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Flauer [41]
3 years ago
8

Factor completely 3x4 − 30x3 + 75x2

Mathematics
2 answers:
IgorLugansk [536]3 years ago
6 0

we have

3x^{4}-30 x^{3}+75 x^{2}

Factor the leading coefficient

3x^{2}(x^{2}-10 x+25)

we know that

(x^{2}-10 x+25)=(x-5)^{2}

substitute

3x^{2}(x-5)^{2}=3x^{2}(x-5)(x-5)

therefore

<u>the answer is</u>

3x^{2}(x-5)^{2}


k0ka [10]3 years ago
5 0
3x^2(x^2-10x+25) hope this helps
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What is the rate of change seen in the graph below?
Grace [21]

Answer:

zero

Step-by-step explanation:

This flat horizontal line is Y=1 has a slope (rate of change) of zero.

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2 years ago
What function represents the pattern shown in the table?
Pavlova-9 [17]

Given:

The table of values of an exponential function.

To find:

The function for the given table of values.

Solution:

The general exponential function is:

y=ab^x        ...(i)

Where, a is the initial value and b is growth factor.

From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.

9=ab^1        ...(ii)

36=ab^2       ...(iii)

On dividing (iii) by (ii), we get

\dfrac{36}{9}=\dfrac{ab^2}{ab}  

4=b  

Putting b=4 in (ii), we get

9=a(4)^1

\dfrac{9}{4}=a

Putting a=\dfrac{9}{4},b=4 in (i), we get

y=\dfrac{9}{4}(4)^x

y=9(4)^{x-1}

The function notation with variable n is:

f(n)=9(4)^{n-1}

Therefore, the correct option is D.

7 0
3 years ago
Given Δ ABD ≅ ΔEBD, what can you conclude?
Anna71 [15]
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3 years ago
Read 2 more answers
Consider the equation 2(ax+3)=4x−3(4x+8). For what value of a is there no solution to the equation?
erastovalidia [21]

Answer:

the value of a such that  there is no solution to the equation is a = -4.

Step-by-step explanation:

Let first simplify the expression presented on statement. The equation has no solution if and only if a is eliminated in the process and an absurd is the result (i.e. 0 = 7).

2\cdot (a\cdot x + 3) = 4\cdot x -3\cdot (4\cdot x + 8)

2\cdot a\cdot x +6 = 4\cdot x -12\cdot x -24

2\cdot a \cdot x+6=-8\cdot x-24

2\cdot a\cdot x +8\cdot x = -30

2\cdot (a+4)\cdot x = -30

(a+4)\cdot x = -15

To obtain an absurd, we need that a+4 = 0. Hence, the value of a such that  there is no solution to the equation is:

a = -4

Let prove the certainty of the result. We find that an absurd exist: (a = -4)

0 = -15

5 0
3 years ago
What is the range of the function shown below?
Ivenika [448]

Answer:

Step-by-step explanation:

{ - 9, - 4, - 1}

5 0
3 years ago
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