Graphing and Solving Inequalities
m-1<-3
a
-4y <-20
5+b>1
++
-18
The last equation keeps dropping off it is -18
Solutions for the given equalities:
m < - 2
y > 5
b > -4
What is inequality in mathematics?
An inequality in mathematics is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.
The given inequalities are
1) m - 1 < -3
Adding 3 on both sides, we get
m - 1 + 3 < -3 + 3
m + 2 < 0
Subtracting 2 from both the side, we get
m + 2 - 2 < 0 - 2
m < - 2
The graph of this inequality is shown below
2) -4y < -20
Dividing by -4, we get
y > 5
The graph of this inequality is shown below
3) 5 + b > 1
Subtracting 1 from both the side, we get
b + 4 > 0
b > -4
The graph of this inequality is shown below
4) y = -18
This is a point on a number line, and it can be shown as
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a company’s stock was selling at 35$ a share a month later it was selling at 14$ a share what is the percent loss
If a company’s stock was selling at 35$ a share a month later it was selling at 14$ a share the percentage loss is 60%
The company's initial share price = $35 per share
The company's new share price = $14 per share
Therefore the share price decreased from $35 to $14, we have to find the percentage loss
The percentage loss = [(The company's initial share price - The company's new share price) / The company's initial share price ] × 100
Substitute the values in the equation
The percentage loss = [(35-14) / 35] × 100
= (21/35)×100
= 0.6 × 100
= 60%
Hence, if a company’s stock was selling at 35$ a share a month later it was selling at 14$ a share the percentage loss is 60%
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What is the solution to the following inequality?
X/-3≤ 3
O A. x ≤ 1
OB. x ≤-9
OC. x≤-9
D. x ≤ 6
The solution to the x/-3≤ 3 inequality is x ≤ -9.
Define inequality.In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions.
Given,
Inequality:
x/-3 ≤ 3
Cross multiplying:
x ≤ 3× -3
x ≤ -9
The solution to the x/-3≤ 3 inequality is x ≤ -9.
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Express x and y in terms of trigonometric ratios.
In terms of trigonometric ratios, x is 6 sin∅ and y is 6 cos∅.
Define trigonometric ratios.The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others. Circular trigonometric functions are another name for them. The ratios of an angle in a triangle are a straightforward definition of a function. This means that these trig functions provide the relationship between the angles and sides of a triangle.
Given,
Expressing x and y in terms of trigonometric ratios,
Base = 6
x = Opposite
y = Hypotenuse
x = 6 sin∅
y = 6 cos∅
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y+2=4/5(x+7) in stander form
Answer:
4x - 5y = -18
Step-by-step explanation:
y+2=4/5(x+7)
5(y + 2) = 5 × 4/5(x + 7)
5y + 10 = 4x + 28
5y = 4x + 18
4x - 5y = -18
Using the declining-balance method, complete the table as shown (twice the straight-line rate): (Enter your answers as a whole dollar amount.) Auto $29,000 5 years Residual $2,000 Year Cost Accumulated Depreciation B.O.Y Book Value B.O.Y Depreciation Expense Accumulated Depreciation E.O.Y Book Value E.O.Y 1 A B C D E F 2 G H I J K L 3 M N O P Q R
Using the double-declining-balance method of depreciation, the completion of the table as shown is as follows:
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $29,000 $0 $29,000 $11,600 $11,600 $17,400
2 $29,000 $11,600 $17,400 $6,960 $18,560 $10,440
3 $29,000 $18,560 $10,440 $4,176 $22,736 $6,264
What is the double-declining-balance method?
The double-declining-balance method is one of the depreciation methods in use, but it allocates more cost to the earlier years of the asset's life.
This depreciation method uses twice the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2.
For each year's depreciation expense, the double rate is applied at the end of the year's balance.
For the last year, the difference between the previous year's ending balance and the residual value is taken as the depreciation expense.
Auto = $29,000
Estimated useful life = 5 years
Residual = $2,000
Depreciable amount = $27,000 ($29,000 - $2,000)
Straight-line depreciation rate = 20% (100/5)
Double-declining depreciation rate = 40% (20% x 2)
Depreciation Expense:
1st year = $11,600 ($29,000 x 40%)
2nd year = $6,960 ($17,400 x 40%)
3rd year = $4,176 ($10,440 x 40%)
4th year = $2,506 ($6,264 x 40%)
5th year = $1,758 ($3,758 - $2,000)
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $29,000 $0 $29,000 $11,600 $11,600 $17,400
2 $29,000 $11,600 $17,400 $6,960 $18,560 $10,440
3 $29,000 $18,560 $10,440 $4,176 $22,736 $6,264
4 $29,000 $22,736 $6,264 $2,506 $25,242 $3,758
5 $29,000 $25,242 $3,758 $1,758 $27,000 $2,000
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I need help right now thank you...
Answer:
1 and 3 equal 126 (vertical angle)
2 and 4 equal 54 (supplemental angles 180-126)
Step-by-step explanation:
Answer:
angle 2: 54 degrees
Angle 3: 126 degrees
Angle 4: 54 degrees
Step-by-step explanation:
since angle 1 is 126 degrees we can find angle 2 since it’s right next to it like that the 2 angles added equal 180 degrees so we just subtract from 180
180-126
Angle 2 is 54 degrees
Since angle 3 is across angle 1 they are equivalent so angle 3 is 126 degrees
Since angle 4 is across angle 2 they are equivalent so angle 4 is 54 degrees
Hopes this helps please mark brainliest
please help asap (math question)
The exponential function for the given graph having points (2, 16) is f(x) = [tex]4^{x}[/tex].
What is an exponential function?The exponential function is a type of mathematical function that can be used to determine whether something is increasing or decreasing exponentially, such as population, money, or price. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base.
Exponents are used in exponential functions, as the name indicates.
The given point on the graph is (2, 16).
The given function is f(x) = [tex]a^{x}[/tex]
From graph, (x, y) = (2, 16)
Put the value of (x, y) = (2, 16) in f(x) = [tex]a^{x}[/tex]
16 = a²
a = √16
a = 4
So, the function is
f(x) = [tex]4^{x}[/tex]
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If Jeff has 1 Apple and Jessica has 2 apples how many do they have together
answer: 3
simply add 1 apple from Jeff and 2 apples from Jessica
(1+3) = ?
Thus, the answer is 3 apples all together
If the required reserve ratio is 10 percent, currency in circulation is $1,200 billion, checkable deposits are $1,600 billion, and excess reserves total $2,500 billion, then the m1 money multiplier is.
If the required reserve ratio is 10 percent, currency in circulation is $1,200 billion, checkable deposits are $1,600 billion, and excess reserves total $2,500 billion
Given that
Reserve ratio is 10 percent
Currency in circulation is $1,200 billion
Checkable deposits are $1,600 billion
Excess reserves total $2,500 billion
Here we are calculating M1 measure of money supply
C: Currency in circulation
D: Checkable Deposits
M1=C+D = 1200+1600= 2800
C: Currency in circulation
D: Checkable Deposits
Currency Deposit Ratio= C/D = 1200/1600 = 0.75
ER: Excess Reserves
CD: Checkable Deposits
Excess Reserve Ratio= ER/CD= 2500/1600 = 1.56
The formula for the M1 money multiplier is:
M1 money multiplier= M1/MB
M1 money multiplier= C+D / R+C
M1 money multiplier= C+D / q∗D+ER+C
M1 money multiplier= (1,200+1,600) / (0.1∗1,600+2,500+1,200)
M1 money multiplier= 0.73
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A company that makes hair-care products had 2,000 people try a new shampoo. Of the 2,000 people, 16 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.08%
Step-by-step explanation:
The coordinates of the vertices of a polygon are shown on the graph below.
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle
Answer:
Triangle
Step-by-step explanation:
It has three side unlike the others can't have three sides
What is the slope of the
function below?
(3, 10)
(0, 1)
Slope = [?]
Simplify your answer.
Answer:
slope is 3
If you need the formula lmk
Answer: 3
Step-by-step explanation:
calculate the slope by subtracting the y coordinates, subtracting the corresponding x coordinates, then dividing y by x.
(10-1)/(3-0)=9/3=3
Break down 28+5 to make a ten
There is 10.
28+5= 33
10+18+5=33
Which equations are true? Select all that apply. A. 66 ÷ 10 1 = 6 . 6 B. 660 ÷ 10 0 = 66 C. 6 , 600 ÷ 1 , 000 = 0 . 66 D. 0 . 66 ÷ 10 1 = 0 . 066 E. 6 ÷ 100 = 0 . 06
The equations 66 ÷ 10 = 6.6, 660 ÷ 10 = 66, 0.66 ÷ 10 = 0.066, and 6 ÷ 100 = 0.06 are true. which is the correct answer would be options (A), (B), (D), and (E).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
A. 66 ÷ 10 = 6.6
66/10 = 6.6
This is the true equation.
B. 660 ÷ 10 = 66
660/10 = 66
This is the true equation.
C. 6,600 ÷ 1,000 = 0.66
This is not the true equation.
D. 0.66 ÷ 10 = 0.066
This is the true equation.
E. 6 ÷ 100 = 0.06
This is the true equation.
Thus, the equations 66 ÷ 10 = 6.6, 660 ÷ 10 = 66, 0.66 ÷ 10 = 0.066, and 6 ÷ 100 = 0.06 are true.
Hence, the correct answer would be options (A), (B), (D), and (E).
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HELP ME PLS
Kevin needs to read 3 novels each month.
Let N be the number of novels Kevin needs to read in M months.
Write an equation relating N to M . Then use this equation to find the number of novels Kevin needs to read in 19 months.
Kevin needs to read 57 novels in 19 months.
Given,
The number of novels Kevin needs to read in a month = 3
N = Number of novels Kevin needs to read in M months.
Write an equation with M and N.
That is,
Kevin needs to read 3 novels in one month.
So, number of novels, N Kevin reads in M months, 3M = N
The equation is;
3M = N
Now,
The number of months Kevin needs to read the novels = 19
Then,
The number of novels Kevin reads in 19 months;
3M = N
3 × 19 = 57
That is,
Kevin needs to read 57 novels in 19 months.
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Find m and c for this line
Y+3x=1
Answer:
m = -3 ; c = 1
Step-by-step explanation:
y = -3x + 1
y = mx + c
m = -3
c = 1
"A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)"
The time taken for the rocket to reach its maximum height by virtue of the information given is; 2.25 seconds.
The maximum height reached by the toy rocket is; 88 feet.
What is the maximum height reached by the rocket?It follows from the task content that the maximum height reached by the rocket is to be determined.
The given function is; h (t) = -16 t² + 72t + 7.
Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.
Therefore; at maximum height;
h'(t) = 0
h'(t) = -32t + 72 = 0
-32t = -72
t = -72/-32
t = 2.25 seconds.
Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.
Also, the maximum height reached by the rocket is at; h (2.25);
h(2.25) = -16(2.25)² + 72 (2.25) + 7
= -81 + 162 + 7
= 88.
The maximum height reached is; 88 feet.
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answer the questions below⬇️⬇️
The perimeter of the given figure is 19 cm and area is 20 cm².
What is perimeter?
A perimeter could be a closed path that encompasses, surrounds, or outlines either a 2 dimensional form or a one-dimensional length. The perimeter of a circle or an oval is termed its circumference.
Main body:
to find the perimeter we need the measurement of each side.
so length of DE side
DE = A F - BC
DE = 6-2
DE = 4 cm
so perimeter = 6+4+2+4+3
= 19 cm
area of figure = area of rectangle ABCG + GDEF
area = 4*3 + 4*2
area of figure = 12+8
Hence area is 20 cm².
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Which set has a domain of {2,3} and a range of {5,8}?
Responses
{(2,8), (3,5), (3,0)}
{(3,5), (2,5), (3,8)}
{(8,3), (8,2), (5,2)}
{(5,8), (2,3), (3,5)}
Answer:
B
Step-by-step explanation:
The domain is the set of x-coordinates.
The range is the set of y-coordinates.
In B, x is only 2 and 3.
In B, y is only 5 and 8.
Write and solve the equation for the following questions:
Leo ordered 4 large popcorn and soda combos. Each combo cost the same amount. With a $5
movie membership fee, the total cost was $68.96. How much did each popcorn and soda combo cost?
Answer:
$15.99
Step-by-step explanation:
Let y = the total cost
Let x = the cost of the combo
4x + 5 = 68.96 Subtract 5 from both sides
4x = 63.96 Divide both sides by 4
x = 15.99
Hey guys please help me on this math homework
A scientist places 20 mg of bacteria in a culture for an experiment and he finds that the mass of the bacteria triples every day.
a.)Each day that passes, the mass of bacteria in the culture changes by what percent?
Answer: 300%
Step-by-step explanation:
Multiplying something by 3 is the same as 300% of that number
20 x 3 = 60
60 = 300% x 20
simplify (8.1)(8.1²)⁴
(8.1)6
(8.1)7
(8.1)8
(8.1)9
The indices (8.1)(8.1²)⁴ simplifies to 8.1⁹
How to simply indices?
Index is the power or exponent which is raised to a number or a variable. For example, in number 3², 2 is the index of 3. The plural form of index is indices
Given: (8.1)(8.1²)⁴
To simplify these indices, we are going to apply one of the indices, which is expressed below: (4³)² = 4³ ˣ ² = 4⁶. We basically multiply the powers
We also need another law which is expressed below:
3⁶ x 3⁴ = 3⁶⁺⁴ = 3¹⁰
If two indices with the same base (in case 3) are being multiplied, you can simplify by taking one of the bases and then add the powers
Thus, to simplify (8.1)(8.1²)⁴:
(8.1)(8.1²)⁴ = (8.1)(8.1)²ˣ⁴
= (8.1)(8.1)⁸
= 8.1¹ × 8.1⁸
= 8.1¹⁺⁸
= 8.1⁹
Therefore, (8.1)(8.1²)⁴ simplifies to 8.1⁹. The 4th option is the answer
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Look at the table below. Which number can replace X in the table?
ratios and rates test
Group of answer choices
10
6
8
9
Answer: 9
Step-by-step explanation:
Each input is multiplied by 5. This means to get x, we need to divide 45 by 5, which is 9.
f(x)=6x/5+3
Find the inverse of f(x)
f(x) can be written as y
y=6x/8
make x the subject
8y=6x
x= 8y/6
replace y with x and x with f(x)
answer:
f(x)-1 = 8x/6
Subtract the expressions. (9.12n − 4.3) − (8 + 13.6n)
The expression (9.12n 4.3) (8 + 13.6n) are subtracted to yield (12.3 + 4.48n).
What is an algebraic expression?
An algebraic expression is a type of mathematical expression that uses variables and constants.
Algebraic expressions are evaluated by changing the variables to numbers or values.
What in mathematics is a polynomial?
Sums of terms of the form k⋅xⁿ, when k is any variable and n is a positive number, compensate polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video.
Detailed explanation:
We begin by solving the equation = 9.12n - 4.3 - 8 - 13.6n. Next, we remove the comparable terms using the formula = - 12.3 - 4.48n.
Therefore, the simple answer to the formula is -(12.3 + 4.48n).
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Part A
3
A model car is for sale online. Beginning on day one, the owner discounts the price by 5% each day until it sells. On the third day th
If the original price of the model car was $40, how much did the car sell for to the nearest cent?
The car selling price is $34.30
From the question, we have
Selling price = 40* 95/100*95/100*95/100
=$34.30
The car selling price is $34.30
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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(12x)
D
A
E
(17x - 14)°
В
(2x + 5)°
с
The value of x for the given equation (2x+5)=(17x-14) will be 19/15.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
(2x+5)=(17x-14)
We have to rearrange the equation by applying the arithmetic operation for the like term, the terms which are similar, and we can perform arithmetic operations on it like addition and subtraction.
17x-2x=5+14
15x=19
x=19/15
Thus, the value of x for the given equation (2x+5)=(17x-14) will be 19/15.
The question is incomplete, the complete question is"solve the value of x for the given equation,
(2x+5)=(17x-14)
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Between which two benchmark fractions is? How do you know?
I ready classroom mathematics grade 5 volume 1
Answer:
Their Divider
Step-by-step explanation:
1-->1/2+1/2-->1/4+1/4+1/4+1/4-->etc.
