Answer:
The answer is C
Step-by-step explanation:
Why does the problem of finding the "zeros" (the inputs where a function assumes the value of zero OR the value inputs for which the function is equal to zero) of a function receive such disproportionate attention in ALGEBRA?
(D) is wrong because zero is not the minimum value that a function can assume. A function could assume or be equal to a negative number or term and negative figures are less than zero.
The answer is (C) because knowing the zeros of a function allows you to determine the end behaviour of the function and the vertical & horizontal asymptotes on a graph/cartesian plane.
given the following functions f(x) and g(x), evaluate (gºf)(-2). Enter answer.
f(x)=2x^2+2x-5
g(x)=-1/-4x+6
Answer:
the composition results in [tex]\frac{23}{4}[/tex]
Step-by-step explanation:
Assuming that what you typed for function g is correct (looks a bit peculiar, but we will use it as typed):
[tex]g(x)=-\frac{1}{-4x} +6[/tex]
gof(-2) can be understood as: g(f(-2)), so what we need to do is to find the value for f(-2) using its given expression, and using then the obtained value as input for g(x):
[tex]f(x)=2x^2+2x-5\\f(-2)=2\,(-2)^2+2\,(-2)-5\\f(-2)= 8-4-5\\f(-2)= -1[/tex]
So, we now evaluate g(-1):
[tex]g(x)=-\frac{1}{-4x} +6\\g(-1)= -\frac{1}{-4(-1)} +6\\g(-1)= -\frac{1}{4} +6\\g(-1)=\frac{23}{4}[/tex]
Which graph represents the inequality 3y-5x<-6?
Answer:
First Graph
Step-by-step explanation:
3y-5x<-6
3y<5x-6
y<5/3x-6/3
y<5/3x-2
plug in the coordinates (0,0)
0<0-2
0<-2
0 is not less than -2
therefore the graph would be shaded opposite of (0,0)
Determine whether each set {p1,p2} is a linearly independent set in P3.
1. The polynomials p1 (t) = 1 + t2 and p2(t) = 1 - t2.
2. The polynomials p1 (t) = 2t + t2 and p2(t) = 1 + t.
3. The polynomials p1(t) = 2t - 4t2 and p2(t) = 6t2 - 3t.
Answer:
1) The polynomials [tex]p_{1}(t) = 1 +t^{2}[/tex] and [tex]p_{2}(t) = 1-t^{2}[/tex] are linearly independient, 2) The polynomials [tex]p_{1}(t) = 2\cdot t +t^{2}[/tex] and [tex]p_{2}(t) = 1+t[/tex] are linearly independent, 3) The polynomials [tex]p_{1}(t) = 2\cdot t - 4\cdot t^{2}[/tex] and [tex]p_{2}(t) = 6\cdot t^{2}-3\cdot t[/tex] are linearly dependent.
Step-by-step explanation:
A set is linearly independent if and only if the sum of elements satisfy the following conditions:
[tex]\Sigma_{i=0}^{n} \alpha_{i} \cdot u_{i} = 0[/tex]
[tex]\alpha_{0} = \alpha_{1} =...=\alpha_{i} = 0[/tex]
1) The set of elements form the following sum:
[tex]\alpha_{1}\cdot p_{1}(t)+\alpha_{2}\cdot p_{2}(t) = 0[/tex]
[tex]\alpha_{1}\cdot (1+t^{2})+\alpha_{2}\cdot (1-t^{2}) = 0[/tex]
[tex](\alpha_{1}+\alpha_{2})\cdot (1) +(\alpha_{1}-\alpha_{2})\cdot t^{2} = 0[/tex]
From definition this system of equations must be satisfied:
[tex]\alpha_{1} + \alpha_{2} = 0[/tex] Eq. 1
[tex]\alpha_{1}-\alpha_{2} = 0[/tex] Eq. 2
From Eq. 2:
[tex]\alpha_{1} = \alpha_{2}[/tex]
In Eq. 1:
[tex]2\cdot \alpha_{1} =0[/tex]
[tex]\alpha_{1} = 0[/tex]
[tex]\alpha_{2} = 0[/tex]
The polynomials [tex]p_{1}(t) = 1 +t^{2}[/tex] and [tex]p_{2}(t) = 1-t^{2}[/tex] are linearly independient.
2) The set of elements form the following sum:
[tex]\alpha_{1}\cdot p_{1}(t)+\alpha_{2}\cdot p_{2}(t) = 0[/tex]
[tex]\alpha_{1}\cdot (2\cdot t+t^{2})+\alpha_{2}\cdot (1+t) = 0[/tex]
[tex]\alpha_{2}\cdot (1) +(2\cdot \alpha_{1}+\alpha_{2})\cdot t +\alpha_1 \cdot t^{2} = 0[/tex]
From definition this system of equations must be satisfied:
[tex]\alpha_{2} = 0[/tex]
[tex]2\cdot \alpha_{1}+\alpha_{2} = 0[/tex]
[tex]\alpha_{1} = 0[/tex]
The polynomials [tex]p_{1}(t) = 2\cdot t +t^{2}[/tex] and [tex]p_{2}(t) = 1+t[/tex] are linearly independent.
3) The set of elements form the following sum:
[tex]\alpha_{1}\cdot p_{1}(t)+\alpha_{2}\cdot p_{2}(t) = 0[/tex]
[tex]\alpha_{1}\cdot (2\cdot t-4\cdot t^{2})+\alpha_{2}\cdot (6\cdot t^{2}-3\cdot t) = 0[/tex]
[tex](2\cdot \alpha_{1}-3\cdot \alpha_{2})\cdot t + (-4\cdot \alpha_{1}+6\cdot \alpha_{2})\cdot t^{2} = 0[/tex]
From definition this system of equations must be satisfied:
[tex]2\cdot \alpha_{1}-3\cdot \alpha_{2} = 0[/tex] (Eq. 1)
[tex]-4\cdot \alpha_{1}+6\cdot \alpha_{2} =0[/tex] (Eq. 2)
It is easy to find that each coefficient is multiple of the other one, that is:
[tex]\alpha_{1} =\frac{3}{2}\cdot \alpha_{2}[/tex] (From Eq. 1)
[tex]\alpha_{1} = \frac{6}{4}\cdot \alpha_{2}[/tex] (From Eq. 2)
[tex]\alpha_{1} = \frac{3}{2}\cdot \alpha_{2}[/tex]
Which means that polynomials [tex]p_{1}(t) = 2\cdot t - 4\cdot t^{2}[/tex] and [tex]p_{2}(t) = 6\cdot t^{2}-3\cdot t[/tex] are linearly dependent.
Which expression is equivalent to 2(n - 7) - 3(2 -6n)
20(n - 1)
Step-by-step explanation:2(n - 7) - 3(2 -6n) =
= 2n - 14 - 6 + 18n
= 20n - 20
= 20(n - 1)
The value of the equation A = 2(n - 7) - 3(2 -6n) is
A = 20 ( n- 1 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
Now , the equation A = 2( n - 7 ) - 3( 2 - 6n )
The equation can be simplified as
A = 2(n) - 2(7) - 3(2) + 3(6n)
A = 2n - 14 - 6 + 18n
Now , on adding the similar terms in the equation , we get
A = 2n + 18n - ( 14 + 6 )
A = 20n - 20
Taking the common term of 20 , we get
A = 20 ( n - 1 )
Therefore , the value of A is 20 ( n - 1 )
Hence , The value of the equation A = 2(n - 7) - 3(2 -6n) is A = 20 ( n- 1 )
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ5
Angles that are supplementary
Answer:
Two angles are said to be supplementary when they add up to 180°.
Answer:
Angles are supplementary if the add up to 180 degrees
Step-by-step explanation:
So many different angles can be supplementary.
Examples:
Ajacent Angles
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
And a few other angles
Hope This Helps :)
From the site a certain ramp has a right triangular shape its height is 30 cm and it’s horizontal length is 3 m what calculation will give us the estimated length of the ramp in meters
Answer:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Step-by-step explanation:
C is the horisontal and a or b can be the height, plug in the numbers and you solve for length.
Answer:
(sqr) 30^2/100^2+3^2
Step-by-step explanation:
Help me please i dont understand :(
A rectangle is 5 times as long as it is wide. If the area is 45 square feet, find its perimeter.
Answer:
225 sq ft
Step-by-step explanation:
If the rectangle is 5 times as long as it is wide and the area is 45 sq ft then that would make it 225 sq ft. Happy to help!
9 pencils cost 7.74 what is the equation of the cost of 6 pencils
Answer:
6 pencils cost $5.16.
Step-by-step explanation:
1. Find the cost of one pencil.
Divide: $7.74 ÷ 9 = $0.86 for one pencil
2. Multiply 0.86 by 6
$0.86 × 6 = $5.16
Answer:
2/3 multiply with 7.74
=5.16
Solve for t.
-1 (t + 8) = -1.7
Answer:
t=-6.3
Step-by-step explanation:
-1 (t + 8) = -1.7
-1*t+-1*8=-1.7
-1t-8=-1.7
+8 +8
-1t=-1.7+8
-1t=6.3
-1t/-1=6.3/-1
t=-6.3
I hope this helped you.
Please mark Brainliest.
Have a great day!!!!!!!!
Answer: -6.3
Step-by-step explanation:
distribute whats in the parenthesis and you should get -1t-8= -1.7add 8 on both sides... -8 should cancel out with the positive 8 and you should get 6.3 when solving for -1.7+8. Drop your -1t divide -1 on both sides and the answer should be -6.3let me know if you have any questions
A report on Americans' attitudes toward teachers' pay found that 82% of the respondents to the survey upon which the report is based think that teachers don't make enough money. Which factor is most relevant when evaluating this report? A. 49% of the respondents were women. B. 78% of the respondents were married. C. 51% of the respondents were men. D. 62% of the respondents were educators.
Answer:
I think the answer is A. 49% of the respondents were women
Find the midpoint of the segment with the following endpoints.
(5,9) and (0,3)
Answer:
(5/2, 6)
Step-by-step explanation:
(x, y)=[(5+0)/2, (9+3)/2]
(x, y)=[5/2, 12/2]
(x, y)=(5/2, 6)
The Midpoint of the Line Segment that has the endpoints (5,9) and (0,3) is (5/2,6).
What is the line segment?In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.
Now it is given that,
The endpoints of line segment is (5,9) and (0,3)
So, x₁ = 5
y₁ = 9
x₂ = 0
y₂ = 3
Let (x,y) be the midpoint of segment .
∴To find the midpoint of segment we have,
(x,y) = {[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}
Put the values, we get
(x,y) = (5+0)/2 , (9+3)/2
solving them,
(x,y) = {(5/2) ,(12/2)}
or,
(x,y) = (5/2,6)
which is the required midpoint of the line segment.
Hence,the Midpoint of the Line Segment that has the endpoints (5,9) and (0,3) is (5/2,6).
To learn more about midpoint of line segment :
brainly.com/question/12774890
#SPJ2
What is an equation of the line that passes through the points (3, 4) and (4, 6)?
Answer:
____________
y = 2x - 2
____________
I think this is correct
here's it plotted
Answer
y = 2x - 2
Step-by-step explanation
Algebra questions.
if x=3 then 2x3-2=4
So if it WAS 3 then Y would be 4
Write a story that includes both integers -10 and 12.
Answer:
In Alaska, it was -10 degrees in the morning and rose by 12 degrees.
Step-by-step explanation:
A square has the following vertices. Find the area of the square.
(-7,-5), (-4,-2), (-1,-5), (-4,-8)
(1 point)
O V18 square units
O 18 square units
O V6 square units
O 6 square units
Answer:
18 square units
Step-by-step explanation:
Since the shape is a square lets find the distance between two close point then square the distance to find the answer.
Lets take the point (-7,-5), (-4,-2)
Distance= √((y2-y1)²+(x2-x1)²)
Distance= √((-2--5)²+(-4--7)²)
Distance= √((-2+5)²+(-4+7)²)
Distance= √((3)²+(3)²)
Distance= √(9+9)
Distance= √18 units
Area= distance ²
area= √18²
Area= 18 square unit
L1 : y = 2x , (2) find the equation of the line L2 perpendicular to L1 passing through the point P = (1, 2).
Answer:
2y+x = 5Step-by-step explanation:
Given the line L1 as y = 2x perpendicular to an unknown line L2 passing through the point P = (1, 2), we are to find the equation of line L2. to find the equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)
m is the slope of the unknown line
(x₀, y₀) is the given point.
First is to get the slope of the known line:
comparing the line L1: y = 2x with the standard equation of the line y = mx+c, it can be seen that m = 2
Then we will calculate the slope of the required line.
Since L1 is perpendicular to L2, the product of their slope will be -1 i.e
mm₁ = -1 where m₁ is the slope of the required line L2.
Given m =2
m₁ = -1/m
m₁ = -1/2
Finally we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;
y-y₀ = m(x-x₀)
Given (x₀, y₀) = (1,2) and m₁ = -1/2
y-2 = -1/2(x-1)
open the parenthesis
y-2 = -x/2+1/2
multiply through by 2:
2y-4 = -x+1
2y+x = 1+4
2y+x = 5
Hence the equation of the line L2 is 2y+x = 5
Twice a number is at most 36.
Answer:
18?
Step-by-step explanation:
I need some help with this question. "A scale drawing of a school bus has a scale of an inch to 5 feet. If the length of the school bus is in inches on the scale drawing, what is the actual length of the bus?"
Answer:
45 Feet
Step-by-step explanation:
4.5 divided by 0.5=9
9 times 5=45
Hoped this helped!
Need help on this one. Sort of confused.
Answer:
I'm just as confused as you lol
Solve
LaTeX: \frac{-x}{3}<5
Answer:
x > -15
Step-by-step explanation:
-x / 3 < 5
(-x / 3) * 3 < 5 * 3
-x < 15
x > -15 (Remember to flip the sign when multiplying or dividing an inequality by a negative number.)
Answer:
49
Step-by-step explanation:
Andre and Morgan are both headed to Florida for vacation. Andre will drive 70 miles per hour. Morgan will drive 55 miles per hour but will leave 3 hours earlier than Andre. How many hours will Morgan have been driving before Andre catches up with her?
Answer:
14hours
Step-by-step explanation:
Since Andre and Morgan are both heading to the same location i.e Florida, they will have the same distance.
Distance = Speed × Time
For Morgan:
His speed = 55mi/hr
Let his time = x
Distance covered by Morgan = 55x
For Andre
His speed = 70mi/hr
Time = x-3 (since morgan leaves 3 hours earlier than Andre)
Distance covered = 70× (x-3) = 70(x-3)miles
Since they are driving towards the same location;
55x = 70(x-3)
55x = 70x-210
55x-70x = -210
-15x = -210
x = 210/15
x = 14
Hence Morgan will have been driving 14hours before Andre catch up
7.
A dental office starts the month with 2,258 latex examination gloves. At month's end,
784 gloves remain. How many gloves were used?
What the hello does this mean -----> 42 × 10 = 10 – 4 × 70
Answer:
whatever 42 times 10 equals, it also equals what ten minus 4 times seventy is
Step-by-step explanation:
so both 42 × 10
and 10 – 4 × 70
EQUAL
420
(pffft 420....sorry its funny)
Answer:
Associative properties
Step-by-step explanation:
42 x 10 = 420
(10-4)=6
6 x 70 = 420
Sofia invests her money in an account paying 7% interest compounded semiannually. What is the effective annual yield on this account? Enter your response as a percentage rounded to two decimal places and omit the percentage sign
Answer:
7.12
Step-by-step explanation:
The formula for the effective annual yield is given as:
i = ( 1 + r/m)^m - 1
Where
i = Effective Annual yield
r = interest rate = 7% = 0.07
m= compounding frequency = semi annually = 2
i = ( 1 + 0.07/2)² - 1
i = (1 + 0.035)² - 1
= 1.035² - 1
= 1.071225 - 1
= 0.071225
Converting to percentage
0.071225 × 100
= 7.1225%
Approximately to 2 decimal places = 7.12
Therefore, the annual effective yield = 7.12
Find the volume of the shipping box using the two methods and show your work: Packing cubes Using the volume formula Explain how both methods provide the same measurement of volume for the shipping box.
Answer:
Volume is the measure of how big an object is in three dimensions, so the volume of a box measure how much room there is inside of the box. To find it, you need to make a few simple measurements of length, width, and height, and then multiply them.
Step-by-step explanation:
(10x^4+5x^3+4x^2-9)(x-1)
Answer:
10x3 - 5x2 + 9x - 9
Step-by-step explanation:
10x4 + 5x3 + 4x2 - 9
Simplify ————————————————————
x + 1
Answer:
10x^5 - 5x^4 - x^3 - 4x^2 - 9x + 9
Step-by-step explanation:
(10x^4+5x^3+4x^2-9) × (x-1)
10^5 - 10x^4 + 5x^4 -5x^3 +4x^3 - 4x^2 -9x + 9
Collect Like terms
10^5 - 10x^4 + 5x^4 -5x^3 +4x^3 - 4x^2 -9x + 9
10^5 - 5x^4 -x^3 - 4x^2 -9x + 9
Final Answer
10x^5 - 5x^4 - x^3 - 4x^2 - 9x + 9
soIve: 12 = -4(-6x - 3)
x = -0.625
x = -0.375
x = -2
x = 0
Answer:
The answer is "x = 0"
Step-by-step explanation:
Step-by-step explanation: Hope this answer is helpful...
Make me as brainliest...
1. Find the value of the expression.
7755 • 21
Answer:
you can just calculate the answer
Step-by-step explanation:
on a calculated put 7766 times 21 and that will be your answer
Write a number (in standard form) that has the digit 7 in the thousands place. Use the digit 7 only once.
Answer:
7123
Step-by-step explanation:
The only requirement is to have 7 in the thousands place, which I've done, and the rest of the numbers can be any number you choose!
Simplify the given expression below:
(-5 + 3i) times(1 - 2i)
Answer:
Step-by-step explanation:
Hello,
[tex](-5+3i)\times(1-2i)=-5(1-2i)+3i(1-2i)\\\\=-5+10i+3i-6i^2\\\\=-5+13i+6\\\\\boxed{=1+13i}[/tex]
Thanks
Answer:
Same answer as the other person, it is 1 + 13i
Step-by-step explanation:
They were first and is right so I don't think I have to put down a explanation! ^^
Please 5 stars and thank me if I'm right! -w-