) angle.
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