Answer:
Let's define the symbols:
x < y
means that x is strictly less than y.
x ≤ y
means that x is less than or equal to y.
(both of these signs can be in the other direction, take that in mind).
A) " a is always less than another number b"
Here we should have:
a < b.
a is always less than the other number b.
This is not in the options, so i suppose that there is a mistake in the question.
B) The expression "above" is not shown here, so i will just writhe the correspondent expression for each option, and you can see which one matches with the expression above.
a) "The product between 3 and a number is no less than 9"
3*n ≥ 9.
b) "The product between 3 and a number is greater than 9."
3*n > 9
c) "The product between 3 and a number is no more than 9"
3*n ≤ 9
d) "The product between 3 and a number is less than 9"
3*n < 9
Use the Distributive Property to Expand the Expression
1) 8 ( b + 5 )
Answer:
8b + 40
Step-by-step explanation:
8( b + 5 )
8×b + 8×5
8b+40
what’s 8.43 x 10^7 in standard form?
Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2
Select the expressions that are equivalent to 6u + U.
7u
U times 7
40 + 2u + u
3u + 4u
Answer:
7u, U times 7, and 3u + 4u.
You are given an expression for the volume of the rectangular prism. Determine an expression for the missing dimension.
V equal 4 x to the power of 3 plus 5 x to the power of 2 minus 32 x minus 33 and the dimensions are ( x + 1 ) and ( x + 3 ) .
Given:
The volume of the rectangular prism is
[tex]V=4x^3+5x^2-32x-33[/tex]
Two dimensions are (x+1) and (x+3).
To find:
The missing dimension.
Solution:
We know that, volume of a rectangular prism is
[tex]V=length\times breadth\times height[/tex]
It means, volume of a rectangular prism is the product of all dimensions.
We have,
[tex]V=4x^3+5x^2-32x-33[/tex]
Splitting the middle terms, we get
[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]
[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]
[tex]V=(x+1)(4x^2+x-33)[/tex]
Splitting the middle term, we get
[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]
[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]
[tex]V=(x+1)(x+3)(4x-11)[/tex]
So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).
Therefore, the missing dimension is (4x-11).
Answer:
the missing dimension is (4x-11).If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?
Answer:
Please read the explanied answer below.
Step-by-step explanation:
As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]We also know that a regular polygon has all the angles equal and all sides have the same length.
As we know:
Exterior angle = 360° ÷ No. of sidesWhen the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.
For example:
In terms of a triangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 3 = 120°
In terms of a rectangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 4 = 90°
and in the same way
360° ÷ 5 = 72 °
360° ÷ 6 = 60 °
360° ÷ 8 = 45 °
360° ÷ 9 = 40°
and so on.
I hope it may have solved your query.
What is the factored form of the binomial expansion 81x2 + 144xy + 64y2?
(9x – 8y)2
(9x + 8y)2
(3x – 4y)2
(3x + 4y)2
Students had two options for lunch, either a taco salad or a hot dog.
The ratio of taco salads to hot dogs is 3:1.
If a total of 80 lunches were served, how many were hot dogs?
Answer:
ok, so the answer would be 27 hot dogs and 53 tacos salads
Step-by-step explanation:
The town of Paxton has a population of 4.81 × 104 residents. The town of Oakville has twice the number of residents than Paxton. Which values represent the number of residents for the town of Oakville? Select all the values that apply
.A.9.62 × 10^8
B.4.81 × 10^6
C.9.62 × 10 ^4
D.4.81 × 10^8
E.4,810,000
F.96,200
plz help
Answer: A,F
Step-by-step explanation:
Mrs. Booker's meal at Chick-fil-A costs $16.78.
The tax on the meal is 6%. How much was her
total bill, including tax?
Answer:
17.79
Step-by-step explanation:
16.78*1.06=17.886
. A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles?
Answer:
4milesStep-by-step explanation:
Step one:
given
speed, v= 4mph
time taken t=1 hour
The velocity is defined and the rate of change of displacement
Required:
Distance traveled
we know that the expression relating distance, velocity and time is
velocity= distance/time
distance= velocity* time
substitute we have
Distance=4*1
Distance= 4miles
The distance traveled and the displacement of the honeybee in miles 4miles
Which lists all of the x-ontercept of the graphed function 0,6
Answer:
The answer is C, because those are the points that cross the x-axis.
Step-by-step explanation:
Answer: C
Step-by-step explanation:
When you look at the graph, you can see that all the points are listed where they should be
Please Rate 1-10, Then also add what your favorite one is.
Answer:
first one
Step-by-step explanation:
first one 10/10
2nd ome 9.6/10
I like the first one better
Answer:
2 one is my favorite
Step-by-step explanation:
1 , 9
2, 10
3, 8
4, 5
5, 1
2 The perimeter of a square is given as 12x + 20. Write two different expressions to
represent its perimeter. Use factoring for one way.
Answer:
The two expressions are;
4(3x + 5)
and
(6x + 10) + (6x + 10)
Step-by-step explanation:
Here, we want to write two different expressions to represent the perimeter of the square
The perimeter is given as 12x + 20
Using factoring, we can have this as;
4(3x + 5)
Otherwise, we can have
(6x + 10) + (6x + 10)
What is the equation of the line of symmetry for the parabola represented by the equation y=−x^2+2x+6?
Answer:
the answer would be t56 im guess ing along with x
Step-by-step explanation:
The line of symmetry for the parabola represented by the equation is
x = 1.
What is a parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
Given an equation of a parabola, y = -x²+2x+6
Factorizing the equation, we get,
x = 1+√7 or x = 1-√7
We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.
We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:
(1+√7 + 1-√7)/2 = 1
Hence, the equation represents the line of symmetry of the given parabola is x=1.
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A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph.
What is the cost of a 3-mile ride?
$1
$10
$12
$14
Answer:
The answer is 14
Step-by-step explanation:
The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.
Does 80/100 equal -8
Answer:
No.
Step-by-step explanation:
80/100 equals 0.8
can you guys help me please ?
Answer:
4x + 12 = -4
4x = -16
x = -4
Step-by-step explanation:
Have a great day :)
explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?
Answer:
Summary:
Standard form allow us to quickly find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Step-by-step explanation:
The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.
Standard Form:
The standard form of a quadratic is:
[tex]ax^2+bx+c[/tex]
There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.
The leading coefficient a will tell us if the parabola curves upwards or downwards.
And the constant c will give us the y-intercept.
Vertex Form:
The vertex form of a quadratic is:
[tex]a(x-h)^2+k[/tex]
There are also two details that can be conveyed by a quadratic in vertex form: (1) the vertex, and (2) the leading coefficient.
The leading coefficient is given by a. Again, this tells us the orientation of the parabola.
And the vertex is given by (h, k).
Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.
Factored Form:
The factored form of a quadratic is:
[tex]a(x-p)(x-q)[/tex]
Where p and q are the zeros/roots/solutions of the quadratic.
Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.
The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.
Summary:
Therefore, each form of a quadratic equation has its own benefits.
Standard form allow us to find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Hence, depending on the question, each form can be useful in its own way.
Which set of points represents a function? { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) }
Given:
The set of points.
To find:
Which set of points represents a function?
Solution:
A set of points represents a function if there exist a unique y-value for each x-value.
It option A, the set of points is
{(1,-2), (3,-5), (3,-2), (5,-7), (7, -8)}
This is not a function because there exist two y-values y=-5 and y=-2 for x=3.
It option B, the set of points is
{(0,1),(1,−3),(2,−5),(3,−7),(4,−9)}
This is a function because there exist a unique y-value for each x-value.
It option C, the set of points is
{(−1,1),(−1,3),(−1,5),(−1,7),(−1,9)}
This is not a function because there exist five y-values y=1,3,5,7,9 for x=-1.
It option D, the set of points is
{(−4,0),(−3,−1),(−3,1),(0,−2),(0,2)}
This is not a function because there exist two y-values y=-1 and y=1 for x=-3.
Therefore, the correct option is B.
Answer:
problem ...
Which of the following sets represents a function?
{(3, 5), (-1, 7), (3, 9)
{(1, 2), (3, 2), (5, 7)}
{(1, 2), (1, 4), (1, 6)}
Step-by-step explanation:i think is
{(1, 2), (3, 2), (5, 7)}
In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of the figure they form? Use this table to help you create an equation.
Answer:
The perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].
Step-by-step explanation:
According to the diagram, we get the following facts:
i) For one triangle ([tex]x=1[/tex]), the total perimeter is ([tex]y=2\cdot 3 + 1\cdot 4 = 10[/tex]).
ii) For two triangles ([tex]x = 2[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +2\cdot 4 = 14[/tex])
iii) For three triangles ([tex]x = 3[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +3\cdot 4 = 18[/tex])
iv) For four triangles ([tex]x = 4[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +4\cdot 4 = 22[/tex])
From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].
A weather station on the top of a mountain reports that the temperature is currently and has
been falling at a constant rate of per hour. Find each temperature. Explain or show your
reasoning.
What was the temperature?
D. An hour ago?
E. 3 hours ago?
F. 4.5 hours ago?
Answer:
1 hour ago-0*C3
hours ago-(-3*C)
4.5 hours ago- (-9*C
raised the points, please please help me out
Answer:
Where is the question?
Write the recurring decimal 0.63as a fraction
Answer:
63/100, this can't further more simplified
Step-by-step explanation:
i hope it helped you please give me brainliest
Please help!
Rewrite the rational exponent as a radical. (2 points)
Answer:
Answer: 3) [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Radical Form and Exponent Form
A radical can be expressed as a rational exponent following the identity:
[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]
We should also recall that:
[tex](x^n)^m=x^{nm}[/tex]
We are given the expression:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]
Applying the power of power:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]
Simplifying:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]
Converting to radical form:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]
Answer: 3) [tex]\sqrt{5}[/tex]
Determine whether the ordered pair (0, 2) is a solution to the equation -2x + y = -1
O No, (0, 2) is not a solution.
O Yes, (0, 2) is a solution
Answer:
O Yes, (0, 2) is a solution
Step-by-step explanation:
The Solution of an Equation
Given the equation
-2x + y = -1
An ordered pair (a,b) is a solution of the equation if
-2a + b = -1
Let's test the point (0,2) to check if it's a solution of the equation:
Replacing x=0, y=-1
-2(0) + (-1) = -1
0 - 1 = -1
-1 = -1
Since the equation is satisfied, the pair (0,2) is a solution.
Answer: O Yes, (0, 2) is a solution
Answer:
No, (0, 2) is not a solution.
Step-by-step explanation:
I did the test
(2) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain your reasoning. *
Answer:
$65
Step-by-step explanation:
Let
x = original price of the item
Mai buys one item and saves $13,
This means 20% of the original price of the item = $13
20% of x = 13
20/100 * x = 13
0.2 * x = 13
0.2x = 13
Divide both sides by 0.2
x = 13 / 0.2
= 65
x = $65
Therefore, the original price of the item is $65
Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her
salary on expenses each year, then how much money does Sandy have to spend on
expenses? Round your answer to the nearest whole number.
Answer:
Step-by-step explanation:
50,000 * 60%= 30,000
If Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Given that, Engineer Sandy earns a salary of $50000 per year. If Sandy spends each year 60% of her income on expenses,
We have to find the amount Sandy has to spend on expenses,
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
The amount spend on the expenses is,
Expenses = 60% of the salary
Expenses =60/100 × $50000
Expenses = 30,000
Thus, if Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.
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Can anyone help its due in 10 minuets!
Answer:
x=30⁰
Step-by-step explanation:
4x-55+3x+25=180
7x-30=180
7x=210
x=30⁰
Proof
3(30)+25=115
4(30)-55=65
115+65=180⁰
Factor the GCF: −14y2 + 12y − 22
Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).
Step-by-step explanation: