Answer:
The equation y = -6x + 1 represents the line ⇒ A
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points lie on the line∵ The line passes through points (1, -5) and (3, -17)
∴ x1 = 1 and y1 = -5
∴ x2 = 3 and y2 = -17
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{-17--5}{3-1}[/tex] = [tex]\frac{-17+5}{2}[/tex] = [tex]\frac{-12}{2}[/tex] = -6
∴ m = -6
→ Substitute it in the form of the equation above
∴ y = -6x + b
→ To find b substitute x by 1 and y by -5 in the equation
∵ -5 = -6(1) + b
∴ -5 = -6 + b
→ Add 6 to both sides
∴ 1 = b
→ Substitute it in the equation
∴ y = -6x + 1
∴ The equation y = -6x + 1 represents the line
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)}
A Boeing 737 airplane travels about 500 miles per hour. The function d(t) = 500t represents the number
miles traveled in t hours. How far does the plane travel in 3.5 hours?
A. O 2,579.50 miles
B. 1,500.00 miles
C. 142.86 miles
D. 1,750.00 miles
Answer:
b
Step-by-step explanation:
The distance is 1,750.0 miles if a Boeing 737 airplane travels about 500 miles per hour option (D) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function d(t) = 500t represents the number of miles traveled in t hours.
Plug t = 3.5 hours in the equation of the function.
d(3.5) = 500(3.5)
d(3.5) = 1,750.0 miles
Thus, the distance is 1,750.0 miles if a Boeing 737 airplane travels about 500 miles per hour option (D) is correct.
Learn more about the function here:
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double u, then divide 6 by the result
Answer:
wat 12?
Step-by-step explanation:
Answer:
wat 12????????????????????????
ap calc multiple choice question; attached below
please explain how, please!
Answer:
C. [tex]\frac{f(b)-f(1)}{b-1}=20[/tex]
General Formulas and Concepts:
Calculus
Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]MVT is also Average ValueStep-by-step explanation:
Step 1: Define
[tex]f(x)=e^{2x}[/tex]
f'(c) = 20
Interval [1, b]
Step 2: Check/Identify
Function [1, b] is continuous.
Derivative [1, b] is continuous.
∴ There exists a c∈[1, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]
Step 3: Mean Value Theorem
Substitute: [tex]20=\frac{ f(b)-f(1)}{b-1}[/tex]Rewrite: [tex]\frac{ f(b)-f(1)}{b-1}=20[/tex]And we have our final answer!
A 1970 comic book originally sold for $0.35 has appreciate 10% per year. What will it be worth this year? Round to the nearest cent.
Answer:
$41.09 (as of 2020)
Step-by-step explanation:
i took the test
Can you help me with #6??
(Algebra 1 sucks..)
Answer:
37
Step-by-step explanation:
Use the given functions to set up and simplify
simplify radical expression with variables. please helping super confused
Answer:
Work shown below!
Step-by-step explanation:
[tex]\sqrt{14*4xy^{10/2}z^{5/2} }=2y^{5}z^{2} \sqrt{14xz}[/tex]
What do you call the number that you divide by?
Answer:
the number that you divide by is called the dividend and the number which the dividend is being divided by is the divisor.
surface area of a net
Answer:
Step-by-step explanation:
This is really a sloppy diagram. You have to know if the base of the triangle is 5 or 10.
It is 5. So the area of 1 of the triangles is 1/2 * b * h
b = 5
h = 8.7
Area = 1/2 * 8.7 * 5 = 21.75
There are 4 such triangles. The total area = 4 * 21.75 = 87 sqr in
Sally is making bouquets of flowers with the ratio of red to white flowers being 2:3. If Sally used 12 red flowers, how many white flowers will she use?
Answer:
18 white flowers
Step-by-step explanation:
We are given ratio:
Red : White
2 : 3
If Sally used 12 red flowers, how many white flowers will she use?
Let the number of white flowers Sally uses be represented by x
This is calculated as:
2/3 = 12/x
Cross Multiply
2 × x = 3 × 12
x = 3 × 12/2
x = 18 white flowers
Therefore, if Sally used 12 red flowers, the number of white flowers will she use is 18 white flowers.
Suppose that the marginal profit function for a certain product is P'(x)=300-0.15x^2, and the profit at a production level of 0 is P(0)=-1200. Find the profit function P(x)
9999999Answer:
Step-by-step explanation:
For the coins
Write the equation in slope-intercept form.
It's the second one.
Brainliest please!
Answer:
y=3x
Step-by-step explanation:
The perimeter of the rectangle below is 112 units. Find the length of side VW . Write your answer without variables. Top YX: 4z Left YV: 5z + 2 Right XW: (blank) Bottom VW: (blank)
Answer:
[tex]VW = 33[/tex]
Step-by-step explanation:
See attachment for complete question
Given
[tex]VY = 4x - 1[/tex]
[tex]VW = 5x + 3[/tex]
[tex]Perimeter = 112[/tex]
Required
Determine the length of VW
Perimeter is calculated as:
[tex]Perimeter = 2 * (Width + Length)[/tex]
This gives:
[tex]Perimeter = 2 * (VW + VY)[/tex]
Substitute values for VW, VY and Perimeter
[tex]112 = 2 * (4x - 1 + 5x + 3)[/tex]
Collect Like Terms
[tex]112 = 2 * (4x + 5x -1 +3)[/tex]
[tex]112 = 2 * (9x +2)[/tex]
Divide through by 2
[tex]56 = 9x + 2[/tex]
Collect Like Terms
[tex]9x = 56 - 2[/tex]
[tex]9x = 54[/tex]
[tex]x = 54/9[/tex]
[tex]x = 6[/tex]
Substitute 6 for x in [tex]VW = 5x + 3[/tex]
[tex]VW = 5 * 6 + 3[/tex]
[tex]VW = 30 + 3[/tex]
[tex]VW = 33[/tex]
Expression
Factorization
Correct?
2x² + 7x+3
Not yet
6x2 + 13x + 6
Not yet
2x² – 3x - 9
Not yet
Answer:
Step-by-step explanation:
(x + 3)(2x + 1)
(2x + 3 )(3x + 2)
(x - 3)(2x + 3)
What is the slope of the line that passes through the points (-9, 2)(−9,2) and (1, 27) ?(1,27)? Write your answer in simplest form. 1
Answer:
pls mark brainliest if possible:
slope is 1.5
Step-by-step explanation:
Slope = rise over run = (y2-y1)/(x2-x1)
choose y2 and corresponding x-coordinate is x2. If we choose 27 as y2, then:
x2 = 1
x1 = -9
y1 = 2
then plug everything into the equation
(27-2)/(1-(-9))
=15/10
= 1.5
slope is 1.5
hope this helps!
A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?
Also, A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?
Answer:
The sequence is an Arthemtic ProgressionAn=A1+(n-1)d
A1 is first term, An is nth term, n is number of term, and d is common difference
therefore
A4=35, A1= -17
A4=A1+(4-1)d
35= -17+3d
35+17=3d
52=3d
52/3=3d/3
14=d
common diffrence(d)=14
The general solution is given byAn= -17+(n-1)14
An= -17+14n-14
An= -31+14n
An= 14n-31
A14 term, means n=14
From An=A1+(n-1)d
A14= -17+(14-1)14
= -17+(13×14)
= -17+182
= 165.
Therfore, the 14th term is 165.
2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?
solution
common ratio(r)=4/5
eighth term(G8)=393216/3125
From Gn= G1r^(n-1)
G8 means n=8
G8=G1r^(n-1)
393216/3125=G1(4/5)^(8-1)
393216/3125=G1(4/5)^7
G1=(393216/3125)/(4/5)^7
G1=600
The first term is given by G1=600
ThereforeThe General equation is given by
The General equation is given by Gn= 600(4/5)^(n-1)
3rd term (G3)
G3= G1(4/5)^(3-1) where n=3,
=600(4/5)^2
=600(16/25)
=384
Therefore, the 3rd term is given by G3= 384.
I have made some Corrections i messed up somewhere.
what's the midpoint of (0,9) and (10,5)
Answer:
[tex](5,7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (0, 9)
Point (10, 5)
Step 2: Find midpoint
Substitute: [tex](\frac{0+10}{2},\frac{9+5}{2})[/tex]Add: [tex](\frac{10}{2},\frac{14}{2})[/tex]Divide: [tex](5,7)[/tex]Step-by-step explanation:
Hey there!
Given points are: (0,9) and (10,5)
Then;
Using midpoint formula;
[tex](x,y) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Put all values.
[tex](x,y) = ( \frac{0 + 10}{2} , \frac{9 + 5}{2} )[/tex]
Simplify it.
[tex](x,y) = (5,7)[/tex]
Therefore, the midpoint is (5,7)
Hope it helps...
Can someone help me with this I will give a brainliest for it
Answer:
What do I help you with?
Step-by-step explanation:
What is the sum of the integers between the square root of 30 and the square root of 90
Answer:
[tex]\sqrt{30}+ 3\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{90}=\sqrt{9}*\sqrt{10} =3\sqrt{10} \\\\\\\sqrt{30}+ 3\sqrt{10}[/tex]
what is a good calculator that will give you the points to linear inequality systems?
Answer:
I would just recommend you using M A T H W A Y and paying for the measly little $9.99 for the step-by-step answers.
Step-by-step explanation:
Or desmos would work but I would highly recommend m a t h w a y
Simplify the expression:
m - 1/6 - 4m + 5/6
Answer:
-3m+2/3. 2/3 is a fraction
Step-by-step explanation:
Multiple choice: Which of the following angles, when drawn in
standard position, would not be coterminal with an angle that
measures 270°?
(1)-90°
(3) 630°
(2) 990°
(4) 720°
Answer:
Step-by-step explanation:
4
The angle that should be drawn in standard position, would not be coterminal with an angle that measures 270° should be 720 degrees.
What is coterminal?Coterminal angles refer to the angles in standard position where angles should be along with the initial side on the positive x-axis that have a common terminal side.
Therefore, The angle that should be drawn in standard position, would not be coterminal with an angle that measures 270° should be 720 degrees.
Learn more about an angle here: https://brainly.com/question/17688754
Approximate the value of 5 pie
Answer:
15.71Step-by-step explanation:
5*π = 15.7079633
15.7079633 rounded to the nearest hundredth is 15.71
give me brainliest please
9) Molly bought a magazine for $2 and four
notepads. She spent a total of $10. How
much did each notepad cost?
Solve each inequality.
A ticket printer made 450 tickets in 9 minutes. Another ticket printer made tickets for 5 minutes at twice the rate of the first printer.
How many tickets did the second ticket printer make?
Answer:
500
Step-by-step explanation:
Rate at which first ticket printer works is 450/9 = 50 tickets per minute
Speed of second ticket printer is twice than that of the first.
So, speed of second printer is 100 tickets per minute.
In 5 minutes,second printer made 500 tickets
Which algebraic expression represents the phrase “fourteen increased by a number”?
Answer: 14 + x
Step-by-step explanation:
The number 14 is given. The number being added to 14 is unknown. Thus, we can assign it a variable. I have chosen x. Add x (or any variable representing a number) to 14, for the expression 14 + x.
He prime factorization of a number is 2 cubed times 3 squared times 5. Which is a true statement about the factors of the number? Fifteen is a factor of the number because both 3 and 5 are prime factors. Fifteen is not a factor of the number because 15 is odd and the number is even. Sixteen is a factor for the number because 2 cubed = 8 and 16 is divisible by 8. Sixteen is not a factor of the number because the exponent of 2 is not even.
Answer:
Fifteen is a factor of the number because both 3 and 5 are prime factors.
Step-by-step explanation:
The computation is shown below:
The cube of 2 is
= 2^3
= 8
The square of 3 is
= 3^2
= 9
Now if we multiplied the 3 digits that it would be
= 8 × 9 × 5
= 360
As we know that the 15 is a factor of 360
Therefore the first option is correct
i.e.
Fifteen is a factor of the number because both 3 and 5 are prime factors.
And all the other options are incorrect
Answer:
15 and 35
Step-by-step explanation:
Which on is correct?
Answer:
Congruent
Step-by-step explanation:
hello can someone help me find the answer to W in this equation -12 = 9 - 3w
Answer:
w=7
Step-by-step explanation:
-12=9-3w
3w-12=9
3w=21
w=7
-12=9-21=-12
-12=-12
Answer:
X=7
Step-by-step explanation:
-12=9-3w
Subtract nine from both sides
-12=9-3w
-9. -9
-21=-3w
Divide by -3
-21/-3=7
X=7
Type SSS, SAS, ASA, AAS, HL to justify why the two larger triangles are congruent.
AD = BC
The required triangle ADB and ABC, are congruent triangles by SAS postulate of congruency.
What is congruent geometry?In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
Consider triangle ADB and ABC,
AB = AB [common side between the two triangles]
∠A = ∠B [Both angles have an equal measure of 90°]
AD = BC [Given in the question]
So, both triangles are congruent triangles by the SAS postulate of congruency.
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