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Sav [38]
3 years ago
13

The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represent

ed by the equation y = 1.5x. What is the constant of proportionality of the equation?
Mathematics
1 answer:
alexira [117]3 years ago
6 0

Answer:

The constant of proportionality of the equation is 1.5.

Step-by-step explanation:

Equation of proportional measures:

Suppose that y and x are proportional measures. This situation can be equatialized is:

y = ax

In which a is the constant of proportionality.

y = 1.5x. What is the constant of proportionality of the equation?

a = 1.5, so the constant of proportionality of the equation is 1.5.

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Solve xy-6=k for x <br><br><br> Please help me out
dedylja [7]

Answer:

\times  =  \frac{k + 6}{y}

Step-by-step explanation:

xy - 6 = k \\ xy = k + 6 \\ x =  \frac{k + 6}{y}

4 0
3 years ago
Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Step-by-step explanation:

The given equation is

x^3-21x=-20

It can be written as

x^3+0x^2-21x+20=0

Splitting the middle terms, we get

x^3-x^2+x^2-x-20x+20=0

x^2(x-1)+x(x-1)-20(x-1)=0

(x-1)(x^2+x-20)=0

Splitting the middle terms, we get

(x-1)(x^2+5x-4x-20)=0

(x-1)(x(x+5)-4(x+5))=0

(x-1)(x+5)(x-4)=0

Using zero product property, we get

x-1=0\Rightarrow x=1

x-4=0\Rightarrow x=4

x+5=0\Rightarrow x=-5

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

3 0
3 years ago
Need an answer I need help?
SIZIF [17.4K]

Answer:

You need help or I need help?

Step-by-step explanation:

(I typed with a keyboard)

7 0
3 years ago
The transitive property holds true for similar figures.<br><br> Always<br> Sometimes<br> Never
liubo4ka [24]

Answer: Always.


Step-by-step explanation:

The transitive property holds true for similar figures always because similar figures have similar shapes, the same angles and dimensions are proportional.

For example:- If figure 1 is similar to figure 2 then both have same shape and same angles and dimensions are proportional .

If figure 2 is similar to figure 3 then both have same shape and same angles and dimensions are proportional .

⇒ figure 1 is similar to figure 3 the both have same shape and same angles and dimensions are proportional as the figure 2 .

Thus the transitive property holds true for similar figures always.

5 0
3 years ago
Read 2 more answers
(−2, −3) and (4, −1). Which equation represents the circle?
tankabanditka [31]

Answer:

Step-by-step explanation:

3 0
3 years ago
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