Step-by-step explanation:
Step 1: Simplify
[tex]4+9x^2/3 - 1[/tex]
[tex]=4+3x^2+-1[/tex]
Step 2: Combine Like Terms:
[tex]= 4+3x^2+1-1[/tex]
[tex]= (3x^2)+(4+-1)[/tex]
Answer: [tex]= 3x^2+3[/tex]
Explanation in words (Short Form)
- The first step is to use the formula and simplify it. So first we will Rewrite the division as a fraction.
- The second step is to Cancel the common factor of 9 and 3. Then Factor 3 out of 3. After that Cancel the common factor.
- The third step is to divide [tex]3x^2[/tex] by 1. Then at the end, subtract 1 from 4. The answer will result as [tex]3x^2+3[/tex]
Answer:
[tex]=3x^2+3[/tex]
Hope this helps.
Please help me. I need to know the answer.
Step-by-step explanation:
Given =
AC = 6cm
BC = 9cm (hyp)
AB =
By pyth
A^2 = B^2 + C^2
9 = 6 + AB
AB = 9-6 = 3
AB =3
Hope this helps
Find the height of a trapezium below with are 90cm and parallel sides 6 and 19.
Answer:
7.2 cm
Step-by-step explanation:
The height of the trapezium can be found by making use of the area formula with known values filled in.
__
solve for heightThe area of a trapezium is given by ...
A = 1/2(b1 +b2)h . . . . b1, b2 are the parallel sides, h is the height
Using the given values, we have ...
90 cm² = 1/2(6 cm +19 cm)h . . . . . . use the known values
(90 cm²)/(12.5 cm) = h = 7.2 cm . . . . divide by the coefficient of h
The height of the trapezium is 7.2 cm.
evalute the expression (64)1\2
Answer:
32
Step-by-step explanation:
64×1÷2
64is divided by 2 =32
and 32×1=32
A polynomial function h(x) with integer coefficients has a leading coefficient of 20 and a constant term of 1. According to the Rational Root Theorem, which of the following are possible roots of h(x) ?
what is the transformation
(x,y) (x+5,y -3)
(x -5, y+3)
(x+3 y-5 )
x-3,y +5
The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Niagara falls if they are higher than 41 meters above the ground. What are the time intervals when the rider can see Niagara Falls if they complete 3 complete revolutions, if the rider gets on at a height of 0.5 m at t=0 min?
The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
How to interpret Cycle Graphs?
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
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A bag contains 2 red, 5 blue, and 3 green marbles. A marble is chosen at random. What is the probability of NOT choosing a red marble
Step-by-step explanation:
Number of red = 2Number of blue = 5Number of green = 3total number of marbles = 10probability of not choosing a red marble = 1--choosing a red marble.Because probability is always one(1).
Probability =
[tex]1 - \frac{2}{10} [/tex]
[tex] \frac{8}{10} [/tex]
[tex] \frac{4}{5} [/tex]
Is the probability of not choosing a red marble.
What are the domain and range of g(x)= √x-3?
A. D: [3, ∞) and R: [0, ∞)
B. D: [–3, ∞) and R: [0, ∞)
C. D: (–3, ∞) and R: (–∞, 0)
D. D: (3, ∞) and R: (–∞, 0)
Answer:
I guess, A is the wanted answer, but
A and D together are the really correct answer.
Step-by-step explanation:
if I understand this correctly, then
g(x) = sqrt(x - 3)
the domain of a function is the definition of all valid x (input) values.
the range of a function is the definition of all valid y (result) values.
well, the content (the arguments) of a square root cannot be negative (at least not while dealing with real numbers).
so, the answer options B and D are automatically out, because the domain contains values that would make the arguments of the square root negative.
I guess your teacher wants to focus only on the positive results of the square root, so A is the correct number.
BUT formally, without designated restrictions, a square root has always 2 solutions : a positive and a negative one.
because (-x)² = (x)² = x².
so, I would have to say that the really correct answer is
A + D, because the range contains both, the positive and the negative numbers.
Which equation is correct?
O a
52 x 7 = 50+ 2 × 7
Ob
b
52 x 7 = 50 x 7+2
Oc
52 x 7 = 50 x 7+2x7
Od
52 x 7 = 500 ×7+2×7
Answer:
52 x 7= 50 x 7 + 2 x 7
Step-by-step explanation:
One Solution
No Solutions
Infinitely Many Solutions
2+y=3
−2x − y = −6
Answer:
it is -6. . . . . . . . . . . . . . . . .. ... . . . . . . .
Please help we’re stuck
Answer:
Divide 12 by -6
what is a variable in mathematics?
Answer:
variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).
Answer:
variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).
Step-by-step explanation:
In Maths, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.
what is the mean of 7,5,6,5,4,4,8,6,6,7,4,5,56,6
Answer:
5.6
Step-by-step explanation:
If you add all the numbers together then divide it by 15 you would get 5.6
what are the solution of the quadratic equation (x-8)3-13x(x-8)+3=0? use u substitution to solve.
[tex]3(x - 8) - 13x(x - 8) + 3 = 0 \\ 3x - 24 - 13 {x}^{2} + 104x + 3 = 0 \\ - 13 {x}^{2} + 107x - 21 = 0 \\ x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a } \\ a = - 13 \\ b = 107 \\ c = - 21 \\ x = \frac{ - 107 + - \sqrt{ {107}^{2} - 4(13)( - 21)} }{2( - 13)} \\ x1 = \frac{107 - \sqrt{10357} }{26} \\ x2 = \frac{107 + \sqrt{10357} }{26} [/tex]
Hope it helps
Please give brainliest
I need some help please
Answer:
HexagonHeptagonStep-by-step explanation:
The first shape has 6 sides. Hence, it is called a hexagon.
The second shape has 7 sides. Hence, it is called a heptagon.
The mathematical name for the given 2 polygons.
Solution:The first polygon has 6 sides with an angle sum of 720°, which means the mathematical name given for this polygon is,
[tex]\large\boxed {Hexagon}[/tex]
The second polygon has 7 sides with an angle sum of 900°, which means the mathematical name given for this polygon is,
[tex]\large\boxed {Heptagon}[/tex]
Hence, the first polygon is a hexagon and the second polygon is a heptagon.
Find the value of x.
33°
107°
x
Answer:
140
Step-by-step explanation:
Angles in a triangle add up 180 :
180 = 107 + 33 + y
y = 180 - (107+33)
y = 180 - 140
y = 40
Angles on a straight line add up to 180 so :
180 = x + y
180 = x + 40
x= 180 - 40
x = 140
Hope this helped and have a good day
Answer:
x = 140°
Step-by-step explanation:
Concepts
The Exterior Angle Theorem states that the two remote angles in a triangle is equal to the exterior angle.
Application
In this case, the two remotes angles are 107 and 33°, and the exterior angle is x. Now, all we have to do is just add 107 and 33 to get our answer.
Solution
107 + 33140°The length of ribbon A is 56 feet and the length of ribbon B is 59 feet.
The exact length of ribbon C is 34 feet longer than the estimated difference in lengths of ribbon A and B.
What is the length of ribbon C?
Note - Use 0,12 or 1 as benchmarks.
The length of ribbon C is 37 feet.
What is the length of ribbon C?The equation that can be used to determine the length of ribbon C is:
C = 34 + ( length of ribbon B - length of ribbon A)
C = 34 + (59 - 56)
C = 34 + 3
c = 37 feet
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Can someone help me with. This please
Answer:
wouldn't be 4.5 or something close too that maybe 5 or 5.5
Step-by-step explanation:
I got you I think
Multiply:
(x+y)by (x+y)
a+b by a^2-b^2
(a+5) by (a^2-2a-3)
(a^2-ab+b^3) by (a+b)
Answer:
Multiply:
[tex](x+y)by (x+y)[/tex]
[tex] : \implies(x + y)(x + y)[/tex]
[tex] : \implies \: x(x + y) + y(x + y)[/tex]
[tex] : \implies {x}^{2} + xy + xy + {y}^{2} [/tex]
[tex] : \implies{x}^{2} + 2xy + {y}^{2} [/tex]
Multiply:
[tex]a+b \: by \: a^2-b^2[/tex]
[tex]: \implies( {a}^{2} + {b}^{2} ) \times (a + b)[/tex]
[tex]: \implies \: {a}^{2} (a + b) - {b}^{2} (a + b)[/tex]
[tex]: \implies \: {a}^{3} + {a}^{2} b - {ab}^{2} - {b}^{3} [/tex]
Multiply:
[tex](a+5) by (a^2-2a-3)[/tex]
[tex]: \implies{(a + 5) \times ( {a}^{2} - 2a - 3) }[/tex]
[tex]: \implies \: a({a}^{2} - 2a - 3) + 5( {a}^{2} - 2a - 3)[/tex]
[tex]: \implies(a \times {a}^{2} - a \times 2a - a \times 3) + (5 \times {a}^{2} - 5 \times 2a - 5 \times 3)[/tex]
[tex]: \implies{a}^{3} - {2a}^{2} - 3a + 5 {a}^{2} - 10a - 15 [/tex]
[tex]: \implies{ {a}^{3} + {3a}^{2} - 13a - 15}[/tex]
Multiply:
[tex](a^2-ab+b^3) by (a+b)[/tex]
[tex]: \implies{(a + b) \times ( {a}^{2} - ab + {b}^{3} )}[/tex]
[tex]: \implies \: a( {a}^{2} - ab + {b}^{3}) + b( {a}^{2} - ab + {b}^{3} ) [/tex]
[tex]: \implies {a}^{3} - {a}^{2} b + a {b}^{3} + {a^2b} - {ab}^{2} + {b}^{4} [/tex]
[tex]: \implies{ {a}^{3}+ab^3 - ab^2+ {b}^{4} }[/tex]
Step-by-step explanation:
[tex] \blue{ \frak{Seolle_{aph.rodite}}}[/tex]
A theater group made appearances in two cities. The hotel charge before tax in the second city as $1000 higher than in the first. The tax in the first city was 6.5%, and the tax in the second city was 7.5%. The total hotel tax paid for the two cities was $845. How much was the hotel charge in each city before tax? First city:
Donovan is paying for gym classes. Each type of class has its own weekly fee. He signed up for x weeks of yoga classes and y
weeks of kickboxing classes. He paid a total of $136. The equation below describes the relationship between the number of weeks
of yoga classes and the number of weeks of kickboxing classes Donovan signed up for.
8x + 12y
-
136
The ordered pair (5,8) is a solution of the equation. What does the solution (5.8)
Considering the given function, the ordered pair (5,8) means that the signed up for 5 weeks of yoga classes and 8 weeks of kickboxing classes.
What does the function represent?
The function that represents the relationship between the number x of yoga classes that Donovan signs up for and the number y of kickboxing classes is given by:
8x + 12y = 136.
Hence the ordered pair (5,8) means that the signed up for 5 weeks of yoga classes and 8 weeks of kickboxing classes.
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what equation is equivalent to 2^3^x =10
Answer:
[tex]log_2(10)[/tex]
how to findSimplify the equation using logarithms.
part 1[tex]2^3x=10[/tex]
[tex]log_1_0(2^3x)=log_1_0(10)[/tex]
log rule ⇩
[tex]log_a(x^y)=y*log_a(x)[/tex]
move exponent out of log.
[tex]x*log_1_0(2)=log_1_0(10)[/tex]
part 2isolate variable further
[tex]x*log_1_0(2)=log_1_0(10)[/tex]
[tex]x=\frac{log_{10}(10)}{log_{10}(2)}[/tex]
formula for combining logs. ⇩
[tex]\frac {log_b(x)}{log_b(a)}=log_a(x)[/tex]
the result ⇩
[tex]x=log_2(10)[/tex]
let me know asap PLEASE
Answer:
the correct answer is B
Step-by-step explanation:
A function g is the inverse for the function f if for y-f(x), x-g(y)
y=7x-6
Replace x with y
x=7y-6
Solve for y in x=7y-6
Switch sides
7y-6=x
Add 6 to both sides
7y-6+6=x+6
Simplify
7y=x+6
Divide both sides by the coefficient of y, which is 7. We have:
7y/7 = x/7+6/7
7y & 7 are cancelled out and we're left with: x/7 & 6/7
Now we find the LCM of the denominators which is 7.
7 divide the denominators equal 1, we use the to multiply the numerators, x & 6
our final answer= x+6/7
I hope this helps.
By using a problem-solution structure, the author is able to show readers how people are hurting the planet. The structure also shows how we can change and what we can do to help solve the problems we have caused. It inspires people to take action
Answer:
One of the problems humans have made is a large amount of pollution.
And so some of the ways we can fix this is;
1- Using electric cars.
2- Using reusable packaging.
3- For the final one you could use stuff that easily and quickly to break down naturally materials.
Step-by-step explanation:
Use long division method to solve & following.
5 on 8
Answer:
0.625
Step-by-step explanation:
The formula for calculating percentage marckup is :
A. sticker price - invoice price/invoice price • 100 = percent markup
B. sticker price - invoice price/invoice price • 100 = markup
C. Invoice price - sticker price/sticker price • 100 = percent markup
D. Invoice price - sticker price/invoice price • 100 = percent markup
The formula for calculating the mark up percentage is as follows:
sticker price - invoice price/invoice price • 100 = percent mark up
How to find the percentage mark up?Percentage mark up can be described as follows:
percentage mark up = selling price per unit - cost price per unit / cost price per unit × 100
Therefore,
Mark up is the difference between a product's selling price and cost as a percentage of the cost.
Therefore, the formula for calculating the mark up percentage is as follows:
sticker price - invoice price/invoice price • 100 = percent mark up
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In which table does yvary directly with x?
The table in which y varies directly with x is table C.
What is direct variation?
When a variable varies directly with another variable, it means that as one variable increases, the other variable also increases.
The equation that is used to represent direct variation is:
y = kx
Where y is the constant of proportionality
In table c, k is equal to 26
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Which equation best models the data y=186-6.2x, y=246-6.2x, y=186-12.4x, y=246-12.4x which one
The equation that best models the data is (a) y = 186 - 6.2x
How to determine the equation?The data is not provided; so I would give a general guide on how to model a linear equation.
Assume the points on the line are:
(0,186) and (1,179.8)
Start by calculating the slope of the line using:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
This gives
[tex]m = \frac{179.8 - 186}{1 - 0}[/tex]
Evaluate
m = -6.2
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
y = -6.2(x - 0) + 186
Evaluate
y = -6.2x + 186
Rewrite as:
y = 186 - 6.2x
Hence, the equation that best models the data is (a) y = 186 - 6.2x
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Members of a softball team raised $1405.25 to go to a tournament. They rented a bus for $822.50 and budgeted $27.75 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
The number of players the team can bring to the tournament is 21
Writing and solving equationFrom the question, we are to write an equation that can be used to solve the number of players the team can bring to the tournament
From the given information,
The members of the softball team raised $1405.25 and they rented a bus for $822.50
∴ They have $1405.25 - $822.50 left
Also, they budgeted $27.75 per player for meals
Then, x, the number of players the team can bring to the tournament is
x = ($1405.25 - $822.50) ÷ $27.75
x = $582.75 ÷ $27.75
x = 21
Hence, the number of players the team can bring to the tournament is 21.
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help me solve this I will gave u brilliant answer please help
Answer:
4 and 7/12
Step-by-step explanation:
This is addition with fractions.
We must convert to the same denominator.
1/3 and 1/4 becomes 4/12 and 3/12
This makes 7/12
1 add 3 add 7/12 is 4 and 7/12