Some information about a direct variation is given in the table below. If the equation
of this direct variation is y = kx , find the coefficient k and fill in the missing
information.
Answers
Answer:
Step-by-step explanation:
y = kx ;
k = [tex]\frac{y}{x}[/tex] ; x = [tex]\frac{y}{k}[/tex]
~~~~~~~~~~~~~
k = [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]
[tex]y_{1}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 8 ) = - 4
[tex]y_{2}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 4 ) = - 2
[tex]y_{3}[/tex] = [tex]\frac{1}{2}[/tex] × 2 = 1
[tex]x_{5}[/tex] = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]x_{6}[/tex] = - [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{2}[/tex]
[tex]x_{7}[/tex] = 0
( x , y ) : ( - 8 , - 4 ), ( - 4 , - 2 ), ( 2 , 1 ), ( 1 , [tex]\frac{1}{2}[/tex] ), ( [tex]\frac{2}{3}[/tex] , [tex]\frac{1}{3}[/tex] ), ( - [tex]\frac{1}{2}[/tex] , - [tex]\frac{1}{4}[/tex] ), ( 0 , 0 )
Related Questions
What are the slope and y-intercept of this function?
Answers
[tex]\huge \rm༆ Answer ༄[/tex]
The Correct choice is D
Consider two points (0 , 3) and (2 , -1), now let's find the slope ~
[tex] \sf{ \dfrac{y2 - y1}{x2 - x1} }[/tex][tex] \sf \dfrac{3 - ( - 1)}{0 - 2} [/tex][tex] \sf \dfrac{4}{ - 2} [/tex][tex] \sf - 2[/tex]And as about y - intercept, the point having x - coordinate equal to zero is its y - intercept.
that is ~
[tex] \sf(0 ,3)[/tex]please help me with this also jjodlask
Answers
Answer:
1. 15, 2. -23, 3. 220, 4. 4x-5
Step-by-step explanation:
f(x) = 4x + 3 g(x) = x - 2
1. f(g(5)): Put 5 in as x in g(x) 5 - 2 = 3. Now put the 3 as x into f(x) and solve. 4(3) + 3 = 15
2. g(f(-6)) 4(-6) + 3 = -21. -21 - 2 = -23
3. (f(f(7)) 4(7) + 3 = 31, 31(7) + 3 = 220
4. g(f(x)) 4(x-2) + 3 = 4x - 8 + 3 = 4x - 5
When a function is substituted into another function it is known as a composite function.
Given the following functions:
f(x) = 4x + 3
g(x) = x - 2
Determine [tex]f(g(x)) \ and \ g(f(x))[/tex]
[tex]f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 [/tex]
1) Determine the value of [tex]f(g(5))[/tex]
[tex]f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16[/tex]
2) For the function [tex]g(f(-6))[/tex]
[tex]g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23[/tex]
3) For the value [tex]f(f(7)), [/tex]we need to determine [tex] f(f(x))[/tex]
[tex]f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127[/tex]
4) For the function [tex]g(f(x));[/tex]
[tex]g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1[/tex]
learn more on composite functions here: https://brainly.com/question/10687170
Peter says, "If you subtract 16 from my number and multiply the difference by - 2, the result is
- 34." What is Peter's number?
Answers
P minus 16 and the answer times -2 is -34
-2(P-16) = -34
-2P+32 = -34
-2P = -66
Divide by -2
P is 33.
Check: 33-16 is 17 and 17*-2 is -34. So
P is 33.
Answer:
33
Step-by-step explanation:
Let the number be x,
=> (x - 16) -2 = - 34
=> -2x + 32 = -34
=> -2x = - 34 - 32 (by transposing)
=> -2x = -66
=> x = -66/-2 = 33
Peter's number is 33.
Hope you understood.
18. The angle measures of a triangle are shown in the diagram. What is the value of x?
3x + 8
84
43
Answers
Answer:
15
Step-by-step explanation:
3x + 8 + 84 + 43 = 180
3x + 135 = 180
3x = 45
x = 15
Shivani had 3/10 of a pound of blueberries. Shivani let her friend Rosa eat 1/4 of the
blueberries. How many pounds of blueberries did Rosa eat?
Write your answer as a fraction or as a whole or mixed number.
a
pounds
Answers
Please answer with an explanation
Answers
Answer:
-2(1-2p)
Step-by-step explanation:
-7-4p-(-5)
-(-5)=5
=-7-4p+5
=5-7-4p
=-2-4p
=-2(1-2p)
Acafeteria has two sizes of pizza to serve students during lunch.
The smaller pizza has a 4-inch diameter. What is the area of the smaller pizza?
What did a the area of the smaller pizza
Answers
Answer:
pointsss
Step-by-step explanation:
Answer: 12.56 inches^2 or 4π inches^2 (depending on what format your answer needs to be in)
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^{2}[/tex].
To find the radius (r), divide the diameter of 4 inches by 2. The radius is 2 inches.
Plug this into your equation to get [tex]\pi (2^{2} )[/tex], which can be simplified to 4π inches^2.
If you need your answer as a decimal, input 3.14 for [tex]\pi[/tex] to get an equation of 4 * 3.14. Multiply to get a final answer of 12.56 inches^2.
Consider the line y=-5/4x + 5
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answers
Answer:5
Step-by-step explanation:
I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 12 MINS!
Answers
Answer:
65.214
Step-by-step explanation:
0x100=0
6x10=60
5x1=5
2x(1/10)=0.2
1x(1/100)=0.01
4x(1/1000)=0.004
add all of these values up. hope this helps!
Help please I’ll give Brainly please answer both I’ll give 5 stars and lines
Answers
Answer:
I really cant see the picture that well or, i would help.
Step-by-step explanation:
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees
So, we get
(48-x) + (3x-10) =90
48-x+3x-10=90
-x+3x-10+48=90
2x+38=90
2x+38=90
2x=90-38
2x=52
Divide both sides by 2
52 divided by 2
X=26
Solve the inequality f – 4 ≤ 9 for f
help me.
Answers
Answer:
13
Step-by-step explanation:
Have a great day!! :)
15+25 distributive property
Answers
Answer:
(5 x 3) + (5 x 5)
Step-by-step explanation:
hope thats what your looking for
The length of a rectangle has a measure of x and the width of a rectangle has a measure of (x-2). Find x if the area is 35.
Answers
Answer:
length = 7
pls mark me the brainliest
Step-by-step explanation:
A = Lw
35 = x (x -2)
35 = x2 - 2x
x2 -2x -35 = 0
(x-7)(x+5) = 0
x-7=0
x=7 (we won't use the other factor since it would give us a negative length
so length = 7
5m - 2 represents the statement two less than five times a number
Answers
Answer:
yes
Step-by-step explanation:
The neon lights on the dance club sign blink 240 times in 2 minutes. How many times does the neon sign blink in 10 minutes?
Answers
Answer:
1200 times in 10 minutes.
Step-by-step explanation:
There's 5 amounts of 2 minutes in 10.
Therefore multiply 240 by 5.
24 x 5 = 120 x 10 = 1200 times.
Answer:
If it blinks 240 times in 2 minutes, then you need to multiply 240 and 5. My work is shown below...
2 = 240
2 x 5 = 10
5 x 240 = 1200
This means the neon sign blinks 1200 times every 10 minutes.
Step-by-step explanation:
Have a great day and please mark brainliest!
I need correct answer for this
Answers
Answer:
should be 82%
Step-by-step explanation:
Hope this helps!
Answer:
82%
Step-by-step explanation:
percents are out of 100, so its just multiplied by two
Mai biked 6 3/4 miles today, and Noah bikes 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
Answers
Answer:
Mai's ride is 1.5 times longer than Noah's
Step-by-step explanation:
Can i get some help :
Answers
Answer:
New Price = 1.55c
Step-by-step explanation:
Since we are asked to represent the original cost of the toy as c, and not it's actual cost of ($9.84 - $3.49, or $6.35), I'll assume the question is interested only in the relative price increase. The relative increase is 3.49/6.35 or 55%. The new price is 155% or 1.55 times the original price.
That means we have New Price = 1.55c
How many angles are formed with a pair of parallel lines and a transversal
Answers
Answer:
what i learned was 8 are formed
Step-by-step explanation:
Find the total surface of :
Answers
(pi)196
Now solve for the height,
(10)(196)(pi)
Then it’s 1960(pi)
Now multiply pi, 6157.521
Please help! I highly appreciate it! :D
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Total surface Area of the cuboid is ~
[tex] \sf2(lb + bh + lh)[/tex][tex] \sf2[(12 \times 4) + (4 \times 5) + (12 \times 5)][/tex][tex] \sf2[48 + 20 + 60][/tex][tex] \sf2(128)[/tex][tex] \sf256 \: \: ft {}^{2} [/tex]Surface area = 256 ft^2
Surface area (SA) = Total area on the Surface only
SA of cuboid = Area of rectangle (2 sides) + Area of square (2 sides) + Area of other rectangle (2 sides)
SA = 2(12x5) + 2(4x5) + 2(12x4)
SA = 120 + 40 + 96
SA = 256 ft^2
A car salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $16. Option B is a commission rate on weekly sales, and he averages $6400 in sales each week. What commission rate does he need to have to earn the same amount with the two options?
Answers
10%
since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.
hope this is helpful!
On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What is the map's scale? 1 inch = ______ miles
Answers
Answer:
9
Step-by-step explanation:
[tex]54 \div 6 = 9[/tex]
Divide: (3x³+4x+11)/(x²-3x+2)
Answers
In attachment I have answered this problem.
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 40
pizzas in all, 40% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?
Answers
Answer
16 mushroom pizzas
How much Lilac would earn if she deposited ₱25,000.00 on the bank with 3% interest per year after 5 years?
paki answer po T-T
Answers
Answer:
p= 25000
I=3%
t=5yrs
a= pti÷ 100
25000*3*5÷100
3750
Solve the system of equations.
fequations with
on: potato chips
15x + 3y = -3
equations with
n: -3x-4y=-2 &
2 = -y +3
2=
stems of
with
Y =
Answers
Answer:
y = - 3, x = 6
Step-by-step explanation:
15x + 31y = - 3
x = - y + 3
15(- y + 3) + 31y = - 3
-15y + 45 + 31y = - 3
16y + 45 = - 3
16y = - 48
y = - 3
x = - (- 3) + 3
x = 3 + 3
x = 6
Answer:
x = 6, y = -3.
Step-by-step explanation:
15x + 31y = -3
x = -y + 3
Substitute x = -y + 3 in the first equation:
15(-y + 3) + 31y = -3
-15y + 45 + 31y = -3
16y = -3 - 45 =-48
y = -3.
So x = -(-3) + 3 = 6.
who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
Answers
René Descartes was the person who created analytic geometry and the Cartesian coordinate system
determine if the two triangles are congruent.If they are state how u know
Answers
Answer:
17) Congruent because two sides are congruent and so is the 90 degree vertical angle.
18) Congruent because they have a congruent leg and congruent angle, and they share a side which is congruent to itself. (SAS)
19) Congruent because all three sides are congruent (SSS)
20) congruent, all three sides are the same (SSS)
Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500. What is the tax rate.
Answers
Answer:1.07
Step-by-step explanation: