What is 11.16 times 3.27??

Solve <br> f(x)=4x5−8x4+8x2−4x

Goryan [66]

Given:

The function is:

$f(x)=4x^5-8x^4+8x^2-4x$

To find:

The roots of the given equation.

Solution:

We have,

$f(x)=4x^5-8x^4+8x^2-4x$

For roots, $f(x)=0$ .

$4x^5-8x^4+8x^2-4x=0$

$4x(x^4-2x^3+2x-1)=0$

$4x((x^4-1)+(-2x^3+2x))=0$

$4x((x^2+1)(x^2-1)-2x(x^2-1))=0$

On further simplification, we get

$4x(x^2+1-2x)(x^2-1)=0$

$4x(x-1)^2(x+1)(x-1)=0$

$4x(x+1)(x-1)^3=0$

Using zero product property, we get

$4x=0$

$x=0$

Similarly,

$x+1=0$

$x=-1$

And,

$(x-1)^3=0$

$x=1$

Therefore, the zeroes of the given function are $-1,0,1$ and the factor form of the given function is $f(x)=4x(x+1)(x-1)^3$ .

6 0

3 years ago

The surveyor sets up the instrument to determine the height at the highest point on the hill. She determines that she is standin

Ne4ueva [31]

Answer:

$(a)\ h = d * \tan(\theta)$

$(b)\ h = 30.57m$

Step-by-step explanation:

Given

$\theta = 17^o$

$d =100m$

$h = ??$

See attachment for illustration

Solving (a): Trigonometry ratio to calculate h.

From the attachment, we have:

$\tan(\theta) = \frac{h}{d}$

Multiply both sides by d

$d * \tan(\theta) = \frac{h}{d} * d$

$d * \tan(\theta) = h$

Rewrite as:

$h = d * \tan(\theta)$

Solving (b): The value of h

We have:

$\theta = 17^o$

$d =100m$

So:

$h = 100m * \tan(17^o)$

$h = 100m * 0.3057$

$h = 30.57m$

8 0

3 years ago

Which of the following numbers is irrational

max2010maxim [7]

The square root of 5

6 0

3 years ago

Read 2 more answers

PQRS is a parallelogram. Find the values of a and b. Solve for the value of c if c = a + b.

Alecsey [184]

Answer:

a = 7

b = 7

c = 14 [Correct option is B. 14]

Step-by-step explanation:

Since the shape is a parallelogram, to solve this problem, use some of the properties of a parallelogram:

(i) Opposite sides are parallel and congruent. Being congruent means the sides are identical. In other words, they have the same length.

From the diagram, this means that sides PQ and SR are identical. i.e

=> PQ = SR

=> 6a + 10 = 8a - 4 [collect like terms and solve]

=> 14 = 2a

=> a = 7

(ii) Opposite angles are congruent. Angles PQR and PSR are identical. i.e

<PQR = <PSR = (9b + 2)°

Also,

<SPQ = <SRQ = (18b - 11)°

(iii) Consecutive angles are supplementary. The sum of any two angles that are not opposite to each other is 180°. i.e.

<SPQ + <PQR = 180°

<PQR + <QRS = 180°

<QRS + <RSP = 180°

.

Also,

<PSR + <SPQ = 180°

(9b + 2)° + (18b - 11)° = 180° [expand bracket and solve for b]

9b + 2 + 18b - 11 = 180

27b - 9 = 180

27b = 189

b = 7

Now, since a = 7 and b = 7;

c = a + b = 7 + 7 = 14

Therefore;

a = 7

b = 7

c = 14

8 0

4 years ago

Solve for m<br><br> M/4 - 7= 3

Leokris [45]

Answer:

40

Step-by-step explanation:

3+7=10

10x4=40

40/4-7=3

3 0

3 years ago