Which multiple choice response is true?
O Decreasing on (-*, 0); increasing on (0, *)
O Increasing on (-x, ∞)
O , Increasing on (-*, 0); decreasing on (0, *)
O Decreasing on (-∞, ∞)
Answers
True response is that the function represented by the graph is Increasing on (-∞, 0) and decreasing on (0, ∞)
A function is said to be increasing in its domains if the value of its range is increasing in that domain.
Similarly, if the function is decreasing in its domain then it's range must be decreasing with the domain.
When the value of x(domain) is increasing on the left side. The value of y(range) is increasing constantly. But when the value of x increases further after 0, then the value of y is decreasing constantly.
So we can say, the following function represented on the graph is increasing in the interval of ( -∞,0) and decreasing in (0,∞).
As per the situation described in the graph the option third which say increasing on (×,0) and decreasing on (0,×).
To know more about increasing and decreasing function, visit,
https://brainly.com/question/13157110
#SPJ9
Related Questions
Which of the following expressions could be used to find the difference between 238 B.C. and 15 B.C.?
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If we were to find the difference between the two years you have}\\\large\text{provided you would have to go back (almost like you're going}\\\large\text{back in time). You're going to take the highest year (238 B.C.)}\\\large\text{from the lowest year (15 B.C.) and you should have your equation}\\\large\text{and answer if you did what you were told.}[/tex]
[tex]\large\text{Equation: }\rm{238\ B.C. - 15\ B.C.}[/tex]
[tex]\large\text{Get your number line ready because this will make the equation easier to}\\\large\text{solve.}[/tex]
[tex]\large\text{Start at 238 and go back 15 spaces to your 15 to your left.}[/tex]
[tex]\large\text{If you did the right calculation you should be at: 223}[/tex]
[tex]\huge\text{Thus, your answer can be: \boxed{\mathsf{238\ B.C. - 15\ B.C. }}}\huge\checkmark[/tex]
[tex]\large\text{Remember: \textsf{difference} means subtraction/subtract}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The lengths of the sides of a triangle are 7.6 cm, 8.2cm , and 5.2cm . Find the measure of the largest angle.
Answers
Answer:
arccos(439/1976)
Step-by-step explanation:
The largest angle is opposite the longest side. So, by the Law of Cosines, if we let this angle be x,
[tex]x=\arccos \left(\frac{7.6^2 + 5.2^2 - 8.2^2}{2(7.6)(5.2)} \right) \\ \\ =\arccos(439/1976)[/tex]
find the constant of proportionality for the relationship plotted, on the graph.
please help, giving branliest. :))
Answers
The constant of proportionality for the relationship plotted, on the graph is 25 and the distance in 10 seconds is 250
How to find the constant of proportionality for the relationship plotted, on the graph?The graph is the given parameter
On the graph, we have the following point
(x, y) = (2, 50)
The constant of proportionality for the relationship plotted, on the graph is represented with k, and the formula is
k = y/x
This gives
k = 50/2
Evaluate
k = 25
Substitute k = 25 in k = y/x
25 = y/x
When x = 10. we have
25 = y/10
This gives
y = 250
Hence, the constant of proportionality for the relationship plotted, on the graph is 25 and the distance in 10 seconds is 250
Read more about constant of proportionality at
https://brainly.com/question/21749206
#SPJ1
Find the minimum and maximum limits for the length of a third side of a triangle if the other two sides are 8" and 13".
Answers
Answer:
Triangular inequality: Length of third side must be less than the sum of the lengths of the other 2 sides.
x < 18 + 29
x < 47
so Maximum length of third side is 46 units.
Also 29 < 18 + x
x > 11 so minimum length = 12
Difference = 46-11 = 35
Expand each logarithm. State the properties of logarithms used. log₃2/x
Answers
The provided in its extended form logarithms ( log₃2/x). = 2log3 + log x.
The Four Basic Log Properties:The fact that logs represent exponents gives rise to four fundamental properties. The first three are easy to remember: A product's log equals the total of its elements' logs. The log of a quotient is proportional to the distinction between the numerator as well as denominator logs. Power multiplied by that of the logarithmic of the base equals the log of power.
According to the given data:log₃2/x
Applying the property of log (log a/b = log a +log b)
log₃2/x
log₃2 + log x
Applying the property (logₐᵇ = a log b)
log₃2
2log3
we get substituting the.(log₃2 + log x)
2log3 + log x
The provided in its extended form logarithms ( log₃2/x). = 2log3 + log x.
To know more about extended form logarithms visit:
https://brainly.com/question/26536504
#SPJ4
HELP PLEASE QUICK BEST ANSWER GETS BRAINLIEST!!!!!
Answers
Answer:
B. x = (4/3)
Step-by-step explanation:
-x + (3/7) = 2x - (25/7)
(-x + (3/7) = 2x - (25/7)) × 7
-7x + 3 = 14x - 25
-14x -14x
-21x + 3 = -25
-3 -3
-----------------------
-21x = -28
÷-21 ÷-21
-----------------
x = (4/3)
I hope this helps!
What are the solutions for the following equations 2x^2+11x+5=0
Answers
Answer:
x=-5nakalimutan ......................
......
If f(x) = 3x + 2, what is f(5)?
Answers
Answer:
= 17
Step-by-step explanation:
If f(x)=3x+2, then replacing x=5 we get f(5)=3x5+2=15+2=17
Answer:
the answer to the equations is 17
Step-by-step explanation:
Victoria drew a diagram of her laptop that she uses at school. It is in the shape of a rectangle. The dimensions are as follows:
Length: 13x - 9 units
Width: 4.5x + 8 units
Answers
If the length of the rectangle given is larger than the width of the rectangle then the inequality which represents given situation is 13x-9 > 4.5x+8
What is an inequality?
Inequality is a kind of equation which compares two mathematical expressions instead of equating them using relations like less than, greater than, less than or equal to, greater than or equal to.
Given that Victoria drew a diagram of her laptop which is in the shape of the rectangle. The dimension are Length 13x-9 and width 4.5x+8
If the length is given greater than width, then this can be represented by inequality: length > width
i.e. 13x-9 > 4.5x+8
Learn more about the inequalities from:
https://brainly.com/question/17675534
#SPJ1
The complete question is mentioned below :
Victoria drew a diagram of her laptop that she uses at school. It is in the shape of a rectangle. The dimensions are as follows:
Length: 13x - 9 units
Width: 4.5x + 8 units
If the length is greater than the width, which inequality represents this situation?
Simplify each number. 100⁻³/₂
Answers
[tex]100^{\frac{-3}{ 2} }[/tex] can be simplified into 0.001.
Prime factorization is the process of breaking down a number into its prime factors. Multiplying these prime numbers gives back the original number.
Prime factorization of 100 = 5 x 5 x 2 x 2 = [tex]10^{2}[/tex]
According to the law of indices, if a term with a power is raised to a power, then the powers are multiplied together.
i.e.,[tex](x^{m} )^{n} = x^{mn}[/tex]
According to the given condition,
∴ [tex]100^{\frac{-3}{2} }[/tex] = [tex](10^{2})^{\frac{-3}{2} }[/tex]
Applying the law of indices mentioned above,
[tex]100^{\frac{-3}{2} }[/tex] = [tex](10^{2 X}^{\frac{-3}{2} })[/tex]
= [tex]10^{-3}[/tex] = 0.001.
Thus, [tex]100^{\frac{-3}{2} }[/tex] can be simplified into 0.001.
To learn more about laws of indices, refer to this link:
brainly.com/question/27432311
#SPJ4
Solve. Check for extraneous solutions. √3 x+1 - √x+1=2
Answers
x=0 is an extraneous solution of the equation and x = 8 is not an extraneous solution of the equation.
√(3x+1) - √(x+1) = 2
√(3x+1) = 2 + √(x+1)
Squaring both the sides of the equation
(√(3x+1))² = (2 + √(x+1))²
3x + 1 = (2)² + (√(x+1))² + 2(2) (√(x+1))
3x + 1 = 4 + x + 1 + 4(√(x+1))
3x + 1 = 5 + x + 4(√(x+1))
2x - 4 = 4(√(x+1))
Squaring again on both the side of the equation, we get
(2x - 4)² = (4(√(x+1))²
4x² + 16 - 16x = 16x + 16
4x² - 32x = 0
4x(x - 8) = 0
4x = 0 and x - 8 = 0
x = 0 and 8
Check for Extraneous Solution by keeping value of x in the original equation √(3x+1) - √(x+1) = 2
Let x=0
√(3(0)+1) - √(0+1) = 2
0 ≠ 2
LHS ≠ RHS
x = 0 is an extraneous solution of the equation
Let x=8
√(3(8)+1) - √(8+1) = 2
✓25 - ✓9 = 2
5 - 3 = 2
2 = 2
LHS = RHS
∴ x=8 is not an extraneous solution of the equation.
Know more about Extraneous solution: https://brainly.com/question/1511979
#SPJ4
The measure of each of the
congruent angles of an isosceles
triangle is 9 less than 4 times the
vertex angle. Find the measures of all
the angles in the triangle.
Answers
Answer:
22°, 79° and 79°
Step-by-step explanation:
Let x be the vertex angle and y each of the congruent angles.
The sum of all angles =180°
So x + y + y = 180
x + 2y = 180 ·········· Equation (1)
Given "The measure of each of the congruent angles of an isosceles triangle is 9 less than 4 times the vertex angle", the equation is
y = 4x - 9
Substitute for y in terms of x in equation 1
⇒ x + 2(4x - 9) = 180
⇒ x + 8x - 18 = 180
⇒ 9x - 18 = 180
⇒ 9x = 180 + 18
⇒ 9x = 198
⇒ x = 198/9 = 22
So vertex angle is 22°
Substituting for x in Equation 1:
22 + 2y = 180
2y = 180 - 22
2y = 158
y = 158/2
y = 79°
So each congruent angle is 79°
To simplify the expression, which exponent property should you apply first?
Answers
The exponent property which must be applied first to simplify the expression as given in the task content is; The power of a power property.
Which exponent property should be applied first in a bid to simplify the expression as given in the task content?It follows from the task content that the exponent property which must be applied first in a bid to simplify the expression be determined.
Since the expression given is;
(4y)³ • (2g)² • y • g
Consequently, to solve the parentheses, the power of a power property must be used first so that we have;
4³•y³ • 2²•g² • y • g
The expression can then be further simplified by using the the product of a power property on like terms so that the simplified form is therefore;
256g³y⁴.
Read more on exponent properties;
https://brainly.com/question/11975096
#SPJ1
what are the cooridnates
Answers
Remember y=Mx+b in the equation, B is your y intercept.
Which equation represents inverse variation between x and y ?
(a) x=y/z (b) x=-15 z/y (c) z=-15 y/x (d) x z=5 y
Answers
The option d ,that is , x= 5y is the equation that represents inverse variation between x and y.
What is inverse variation ?1: A mathematical connection between two variables that can be described by an equation in which the sum of their products equals a fixed value.
2: an expression of inverse variation by an equation or function; contrast with direct variation.
CALCULATIONIn an inverse variation, the inverse percentage establishes the link between two quantities or variables. The inverse relationship between two quantities, x and y, is provided by:
x ∝ 1/y
or
x = k/y
xy = k
Learn more about inverse variation at :
https://brainly.com/question/4838941
#SPJ4
HEEEEEEEEEEEEEEEEEELLLLLLLLLPPP
Answers
Answer:
Alternate Exterior Angles
Answer:
alternate interior angles
Find the amount in a continuously compounded account for the given conditions.principal: $ 2000 annual interest rate: 5.1 % time: 3 years
Answers
The amount in a continuously compounded account for the given conditions is $2330.64 .
Compound interest is interest calculated on the principal and the interest accrued in previous periods. Compound interest is interest based on principal and interest accumulated over a period of time.If we specifically state that the quantity in question is "continuously composed", we must use the continuous constitutive formula which is given by [tex]A=Pe^{rt}[/tex] ..... (1) where, P = initial amount , A = final amount , r = interest rate , t = time , e is a mathematical constant with e ≈ 2.7183.
It is given that principal is 2000 , annual interest rate is 5.1 % , time is 3 years
Putting [tex]P=\$2000 , \ r= 5.1\% , \ t=3 \ years[/tex] in equation (1) , we get
[tex]A=2000\times 2.71^{0.051 \times 3}\\A=200\times 2.71^{0.153}\\ \ A=2000\times1.1653\\A =\$2330.64[/tex]
Learn more about compound interest here :
https://brainly.com/question/24274034
#SPJ4
11. The U.S. Census Bureau has a population cloc
on the Internet. On a recent day, the United
States population was listed as 310,763,136.
Write this number in word form
Answers
The mentioned number in word form is three hundred ten, seven hundred sixty three, one hundred thirty six.
What is a number?The arithmetic value of a number is one that is used to denote quantity. As a result, a number is a mathematical concept used for counting, measuring, and labeling. As a result, mathematics is based on numbers.
Early humans used a variety of symbols to represent numbers, as evidenced by the inscriptions discovered at archaeological sites. For instance, farmers, traders, and merchants in antiquity used tally marks to indicate quantities. A standing line is drawn for each count in tally marks, and the fifth count is indicated by crossing out the first four lines. However, this was a laborious method and it was impractical to display quantities.
Learn more about numbers
https://brainly.com/question/640813
#SPJ9
Nethanel Stück receives a monthly income of $600 from a pension and some from Social Security. His wife, Lisha, also receives a monthly income from Social Security, but only 70 percent of Nethanel's amount. If their monthly income is $1,800 per month, how much is Nethanel's monthly Social Security benefit?
Answers
The Nethanel's monthly Social Security benefit is :$ 705.88
What makes the household monthly income of $1,800?
The household monthly income of $1,800 comprises the monthly income and social security of Nethanel Stuck and his wife monthly income from social security which is 70% of Nethanel's
total income=$600+x+(70%*x)
total income=$1,800
Nethanel social security=x
wife's monthly income=70%*x=0.70x
1800=600+x+0.70x
1800-600=1.70x
1200=1.70x
x=1200/1.70
x=Nethanel's monthly Social Security benefit=$ 705.88
Find out more about pension and social security benefit on:https://brainly.com/question/13616910
#SPJ1
Which of the statements below are correct?
select all correct statements.
2.8mm = 28cm , 1760 ml < 10 litres, 18g > 0.17 , 1.68 = 168cm
Answers
Answer:
False
True
missing info
missing info
Step-by-step explanation:
2.8mm = 28cm False since 28 cm = 280 mm
1760 ml < 10 litres True since 1760 ml = 1.76 l
18g > 0.17 missing units
1.68 = 168cm missing units
cuanto es 0,006720 dividido entre 0,007500
Answers
Answer:
0,896
Step-by-step explanation:
What is the slope of the line represented by the equation 12(r-6)=4(y+3)?
Answers
the slope is 3 for the equation
Answer:
the slope is 3 for the equation
Step-by-step explanation:
Nicole and Daniel are splitting a pizza. Nicole eats 1/4 of the pizza and Daniel eats 2/3 of it. How much pizza is left? Write an equation to represent this situation.
Answers
The number of pizza left is 1/12
How to calculate the number of pizza left ?
Nicole and Daniel are splitting a pizza
Nicole gets 1/4 of the pizza
Daniel gets 2/3 of the pizza
let 1 represent the total amount of pizza
1- (1/4 + 2/3)
1- 11/12
= 1/12
Hence 1/12 of the pizza is left from the total amount of pizza
Read more on amount here
https://brainly.com/question/1896727
#SPJ1
Write each expression as a single logarithm.
log₂9-log₂3
Answers
If the expression is log₂9-log₂3, then it will look like [tex]log_{2}3[/tex] in single logarithm.
Given that the expression is log₂9-log₂3.
We have to give the single logarithm for the given expression.
The quotient rule for logarithms tells us that the logarithm of a quotient is equal to a difference of logarithms. Just as with the product rule we also can use the inverse property to derive the quotient rule. The quotient property basically says that log (m/n)=log m-log n.
The expression is log₂9-log₂3.
log₂9-log₂3=[tex]log_{2}[/tex](9/3)
We can write it as [tex]log_{2}3[/tex].
Hence if the expression is log₂9-log₂3, then it will look like [tex]log_{2}3[/tex] in single logarithm.
Learn more about quotient property of logarithm at https://brainly.com/question/16472387
#SPJ4
I’ll give brainlist
You are saving for a new iPhone, You work three different jobs to earn money, You walk dogs 3 times as much as you babysit. You babysit 2 times as much as you mow lawns. You work a total of 54 hours in month,
a.) How many hours do you mow lawns?
b.) How many hours do you babysit?
c.) How many hours do you walk dogs?
Answers
Answer:
a) 6 hours
b) 12 hours
c) 36 hours
Step-by-step explanation:
let hours taken to mow lawns = x
baby sit hours = 2x
walk dogs hours = 3(2x) = 6x
x+2x+6x = 54
thus, x = 6
Solve each equation. Check your answers.
ln (4 x-1)=36
Answers
After solving the equation the value of x in (4x - 1) = 36 is 37/4
We have been asked to find x in (4x - 1) = 36
⇒ (4x - 1) = 36
⇒ 4x = 36 + 1
⇒ 4x = 37
⇒ x = 37/4
So, x is equal to 37/4
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
Learn more about linear equations
https://brainly.com/question/14323743
#SPJ4
Use the symbols A, B, U, n, and, as
necessary, to describe the shaded region.
Choose the correct set below.
OA. (ANB) U (ANB)
OB. (ANB)
OC. (AUB)
D. AUB
Answers
The required expression that describes the shaded region is (A'∩B) ∪ (A ∩ B'). Option A is correct.
GIven that,
For the given Venn diagram which expression represents the shaded area
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The total area of A and B
= AUB
Area of unshaded area,
= (A'∩B) ∪ (A ∩ B')
Thus, the required expression that describes the shaded region is (A'∩B) ∪ (A ∩ B'). Option A is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
Ahmad tutors math. For each hour that he tutors, he earns 30 dollars. His earnings, E (in dollars), after tutoring for h hours is given by the following.
E=30h
How much does Ahmad earn if he tutors for 5 hours?
Answers
Explanation : multiply 5 & 30 .
The initial value of a car is $ 25,000 . After one year, the value of the car is $ 21,250 . Write an exponential function to model the expected value of the car. Estimate the value of the car after 5 years.
Answers
The exponential function for the value of car is V = 25,000 × e^( r × T) and the value of the car after 5 years is $ 1109.26.
The original value of a car is $25,000.
The value of the car after one year is $21,250.
Let V be the value of the car after T years.
Let the rate at which the value of the car increase be r.
From, [tex]\[ A = Pe^{r \times T} \][/tex]
Then,
[tex]\[ V = 25,000 \times e^{ r \times T } \][/tex]
The value of the car after one year is $21,250.
[tex]\[ 21,250 = 25000 \times e^{ r \times T } \][/tex]
Divide both sides by 25000
[tex]\frac{21250}{25000} = e^{1 \times r }[/tex]
Now, taking the log of both sides
[tex]\[ \ln (21250/25000) =\ln e^{1 \times r} \][/tex]
By the property of logarithm,
[tex]\ln e^{(1 \times r)} = r[/tex]
Therefore,
㏑(21250/25000) = r
Now, the value of the car after 5 years will be:
[tex]\[ V = 25,000 \times e^{ r \times T} \]\\\\[/tex]
[tex]\[ V = 25000 \times e^{ \ln (\frac{21250}{25000} ) \times 5 } \][/tex]
V = 25000 × 0.4437053125
V = $ 1109.26
Learn more about exponential function here:
https://brainly.com/question/2456547
#SPJ4
Suppose z varies directly with x and inversely with y . If z is 1.5 when x is 9 and y is 4 , what is z when x is 6 and y is 0.5 ?
Answers
The required value of z using given conditions and functions is 7.92.
What is a function?
A function is defined as an expression or rule that specifies the relationship between two variables or objects, out of which one is dependent and the other is an independent variable. The image of each and every element is unique.
Calculation for the value of z
Given value of z = 1.5, x = 9, y = 4
Consider z as a function varying directly with x and inversely with y i.e.
z = kx / y —-- 1
Putting the values of x, y, z, we get,
1.5 = k × 9 / 4
6 = 9 × k
k = 6 / 9
k = 2 / 3 = 0.66
Now, calculating z for x = 6, k = 0.66 and y = 0.5, using function,
z = (0.66 × 6) / 0.5
= 3.96 / 0.5
= 7.92
Hence, the required value of z = 7.92.
To learn more about the functions, visit here:
https://brainly.com/question/22340031
#SPJ4