Is a proportional function f(x) = 5x linear? Why or why not? Explain with an example.
Given two variables x and y, y is directly proportional to x (x and y vary directly, or x and y are in direct variation) if there is a non-zero constant k such that
y = kx,
The relation is often denoted, using the ∝ symbol, as
y ∝ x
in this case k = 5/1
The table below gives the dimensions of a bridge
and a scale model of the bridge.
Find the scale factor of the model to the real bridge.
Write your answer as a fraction in simplest form.
Model
Bridge
Width (feet)
5
40
Height (feet)
7
56
Length (feet)
64
Help please and please dont play bc its due in 3 min
Answer:
8
Step-by-step explanation:
40/5 = 8
56/7 = 8
64/8 = 8
The letters in the word
AUGUST are placed into a
bag. What is the probability
of selecting a U?
Amy works at an orange juice stand on Monday she used 1 2/5 bags of oranges on Tuesday she used 1 1/4 times as many oranges as on Monday how many bags did she use on tuesday do you know???
Julie works in a leisure centre. Part of her duties is to prepare personal fitness plans for her clients.
Her April payslip is only partially completed.
Name
Employee No.
Tax Code
Month
J. Bond
007
1060L
April
Basic Pay
Overtime Pay
Bonus
Gross Pay
£1,376
National Insurance
Income Tax
Pension
Deduction
£120.02
£130.98
Net pay
£
what's her gross pay
Answer:
Janelle is applying to work a full-time job next summer. So far, her only paid work experience has involved with babysitting. She's worried that she lacks the skills
£120.02
£130.98
£1,376
Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1 and 3 over 4 pounds of peanuts. The peanuts cost $5.00 per pound. How much will the peanuts in one bag cost?Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1\frac{3}{4} pounds of peanuts. The peanuts cost $5.00 per pound. How much will the peanuts in one bag cost?
Answer:
$8.75
Step-by-step explanation:
STEP TO TAKE TO DETERMINE THE ANSWER
Multiply 13/4 pounds by the cost of one pound of peanut. To do this, convert 13/4 to an improper fraction and then multiply it by $5
[tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]
[tex]\frac{7}{4}[/tex] × 5 = [tex]\frac{35}{4}[/tex] = [tex]8\frac{3}{4}[/tex] = $8.75
An electrician charges $45 for each home visit plus $19.95 every hour he spends working. Which sentence could be used to find C, the cost in dollars for a house visit and h, hours of work ? F. C = 45 + 19.95h G. C = 45h + 19.95 H. C = (45 + 19.95)h J. C = (45 - 19.95)h
Answer:
C= 45 + 19.95h
Step-by-step explanation:
45 for each home vist means one time payment
19.95 ever hour means you are charged 19.95 every hour
H= hour
A culture of bacteria has an initial population of 330 bacteria
and doubles every 8 hours.
what is the population of bacteria in the culture after 17 hours,
to the nearest whole number?
Answer:
1439.4702≈1439
Someone plsnhelpy tysm if you do!:D im new to this thats why :))
Answer:
83 is the answer
Step-by-step explanation:
hope this helps
I NEED HELP ASAP BEFORE MARCH 26
Find the Value of x
Answer:
45
Step-by-step explanation:
Remember that all triangles equal 180. Add 50 and 85. It equals 135. Subtract that from 180 and it equals 45.
(-7,14),(-14,3) slope
Answer:
the slope of the line that lies on those two points is 11/7
Step-by-step explanation:
insert the first point into y=mx+b
14=(-7)m+b
----------------
Do it again with the other point
3=(-14)m+b
-------------
Now put both equations in a system of equations
14=(-7)m+b
3=(-14)m+b
solve for m and b
m=11/7 and b=25
y=11/7x+25
m=slope
b=y-intercept
Hope that helps :)
Please give brainliest
solve the equation 4y-1.9=6.3
Consider △XYZ Triangle X Y Z is shown. Angle X Z Y is a right angle. What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Z EndFraction; tan(Y) = StartFraction Y Z Over X Y EndFraction sin(Y) = StartFraction X Y Over X Z EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction Y Z Over X Z EndFraction sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction sin(Y) = StartFraction Y Z Over X Y EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction
Answer:
[tex]\sin Y= \frac{XZ}{XY}[/tex]
[tex]\cos Y= \frac{YZ}{XY}[/tex]
[tex]\tan Y= \frac{XZ}{YZ}[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y
For angle Y:
[tex]Opposite = XZ[/tex]
[tex]Adjacent = YZ[/tex]
[tex]Hypotenuse = XY[/tex]
The [tex]\sin[/tex] of an angle is calculated as:
[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]
So:
[tex]\sin Y= \frac{XZ}{XY}[/tex]
The [tex]\cos[/tex] of an angle is calculated as:
[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]
So:
[tex]\cos Y= \frac{YZ}{XY}[/tex]
The [tex]\tan[/tex] of an angle is calculated as:
[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]
So:
[tex]\tan Y= \frac{XZ}{YZ}[/tex]
Answer:
C, short answer
Step-by-step explanation:
trust
Someone please help 10 points each Please help me outttt
Answer:
a, 1,<Z b, 1,zy c,XZY
2,<Y 2, zx
3, <X 3, xy
PLEASE HELP 15 POINTS
Find m RS
S
(6x-28)
(4x+ 20)
Answer:
arc RS = 116°
Step-by-step explanation:
Since the 2 chords are congruent then their minor arcs are congruent, that is
SR = TU, substitute values
6x - 28 = 4x + 20 ( subtract 4x from both sides )
2x - 28 = 20 ( add 28 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24
Then
arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°
there are two containers.container A has 2 blue marbles, 3 green marbles and 5 yellow marbles in container A.container B has 2 blue marbles and 4 yellow marbles in container B. witch container has the greater probability of picking yellow?
1: -23 • 5 =?
A; 115
B; -115
C; 105
D; -105
2: -8 • -15 =?
A; -125
B; -120
C; 115
D; 120
3: 75 • 6 =?
A; 420
B; 430
C; 440
D; 450
4: What is the product of 12 and -7?
A; -84
B; -72
C; 72
D; 84
5: What is the product of -24 and -20
A; 460
B; 480
C; -460
D; -480
6: What is the product of -130 and 7?
A; 910
B; 880
C; -910
D; -880
7: Which of the following has a product of 170?
A; (-17)(10)
B; (90)(2)
C; (5)(-34)
D; (-85)(-2)
8: Which of the following has a product of -98?
A; (-2)(-49)
B; (4)(-27)
C; (-7)(14)
D; (-9)(11)
i’ll give brain-ly-est please and thank you in advance
Please help I need the answer it’s due today by 3!!!
Answer:
x=23
Step-by-step explanation:
90 - 65 = 25
25 - 2 =23
What is -7+3z+4z simplified?
Answer:
The answer is 7z-7. Hope this helped!
Step-by-step explanation:
The distance between the points P(–7, 2) and Q(5, –3) is
A. 12 units
B. 13 units
C. 11 units
D. 10 units
Answer:
B. 13 units
Step-by-step explanation:
Hope this helps
Helppp plzzzzzzzzzzz
The answer is B............
Answer:
B
Step-by-step explanation:
Your answer is B because 0 is greater than any negative number. Also, it is a solid line and full dot meaning the less than sign gets a line under it.
Here is a pattern made from sticks
Answer:
7, 12, 17, 22 rule: add 5. 1. 27 2. 32
Step-by-step explanation:
this is your equation all you have to do is count the sticks figure out the rule once done then you add to the numbers you already have based on the rule which is add 5.
What type of angle is ∠1?
obtuse
right
acute
straight
Answer:
acute angle
Step-by-step explanation:
acute angle because it is under 90°
If the angle measure is less than 90 degrees then it's acute, if it is equal to 90 degrees it's right or square, if it's more than 90 degrees it's obtuse, and if it's equal to 180 degrees it's a straight angle but in this case it's straight and obtuse since 180 is greater than 90.
Evaluate. −64125−−−−√3
Answer:
-64123.2679492
Step-by-step explanation:
I'm sorry if this is wrong!
Given that cos 27° = 0.891, enter the sine of a complementary angle.
sin
9514 1404 393
Answer:
sin(63°) = 0.891
Step-by-step explanation:
The cosine of an angle is the sine of its complement. The angle with a sine of 0.891 is 90° -27° = 63°.
sin(63°) = 0.891
Of the males surveyed, what proportion selected small T-Shirt size
Answer:
this question doesn't make sense
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
a. Identify the slope and y-intercept from the information given.
Slope:
y-intercept:
Answer:
Slope: 10
Y-intercept= 30
Step-by-step explanation:
y= mx + b
m = slope
b = y-intercept
y= 10x + 30
Slope: 10
Y-intercept= 30
Which equation represents a proportional relationship that has a constant of proportion nationality equal to 4 - 5
Question:
Which equation represents a proportional relationship that has a constant of proportionality equal to 4/5
Answer:
[tex]y = \frac{4}{5}x[/tex]
Step-by-step explanation:
Required
Equation with 4/5 as its constant of proportion
Two proportional quantities x and y have the following relationship:
[tex]y = kx[/tex]
Where k is the constant of proportion.
In this case:
[tex]k = \frac{4}{5}[/tex]
So.
[tex]y = kx[/tex] becomes
[tex]y = \frac{4}{5}x[/tex]
I need help with this problem
Answer:
A
Step-by-step explanation:
Answer:
A) (4,8) is the correct answer.
Step-by-step explanation:
Step: Solvey=2xfor y:
y=2x
Step: Substitute2xforyiny=x+4:
y=x+4
2x=x+4
2x+−x=x+4+−x(Add -x to both sides)
x=4
Step: Substitute4forxiny=2x:
y=2x
y=(2)(4)
y=8(Simplify both sides of the equation)
Hope this helps!
Hello
Can you help me to do these two exercises please I block on those please it is on the derivatives of a number
Thank you so much in advance!!!
Answer:
First rememeber that if we have a function like:
g(x) = x^n
then:
dg(x)/dx = g'(x) = n*x^(n - 1)
And also if we have:
g(x) = f(x) + h(x)
then:
dg(x)/dx = g'(x) = f'(x) + h'(x)
1) We have the function f(x) = (x + 1)^2
We can rewrite this as:
f(x) = x^2 + 2*x + 1
Using both things written above, we know that:
f'(x) = 2*x + 1*2 = 2*x + 2
And we want to find f'(-2), so we only need to evaluate the above function in x = -2, this is:
f'(-2) = 2*-2 + 2 = -4 + 2 = -2
f'(-2) = -2
b) I suppose that this refers to the inverse function of f(x)
An inverse function is such that:
g( f(x)) = x
f( g(x)) = x
For f(x) = (x + 1)^2
The inverse will be something that first cancels that square, and then subtracts 1.
Then:
g(x) = √x - 1
if we evaluate this in f(x) we get:
g( f(x)) = √(f(x)) - 1 = √(x + 1)^2 - 1 = (x + 1) - 1 = x
Then the inverse function of f(x) is:
g(x) = √x - 1
This can also be written as:
g(x) = x^(1/2) - 1
Then the derivative of this will be:
g'(x) = (1/2)*x^(1/2 - 1) = (1/2)*x^(-1/2) = (1/2)*(1/√x)