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Katen [24]
3 years ago
11

Find the constant of proportionality

Mathematics
1 answer:
k0ka [10]3 years ago
3 0

Answer:

k=1/5

Step-by-step explanation:

y=kx so

1=1/5(5) yes

3=1/5(15)yes

5=1/5(25)yes

7=1/5(35)yes

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If the area of a rectangle with length (4x) is 4x2 + 12x, find the width.​
8090 [49]

Answer:

The width of a rectangle is: w = x+3

Step-by-step explanation:

Given

The length of rectangle = l = 4x

The area of rectangle = A = 4x² + 12x

To determine

The width of rectangle = w = ?

We know that the formula of the area of the rectangle is

A = wl

substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle

4x² + 12x = w×4x

w = [4x² + 12x] / [4x]

Factor 4x² + 12x:   4x(x+3)

w = [ 4x(x+3) ] /  [4x]

w = x+3

Therefore, the width of a rectangle is: w = x+3

3 0
3 years ago
Describe a real-life multiplication situation for which an estimate makes sense . Explain why it makes sense
monitta

Answer: Here we have a real life multiplication situation for which an estimate make sense:-


Miley has 212 fiction books. Sharon has 3 times fiction books has many as Miley has, how many fiction books Sharon has

Solution :- Number of fiction books Miley has = 212

Number of fiction books Sharon has= 3 times 212

We know that 212 is near to 200 , so round off 212 to 200 (to the nearest hundred)

Thus the product becomes 3\times200=600

Therefore, the estimated number of fiction books Sharon has=600





7 0
3 years ago
What effect does replacing x with x + 2 have on the graph for the function f(x) ?
IrinaK [193]
The answer is A.

When replacing the variable 'x' by 'x + 2' the graph is shifted 2 units to the left. When we replace the variable, the function changes

from
f(x) = |x - 3| + 2

To
f(x) = |(x + 2) - 3| + 2
f(x) = |x - 1| + 2

And therefore the function is shifted 2 to the left.
3 0
3 years ago
Determine the value of x in the isosceles trapezoid.<br> Please help
xenn [34]

Answer:

90 degrees

Step-by-step explanation:

All trapazoids are equal to 360 degrees.

so we can make an equation 2x+x+x=360 (the other corner would also be x because its an unknown value)

to simplify, 4x=360

you divide into both sides (360/4)

you get 90

5 0
2 years ago
An epidemiologist is observing the growth pattern of a pathogenic bacteria. She starts with 20 bacteria that grow at a rate of 9
Vlad [161]

Answer:

Step-by-step explanation:

A= A0 e(r.t)

A= 20 e( 0.9*16)

A= 35,881,495.45

So bc they want to round to the nearest whole number

A= 35,881,495 the epidemiologist will find bacteria

4 0
2 years ago
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