If (x – 2k) is a factor of f(x), which of the following must be true? f(2k) = 0 f(–2k) = 0 A root of f(x) is x = –2k. A y intercept of f(x) is x = 2k.
Answers
Answer:
f(2k0=0
Step-by-step explanation:
answer a
The correct statement about function is,
⇒ f (2k) = 0
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.\
Given that;
(x – 2k) is a factor of function f(x),
Since, (x – 2k) is a factor of function f(x),
Hence, x = 2k is a factor of function f(x),
Thus, We get;
⇒ f (2k) = 0
Thus, The correct statement about function is,
⇒ f (2k) = 0
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Related Questions
Always, Sometimes, Never
1. A quadrilateral is a parallelogram. Sometimes 2. A rectangle is a square. Sometimes
3. A square is a rectangle. always
4. A rhombus is a square. sometimes
5. A square is a rhombus. always
6. A parallelogram is a rectangle. sometimes
7. A Rhombus is a rectangle.
8. A parallelograms has 4 right angles.
9. A triangle is a parallelogram. never
10. Parallelograms are quadrilaterals.
need a answer for 7, 8, and 10 and if you could check the other questions that would be great
Answers
Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2x - 3y = 6 at x = 3. Include
your work in your final answer. Type your answer in the box provided to submit your solution.
Answers
Answer:
y= 2x -6
Step-by-step explanation:
The slope-intercept form of a line is given by y= mx +c, where m is the slope and c is the y-intercept.
To find the equation of a line, two information are needed:
Slope (given/ calculated)A pair of coordinatedGiven that the slope is 2, m= 2. Substitute m= 2 into y= mx +c:
y= 2x +c
Let's find the coordinate in which the line intersects the line 2x -3y= 6. Point of intersection refers to the point at which two lines cuts through each other i.e., the point lies on the graph 2x -3y= 6 and the line of interest.
2x -3y= 6
When x= 3,
2(3) -3y= 6
6- 3y= 6
3y= 6 -6
3y= 0
Divide both sides by 3:
y= 0
Coordinate that lies on the graph is (3, 0).
Substitute the point into the equation and solve for c:
y= 2x +c
When x= 3, y= 0,
0= 2(3) +c
0= 6 +c
c= -6
Substitute the value of c back into the equation:
Thus, the equation of the line in slope-intercept form is y= 2x -6.
Additional:
For a similar question on slope-intercept form, do check out the following!
https://brainly.com/question/28007941Hurry - Fill in the blanks
Answers
Answer:
The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.
An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.
Lana bought party favors at the store for the school's 6thgrade graduation party. Lana bought 7 bags of party hats with 12 hats in each bag. Lana also bought 4 bags of horns with 24 horns in each bag. How many more horns than party hats did Lana buy?
Answers
Answer:
she brought 96 horns and 84 party hats
Step-by-step explanation:
give me branliest and a heart plzzzz
(9.42x10^4)(6.45x10^2)
Simplify using a scientific calculator.
Write each answer in scientific notation.
Sone help me understand how to do this
Answers
60.759×10⁶ is the value of the expression (9.42×10⁴)(6.45×10²).
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (9.42×10⁴)(6.45×10²)
We have to find the value of the expression.
9.42×6.45×10²×10⁴
60.759×10²×10⁴
Bases are same then the powers will be added.
60.759×10⁶
Hence, 60.759×10⁶ is the value of the expression (9.42×10⁴)(6.45×10²).
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What’s the correct answer for this? Select the ones that apply
Answers
Answer:
C & D
Step-by-step explanation:
In both these pairs, the x-coordinates are not changed while the y-coordinates are having a difference of 8 between them so they are really much corresponding
9-1=8
-3-(-11)=-3+11=8
What’s the answer?????20 points!!!!
Answers
Answer:
i think 6,300
Step-by-step explanation:
Answer:
I believe the answer is c <3
Does the table below represent a proportional relationship?
x 2 3 4 5
y -8 -12 -16 -20
A.
No, because the ratios of y to x are not equal.
B.
No, because the table has negative numbers.
C.
Yes, because all the ratios of y to x are equal to -2.
D.
Yes, because all the ratios of y to x are equal to -4.
Answers
10. How many linear feet of cove molding are needed to trim the ceiling of a
12-foot by 16-foot family room?
Answers
Answer:
24 look it up on Google and your welcome I hope I'm right good day
Write 0.0406 in scientific notation
Answers
Answer:
\(4.06 * 10^{-2}\)
Step-by-step explanation:
4.06 x 10^-2
C
7x4 is 8 more than blank x 4
Answers
Answer:
7 × 4 = _5__ × 4 + 8
Step-by-step explanation:
7 × 4 = ___ × 4 + 8
28 = ___ × 4 + 8
20 = ___ × 4
___ = 20/4
___ = 5
7 × 4 = _5__ × 4 + 8
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
Answers
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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Matthew invested $8,000 in an account paying an interest rate of 3 1/8% compounded
continuously. Parker invested $8,000 in an account paying an interest rate of 2 3/4%
compounded annually. To the nearest dollar, how much money would Parker have in
his account when Matthew's money has tripled in value?
Answers
Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.
We have,
For Matthew's investment, the continuous compounding formula can be used:
\(A = P \times e^{rt}\)
Where:
A = Final amount
P = Principal amount (initial investment)
e = Euler's number (approximately 2.71828)
r = Annual interest rate (in decimal form)
t = Time (in years)
In this case,
Matthew's money has tripled,
So A = 3P.
For Parker's investment, the formula for compound interest compounded annually is used:
\(A = P \times (1 + r)^t\)
Where:
A = Final amount
P = Principal amount (initial investment)
r = Annual interest rate (in decimal form)
t = Time (in years)
We need to find t when Matthew's money has tripled in value.
Let's set up the equation:
\(3P = P \times e^{rt}\)
Dividing both sides by P, we get:
\(3 = e^{rt}\)
Taking the natural logarithm of both sides:
ln(3) = rt
Now we can solve for t
t = ln(3) / r
For Matthew's investment,
r = 3 1/8% = 3.125% = 0.03125 (as a decimal).
For Parker's investment,
r = 2 3/4% = 2.75% = 0.0275 (as a decimal).
Now we can calculate t for Matthew's investment:
t = ln(3) / 0.03125
Using a calculator, we find t ≈ 22.313 years.
Now, we can calculate how much money Parker would have in his account at that time:
\(A = P \times (1 + r)^t\)
\(A = $8,000 \times (1 + 0.0275)^{22.313}\)
Using a calculator, we find A ≈ $13,774.
Therefore,
Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.
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Answer:
20,763
Step-by-step explanation:
I saw the answer after I got it wrong
Find five consecutive odd integers if the sum of the first three integers is 3 more than the sum of the last two.
Answers
Answer:
The 5 consecutive odd integers are 11 , 13 , 15 , 17 , 19
Step-by-step explanation:
The Difference between any odd Integer and its consecutive Integer = 2
So let the 3rd Odd Integer be x
Then the 1st Odd Integer is x - 2
and the 2nd Odd Integer is x - 4
and the 4th Odd Integer is x + 2
and the 5th Odd Integer is x + 4
Since the Sum of the 1st three integers is 3 more than the sum of the last two
Then 1st + 2nd + 3rd = 4th +5th +3
Then (x) + (x - 2) + (x - 4) = (x + 2) + ( x + 4) +3
Then 3x - 6 = 2x + 9
subtract 2x from both sides
3x - 2x -6 = 9
x - 6 = 9
Add 6 for both sides
Then x = 9 + 6 = 15
So the 3rd odd Integer is 15
So the five consecutive odd integers are 11 , 13 , 15 , 17 , 19
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
11 yd
13 yd
4 yd
6 yd
Answers
Answer:
34 yd²
Step-by-step explanation:
Area of the shaded region = area of the outer rectangle - area of the inner rectangle
Area of outer rectangle = L*W = 13*6 = 78 yd²
Area of inner rectangle = L*W = 11*4 = 44 yd²
Area of the shaded region = 78 - 44 = 34 yd²
NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answers
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!
find all solutions of x^2-6x+10=0 express in form a+bi
Answers
the solutions of the equation \(x^{2} -6x+10=0\) in terms of a+ib are given by x=3-i and x=3+i.
The given equation is \(x^{2} -6x+10=0\). To find the solution to the equation, we use the quadratic formula.
The expression \(ax^{2} +bx+c=0\) is the quadratic equation of the second degree, where a, b, and c are coefficients, then the quadratic formula is given by, \($x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$\).
Here, \(a=1\), \(b=-6\), and \(c=10\). Substitute all the values in the above formula, and we get
\($x=\frac{-6\pm\sqrt{(-6)^2-4(1)(10)}}{2(1)}$\)
\($x=\frac{-6\pm\sqrt{36-40}}{2}$\)
\($x=\frac{-6\pm\sqrt{-4}}{2}$\)
The squares of the negative real number give an imaginary unit 'i'.
So, the value of \(\sqrt{-4}\) is \(2i\). Then,
\(x=\frac{-6\pm2i}{2}\)
\(x=\frac{2(3\pm i)}{2}}\)
\(x=3\pm i\)
Therefore, the solutions of the equation \(x^{2} -6x+10=0\) in terms of a+ib are given by \(x=3-i\) and \(x=3+i\).
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You can sand 4/9 square yard of wood in 1/2 hour. How many square yards can you sand in 3.2 hours? Justify your answer.
Answers
Answer:
4/9 = 1/2 x
Step-by-step explanation: 2.84 sands
what is the median data set 25, 17, 38, 11,
Answers
Answer:
21
Step-by-step explanation:
Answer:
Median = 21
Step-by-step explanation:
Arrange in ascending order,
→ 11, 17, 25, 38
Now take the middle two,
→ 17 & 25
Then the median data will be,
→ (17 + 25)/2
→ 42/2 = 21
Hence, the median is 21.
If AABC= AMNO, then what corresponding angle is congruent to angle N?
Answers
Answer:
.aabc=amn0#1211
Step-by-step explanation:
nosascoOsasco n=12.8
Question 5(Multiple Choice Worth 2 points)
(Sample Spaces MC)
Julia had a bag filled with gumballs. There were 2 watermelon, 3 lemon-lime, and 5 grape gumballs. What is the correct sample space for the gumballs in her bag?
A) Sample space = watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape, grape, grape, grape, grape
B) Sample space = watermelon, lemon-lime, grape
C) Sample space = 2, 3, 5
D) Sample space = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Answers
The sample space is (a) watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs
How to determine the sample spaceFrom the question, we have the following parameters that can be used in our computation:
2 watermelon, 3 lemon-lime, and 5 grape gumballs
Rewrite the items according to their frequencies
So, we have the following representation
watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs
The above represents the sample space
Hence, the sample space is (a)
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Manipulating Positive Rational Numbers LC)
PLSSSS 100 POINTS WILL MARK BRAINLYEST MY MOM WILL KILL ME IF I DONT ANSWER THIS QUESTION What is 71% written as a fraction?
7 over ten
eighteen over twenty-five
seventy-one over one hundred
seventy-one over one thousand
Answers
Seventy-one over one hundred
You have to think of percentages as the percent over 100, which would be 100%. So, 71% would be 71/100.
For example, 47% is 47/100.
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.) f(x) = cos x, x1 = 0.7
Answers
Answer:
The two iterations of f(x) = 1.5598
Step-by-step explanation:
If we apply Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.
xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)
Given;
f(xₙ) = cos x, then f'(xₙ) = - sin x
cos x / - sin x = -cot x
substitute in "-cot x" into the equation
xₙ₊₁ = xₙ - (- cot x)
xₙ₊₁ = xₙ + cot x
x₁ = 0.7
first iteration
x₂ = 0.7 + cot (0.7)
x₂ = 0.7 + 1.18724
x₂ = 1.88724
second iteration
x₃ = 1.88724 + cot (1.88724)
x₃ = 1.88724 - 0.32744
x₃ = 1.5598
To four decimal places = 1.5598
A box in the shape of a rectangular prism has a volume of 160 cubic inches. The length of the box is 8 in. and the width of the box is 5 in. What is the height of the box?
Answers
Answer:
4 inches
Step-by-step explanation:
h=V/lw
=
160/8x5=4in
Answer:
4 inc
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answers
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
13x + 2 = 41
a. List the steps to form 13x +2.
b. List the steps to solve 13x + 2 = 41.
Answers
Answer:
Step-by-step explanation:
There isn't an exact answer for the first one since there are no like terms. But the steps to get 13x + 2= 41.
You'd have to find x.
In order to find x, you'll need to subtract 2 on both sides
13x + 2 = 41
- 2 = - 2
You'll end up with:
13x = 41
Next step is to divide 13 on both sides.
13x/ 13 = 41/ 13
So, x = 41/ 13
Or simplified to 3.153
Hope this helped !!
Helppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
2
Step-by-step explanation:
( \(\frac{1}{2}\) × 4 ) × 5 - 2³ = 10 - 8 = 2
A company has found that for every 100 cans they have a misprint on 2 cans. if they produce 21850 cans per day how many cans should they predict to have misprint in a day
Answers
Answer:
437
Step-by-step explanation:
21850/100 * 2 = 437
Is {(0,6),(0,-6),(1,5),(1,-5),(7,10)} a function?
Please help
Answers
Answer: Yes, it is a function
Step-by-step explanation:
Write the trigonometric ratio as a simplified fraction.
10. sin B
C9
A
C
6
15 C
B
11. cos A
12. tan A
10.
11.
12.
Answers
The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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