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ohaa [14]
3 years ago
10

Which equation has a constant of proportionality equal to 9?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0
Let y directly proportional to X
thus y = CX
where c is proportionality constant
given c= 9
thus y = 9x
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Write a quadratic function in standard form with zeros 1 and -10
Licemer1 [7]

Answer:

f(x)=x^2+9x-10

Step-by-step explanation:

<u>Standard Form of Quadratic Function</u>

The standard form of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

The factored form of a quadratic equation is:

f(x)=a(x-\alpha)(x-\beta)

Where \alpha and \beta are the roots or zeros of f, and a is constant.

We know the zeros of the function are 1 and -10. The function is:

f(x)=a(x-1)(x-(-10))

f(x)=a(x-1)(x+10)

Operating:

f(x)=a(x^2+10x-x-10)

Joining like terms:

f(x)=a(x^2+9x-10)

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

\boxed{f(x)=x^2+9x-10}

6 0
3 years ago
Solve for equation4y+4=3x
Basile [38]

Answer:

Step-by-step explanation:

Switch sides:

3x = 4y+4

Divide both sides by 3:

\frac{3x}{3}=\frac{4y}{3}+\frac{4}{3}

Simplify to give:

x=\frac{4y+4}{3}

5 0
2 years ago
A ramp rises 2.9 ft vertically and extends 58 At horizontally. Find the slope of the ramp.​
Ymorist [56]

Answer:

0.05

Step-by-step explanation:

The formula for slope is rise/run.

So, in this case it would be 2.9ft/58ft = 0.05

8 0
3 years ago
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The price decreased by nine dollars
suter [353]

Answer: -9

Step-by-step explanation: it is a negative because it is minus 9$ from the price just like adding -9

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Sergeu [11.5K]

Answer:

14

Step-by-step explanation:

8 0
3 years ago
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