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3 years ago

Which of the following is not a zero of f(x) = (x2 - 4x + 4) (x2 + 3x - 10) = 0

Mathematics

1 answer:

Alenkinab [10]3 years ago

4 0

Answer:

Only 2 and -5 are roots. Any other number is not a root.

Step-by-step explanation:

The zeros of the function are the x-intercepts and are found by factoring the equations and solving for x using the zero product property.

The f(x) = (x2 - 4x + 4) (x2 + 3x - 10) = 0 can factor into

f(x) = (x -2)(x-2)(x+5)(x-2) = 0.

Set each factor equal to 0 and solve.

x - 2 = 0 so x = 2. This repeats twice.

x + 5 = 0 so x = -5.

So the zeros are 2, -5.

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garri49 [273]

<h3>Answer: Choice A</h3>

$x^2\left(\sqrt[4]{x^2}\right)$

=====================================================

Explanation:

The fourth root of x is the same as x^(1/4)

I.e,

$\sqrt[4]{x} = x^{1/4}$

The same applies to x^10 as well

$\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4}$

Multiply the exponents 10 and 1/4 to get 10/4

$\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4} = x^{10*1/4} = x^{10/4}$

$\sqrt[4]{x^{10}} = x^{10/4}$

-----------------------

If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below

$x^{m/n} = x^a\sqrt[n]{x^b}$

The 'a' and 'b' are found through dividing m/n

m/n = a remainder b

'a' is the quotient, b is the remainder

-----------------------

The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4

m/n = 10/4 = 2 remainder 2

We have a = 2 and b = 2

$x^{m/n} = x^a\sqrt[n]{x^b}$

turns into

$x^{10/4} = x^2\sqrt[4]{x^2}$

which means

$\sqrt[4]{x^{10}} = {x^2} \sqrt[4]{x^2}$

7 0

3 years ago

Simplify ........ (256y²⁵⁶) ⅛<br>help asap!!!!!

AVprozaik [17]

Answer:

2y^32

Step-by-step explanation:

Since 2^8 = 256, the eighth root of 256 is 2.

Next, we find the power of y by multiplying 256 and 1/8: result is 32.

Complete answer: 2y^32

7 0

3 years ago

What is the nth term of the sequence -2 -8 -18 -32 -50

andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
$T_{n} = an^{2} +bn +c$

To find the value of a we just divide second difference ( -4 ) by 2:

$a = \frac{-4}{2}= -2$

Now we have:

$T_{n}= -2n^{2} +bn+c$

Substitute $n_{1}$ and $n_{2}$ into the equation above:

$T_{1} = -2(1)^{2} +b(1) +c$

$T_{2} = -2(2)^{2} +b(2)+c$

Since $T_{1}$ = -2 and $T_{2}$ = -8 , after simplification we have:

$b +c =0$
$2b+c=0$

The solution of this system is:

b=0, c =0

The general term is :

$T_{n} = -2n^{2}$

6 0

1 year ago

Find the value of x in each case.

ExtremeBDS [4]

62 is the awnser for this

5 0

2 years ago

A window is in the shape of a kite. caleb wants to apply a layer of plastic film on the top half of the window so that the glass

vazorg [7]

The dimensions of the layer of film he will apply to the window is 18 inches in width and 7 inches in height.

<h3>What are the dimensions of the layer of film?</h3>

A kite is a four sided shape that can be divided into two pairs of equal-length sides that are adjacent to each other.

The dimensions of the upper part:

Width = 18 inches
Length = 14 inches / 2 = 7 inches

Please find attached the complete question. To learn more about kites, please check: brainly.com/question/2918354

#SPJ4

3 0

2 years ago