Answer:
Graph B
Step-by-step explanation:
In order for a graph to represent a function, it needs to pass the vertical line test. In this case, graph B is the only one that passes the vertical line test.
Hope this helped :)
Which polynomial is equal to the sum of polynomials 1 and 2?
Polynomials 1 and 2 are represented below with tiles.
Polynomial 1
X²X²
X²
Polynomial 2
A. 2x²+2x+1
OB. 5x² + 4x+6
OC. 7x² +6x+7
OD. 7x² +6x+5
The polynomial 7x² + 6x + 7 is equal to the sum of polynomials 1 and 2.
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved. Example, x² + 3x + 5.
As per the given informations, the first polynomial is 2x² + 2x + 1.
The second polynomial equal is 5x² + 4x + 6.
Now, the sum of the two polynomial can be written as,
Sum = 5x² + 4x + 6 + 2x² + 2x + 1 = 7x² + 6x + 7
Therefore, the polynomial 7x² + 6x + 7 is equal to the sum of polynomials 1 and 2.
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Which of the following best describes the folding method needed to create a
perpendicular line segment?
A. Fold tracing paper at a point on the line segment and twist it, creating an acute angle.
B. Fold tracing paper at a point on the line segment and extend the line segment indefinitely.
C. Fold tracing paper at a point not on the line segment so that the line segment lies upon itself.
D. Fold tracing paper so that the line segment's endpoints line up with each other.
Fold tracing paper so that the line segment's endpoints line up with each other , Option D is the correct answer.
What is a Perpendicular ?A perpendicular is a line drawn at 90 degree to a given line or line segment .
Fold tracing paper so that the line segment's endpoints line up with each other.
After drawing a line segment ,
when the end point will be on each other and a crease will be made by pressing the paper , The crease formed will be perpendicular to the line segment.
Therefore, Option D is the correct answer.
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Answer:
The correct answer is C.
Step-by-step explanation:
Fold tracing paper so that the line segment's endpoints line up with each other.
write 9 430 049 in international number system
Step-by-step explanation:
9, 430, 049 = 9 million four hundred thirty thousand and fourtynine....
[tex]...[/tex] :)..
A small company manufactures picnic tables. The daily fixed cost is 1,200 and the variable cost is $45 per table. How many picnic tables can be produced for a total daily cost of 4,800.
Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:
C(n) = 1200 + 45n.
Now, we have to solve for n when C(n) = 4800, hence:
1200 + 45n = 4800
45n = 3600
n = 3600/45
n = 80.
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The graph shows two lines, A and B:
Based on the graph, which statement is correct about the solution to the tC system of equations for lines A and B?
O (3, 4) is the solution to both lines A and B.
© (3, 4) is the solution to line A but not to line B.
O (0, 2) is the solution to both lines A and B.
O (0, 2) is the solution to line A but not to line B.
Answer:
the answer is (3,4) is the solution to line A but to not line B
Question 7 of 10
Which choices are equivalent to the expression below? Check all that apply.
3√6
A. √54
B. 18
C. √27.4
☐D. √27.√2
□E √9.6
F. 54
PREVIOUS
Step-by-step explanation:
[tex] = 3 \sqrt{6} [/tex]
[tex] = \sqrt{ {3}^{2}.6 } [/tex]
[tex] = \sqrt{9.6} [/tex]
[tex] = \sqrt{54} [/tex]
The answer is A.
The nature of a graph, which has an even degree and a positive leading coefficient will be
The nature of a graph, which has an even degree and a positive leading coefficient will be up left, up right position
What is the nature of the graph of a quadratic equation?The nature of the graphical representation of a quadratic equation with an even degree and a positive leading coefficient will give a parabola curve.
Given that we have a function f(x) = an even degree and a positive leading coefficient. i.e.
y = f(x) = 2x²+ 4The domain of this function varies from -∞ < x < ∞ and the parabolic curve will be positioned on the upward left and upward right x-axis.
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What is the value of x/2 + 4 when x = 6?
Step-by-step explanation:
solution:
here,
x/2+4
= 6/2+4 ( x = 6 )
= 3+4
= 7
Answer:
7
Step-by-step explanation:
x/2 + 4
=> 6/2 + 4 (x=6)
=> 3 + 4
=> 7
can someone please help mee
Answer:
0,5 b
Step-by-step explanation:
when you purchase a new car, what kind of tax will you usually pay
Answer:
Whether you're buying a new car or a used car, or even leasing a car, you'll have to pay state sales tax. Nearly every state has a sales tax, ranging from under 3 percent to over 8 percent. The national average in the United States is 5.75 percent.
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a father is twice as old as his son. 20 yrs ago the father was four times as old as his son. find their present ages
Answer:
son's present age = 30
father's present age=60
Step-by-step explanation:
his son's present age = x years
his father's present age = 2x years
before 20 years his son's age=(x-20) years
before 20 years father's age=(2x-20) years4(x-20)=(2x-20)
4x-80=2x-20
4x-2x=80-20
2x=60
x=30
Write the equation of the line that is parallel to the line y = -x - 2 through the
point (4,-2)
Answer:
y = -x +2
Step-by-step explanation:
Equation of a line in slope-intercept form :
y = mx + b where m = slope and 'b' is the y-axis intercept
y = -x-2 is in this form..... slope m = -1 b = -2
the parallel line will have the same slope = -1 and will look like
y = -x + b
to calculate the value of 'b' for this line, substitute in the point given:
-2 = - (4) + b shows b = 2
so your line becomes y = -x + 2
Answer:
y =-x + 2
Step-by-step explanation:
Equation of line:Parallel lines have same slope.
y = -x - 2
Compare with the equation of the line in slope y-intercept form: y =mx + b
Slope = m = -1
So, equation of line: y = -x + b
Point(4 ,-2) is going through this line. so, substitute x = 4 & y = -2 in the above equation.
-2 = -4 + b
-2 + 4 = b
[tex]\sf \boxed{b = 2}[/tex]
Equation of the required line:
[tex]\sf \boxed{\bf y = -x + 2}[/tex]
A business rents cars for $100 a day and vans for $200 a day. One day, it rented a total of 22 vehicles
and made a total of $2900. What is a possible number of cars and vans it rented that day?
Answer:
Vans - 7
Cars - 15
Step-by-step explanation:
$200 * 7 = $1400
$100 * 15 = $1500
$1400 + $1500 = $2900
Find the value [[23]] (step functions) helpp pls im so confused if you could also explain it :3
I assume [[x]] stands for "the largest integer smaller than or equal to x".
If x is already an integer, then x itself satisfies the definition. 23 is an integer that is equal to 23. So [[23]] = 23.
Suppose f(x)=x^2 and g(x)=5x^2. Which steamy best compares the graph of g(x) with the graph of f(x)?
By understanding and applying the concepts of dilation and quadratic functions, the function g(x) is a vertically dilated version of f(x) by a factor of 5.
How to compare the graphs of two functions
In this questions we know two quadratic equations of the form y = a · x². f(x) is known as the canonical function as a = 1 and g(x) is the consequence of dilating f(x) vertically by a factor of 5. Now we proceed to present graphically between the two functions.
In a nutshell, the function g(x) is a vertically dilated version of f(x) by a factor of 5.
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help i will mark as branliest
Answer:
(a) DE = 7.5 cm
(b) Area of ΔABE = 9.33 cm2
Step-by-step explanation:
(a) [tex]\frac{AE}{DE} =\frac{BE}{CE}[/tex]
[tex]\frac{5}{DE} =\frac{4}{6}[/tex]
[tex]DE=\frac{(5)(6)}{4} =\frac{30}{4} =7.5[/tex]
(b) measurements of similar triangles have a ratio of 2/3
The ratio between areas is
[tex](\frac{2}{3} )^{2} =\frac{4}{9}[/tex]
If the area of ΔCDE = 21
Then the área of ΔABE is:
[tex]21(\frac{4}{9})=\frac{(21)(4)}{9} =\frac{84}{9} =9.33[/tex]
Hope this helps
if 13n-6 = 98 what is the value of n
Answer:
n = 8
Step-by-step explanation:
13n-6 = 98
Solution:
13n = 98+613n = 104n = 104/13n = 8Hence the value of n is 8.
13n - 6 = 98
13n = 98 + 6
13n = 104
n = 104/13
n = 8
Solve for k in g=k-a.
Answer:
k = g + a
Step-by-step explanation:
g = k - a ( add a to both sides )
g + a = k , that is
k = g + a
On a map 1/4 inch between represnts an actual distance of 2 miles between the location what is the actual distance in miles between two cities that are 3 3/4 inch apart on the map
Answer:
30 miles is the actual distance.
Step-by-step explanation:
3 3/4 = 15/4
15*2=30
what is the answer??? so confused
Answer:
3 1/2
Step-by-step explanation:
Put '3' where 'y' is and compute :
[12 -3(3) ] / 2 + 3 [ (2(3)-4 )/3) =
3/2 + 2
= 3 1/2
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?
All potential rational roots of f(x) = 15x¹¹ - 6x⁸ + x³ - 4x + 3, going by the rational rots theorem are {±1, ±1/3, ±1/5, ±1/15, ±3, ±3/5}.
The rational root theorem suggests that for a polynomial function
f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x¹ + a₀, all potential rational roots can be given by the formula p/q, where p is the set of all factors of ±a₀ and q is the set of all factors of ±aₙ.
In the question, we are asked to find the potential rational roots of
f(x) = 15x¹¹ - 6x⁸ + x³ - 4x + 3.
Comparing the given polynomial function with the standard polynomial function f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x¹ + a₀, we can say aₙ = 15, and a₀ = 3.
By rational root theorem, we know that all potential rational roots can be given by the formula p/q, where p is the set of all factors of ±a₀ and q is the set of all factors of ±aₙ.
Therefore, we can say that p = {factors of ±3} and q = {factors of ±15},
or, p = {±1, ±3}, q = {±1, ±3, ±5, ±15}.
Now, we can write all potential roots by calculating p/q.
p/q = {±1, ±1/3, ±1/5, ±1/15, ±3, ±3/5}
Therefore, all potential rational roots of f(x) = 15x¹¹ - 6x⁸ + x³ - 4x + 3, going by the rational roots theorem are {±1, ±1/3, ±1/5, ±1/15, ±3, ±3/5}.
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Solve the equation 4 sin x - cosec x =cot x for 0° < x < 360°.
For this question, I will be writing 'csc' instead of 'cosec'
[tex]4\sin x-\csc x=\cot x\\\\4\sin x-\frac{1}{\sin x}=\frac{\cos x}{\sin x}\\\\4\sin^{2} x-1=\cos x\\\\4(1-\cos^{2} x)-1=\cos x\\\\4-4\cos^{2} x-1-\cos x=0\\\\4\cos^{2} x+\cos x-3=0\\\\ (4\cos x-3)(\cos x+1)=0\\\\\cos x=\frac{3}{4}, 1\\\\\therefore \boxed{\cos^{-1} \left(\frac{3}{4} \right), 180^{\circ}, 360^{\circ}-\cos^{-1} \left(\frac{3}{4} \right)}[/tex]
(9x + 1) − (−7x² + 4x + 10)
Answer:
7x² + 5x - 9
Step-by-step explanation:
(9x + 1) - (- 7x² + 4x + 10) ← distribute parenthesis by - 1
= 9x + 1 + 7x² - 4x - 10 ← collect like terms
= 7x² + 5x - 9
g(x) =2x+3, find g(-3)
The value of g(-3)=-9
The function is a relation between two sets X and Y which are one-one or many-one. Here set X is called the domain and set Y is called codomain.
For example: f(x)=3x+9
To get the value of the function at any point of x, we have to put the number in the function to get its function value.
For example the value of f(x) in above function at x=a will be f(a)=3a+9
Similarly given function in the question
g(x)=2x+3
to get the value of g(x) at x=-3 put the value of x in the function,
g(-3)= 2(-3)+3 = -3
Therefore the value of g(-3) is -3.
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Solve for the value of x:-
7(x+2)=35
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 3 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: 7(x + 2) = 35[/tex]
[tex]\qquad \tt \rightarrow \: 7x + 14 = 35[/tex]
[tex]\qquad \tt \rightarrow \: 7x = 35 - 14[/tex]
[tex]\qquad \tt \rightarrow \: 7x = 21[/tex]
[tex]\qquad \tt \rightarrow \: x = \cfrac{21}{7} [/tex]
[tex]\qquad \tt \rightarrow \: x = 3[/tex]
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The gravel path is 5.6 cm long
Please help me with this question 1/11
The value of a₄₃ is 3.
What is Matrices?Matrices is a plural form of a matrix, which is a rectangular array or a table where numbers or elements are arranged in rows and columns.
Here, aₓₙ is the element of matrix in which x represents the number of row and n represents the number of column of element.
So, a₄₃ means element from 4th row and 3rd column.
4th row = [2 9 3 7]
3rd column = [tex]\left[\begin{array}{ccc}8\\6\\1\\3\end{array}\right][/tex]
the common value between them is 3.
Thus, the value of a₄₃ is 3.
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Which of the following is the appropriate notation when calculating
conditional probabilities?
A. P(EF)= P(E)+ P(F)- P(EUF)
B. P(EIF)=P(EnF)
P(F)
OC. P(EIF)=P(EA)
P(E)
D. P(EUF)=P(E) + P(F)-P(EF)
SUBMIT
The following are the appropriate notations is P(EIF)=P(E n F) / P(F).
What is Conditional Probability?Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.
As, from the property of conditional probability
P(EIF)=P(E n F) / P(F)
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What is the formula for capacity of a prism?
Answer:
The prism volume formula is B*h B (area of one end) =0.5*1000*566 = 283,000 mm 2 (area of a triangle) H (length/height of prism) = 1000 mm
Step-by-step explanation:
Answer:
Step-by-step explanation:
Any prism volume is equal to the area of the base (B) multiplied by the height of prism (H)
V = BH
Now, to find the area of the base you need this formula : B = 1/2 h(b1+b2), then multiply by the height of the prism.
Which set of ordered pairs represent a line that is perpendicular to the given set: (1,8)
(2,10)?
Using linear function concepts, it is found that a set of ordered pairs with a slope of [tex]-\frac{1}{2}[/tex] is perpendicular to the given set.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.When two sets are perpendicular, the multiplication of their slopes is -1. The set (1,8) and (2,10) has slope given by:
m = (10 - 8)/(2-1) = 2.
Then, for the perpendicular set:
2m = -1
m = -1/2.
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