Is a proportional function f(x) = 5x linear? Why or why not? Explain with an example.

Answers

Answer 1

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


Related Questions

78 is 65% of what number (can someone explain how to solve this?)

Answers

Answer:

120

Step-by-step explanation:

78 is 65% of what number.

Let's break down this expression.

In this case "is" means "equals" so we will use the equal sign (=)

65% can be written as 0.65 or 65/100

"of" indicates multiplication

"what number" will be represented by x.

Now, put this all together.

78 = 0.65 • x

To solve for x, divide both sides by 0.65

120 = x

This is your answer.

Check this by finding 65% of 120.

0.65 • 120 = 78

Your answer is correct.

Hope this helps!

One of the legs of a right triangle measures 1 cm and its hypotenuse measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

3.9 cm

Step-by-step explanation:

One of the legs of a right triangle measures 1 cm and its hypotenuse measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

We can solve the above question using Pythagoras Theorem

Hypotenuse ² = Opposite ² + Adjacent ²

From the above question

Hypotenuse = 4 cm

1 leg = Opposite = 1 cm

Other leg = Adjacent = x

Hence

4² = 1 ² + x²

x² = 4² - 1²

x = √ 16 - 1

x = √15

x = 3.8729833462 cm

Approximately to the nearest tenth = 3.9 cm

The measure of the other leg is 3.9 cm

1) plot the point with coordinates (3,2) label this point A

b) write down the coordinates of the midpoint of BC​

Answers

alright so for the first one all you need to do is put a thicc dot. you’re going to start at 0 or the very middle, and then go right and then up 2. the thicc dot should be in the top right box ok.

for the second question the midpoint of B and C is (-1,0)

;))) have a good day

Meg and Theo each thought of five numbers. Meg's first number was 0, and so was Theo's. Meg added 2 each time to get her other numbers, and Theo added 4 each time. Which statement correctly compares Theo and Meg'snumbers? A Each of Theo's numbers is 2 more than Meg's corresponding number, because Theo adds 2 more than Meg to get the next number. B Each of Theo's numbers is half of Meg's corresponding number, because Theo adds half as much as Meg to get the next number. C Each of Theo's numbers is 4 more than Meg's corresponding number, because Theo adds 4 each time to get the next number. D Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.

Answers

Answer:

D. Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.

Step-by-step explanation:

Meg = 0, 2, 4, 6, 8

Theo = 0, 4, 8, 12, 16

Second number of Theo is 4 which is double of 2 (Meg second number)

This applies to the third, fourth and fifth number of Theo

Therefore,

Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.

Help!
This is for Patterns, Functions, and Algebra!

Answers

Answer:

C.

Step-by-step explanation:

The answer is C

can someone fill this for me?

Answers

Answer:

6.2 by the power of 0 pulse 3

Step-by-step explanation:

hii please help i’ll give brainliest!!

Answers

Answer:

third one i think soo ( a push or pull acting on an object )

diagram not drawn to scale
please helppp

Answers

Answer:

144?

Step-by-step explanation:

1.
a.
A cookie recipe uses 3 cups of flour to make 15 cookies. How many cookies can you make
with this recipe with 4 cups of flour? (Assume you have enough of the other ingredients.)
b.
A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how
much tape would the teacher need to hang up 10 student projects?

Answers

Answer:20 cookies

Step-by-step explanation:

Number of accounts managed
by each sales manager at Force Inc.
Box plot
30
40
50
60
70
80
90
100
What percent of sales managers at Force Inc, manage fewer than 35 accounts?

Answers

i belive to be 788 or kot ido

Answer:

Step-by-step explanation:

it is 20493

SOLVE FOR X

plz this is like the 5th time i ask, plz don’t respond with links

Answers

Answer: I used the Pythagorean theorem and got 6.24, but if I was supposed to use another method, just let me know.

The formula is a^2+b^2=c^2

a=5

c=8

b=?

5^2+b^2=8^2

25+b^2=64

b^2=39

b=6.24,

(If it doesn't work, put x=6.24, x=-6.24. It can be both technically, but most teachers ask only for the first one. )

HELP ME NOW ASAP PLEASE

Answers

Answer:

D. There are points on the graph with the same [tex]x[/tex]-coordinate but different [tex]y[/tex]-coordinate.

Step-by-step explanation:

A relation is a function if and only if each element of the range, corresponding with y-axis, is associated with only one element of the domain, corresponding with x-axis. In this case, the graphed relation is not a function, since for all element of the domain, except 0, are related to two distinct elements of the range.

Hence, correct answer is D.

What is the volume of a cube with 1/2
inch sides?


Answers

Answer:

1/8 in.

Step-by-step explanation:

1/2*1/2*1/2=1/8

PLEASE HELP ASAPPPPPP!!!!!!!!!!!!

Answers

Answer:

324

Step-by-step explanation:

divide 752 by 2 to get 376

then subtract 52 from 376 to get 324

Find the circumference of a circle with an area of 1809.56 square centimeters

Answers

Answer:

150.8cm

Step-by-step explanation:

Area= π r²

make r subject of the formula

A = π r²

A/π= πr² (dividing both sides by π)

r²= A/ π

r =

[tex] \sqrt{ \frac{a}{\pi} } [/tex]

r=√(1809.56)/(π)

r=√576.0008

r≈24cm

:. circumference= 2π r

= 2× π × 24

=150.7964

≈150.8cm

A = 6x – 2
B = 4x + 48

Answers

Answer:

X=25

angle A=148

Step-by-step explanation:

since they are alternating angles

A=B

6x-2=4X+48

solve for X

6x-4x=48+2

2x=50

X=25

angle A= 148

Answer:

148

Step-by-step explanation:

I got it right on khan

if B is the midpoint of AC, and AB = 12 cm. How long is segment BC? A 12 cm B​

Answers

Answer:

6

Step-by-step explanation:

because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry

Answer:
12 cm
Explanation:
A mid point is halfway between to points. If from A to B is 12 and B is the midpoint of AC, we know BC is 12 as well.
Here is a visual representation:

A___12___B___12___C

Have a wonderful day :)

What is 3.2 × 10^3 × 2000 in standard form

Answers

Answer:

The answer is

6.4×10^6

JUST PLEASE HURRY WITH THIS

Answers

The answer is in the link below

Find the slope of the line. Write your answer in simplest form.

Answers

Answer:

Slope = -3/5

Step-by-step explanation:

slope (m) = y2 - y1 / x2 - x1

m = -2 - 1 / 1 - -4

m = -3 / 1 + 4

m = -3 / 5

You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)

Answer:

-3/5

Step-by-step explanation:

The line is y=-3/5x-1.4


The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).

Use your understanding of simultaneous equations to determine the unknown
dimensions.

Find the area of the rectangle.

Answers

Width of rectangle = x
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2

Order the side from greatest to least.
Η.
28°
118°
K
J
side [Select ]

Answers

Answer:

HJ>KJ>HK

Step-by-step explanation:

Side opposite to the largest angle is the largest.

Side opposite to smallest angle is the smallest.

ang K = 118° ang J = 28°

ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)

118°+28°+angH=180° (Putting the values of ang K & ang J)

146°+angH=180°

ang H=180°-146°

ang H=34°

128°>34°>28°

ang K>ang H>ang J

Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.

Smaller than ang K and bigger than ang J is ang H, so the side opposite to it i.e. KJ will be smaller than HJ but bigger than HK.

Ang J is the smallest angle, so the side opposite to it i.e. HK will be the smallest.

HJ>KJ>HK.

Help, please
A: 2
B: -2
C: 1/2
D:-1/2

Answers

Answer:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} \alpha \alpha \alpha =\beta[/tex]

Step-by-step explanation:

the circumference of a circle is 6.908 kilometers. what is the circles diameter?​

Answers

Answer:

2.19888km

Step-by-step explanation:

C=2πr

d=2r

d=C

π=6.91

π≈2.19888km

Answer: The diameter rounded to the nearest hundredth is 2.20 kilometer, if you need to round to a different place value, the work is shown below.

Good Luck!

Step-by-step explanation:

C = πd

6.908 = πd

   π         π

2.198884694...kilometers = d

Calculate the missing angle measure of each triangle on the left butterfly wing. Write the angle measure inside the angle. The right butterfly wing is a reflection of the left butterfly wing and corresponding angles are congruent.

Answers

Answer:

See attached

The angle measures added.

One side is colored for you, you can do same for the other side

There are two similar packages. The ratio of the volumes is 8:125. Determine the dimensions of the bigger package. The dimensions of the smaller package are... Height= 45cm, Length= 80cm, and Width= 25cm.


Length of bigger package =

cm

______________

Width of bigger package =

cm

______________

Height of bigger package =

cm

PLS HELP ME PLS ASAP. I WILL GIVE U THE BRAINLIEST ANSWER PLS HELP NOWW!!!!!!

Answers

Step-by-step explanation:

since packages are similarsimilar packages. The ratio of the volumes is 8:125. Determine the dimensions of the bigger package. The dimensions of the smaller package are... Height= 45cm, Length= 80cm, and Width= 25cm.

Length of bigger package = 80×125/8=1250cm

Width of bigger package =25×125/8=390.625cm

Height of bigger package =45×125/8=703.125cm

what is the formula to find the area of a triangle? choose all that apply​

Answers

Answer:

the second and thrid one :)

Step-by-step explanation:

An artist creates 8 identical ceramic bowls. The bowls contains some glass and 59.2
pounds of clay. The artist uses a total of 73.6 pounds of clay and glass to make the
bowls. Each bowl contains how many pounds of glass?

Answers

Yep because ceramic bowls have a certain depth in them

7th grade math again Imao sorry
but ik its a lot but plss

17: -15x +0
18: -17x= -204
19: 21= -7n
20: m/4 = -13
22: -143= 11x
23: -16 + x = --15
26: n-8=-10
27: v/7 =8
28: a+11=20
30: 18+m=8

Answers

Answer:

Down below

Step-by-step explanation:

17: -15x

18: 12

19: -3

20: -52

22: -13

23: 31

26: -2

27: 56

28: 9

30: -10

simplify: ,3(x-2) + 2(2x+5) =32, a+2a+7a​

Answers

Answer:

x = 4, 10a

Step-by-step explanation:

3(x-2) + 2(2x+5) = 32

3x - 6 + 4x + 10 = 32

3x + 4x + 10 - 6 = 32

7x + 4 = 32

7x = 32 - 4

7x = 28

Divide both side by 7

x = 4

a + 2a + 7a

They are common because the have the same variables.

'a' is with a coefficient of 1

You add the coefficient and attach the variable to it

Therefore,

a + 2a + 7a = 10a

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