Answer:
15:32
Step-by-step explanation:
15:5+3+4×6
Using BODMAS rule
15:5+3+(4×6)
15:5+3+24
So add up
15:32
Since the two cannot be divided by the same number,we will have to leave the answer as
15:32
how do you combine,multiply,divide,and compose functions, and how do you find the domain of the resulting function?
The operations of the function are explained below in the solution.
Let f(x) and g(x) be given functions.
We combine those two functions using following rule
(f±g)(x) = f(x) ± g(x)
The domain of f±g is the intersection of the domain off and the domain
of g.
We multiply those two functions using the following rule:
(f·g)(x) = f(x)-g(x)
The domain of f·g is the set of all real numbers for which f and g and new
function are defined.
We divide those two functions using the following rule:
f/g (x) = f(x) / g(x)
The domain of f/g is set of all real numbers for which ƒ and g and new
function are defined.
We combine these two functions using the following rule:
(f ο g) = f(g(x))
We have that the domain of f ο g is the set of all real numbers z, in the
domain of g, such that g(x) is in the domain of f,
We have that the domain of g ο f the set of all real numbers, in the domain of f, such that f(x) is in the domain of g,
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Final answer:
In mathematics, functions can be combined, multiplied, divided, and composed, and discovering their domain is essential. Combining functions adds their outputs, multiplying them multiplies their outputs, and dividing them divides one output by another. Composing functions applies one to the result of another, with the domain determined by permissible inputs, avoiding division by zero or negative square roots.
Explanation:
When working with functions in mathematics, you can perform several operations, including combining, multiplying, dividing, and composing functions. Finding the domain of the resulting function is crucial as it determines the set of all possible inputs for the function.
Combining Functions
To combine functions (also known as function addition), you simply add the outputs of two functions. For example, if f(x) = 2x and g(x) = x + 3, the combined function is (f + g)(x) = f(x) + g(x) = 2x + (x + 3) = 3x + 3.
Multiplying and Dividing Functions
Multiplying functions involves multiplying the outputs of the functions. If f(x) = 2x and g(x) = x + 3, then[tex](f \cdot g)(x) = f(x) \cdot g(x) = 2x \cdot (x + 3)[/tex]. Dividing functions, on the other hand, involves dividing one output by the other, given that the divisor is not zero.
Composition of Functions
Composing functions refers to applying one function to the result of another function. The composition g o f means applying f first and then g. If h(x) = g(f(x)), you're taking an input x, applying the function f, and then applying g to the result of f(x).
Finding the Domain
The domain of a function is the set of all permissible inputs. To find the domain of a resulting function after performing operations, look for any restrictions such as division by zero or taking the square root of a negative number. For instance, if [tex]f(x) = \sqrt{x}[/tex], the domain is x ≥ 0, as you cannot take the square root of a negative number.
|x−12| =4
please help and show steps I have this due today!
Answer
x=-8
Step-by-step explanation:
so the right answer is 16...
Geometry, Thanks if you help!
EK=6, KF=6
By the Pythagorean theorem
[tex]6^2+6^2=EF^2\\EF=\sqrt{36+36} \\EF=\sqrt{72}[/tex]
EF≈8,48≈8
Answer: 8 units
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
A video rental store charges $4 per day to rent a movie and $3 per day to rent a video game. During one summer, Tony paid a total of $140 to rent movies and
video games from this store. If he rented twice as many video games as movies, how much did he spend on movie rentals during the summer?
Answer: The answer should be 35
Step-by-step explanation: If you take 140 divide it by 4 it should be the answer
Gina is shopping for a new bicycle. The price of the is $300 and there is an 8% sales tax. Gina wants to know the total price of the bicycle including sales tax.
Which table represents the situation?
Answer:
Sales amount = $ 300.08
Step-by-step explanation:
Sale amount = selling price + sales tax
Here selling price = $300
sales tax = 8 %
sale amount = 300 + 8%
= 300 + 8/100
=( 300 ×100 + 8 )÷100
= (30000 + 8 ) ÷ 100
= 30008 ÷ 100
=$ 300.08
Sales amount = $ 300.08
Answer:
I think D but not to sure
Which shapes have 2 obtuse angles? Choose all that are correct?
Answer:
Trapezoid
Step-by-step explanation:
Trapezoid is a type of parallelogram that consist of two obtuse angles and two acute angles
Which dot plot is most strongly skewed right?
Number of Movies Seen at the Theater This Year
A dot plot going from 0 to 5. 0 has 3 dots, 1 has 1 dot, 2 has 0 dots, 3 has 4 dots, 4 has 7 dots, 5 has 6 dots.
Number of Movies Seen at the Theater This Year
A dot plot going from 0 to 5. 0 has 6 dots, 1 has 8 dots, 2 has 5 dots, 3 has 2 dots, 4 has 0 dots, and 5 has 3 dots.
Number of Movies Seen at the Theater This Year
A dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 2 dots, 3 has 4 dots, 4 has 2 dots, 5 has 1 dot.
Number of Movies Seen at the Theater This Year
A dot plot going from 0 to 5. 0 has 2 dots, 1 has 5 dots, 2 has 5 dots, 3 has 6 dots, 4 has 4 dots, and 5 has 3 dots.
Answer:
The dot plot that is most strongly skewed right is the first example
This is because the numbers 4 and 5 are to the right of the graph, and the numbers 4 and 5 in this example are the highest compared to the others.
For example, in this first example, 4 has 7 dots and 5 has 6 dots.
In the rest of the examples, the highest numbers for 4 and 5 are 4 dots and 3 dots
I hope this helps :)
Write the equation of (5,8) and slope 7
Answer:
y - 8 = 7(x - 5)
y - 8 = 7x - 35
y = 7x - 27
Step-by-step explanation:
What is the volume of the pyramid?
A. 210 ft^3
B. 189 ft^3
C. 630 ft^3
D. 233.3.7 ft^3
Answer:
A. 210 ft
Step-by-step explanation:
Tom Johnson had a breakfast consisting of one scrambled egg, one sausage patty, and an 8 oz. glass of orange juice.
How many calories did his meal have?
Answer:342
Step-by-step explanation:100+130+112=342
Final answer:
The breakfast consisting of one scrambled egg, one sausage patty, and an 8 oz. glass of orange juice contains a total of approximately 430 Calories.
Explanation:
The question is about calculating the total calorie content of a breakfast that includes one scrambled egg, one sausage patty, and an 8 oz. glass of orange juice. To answer, we need to know the individual calorie content of each item. Typical values might be around 70 Calories for one large scrambled egg, about 250 Calories for a sausage patty, and approximately 110 Calories for an 8 oz. orange juice.
Add these values together to get the total calorie intake for the meal:
Scrambled egg: 70 CaloriesSausage patty: 250 CaloriesOrange juice (8 oz): 110 CaloriesTotal Calories = 70 + 250 + 110 = 430 Calories.
Given that the area of a trapezoid is given by the formula A = 1 2 h(b1 + b2), what is the value of A if h = 2 cm, b1 = 3, and b2 = 4?
Answer:
A = 1.75
Step-by-step explanation:
A = (a+b )/2h
A = (3 + 4) / 2 *2 =
= 7/4 = 1.75
jada earns $7 per hour mowing her neighbors' lawns. andre gets paid $5 per hour for the first hour of babysitting and $8 per hour for any additional hours he babysits. what is the number of hours they both can work so that they get paid the same amount?
jada 2 andre 3 hours
Select the correct answer.
What is the solution for x in the equation?
-11x − 30 + 6x = 0
A. x = 6
B. x = -30/17
C. x = 30/17
D. x = -6
Answer:
D
1.collect like terms (-11x and 6x) which equal -5
2. rewrite equation (-5x-30=0)
3. Move constant to the right hand side and change its sign.(-5x=30)
4. Divide both sides by -5 (30 divided by -5 equal s -6)
help me please :((: thank u
Hey there!
In order for you to find the one that is equivalent to the given expression is to COMBINE YOUR LIKE TERMS then work from there!
12q + q^2 - 8 + q = ?
(q^2) + (12q + q) + (-8)
q^2 = q^2 since it doesn't have any like term(s)
12q + q = 12q + 1q = 13q
-8 = -8 since it doesn't have any like term(s)
Put all the numbers we solved for in An equation and Thats your answer!
If you did it correctly you should have: q^2 + 13q - 8
Answer: q^2 + 13q - 8 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Mary bakes a chocolate cake, a vanilla cake, and a strawberry cake. Each cake is the same size. Angela eats four-eighths of the chocolate cake, two-eighths of the vanilla cake, and two-fourths of the strawberry cake. David eats one-fourth of the chocolate cake, three-eighths of the vanilla cake, and one-half of the strawberry cake. Who eats more cake, Angela or David? How much more cake? How much of each cake is left? Show all your mathematical thinking.
Answer:
Angela eats more cake
Angela ate 1/8 more cake
1/4 of the chocolate
3/8 of the Vanilla
no more Strawberry
Step-by-step explanation:
Angela: 4/8 + 2/8 + 4/8 = 10/8 = 1 1/4
David: 2/8 + 3/8 +4/8 = 9/8 = 1 1/8
Chocolate: 4/8 + 2/8 = 6/8, 8/8 - 6/8 = 2/8 or 1/4
Vanilla: 2/8 + 3/8 = 5/8, 8/8 - 5/8 = 3/8
Strawberry: 4/8 + 4/8 = 8/8, 8/8 - 8/8 = 0
Final answer:
Angela ate more cake than David by 0.125 of a cake after calculating fractions consumed by each. The remaining amounts of cake are 1/4 of chocolate, 3/8 of vanilla, and none of the strawberry cake is left.
Explanation:
To find out who eats more cake, Angela or David, we need to calculate the fractions of each cake they consumed. Firstly, we can simplify the fractions of the cake Angela and David ate by converting them to have the same denominator or to represent them as decimals. The total amount of each cake consumed needs to be added up individually for Angela and David.
Angela's Cake Consumption:
Chocolate Cake: 4/8 (simplified to 1/2 or 0.5)
Vanilla Cake: 2/8 (simplified to 1/4 or 0.25)
Strawberry Cake: 2/4 (simplified to 1/2 or 0.5)
Total cake eaten by Angela = 0.5 (chocolate) + 0.25 (vanilla) + 0.5 (strawberry) = 1.25
David's Cake Consumption:
Chocolate Cake: 1/4 (or 0.25)
Vanilla Cake: 3/8 (simplified to 0.375)
Strawberry Cake: 1/2 (or 0.5)
Total cake eaten by David = 0.25 (chocolate) + 0.375 (vanilla) + 0.5 (strawberry) = 1.125
Angela ate more cake than David by 0.125 of a cake.
Amount of Each Cake Left:
Chocolate Cake: 1 - (0.5 + 0.25) = 1/4 or 0.25 left
Vanilla Cake: 1 - (0.25 + 0.375) = 3/8 or 0.375 left
Strawberry Cake: 1 - (0.5 + 0.5) = 0 left
The results of a pole indicate that between 61% and 64% of us cities residence are in favor of water rationing during the drought. What is the point estimate for the percent of residents in favor of water rationing?
62.5%...? Taking division into account, the number between 61 and 64 is 62.5 (dont trust me)
A rectangle has side lengths of 6 units and 3 units. Could you make a quadrilateral that is not identical using the same four side lengths? If so, describe it.
Answer:
Yes
A parallelogram with opposite sides equal to 6 units and 3 units and each of the pair of opposite angles as equal to [tex]50^{\circ}\,,\,130^{\circ}[/tex]
Step-by-step explanation:
Given: A rectangle has side lengths of 6 units and 3 units
To check: If a quadrilateral can be made that is not identical to the given rectangle using the same four side lengths
Solution:
A parallelogram with opposite sides equal to 6 units and 3 units can be made.
Take each of the pair of opposite angles as equal to [tex]50^{\circ}\,,\,130^{\circ}[/tex]
This parallelogram is not identical to rectangle as each of the angle of the rectangle is equal to [tex]90^{\circ}[/tex] but here each of the pair of opposite angles as equal to [tex]50^{\circ}\,,\,130^{\circ}[/tex].
Yes, one can construct another quadrilateral, such as a parallelogram, using the same side lengths of 3 units and 6 units. While both a rectangle and parallelogram are quadrilaterals, a parallelogram is not identical to a rectangle as not all angles in a parallelogram are right angles.
Explanation:Yes, it is possible to make another quadrilateral with the same side lengths that are not identical to the rectangle.
One of the ways is to make a parallelogram using side lengths of 3 units and 6 units. While a rectangle is a type of parallelogram, the noticeable difference is that not all angles in a parallelogram are right angles. In a rectangle, all angles are right angles, making it a special case of a parallelogram.
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solve each inequality and graph its solution 0>3x-3-6
Answer:
3 > x
Step-by-step explanation:
0>3x-3-6
Combine like terms
0>3x-9
Add 9 to each side
0+9>3x-9+9
9 > 3x
Divide each side by 3
9/3 > 3x/3
3 > x
Givin AB CD and AD BC prove ABCD is a parallelogram
Which is a true statement about the dot plot?
Number of Rolls of a Six-Sided Number Cube to Get an Even Number
1-••••
2-••••••••
3-••••
4-••
5-•
A The Data is Skewed left.
B There is a cluster at 1,2, and 3.
C It never took more than 4 rolls to get an even number.
D Most often it took 3 rolls to get an even number.
Who ever says it's C is wrong!
Answer:
The answer is B
Step-by-step explanation:
I just took the test got a 100 on it and that is the right answer
Answer: it is b
Step-by-step explanation:
i just took the test on this and i 100 on it
please, someone, help I need the answers asap!!
Answer:
#7 : 6
#8 : 12
#9 : ?
#10 : 110
#12 : ?
There are three boys and three girls at a party. In how many ways can they be seated if they can sit down four at a time?
Answer:
6 Ways. (I could be wrong. If I am, I will come back and edit)
Step-by-step explanation:
BBBG
BBGB
BGBB
BGBG
BGGG
BGGB
The number of the ways of sitting of the three girls and three boys will be 4.
What are permutation and combination?Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.
Given that there are three boys and three girls at the party. The number of the ways will be calculated as,
N = ⁴C₃
N = (4!) / (3)!(4-1)!
N = 4
Therefore, the number of the ways of sitting of the three girls and three boys will be 4.
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A right pyramid with a square base has a base length
of x inches, and the height is two inches longer than
the length of the base. Which expression represents
the volume in terms of x?
x
(x
+ 2)
cubic inches
X(X
+ 2)
03
cubic inches
cubic inches
x+2
cubic inches
Answer:
x = 20
Step-by-step explanation:
-10x=-200
x = -200/ -10
x = 20
Answer:
A. x^2 (x+2) / 3
Step-by-step explanation:
*PLEASE ANSWER SOON*
The equation of a circle is (x+4)2+(y−5)2=121.
What is the center and radius of the circle?
(a) center: (−4, 5); radius: 11
(b) center: (4, −5); radius: 11
(c) center: (−4, 5); radius: 121
(d) center: (−4, −5); radius: 121
Answer:
The center is [tex](-4,5)[/tex] and the radius is [tex]11[/tex].
Step-by-step explanation:
The center-radius form for a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius.
Compare:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](x+4)^2+(y-5)^2=121[/tex]
[tex]-h=4[/tex] implies [tex]h=-4[/tex].
[tex]-k=-5[/tex] implies [tex]k=5[/tex]
[tex]r^2=121[/tex] implies [tex]r=\sqrt{121}=11[/tex].
The center is [tex](-4,5)[/tex] and the radius is [tex]11[/tex].
The center is (-4.5) and the radius is 11.
How to find the center and radius of the circle?The center-radius form for a circle is:
⇒ (x-h)²+(y-k)² = r²
where (h,k) is the center and r is the radius.
Compare:
(x-h)²+(y-k)²
(x+4)+(-5)² = 121
-h = 4 implies h = -4.
-k = -5 implies k = 5
r² = 121 implies r = √121= 11,
The center is (-4.5) and the radius is 11.
The center is a fixed point in the middle of the circle; usually given the general coordinates (h, k). The fixed distance from the center to any point on the circle is called the radius.
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Using Pythagorean Theorem solve , a= x+2, b= x. and c= 10.
Answer:
x = 6, x = -8
Step-by-step explanation:
Since the Pythagorean Theorem is L^2 + L^2 = H^2, all we have to do is substitute each variable and its equation for our L's.
(x + 2)^2 + (x)^2 = 100
2x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
Using quadratics, sorry, there was no other way, we get:
x = 6 or x = -8.
Check:
6 + 2 = 8^2 = 64
6^2 = 36
64 + 36 = 100 = 10.
-8 works as well.
Therefore, x = 6, x = -8 are correct.
Answer: a= -6 or 8
b=6 or -8
Step-by-step explanation:
From the result in the diagram
X=6 or -8
Remember
A=x+2
Substitute for x=6
A=6+2=8 or
A= -8+2= -6
So how answer for
A= -6 or 8
B=6 or -8
Which functions represent exponential growth?
y = f(x)
y = h(x)
y = g(x)
y = k(x)
Answer:
Y=h(x)
Y=k(h)
Because they are on positive
The functions y = h(x) and y = k(x) depict exponential growth.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
The standard form of an exponential equation is y = a(b)ˣ
where a is the initial value
b is the rate
Exponential decay is where the final value (y) is less than the initial value (a). An example would be the decrease of bacteria in a person
Exponential growth is where the final value (y) is greater than the initial value (a). An example would be the spreading of a rumor.
A graph that is flat in the beginning and instantaneously grows in the vertical direction over a period of time
therefore, y = h(x) and y = k(x) are the functions represent exponential growth.
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What do the two x's equal please help
Each angle is 40 degrees because a straight line is 180 and there is a 100 so just subtract 100 from 180 then divide 80 by 2 and you're left with 40
What is the diameter and radius of a circle with an 18 inch circumference?
Hello there, to answer your question....
The diameter and radius of a circle with an 18 inch circumference is
Diameter= 5.73 inRadius= 2.86I hope the information I have provided helps. :)
The approximate diameter of the circle is 5.73 inches, and the approximate radius is 2.86 inches.
What is the diameter and radius of a circle with an 18 inch circumference?To discover the diameter and radius of a circle with a given circumference, ready to utilize the taking after equations:
Circumference = π * Diameter
Diameter = Circumference / π
Given that the circumference of the circle is 18 inches, able to calculate the diameter as follows:
Diameter = 18 inches / π
To discover the radius, we will utilize the equation:
Radius = Diameter / 2
Let's calculate the values:
Diameter = 18 inches / π ≈ 5.73 inches
Radius = 5.73 inches / 2 ≈ 2.86 inches
Hence, the approximate diameter of the circle is 5.73 inches, and the approximate span is 2.86 inches.
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The graph of the function f(x) = (x + 2)(x − 4) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (1, negative 9), and goes through (4, 0).
Which describes all of the values for which the graph is negative and increasing?
all real values of x where x < −2
all real values of x where −2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0
Answer:
C
Step-by-step explanation:
all real values of x where 1 < x < 4
All real values of x where 1 < x < 4.
What is the Graph function?The graph of a function f is the set of all points inside the aircraft of the shape (x, f(x)). We can also define the graph of f to be the graph of the equation y = f(x). So, the graph of a character is a unique case of the graph of an equation.
How does Graph function?For graphing functions, we need to plot its asymptotes, its x and y-intercepts, holes, and some factors on it by means of building a desk of values. Then simply join the factor by not touching the asymptotes and maintaining a observation of the area and range of the characteristic.
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Solve for x in the expression for 36x + 12 = 120
Answer:
x=3
Step-by-step explanation:
First, subtract 12 on both sides
36x + 12 = 120
36x=108
Divide by 36 on both sides
x=3
Hope this helps! :)