Due to modulus there can be two answers, one with greater than equal to and one with less than equal to. So the answer is 11 and -7.
Solve the inequality |x−2|≥9
Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa.
a) |x−2|≥9 = x-2≥ 9
=> x≥ 9+2
=> x≥ 11
b) |x−2|≥9 = x-2≥ -9 (when sign the negative the greater than equal to sign changes to less than equal to sign)
= x ≤ -9+2 ≤-7
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After a translation the image of A(-6,-2) is B(-4,-4). What is the image of the point C(3,-1) after this translation?
A. (-5,1)
B.(5,-3)
C.(5,1)
D.(-5,-3)
===========================================================
Explanation:
The preimage (-6,-2) shifts to the image point (-4,-4)
Focus on the x coordinates. The jump from -6 to -4 is an increase of 2. So we have x become x+2
Now focus on the y coordinates. The jump from -2 to -4 is -2, so y becomes y-2
The translation rule we use is [tex](\text{x},\text{y})\to (\text{x}+2,\text{y}-2)[/tex] which shifts the point 2 units to the right and 2 units down.
-----------------
Let's apply this rule to the point (3,-1)
[tex](\text{x},\text{y})\to (\text{x}+2,\text{y}-2)\\\\(3,-1)\to (3+2,-1-2)\\\\(3,-1)\to \boldsymbol{(5,-3)}\\\\[/tex]
The preimage (3,-1) shifts to the image (5, -3)
What is the domain and range of f(x) = 21?
A Domain: All real numbers
Range: (21)
B
C Domain: (21)
Domain: All real numbers greater than or D
equal to 21.
Range: All real numbers
Range: All real numbers
Domain: All real numbers
Range: All real number greater than or
equal to 21
The domain is all real numbers and the range is 21 for the given function that is f(x) = 21.
According to the question, the domain can take only those values through which expression can be defined. And the range is the set of values for the given function.
Therefore, the function is: f(x) = 21
So, for this expression, the variable 'x' can take any real values from the interval of (-∞ , ∞).
And the range is 21 for the given function.
Hence the domain is (-∞ , ∞) and the range is 21.
What is domain and range in the function?
The domain of a function can be defined as the complete set of all the possible values for the dependent variables. Similarly, the range of the function can be expressed as the set of all the values which can be assumed by the expression of the function.
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Since January 2000, the population of the city of Brownville has
grown according to the mathematical model y = 720,500(1.022)x, where x is the
number of years since January 2000. If this trend continues, use this model to
predict the year during which the population of Brownville will reach 1,548,800)
The population of the Bownville city reach 1,548,800 at nearly 2015
Given, Since January 2000,
The population of the city of Brownville has grown according to the mathematical model.
Y= 720,500(1.022) x
Where, X= number of years
To find: If this continues, predict the year during which population of Brownville will reach 1,548,800
Starting population = 720,500
Growth rate = 1.022
(720500) (1.022) x = 1,548,800
1.022x = 2.1496
Taking log on both sides
log1.022x = log2.1496
x log 1.022 = log 2.1496
x=log 1.022×2.1496
x=15
Therefore, nearly it takes 15 years to reach the population 1,548,800
Hence the population of the Bownville city reach 1,548,800 at nearly 2015.
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Find the value of y if the line through the two given points is to have the indicated slope. (-4,y) and (-5,1), m= 2
Y= ?
Answer:
Y= 1/2
Step-by-step explanation:Equation of a straight line:Gradient= y2-y1/x2 -x2=m
Given that:
y2=1
y1=Y
x1=-4
x2=-5
1-y/-4-(-5) =2
1 - y/-4+5 =2
cross multiply
2(1-y) = -4+5
2-2y =1
-2y =1-2
-2y = -1
divide both sides by the coefficient of y
Y = 1/2
I need the answer which includes m∠ == and the reason
The value of m<DEC is given as 35 degrees
Angle on a Straight lineIn the given figure, to find the missing value of angle DEC, we can easily relate this to angle on a straight line.
The law states that the sum of all angles on a straight line are equal to 180 degrees.
[tex]m < CEF + m < DEC = 180^0\\145^0 + m < DEC = 180^0\\m < DEC = 180^0 - 145^0\\m < DEC = 35^0[/tex]
The value of the angle m<DEC is equal to 35 degrees.
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I will mark brainliest, answer choices are:
Quadrant I
Quadrant 2
Quadrant 3
Quadrant 4
A"(0,2)
A"(1,-2)
Answer:
ok..I think it Is C or B! not 100% sure tho..
Suppose that a company has just purchased a new computer for $2400. The company chooses to
depreciate using the straight-line method for 3 years.
(a) Write a linear function that expresses the book value of the computer as a function of its age.
V(x)
The linear function is V(x) = 800x + 2400.
Given,
The cost of computer when purchased (the initial book value), V = 2400 (x = 0)
Company chooses to depreciate for 3 years using straight line method.
The book value after 3 years = 0 (x = 3)
We have to write a linear function that expresses the book value of the computer as a function of its age V(x).
Here, the value is depreciating over 3 years.
That is 2400 in 3 years = 2400/3 = 800
That is depreciating $800 in a year.
Now we can write the equation as:
V(x) = 800x + 2400
When we consider slope-intercept form, we can check that the above given equation of a line passes through two points: (0, 2400) and (3, 0)
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BD bisects
R
А.
9x
(8x + 3)º
D
Step-by-step explanation:
9x°+(8x+3)=180°
17x°+3=180°
17x°=180°-3°
17x°=177°
x=177/17
x=10.41
What is the order from least to greatest 9/7, 0.1, 1/4, 40% help
The order from the least to the greatest is 0.1, 1/4, 40%, 9/7.
What is the order?The numbers given are in improper fraction, decimals, proper fraction and percentage.
Improper fraction is a fraction in which the numerator is greater in value than the denominator. Proper fraction is a fraction in which the numerator is less in value than the denominator. A decimal is a number that consists of integers and non-integers separated by a decimal point. Percentage is the fraction of an amount expressed as a number out of 100.
For ease, all the numbers would be converted to percentages :
9/7 x 100 = 128.57%
0.1 = 10%
1/4 x 100 = 25%
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If f(x) = x^3, write a new function, g (x), that applies the following transformations
A reflection across the x-axis
A vertical stretch by a factor of 4
A reflection across the y-axis
A horizontal compression by a factor of 1/5
Your answer must begin with " g (x)= "
The function g(x) that represents the required transformations of f(x) = x³ are;
A reflection across the x–axis;
g(x) = -(x³)A vertical stretch by a factor of 4;
g(x) = 4•f(x)A reflection across the y–axis;
g(x) = (-x)³A horizontal compression by a factor of 1/5;
g(x) = (x/5)³How can the required transformation of f(x) be obtained?The function g(x) that represents the reflection of f(x) across the x–axis is presented as follows;
g(x) = -f(x)
Therefore, we have;
f(x) = x³
Which gives;
g(x) = -(x³)The function, g(x) that represents a vertical stretch of a function f(x) by a factor of c, is presented as follows;
g(x) = c•f(x)
Where c = 4, we have;
g(x) = 4•f(x)
Therefore;
g(x) = 4•x³The function g(x) that represents a reflection across the y–axis is presented as follows;
g(x) = f(-x)
Therefore;
g(x) = (-x)³The function, g(x), that represents the horizontal compression of f(x) by a factor of c is presented as follows;
g(x) = f((1/c)•x)
Which gives;
g(x) = ((1/5)•x)³ = (x/5)³
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A city received 48.24 inches of rain during a year. What was the average for each of the twelve months of the year? inches
Answer:
4.02 inches
Step-by-step explanation:
48.24/12= monthly average
=4.02 inches
Solve. m/5=4 Responses 4/5 5/4 9 20
Answer: m=20
Step-by-step explanation:
Isolate m by multiplying 5 on both sides. m= 4*5 => m=20
Jennifer purchased a flower on Monday that was 4 2/3 inches tall. By Friday, the flower was 6 1/4 inches tall. How many inches did the flower grow between Monday and Friday?
A. 25/4
B. 11
C. 2
D. 19/12
Solve for g.
3g + 3 = 9
g=
Answer:g=2
3g+3-3=9-3
3g=6
3g/3=6/3
g=2
Step-by-step explanation:
there you go
[tex] \bf \implies g \: = 2[/tex]
Step-by-step explanation:[tex] \bf \longrightarrow3g + 3 = 9[/tex]
[tex]\bf \longrightarrow3g = 9 - 3[/tex]
[tex]\bf \longrightarrow3g = 6[/tex]
[tex]\bf \longrightarrow g = \bf\frac{ \cancel{6}}{\cancel{3}}2[/tex]
[tex]\bf \longrightarrow g = 2[/tex]
On January 1, 2021, Hoosier Company purchased $920,000 of 10% bonds at face value. The bond market value was $975,000 on December 31, 2021. Required: Prepare the appropriate journal entry on December 31, 2021, to properly value the bonds assuming the bonds are classified as: (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) Trading securities. Securities available-for-sale. Held-to-maturity securities.
The value of bonds assuming the bonds are classified as: (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) is Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]
We are required to Prepare the appropriate journal entry on December 31, 2018, to properly value the bonds assuming the bonds are classified as
1. Trading securities.
2. Securities available for sale.
3. Held-to-maturity securities
For Dec 31,2021: For valuation of the bonds are classified as Trading securities (975,000-920,000) is Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]
For Dec 31,2021: For valuation of the bonds are classified as Securities available for sale (975,000-920,000) is Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]
For Dec 31,2021: No journal entry required as this is held to maturity.
Bonds: The term "bond market" refers to all debt securities trades and issuance, and it is also used interchangeably with the terms "debt market," "fixed-income market," and "credit market." Bonds are frequently issued by governments to raise money for debt repayment and infrastructure development.
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Isn't -4(-2)=8.
It should be r = 8 + 58=66?
r = 66
the soil for house plants consists of 12 percent water.if someone wants to plants flower that need 28 percent water in the soil, how many litters of water they need to add to 5 kg of soil?
1.111 liters of water must be added to 5 kilograms of soil.
How much water we need to add in a soil sample
According to the statement, water percentage is equal to the ratio of water mass divided by the total mass of water and dust and multiplied by 100. Then, the initial and final percentages are defined below:
Initial percentage
y / 5 = 0.12 (1)
Final percentage
(y + x) / (5 + x) = 0.28 (2)
Then, we need to resolve the resulting system of linear equations:
y = 0.6 (1)
y + x = 1.4 + 0.28 · x
0.72 · x = 1.4 - y
x = 1.944 - 1.389 · y
x = 1.111
We need to add 1.111 kilograms of water. If the density of a kilogram per liter, the volume required in liters is:
V = (1.111 kg) / (1 kg / L)
V = 1.111 L
1.111 liters of water must be added to 5 kilograms of soil.
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A company employs 36 men and 9 ladies, what is the ratio of men to
ladies?
Answer: 4:1
Step-by-step explanation:
36 men: 9 ladies
36/9=
4/1 ==> 4 men: 1 lady
4:1
pleaseeeeee help meee
Answer:
A) x = m - n - p
Step-by-step explanation:
m - x = n + p
subtract m from both sides
m - x (- m) = n + p (- m)
m cancels out on the left and stays on the right
- x = n + p - m
divide by -1 because this is the constant in front of x
visualize as -1*x if it helps (anything multiplied by 1 is that number)
(- x / -1) = (n / -1) + (p/ -1) - (m/ -1)
the positives become negative and the negatives become positive
x = -n - p + m or x = m - n - p
When Akiko rides her bike to school, she travels 1 mi for every 6 min. Does this ratio mean that it takes Akiko 6 min to get to school? Explain
Answer: No
Step-by-step explanation:
Answer: no
Step-by-step explanation: because it says 1 mile for every 6 minutes not it takes Akiko 1 mile in 6 minutes to get to school
The first three terms of the geometric series are: x+5,x+1, and x.
Calculate the:
a)Value of x
b) common ration
c) limiting sum
Answer:
Step-by-step explanation:
x= -2
Estimate the product
306
×
673
by first rounding each number to the nearest hundred.
Enter your answer in the box.
Answer: Question: 306 × 673 = 205,938 Estimate: 300 × 700 = 210,000
See more below
Step-by-step explanation:
306 round to the nearest hundred is 300 because 306 ≥ 300
And 673 rounds to 700 because its to the nearest hundred. Here is the problem.
306
× 673
---------------
205,938
So, 205, 938 is underestimate to 210,000
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The estimated the product of 306×673 by first rounding each number to the nearest hundred is: the estimated product of 306 and 673 is 210000.
Given: 306 × 673 = 205,938
Estimate: 300 × 700 = 210,000
306 round to the nearest hundred is 300 because 306 ≥ 300
And 673 rounds to 700 because its to the nearest hundred.
Now, we have,
306
× 673
---------------
205,938
Now, multiply the rounded numbers:
300 * 700 = 210000
So, the estimated product of 306 and 673 is 210000.
So, We have,
205, 938 is underestimate to 210,000.
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I need help asap please. Is it yes or no
No: g(x) of not the inverse function of f(x)
Given data
f(x) = -4 ( -2x + 9 )^3 - 8
g(x) = - cube root ( -5x + 6 ) + 2
How to find the inverse function of f(x)f(x) = -4 ( -2x + 9 )^3 - 8
dividing through by - 4 gives
= ( -4 ( -2x + 9 )^3 ) / -4 - ( 8 / -4)
= ( -2x + 9 )^3 - ( -2 )
= ( -2x + 9 )^3 + 2
finding the cube root
= ( -2x + 9 )^3 + 2
= cube root ( ( -2x + 9 )^3 + 2 )
= ( -2x + 9 ) + cube root ( 2 )
( -2x + 9 ) + cube root ( 2 ) ≠ g(x) = - cube root ( -5x + 6 ) + 2
The equation solved is not equal to g (x), therefore we can say that g(x) of not the inverse function of f(x)
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the formula v = x can be used to find the volume of a cube where x repersents the lenth of each edge of the cube
what is the volume of a cube with edges of lenth x=4 feet enter the answer as a whole number or decimal the box below
Answer:
64
Step-by-step explanation:
Formula is V = x³
For x = 4 feet
V =4³ = 4 x 4 x 4 = 64 cubic feet
Graph the solution of the inequality on a number line. 3(x – 2) – (1 – x) > 2x – 7
The solution to the given inequality is x > 0. The graph of the solution to the inequality is shown below
Graphing Inequalities on a Number lineFrom the question, we are to determine the solution of the given inequality
The given inequality is
3(x – 2) – (1 – x) > 2x – 7
Solving the inequality
3(x – 2) – (1 – x) > 2x – 7
First, clear the parentheses by applying the distributive property
3x - 6 - 1 + x > 2x - 7
4x -7 > 2x - 7
Then,
4x - 2x > -7 + 7
2x > 0
x > 0/2
x > 0
Hence, the solution to the given inequality is x > 0. The graph of the solution to the inequality is shown below
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A laptop computer has a regular price of $500 and is on sale for $330. What percent of the regular price is the savings?
Answer:
i belive its 34% becouse you are saveing 170 dollars
A square classroom is 5 to the power of 2 ft wide. The classroom has an area of
Answer:625 ft
Step-by-step explanation:
Substitute the given values into the given formula and solve for the unknown variable. if necessary, round to one decimal place.
The solution for the unknown variable in I = PRT where I = 2160, P =24000 and R = 0.03 is 3
How to substitute the given values into the given formula and solve for the unknown variable?The given parameters are
I = PRT
Where
I = 2160, P =24000 and R = 0.03
Substitute I = 2160, P =24000 and R = 0.03 in the above equation I = PRT
2160 = 24000 * 0.03 * T
Evaluate the product
So, we have
2160 = 720 * T
Divide both sides by 720
T = 3
Hence, the solution for the unknown variable in I = PRT where I = 2160, P =24000 and R = 0.03 is 3
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What is the domain and range of f(x)=24
Answer: Domain:(−∞,∞),{x|x∈R} Range:{y|y=24}
Answer:
y=
24
x
Step-by-step explanation:
y
=
24
x
if im not mistaken
(5, 7), (-3,-4)
Find the slope
Answer:
[tex]\dfrac{11}{8}[/tex]
Step-by-step explanation:
Slope formula
[tex]\textsf{Slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.}[/tex]
Define the points:
[tex]\textsf{Let}\:(x_1,y_1)=(5,7)[/tex]
[tex]\textsf{Let}\:(x_2,y_2)=(-3,-4)[/tex]
Substitute the defined points into the formula:
[tex]\implies \textsf{Slope}=\dfrac{-4-7}{-3-5}=\dfrac{-11}{-8}=\dfrac{11}{8}[/tex]
Therefore, the slope of (5, 7) and (-3, -4) is 11/8.
