The simple way to solve such an expression; −(−8q−8.7) as given in the task content is by the distributive property which yields; 8q + 8.7.
What is the simplified form of the expression as given in the task content?It follows from the task content that the expression which is to be simplified, or perhaps written in a different form is; −(−8q−8.7).
Therefore, it follows from the distributive property that we have;
-(-8q) -(-8.7)
Also, since the product of two negative signs yields a positive sign.
Hence, we have; 8q + 8.7 as the equivalent of the expression given.
Ultimately, the simple way to solve such an expression; −(−8q−8.7) as given in the task content is by the distributive property which yields; 8q + 8.7.
Read more on product of signs;
https://brainly.com/question/2837132
#SPJ1
Let f(x)=x+5 and g(x)=x²-25 . What is the domain of f/g(x) ?
(A) All real numbers (B) All real numbers except 5 (C) All real numbers except -5 (D) All real numbers except -5 and 5
A composite function exists as a function that depends on another function. The value for f/g(10) is 1/5
What is meant by composition function?In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.
Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.
Let the two functions be f(x) = x+5 and g(x) = x²-25
A function exists described as a relationship between one variable and another variable.
(f/g)(x) = f(x)/g(x) = (x+5) / (x²-25)
The domain of a function exists the set of all possible inputs for the function.
When the denominator is zero, the function remains undefined.
Hence, x cannot take the values 5 and -5.
The function (f/g)(x) is defined for all values of x except x = 5, -5.
Hence, the domain is all integers except x = 5, -5
⇒ (f/g)(10) = (10 + 5) / (100 - 25)
simplifying the above equation, we get
⇒ (f/g)(10) = (15) / (75)
⇒ (f/g)(10) = 1/5
Therefore, the value of (f/g)(10) is 1/5.
To learn more about composition function refer to:
brainly.com/question/10687170
#SPJ4
Interest Suppose you deposit $ 2000 in a savings account that pays interest at an annual rate of 4 % . If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 3 years?
There will be $ 2249.728 in the account after 3 years .
Simple Interest : Each year interest is calculated on the principal amount ( the amount that was deposited initially ) .
Simple Interest = ( P * R * T ) / 100
P ( principal amount ) = 2000
R ( Rate of Interest ) = 4
T ( No . of years for which amount is deposited ) = 3
Substituting values
Simple Interest = ( 2000 * 4 * 1 ) / 100
= 80
Amount in account after 1 yr = 2000 + 80
= $ 2080
In second year amount will be = 2080 + [ ( 2080 * 4 * 1 ) / 100 ]
= 2080 + 83.2
= $ 2163.2
After three yrs . amount in account = 2163.2 + [ ( 2163.2 * 4 * 1 ) / 100 ]
= 2163.2 + 86.528
= $ 2249.728
Hence , there will be $ 2249.728 in the account after 3 yrs .
To learn more on simple interest follow link :
https://brainly.com/question/25793394
#SPJ4
nfs anyone ig lah.cj2x ??????????????????????????????????
Answer:
huh?
Step-by-step explanation:
Reasoning. If you multiply two decimals that are less than 1, can you predict wherer the product will be less than or greater than either of the factors? Explain.
The product is smaller than the factors of the product.
What can we predict about the product?Let's say that we have two real positive numbers A and B.
If we define 0 < A < 1
Then when we multiply A and B (a real positive number) we will have that:
A*B < B
So the value of B is decreased.
Now, if both numbers are in that range:
0 < A < 1
0 < B < 1
We will have that:
A*B < B
A*B < A
So the product is smaller than A and smaller than B, which are the factors of the product.
So the product is less than both of the factors.
If you want to learn more about products:
https://brainly.com/question/10873737
#SPJ1
A function f is bounded above if there is some number B that f(x) can never exceed. The exponential function base e shown here is not bounded above. Is the logarithmic function base e bounded above? If so, find a bounding number. If not, explain why.
According to the question, the function f(x) is bounded with constant number. And the exponential function base e is not bounded. Similarly, logarithmic function base e is also not bounded.
Bounded values can be calculated with the help of asymptotes namely, vertical, horizontal and oblique. The vertical, horizontal and oblique asymptotes are constant values which grows the values of the function f(x) without bound.
A basic logarithmic function is a function with no horizontal shift as well as no vertical shift. All logarithmic function passes through a constant points and touches the horizontal axis which results into asymptotes. It either increases from left to right, or decreases from left to right.
To learn more about the logarithmic function from the given link:
https://brainly.com/question/25638609
#SPJ4
Simplify each radical expression. Use absolute value symbols when needed. ∛64 x⁶
The correct answer of the given expression is 4x².
A formula is a statement containing at least two numbers/variables and at least one mathematical operation. An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division. The terms that appear in the formula are:Constant: A constant is a fixed number.Variables: Variables are symbols that do not have fixed values.Term: A term can be a single constant, a single variable, or a combination of variables and constants combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.It is given that ∛64 x⁶
On simplifying , we get
= ∛4³(x²)³
= 4x²
Learn more about expression here :
https://brainly.com/question/15272410
#SPJ4
Use the distributive property to remove the parentheses. 7(2-x)
Name the property of real numbers illustrated by the equation. 2. 3(3. 4. 12. 9)=(2. 3. 3. 4)(12. 9)
The property of real numbers illustrated by the given equation is associative property of multiplication.
Associative property states that the number in an equation can be grouped together in any way without the total value of the result changing. There are two types of associative property.
1. Associative property of addition which is given by:
(a+b)+c=a+(b+c)
2. Associative property of multiplication which is given by:
(ab)c=a(bc)
Associative property of multiplication states that the way factors are grouped in a multiplication equation does not change its product.
As the given equation 2. 3(3. 4. 12. 9)=(2. 3. 3. 4)(12. 9) contain multiplication operation, the property of real numbers illustrated is associative property of multiplication.
Learn more about Associative property:
https://brainly.com/question/549862
#SPJ4
The equation the quantity 2x minus 10 divided by 4 = 3x models temperature change, where x represents the difference in degrees in the last 24 hours. solve for x. x = −10 x = −1 x = 2 x = 11
The value of x is -1. Option B
How to determine the valueFrom the information given, we have the equation as;
2x - 10/ 4 = 3x
Where;
the equation models temperature changex represents the difference in degreesLet's simplify the equation
cross multiply
2x - 10 = 3x × 4
2x - 10 = 12x
collect like terms
2x - 12x = 10
-10x = 10
Divide both sides by the coefficient of x
x = 10/ -10
x = -1
Thus, the value of x is -1. Option B
Learn more about linear equations here:
https://brainly.com/question/4074386
#SPJ1
For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.The formula for converting from Celsius to Fahrenheit temperatures is F=9/5 C+32 .
b. Use the inverse to find the Celsius temperature that corresponds to 25⁰F .
The formula for converting from Celsius to Fahrenheit temperatures is F = 9/5 C + 32 then the inverse function is one-to-one.
What is the inverse formula?The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.
The formula for converting from Celsius to Fahrenheit temperatures is
F = 9/5 C + 32.
Let the Fahrenheit temperatures is F = 9/5 C + 32
Subtract 32 from both sides:
F - 32 = 9/5 C + 32 - 32
F − 32 = 9/5 C
Multiply both sides by 5:
5(F − 32) = 9C
Divide both sides by 9:
5/9 (F − 32) = C or C = 5/9 (F − 32)
For 27° F
⇒ C = 5/9 (27 - 32)
⇒ C = 5/9 (-5)
⇒ C = -25/9
⇒ -2.78 C° 2.dp.
Yes, the inverse is a one-to-one function.
To learn more about inverse formula refer to:
brainly.com/question/10219387
#SPJ4
The coordinates of three of the vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth vertex? What are coordinates of the fourth vertex?
The fourth coordinate for the given parallelogram are going to be (5, 7).
According to the statement
We have to find that the coordinate of the parallelogram.
So, For this purpose, we know that the
A parallelogram is a quadrilateral with opposite sides parallel
From the given information:
The coordinates of three of the vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1).
Then
Now,
The slope of AB = Slope of CD
(y - 5)/(x - 11) = (1 - 3)/(8 - 2)
6(y - 5) = -2(x - 11)
⇒ 6y + 2x = 52 are going to be the primary equation.
Now,
The slope of BC = Slope of AD
[(y - 3)/(x - 2)] = [(5 - 1)/(11 - 8)]
[(y - 3)/(x - 2)] = 4/3
3(y - 3) = 4(x - 2)
⇒ 3y - 4x = 1 are the second equation.
Now, By substitution
x = 5 and y = 7
Hence, The fourth coordinate for the given parallelogram are going to be (5, 7).
Learn more about parallelogram here
https://brainly.com/question/1509864
#SPJ9
3/9 a rational number
Answer:
1 : 3 and/or 3 : 9.Step-by-step explanation:
3/9 can be a rational number.
Let me show you:
3/9= 1 : 3= 3 : 9The Answer and/or 1 : 3 or 3 : 9.
4. Find the equation of a line that goes through the points (8, -9) and (-4, 15).
Answer:
Find the equation of a line that goes through the points (8, -9) and (-4, 15). ... with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15).
Step-by-step explanation:
source: gogle
Find the equation of a line that goes through the points (8https://brainly.com › Mathematics › Middle School ©
March 21, 2020 — Find the equation of a line that goes through the points (8, -9) and (-4, 15). ... with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15).
I Doublecheck it
Simplify each rational expression. State any restrictions on the variables.
49-z² / z+7
According to the question, the given rational expression can be simplified and as shown below:
Rational expression = [tex]\frac{49-z^{2} }{z+7}[/tex]
To simplify the given rational expression, calculate the factors of the numerator as well as denominator. And later divide it from each other. These expressions are also called as polynomial expressions.
Rational expression = [tex]\frac{(7-z)(7+z)}{z+7} =\frac{(7-z)}{1} =7-z[/tex]
Therefore, final expression of the given equation is [tex]7-z.[/tex]
What is polynomial expression?
Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.
To learn more about the polynomial expression from the given link:
https://brainly.com/question/1280754
#SPJ4
A salt-water tank needs to contain 5 gallons of water for each 1-inch fish. If Ian has a 30-gallon tank, predict how many inch-long fish he can have.
inch-long fish
Help how do I do this ???
Answer:
A.) 2(-2) -y=10
-4-y= 10
+4 +4
-y=14
/-1 /-1
y= -14
B.) 2(0)-y=10
-y=10
/-1 /-1
y=-10
C.) 2(2)-y=10
4-y=10
-4 -4
-y = 6
/-1 /-1
y=-6
select the correct answer. the distance versus time plot for a particular object shows a quadratic relationship. which column of distance data is possible for this situation?
column A is the correct answer.
The distance versus time plot for a particular object shows a quadratic relationship. Which column of distance data is possible for this situation? Time (s) A. Distance (m) B. Distance (m) C. Distance (m) D. Distance (m) E. Distance (m) 0 0 2.00 9.00 ‡ ‡ 1 1.00 4.00 18.00 1.00 1.00 2 4.00 6.00 27.00 0.50 0.25 3 9.00 8.00 36.00 0.33 0.11 4 16.00 10.00 45.00 0.25 0.06 5 25.00 12.00 54.00 0.20 0.04 6 36.00 14.00 63.00
A quadratic relation means one variable is proportional to the square of the other variable.
for this problem, distance and time will be proportional to the following equation
d = kt² or t = kd²
where k is a (constant).
when y look at column A closely. The numbers are all perfect squares: 1, 4, 9, 16...
This means d = kt² with k=1:
at t = 0, d = 1 x 0² = 0
at t = 1, d = 1 x 1² = 1
at t = 2, d = 1 x 2² = 4
at t = 3, d = 1 x 3² = 9
For more information on quadratic relationships click on the link below:
https://brainly.com/question/1214333
#SPJ4
Amir has 3 jars of sweets jar a contains 205 sweets jar c contains 175 sweets jar a has the most sweets and jar c has the least number of sweets how many sweets could be in jar b expain how you know this
Answer:
Step-by-step explanation:
well jar b's amount of sweets must be between 205 and 175
I need help with a geometry triangle problem, the question is, find the value of x
Answer:
17
Step-by-step explanation:
We can tell this is a right angle (90 degrees) by the square drawn in the angle.
So this becomes a two-step equation.
4x+22=90
4x+22-22=90-22
4x=68
4x/4=68/4
x=17
4(5x+1)-3x
i need help solving this
Answer:
17x + 4
Step-by-step explanation:
Distribute: 4(5x + 1) - 3x
20x + 4 - 3x
Combine like terms: 20x + 4 - 3x --> 17x + 4
Hope this helps! :')
Elena elaboró un prisma de plástilina cuya base mide 4cm de largo por 2 cm de ancho, y su altura es de 8cm cual es el volumen del prisma que construyó? Porfis me urge
Answer:
elena
Step-by-step explanation:
Answer:
Step-by-step explanation:
For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.
f(x)= √x+7
The domain of the function {x ∈ R, x ≥ −7}
The inverse function would be [tex]f^{-1}(x)[/tex] = x² - 7
Range of the function be {y ∈R, y ≥ −7}
What is an inverse function's domain and range?The domain of a relation's inverse is the same as the range of the original relation.
In other words, the y-values of the relation are the inverse's x-values.
Domain of f(x) = {x ∈ R, x ≥ −7} and Range = {y ∈ R, y ≥ 0}
Domain of [tex]f^{-1}[/tex](x)= {x ∈ R}, Range = {y ∈ R, y ≥ −7}
The domain of the function would be all x, such that x+7 ≥ 0, or x ≥ −7. Hence it is {x∈ R, x ≥ −7}.
Consider the range of the function y = √x + 7.
Since √x+7 ≥ 0, it is obvious that y ≥ 0.
Range would be {y ∈ R, y ≥ 0}
The inverse function would be [tex]f^{-1}(x)[/tex] = x² - 7
The domain of the inverse function is all real x, {x ∈ R}
For the range of the inverse function solve y = x²-7 for x.
It would be x = √y+7.
⇒ y + 7 ≥ 0.
Hence, the range of the function be {y ∈R, y ≥ −7}
To learn more about Inverse function refer to
https://brainly.com/question/3831584
#SPJ4
translate the equation into a sentence: 3/5 t + 2 = t
Answer:
6t
Step-by-step explanation:
Moshde runs a hairstyling business from her house. She charges $42 for a haircut and style. Her monthly expenses are $1040. She wants to be able to put at least $1,278 per month into her savings account order to open her own salon. How many "cut & styles" must she do to save at least $1,278 per month?
Moshde needs to carry out 55 cuts and style to save at least $1,278 per month
How to calculate the number of cuts required ?Moshde charges $42 per haircut and style
Her monthly expenses is $1040
She wants to save $1278
The number of cuts and styles required is
1040 + 1278 /42
= 2318/42
= 55.2
Hence Moshde need to make 55 cuts and style to save at least $1278 per month
Read more on expenses here
https://brainly.com/question/21286932
#SPJ1
Simplify m^9m^−3??? thanks need this answer asapppp
Answer:
[tex]\sf \bf m^6[/tex]
Step-by-step explanation:
Exponent law:In exponent multiplication, if bases are same, add the powers.
[tex]\sf \boxed{\bf a^m*a^n =a^{m+n}}[/tex]
[tex]\sf m^9 * m^{-3}=m^{9 +(-3)}[/tex]
[tex]\sf = m^{6}[/tex]
A square has an area of 90 square inches. Which two consecutive integers does a side length of the square fall between?
The two consecutive integers in which the side length of the square fall between is 9 and 10
The formula for the area of a square is given as follows:
A = (s)²
where A = area of square
s = length of side of a square
According to the question we have been given that
the area of square = 90 inch²
Now putting the required values in the formula of area we get
(s)² = 90
Taking square root both sides we get
s = √90
As 90 is not a perfect square but it lies between two perfect squares which are 81 and 100.
As √81 = 9 and √100 = 10
Now, √81 ≤ √90 ≤ √100
⇒ 9 ≤ √90 ≤ 10
Hence two consecutive integers such that the side length of the square fall between is 9 and 10
Learn more about area of square here : https://brainly.com/question/13389992
#SPJ9
Please help again i'm stuck
Answer:
im jk wdf is this goodluck
A basketball team has won 0.625 of its games. If the team has played 24 games, how many games has the team won?
Answer:
It has won 15 games.
Step-by-step explanation:
24*.625=15
Matthew has a points card for a movie theater. He receives 50 rewards points just for signing up. He earns 8.5 points for each visit to the movie theater. He needs at least 185 points for a free movie ticket
Which inequality can be used to determine v, the minimum number of visits Matthew needs to earn his first free movie ticket?
The inequality that can be used to determine v, the minimum number of visits Matthew needs to earn his first free movie ticket is 50 + 8.5v >= 185.
How to illustrate the information?From the information, Matthew has a points card for a movie theater, he receives 50 rewards points just for signing up and earns 8.5 points for each visit to the movie theater.
Since he needs at least 185 points for a free movie ticket, the inequality will be:
50 + 8.5v >= 185
where v = the minimum number of visits Matthew needs to earn his first free movie ticket.
Learn more about inequalities on:
brainly.com/question/11613554
#SPJ1
Write each logarithmic expression as a single logarithm.
log₂ 15- log₂5
According to the question, write the single logarithm of the given logarithmic expression and the expression is as follows:
Expression: [tex]log_{2}15 -log_{2}5[/tex]
Using logarithmic formula that is it divide when subtraction is there: [tex]log(a)-log(b)=log(\frac{a}{b} )[/tex].
Now, the expression can be re-written as:
Expression: [tex]log_{2}15 -log_{2}5=log_{2}(\frac{15}{5} )=log_{2}(3)[/tex]
The solution for the given expression is: [tex]log_{2}(3)[/tex].
What is logarithmic function?
In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.
To learn more about the logarithmic function from the given link:
brainly.com/question/1695836
#SPJ4