Answers
For this case what we can do is graph the function and see the behavior of it.
We have then that the function grows upwards (see attached image)
It has two cutting points with the x axis in:
x = 0
x = 1
Therefore, the other roots of the polynomial are imaginary.
Answer:
2 x intercepts appear on the graph of this polynomial function
Answer:
B) 2 x-intercepts
Related Questions
a. In order for ΔABC to be similar to ΔDEF, what must be true about the angles? Be specific. b. If you know that ΔABC is similar to ΔDEF, and you know that m∠A = 52° and m∠E = 65°, what is m∠C? Explain how you arrived at your answer. c. What is the difference between two figures being similar and two figures being congruent?
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ii) If ΔABC is similar to ΔDEF, therefore; m∠A = m∠D, m∠B=m∠E, and m∠C=m∠F,
thus, if m∠A= 52, m∠D=52, and if m∠E=65, then m∠B=65, thus to get m∠C;
180- (52+65)
= 63 , therefore; m∠C= 63
iii) if two figures are similar they have the same shape and not necessarily the same size while if two figures are congruent then they have the same shape and size
Answer:
If ΔABC is similar to ΔDEF, therefore; m∠A = m∠D, m∠B=m∠E, and m∠C=m∠F,
though, if m∠A= 52, m∠D=52, and if m∠E=65, then m∠B=65, though to get m∠C;
180- (52+65)
= 63 , so then, m∠C= 63
Step-by-step explanation:
helppppppppppppppppppppppppppppppppp
Answers
Third choice is the correct one
Explanation:
We are asked to use the u substitution. Therefore, we will assume that:
u = x^2
Substitute with u in the given expression as follows:
9x^4 - 2x^2 - 7 = 0
9u^2 - 2u - 7 = 0
(u-1)(9u+7) = 0
either u = 1
or u = -7/9
Now, u = x^2, this means that:
at u = 1:
x^2 = 1
x = ± √1 = ±1
at u = -7/9
x = ±i√7/9 (the i indicates the imaginary value)
Hope this helps :)
Which rule describes a translation that is 8 units to the right and 2 units up?
Answers
when we speak of right or left we refer to the x axis
x positive --------------> right
x negative--------------> left
when we speak of up or down we refer to the y axis
y positive --------------> up
y negative--------------> down
therefore
the rule is
(x,y)---------> (x+8, y+2)
x, y (x + 8, y + 2)
Verify that △ABC∼△DEF. Find the scale factor of △ABC to △DEF.
△ABC: AB = 10, BC = 16, CA = 20
△DEF: DE = 25, EF = 40, FD = 50
I really need someone to explain to me how to do this because i am so confused my teacher didn't give us notes and didn't explain this very well.
Answers
Answer:
2/3 i got it right
Step-by-step explanation:
Final answer:
To find the scale factor between △ABC and △DEF, compare their corresponding side lengths and calculate the scale factor as 2.5 or 5/2.
Explanation:
To verify that two triangles △ABC and △DEF are similar, you need to check if their corresponding angles are congruent and their corresponding sides are proportional.
Calculate the scale factor using the corresponding sides of the triangles: AB/DE = BC/EF = CA/FD.
Substitute the values: 10/25 = 16/40 = 20/50. Simplify to find the scale factor.
Therefore, the scale factor of △ABC to △DEF is 2.5 or 5/2.
factor the following polynomial completely 30y^6+25y^5-10y^4
Answers
A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standard deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 6% of 80%.
Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.
Answers
What is log5(4*7)+log5^2 as a single log?
Answers
It would be better if you sent a photo task
I'm not sure what I understood correctly
Answer with explanation:
The four options are
(A) log5 21 (B) log5 26 (C) log5 30 (D) log5 56
[tex]\rightarrow\log_{5}(4\times 7) +\log_{5}(2)\\\\ \rightarrow \log_{5}28+\log_{5}2\\\\\rightarrow \log_{5}(28 \times 2)\\\\=\log_{5}(56)\\\\ \text{Used this property of log}\\\\ \log_{m} a+\log_{m} b=\log_{m} ab[/tex]
Option D
Find the nth term of the sequence
-3, 0, 5, 12
Work out the reciprocal of 2 x 10(9,as a power). Give your answer in standard form.
Answers
Adding 4 to each term we find 1,4,9,16,....
[tex]u_1=-3\\ u_2=0\\ u_3=5\\ u_4=12\\ Let's\ assume\ v_n=u_n+4\\ v_1=-3+4=1=1^2\\ v_2=0+4=4=2^2\\ v_3=5+4=9=3^2\\ v_4=12+4=16=4^2\\ ...\\ v_n=n^2\\ u_n=v_n-4\\\\ \boxed{u_n=n^2-4} [/tex]
Hi guys can you help me factor these two equations?
5x^2-13x-6
4x^4 – 28x^3 + 48x^2
please show your work on both of them, and thank you so much!
Answers
1. First, you must find the roots of the quadratic equation, by applying the quadratic formula, which is:
x=-b√(b²-4ac)/2a
2. The roots are:
x1=3
x2=-2/5
3. Then, you have:
5(x-3)(x+2/5)
4. When you simplify, you obtain:
(x-3)(5x+2)
B) 4x^4-28x^3+48x^2
1. First, you must factor the common term, which is 4x^2. Then:
4x^2(x^2-7x+12)
2. Now, you must apply the quadratic formula to obtain the roots of the quadratic equation: x^2-7x+12. Then, you have:
x1=4
x2=3
3. Finally, you obtain:
4x^2(x-4)(x-3)
The area of a rectangle is 77ft^2 , and the length of the rectangle is 3ft more than twice the width. What are the dimensions of the rectangle ?
Answers
W = W
L = 2W + 3
Area = L * W
Area = (2W + 3)*W
Area = 2W^2 + 3W
The area is also 77
So
Area = 2w^2 + 3W = 77
Area = 2w^2 + 3W - 77 = 0
Now factor the question
77 can only factor into 1,77 which is highly unlikely and 7 and 11
As a guess I'm going to try 7. It that's true, we get
(x + 7)(2x - 11) = 0 This might work.
x^2 + 14x - 11x - 77 = 0
x^2 + 3x - 77 = 0 So the factoring is correct.
x + 7 = 0
x = - 7
2x - 11 = 0
2x = 11
x = 11/2
x = 5.5
W = 5.5 <<<< Answer
The minus seven is meaningless.
Width = 5.5
Length = 2*5.5 + 3
Length = 11 + 3
Length = 14 <<<< answer
Now we have to check the area.
Area = L * W
Area = 14 * 5.5
Area = 77. You have a complete answer.
help me plsss i really need did that but still dont get it
Answers
HELP QUICK PLEASE!!!!!
A proof for the Corresponding Angles Theorem is shown below. Next to each reason, choose the statement to which it applies.
Answers
xoxo nikole
#2=Alternate interior
#3=Vertical angles
#4=Substitution
PLZ HELP!!!!!!! Can a kite be formed by drawing a triangle and then reflecting one or more times? Explain.
Select one:
a. Yes. Draw any triangle ABC. Reflect this triangle across the perpendicular bisector of line AB, creating triangle A'B'C' for which A'=B and B'=A. By the definition of a reflection, sides A'C and B'C' are congruent. In addition, sides B'C and A'C' are congruent. The quadrilateral CC'B'A' has two pairs of consecutive sides that are congruent and no congruent opposite sides. By definition, this is a kite.
b. Yes. Draw any triangle ABC. Reflect this triangle across the line AB, creating triangle A'B'C' for which A'=A and B'=B. By definition of a reflection, sides B'C and B'C' are congruent. In addition, sides A'C and A'C' are congruent. The quadrilateral CA'C'B' has two pairs of consecutive sides that are congruent and no congruent opposite sides. By definition, this is a kite.
c. No. Since the reflection of a triangle is always another triangle, there is no way to create a quadrilateral using a triangle or its reflection.
d. No. It is not possible to reflect a triangle in such a way that the result is quadrilateral with any consecutive sides that are congruent.
Answers
The answer is (B).
Draw any triangle ABC. Reflect this triangle across the line AB, creating triangle A'B'C' for which A'=A and B'=B. By definition of a reflection, sides B'C and B'C' are congruent. In addition, sides A'C and A'C' are congruent. The quadrilateral CA'C'B' has two pairs of consecutive sides that are congruent and no congruent opposite sides. By definition, this is a kite.
If the radius of the circle is doubled, by what number is the circumference multiplied?
Answers
The number by which the circumference is multiplied is:
2
Step-by-step explanation:We know that the circumference of the circle in terms of the radius r is given by:
[tex]\text{Circumference}=2\pi r[/tex]
Now, if the radius is doubled.
i.e.
[tex]r'=2r[/tex]
Hence, the circumference of the new circle is given by:
[tex]\text{Circumference of new circle}=2\pi (2r)\\\\i.e.\\\\\text{Circumference of new circle}=2(2\pi r)[/tex]
i.e.
[tex]\text{Circumference of new circle}=2\times \text{Circumference of original circle}[/tex]
The constant by which the circumference is multiplied is: 2
How are the functions y=x and y=x+5 related? How are their graphs related?
Answers
Final answer:
The functions y=x and y=x+5 have the same slope but different y-intercepts. Their graphs are straight lines.
Explanation:
The functions y=x and y=x+5 are related in that they have the same slope of 1. This means that for every increase of 1 in the value of x, the value of y will also increase by 1. However, they have different y-intercepts. The function y=x has a y-intercept of 0, while the function y=x+5 has a y-intercept of 5.
Their graphs are related in that they are both straight lines. The graph of y=x is a line passing through the origin (0,0), while the graph of y=x+5 is a line shifted upward by 5 units compared to the graph of y=x.
Write an equation for the translation of y = 4 x that has the given asymptotes. 15. x = 0, y = 3
Answers
____
We are a bit mystified regarding the role of "15." in this question. We suspect it is an irrelevant question number.
How many sets of 7 questions can be chosen from a file of 25 questions?
Answers
When order of selection counts:
P(25,7)
=25!/(25-7)!
=15511210043330985984000000/6402373705728000
=2422728000
When order of selection does not count count:
C(25,7)
=25!/(7!*(25-7)!)
=15511210043330985984000000/(6402373705728000*5040)
=480700
A clock is constructed using a regular polygon with 60 sides. The polygon rotates everybody minute. How much has the polygon rotated after 7 minutes
•14 degrees
•21 degrees
•35 degrees
•42 degrees
Answers
6 minutes = 1 degree
6 X 7 = 42
42 degrees is your Answer
Write an expression to show the sum of fourteen and triple eight.
Answers
have a good day!! :)
hope this helps!!! :D
plz give brainliest!! XD
jake plans to use a ramp to make it easier to move a piano out of the back of his truck the back of the truck is 33 inches tall and the ramp is 65 inches long. what is the horizontal distance from the end of the ramp to the back of the truck
Answers
Answer:
56 inches is the horizontal distance from the end of the ramp to the back of the truck.
Step-by-step explanation:
Height of the back of the truck =33 inches
Length of the ramp = 65 inches
Length of the end of ramp to the back of the truck =?
In triangle ABC:
AB = 33 inches
BC = ?
AC = 65 inches
[tex]AB^2+BC^2=AC^2[/tex] (Pythagoras theorem)
[tex](33 inches)^2+(BC)^2=(65 inches)^2[/tex]
BC = 56 inches
Please solve these for me. I need them for a quiz.
Answers
I'm going to use the Substitution method
c = 160 + 67t
55 + 82t = 160 + 67t .... replace c with 55+82t; solve for t
55 + 82t - 55 = 160 + 67t - 55
82t = 67t + 105
82t - 67t = 67t + 105 - 67t
15t = 105
15t/15 = 105/15
t = 7
Use t = 7 to find that
c = 160 + 67t
c = 160 + 67*7
c = 629
You can use the other equation as well to get the same answer for c.
It takes 7 months for the cost to be the same. That cost is $629
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4b)
I'm going to use the Elimination method
Subtract the equations to get
x+y = 20
x-4y = -15
-----------
0x+5y = 35
If 5y = 35, then y = 7 after we divide both sides by 5
Plug y = 7 into the first equation and solve for x
x+y = 20
x+7 = 20
x+7-7 = 20-7
x = 13
So x = 13 and y = 7 are the solutions
Max exercises 13 hours a week while Sasha exercises 7 hours a week
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4c)
I'm going to use the Substitution method
x = price for one adult ticket (in dollars)
y = price for one student ticket (in dollars)
Fact #1
4 adult tickets + 2 student tickets = 64 dollars
4x + 2y = 64
Fact #2
3 adult tickets + 3 student tickets = 60 dollars
3x + 3y = 60
3(x + y) = 60
3(x + y)/3 = 60/3
x + y = 20
x + y-x = 20-x ... subtract x from both sides
y = 20 - x
Plug that into the first equation
4x + 2y = 64
4x + 2(y) = 64
4x + 2(20-x) = 64 ... replace y with 20-x; solve for x
4x + 40-2x = 64
2x + 40 = 64
2x + 40-40 = 64-40
2x = 24
2x/2 = 24/2
x = 12
Use x = 12 to find y
y = 20 - x
y = 20 - 12
y = 8
In summary, x = 12 and y = 8, which means...
One adult ticket costs $12
One student ticket cost $8
Which algebraic expression is equivalent to the expression below? (3x + 12) + 8x
A.
(3x + 8x) + 12
B.
(3x - 8x) + 12
C.
23x
D.
(3x + 12x) + 8
Answers
what is the answer to g(r)=−5r+13
Answers
The function g(r) is a linear equation with a slope of -5 and a y-intercept of 13. You can find the value of g(r) by plugging in different values for r.
Explanation:The student's question is regarding the function g(r)=−5r+13. However, the rest of the information provided appears to be disjointed and not directly related to the function in question.
To answer their question, g(r)=−5r+13 is a linear function where -5 is the slope and 13 is the y-intercept. In this equation, r is the independent variable, and g(r) is the dependent variable. You would insert a value for r to find the corresponding output of g(r). For example, if r = 2, then g(2) = -5(2) + 13 = -10 + 13 = 3.
I need Geometry help!!!
Answers
.. 3x +8 = 5x -20
.. 28 = 2x . . . . . . . . add 20-3x
.. 14 = x . . . . . . . . . . divide by 2
Each of the vertical angles is 3*14 +8 = 50°, so the supplementary one is 130°.
.. 5*14 +4y = 130
.. 4y = 60 . . . . . . . . subtract 70
.. y = 15 . . . . . . . . . . divide by 4
The values of interest are
.. x = 14
.. y = 15
6) Ethan uses the function f(x) = 2x2 + 2x + 4 to track the temperature of a substance over 8 hours. You know that f(3) = 28 meaning that the temperature of the substance is 28°C when you plug in a 3 for x. What is the domain of Ethan’s function?
Answers
The domain of Ethan's function f(x) = 2x² + 2x + 4 is all real numbers as it is a quadratic function.
Explanation:The domain of a function is the set of all possible input values (x-values) for which the function produces a valid output (y-value). In this case, the function f(x) = 2x² + 2x + 4 represents the temperature of a substance over time. Since temperature is a physical quantity and cannot be negative, the domain of the function must be restricted to non-negative values of x.
To determine the exact domain of the function, we can analyze the expression 2x² + 2x + 4. This expression is always non-negative for any real number x. Therefore, the domain of f(x) = 2x² + 2x + 4 is all real numbers x ≥ 0.
In mathematical notation, the domain of the function can be expressed as:
{x ∈ ℝ | x ≥ 0}
This indicates that the function is defined for all real numbers (ℝ) as long as the value of x is greater than or equal to 0 (x ≥ 0).
Eight more than the quotient of a number and 4 equals 5
Answers
Answer= X = -12
A rhombus exists. This rhombus has 2 diagonals. The diagonals touch the side forming angles. These angles are in the ratio 4:5. Solve for all the angles in this rhombus based on the theorems for rhombuses and parallelograms.
Answers
and the pair of angles at each opposite vertex, are twins.
now, since the diagonals center meeting point, makes 4 right-triangles, let's use the one on the upper-left, recall that a triangle has a sum of all interior angles to be 180°, so the missing angles in that triangle are "complementary angles", namely, they add up to 90°.
so, let's check 90 in a 4:5 ratio then, we simply divide 90 by (4+5) and distribute the pieces accordingly, let's do so,
[tex]\bf 90\qquad 4:5\qquad \cfrac{4}{5}\qquad \cfrac{4\cdot \frac{90}{4+5}}{5\cdot \frac{90}{4+5}}\implies \cfrac{40}{50}\implies 40:50[/tex]
so the ratio of 4 angle, is really 40°, and the ratio of 5 angle is really 50°.
since the diagonal is bisecting the vertex, the angle made at the vertex is twice as much as that in the triangle we used, thus, 2(40) are the angles at the top and bottom, and 2(50) are the angles at the left and right.
80°, 80° and 100° and 100°.
What is the area of a sector with a central angle of π3 radians and a radius of 12.4 m? Use 3.14 for π and round your final answer to the nearest hundredth.
Answers
Answer:
80.47
Step-by-step explanation:
This is correct! :D
maxine hosted a dinner party at her favorite restaurant. she had to pay $12 per guest. the restaurant took $72 off the bill due to a mistake in the order. if the finale bill is $300, which equation will help the restaurant determine the number of guests at the dinner party
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What is 6/7 as a recurring decimal?