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3 years ago

Rewrite using a single positive exponent

Mathematics

1 answer:

Korolek [52]3 years ago

7 0

Answer:

9³

Step-by-step explanation:

We need to find the value of $\dfrac{9^5}{9^2}$ .

We know that,

$\dfrac{x^a}{x^b}=x^{a-b}$

Here, a = 5 and b = 2.

So,

$\dfrac{9^5}{9^2}=9^{5-2}\\\\=9^3$

So, the answer to the given expression is 9³.

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Step-by-step explanation:

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AVprozaik [17]

Answer:

Step-by-step explanation:

Recall that for a quadratic equation of the form:

$0=ax^2+bx+c$

The number of solutions it has can be determined using its discriminant:

$\Delta = b^2-4ac$

Where:

If the discriminant is positive, we have two real solutions.
If the discriminant is negative, we have no real solutions.
And if the discriminant is zero, we have exactly one solution.

We have the equation:

$2x^2+5x-k=0$

Thus, a = 2, b = 5, and c = -k.

In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

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$(5)^2-4(2)(-k)=0$

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Step-by-step explanation:

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3 years ago

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using

Ivenika [448]

Answer:

f(x)=-3x+4

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Step-by-step explanation:

We want x to be independent means we want to write it so when we plug in numbers we can just choose what we want to plug in for x but y's value will depend on our choosing of x.

So we need to solve for y.

9x+3y=12

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3y=-9x+12

Divide both sides by 3:

y=-3x+4

Replace y with f(x).

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3 years ago

The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8.

tekilochka [14]

ANSWER

The new equation is:

$y = - \frac{1}{8} {x}^{2}$

EXPLANATION

The given parabola has equation,

$y = {x}^{2}$

This is the parent function.

When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.

The new equation becomes:

$y = - \frac{1}{8} {x}^{2}$

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3 years ago