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3 years ago

Use the following function to find f(9) f(x) = 6x f(9)=

Mathematics

2 answers:

nadya68 [22]3 years ago

7 0

F(9)=54 replace x with 9 and multiply 6x9

san4es73 [151]3 years ago

6 0

Answer:

f(9)=54

Step-by-step explanation:

Subsitute 9 for x in f(x)=6x

$f(9)=6(9)=54$

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Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 3 − 3i and 2, with 2 a

dolphi86 [110]

Answer:

The required polynomial is $P(x)=x^4-10x^3+46x^2-96x+72$ .

Step-by-step explanation:

If a polynomial has degree n and $c_1,c_2,...,c_n$ are zeroes of the polynomial, then the polynomial is defined as

$P(x)=a(x-c_1)(x-c_2)...(x-x_n)$

It is given that the polynomial R has degree 4 and zeros 3 − 3i and 2. The multiplicity of zero 2 is 2.

According to complex conjugate theorem, if a+ib is zero of a polynomial, then its conjugate a-ib is also a zero of that polynomial.

Since 3-3i is zero, therefore 3+3i is also a zero.

Total zeroes of the polynomial are 4, i.e., 3-3i, 3_3i, 2,2. Let a=1, So, the required polynomial is

$R(x)=(x-3+3i)(x-3-3i)(x-2)(x-2)$

$R(x)=((x-3)+3i)((x-3)-3i)(x-2)^2$

$R(x)=(x-3)^2-(3i)^2((x-3)-3i)(x-2)^2$ $[a^2-b^2=(a-b)(a+b)]$

$R(x)=(x^2-6x+9-9(i)^2((x-3)-3i)(x-2)^2$

$R(x)=(x^2-6x+18)(x^2-4x+4)$ $[i^2=-1]$

$R(x)=(x^2-6x+18)(x^2-4x+4)$

$R(x)=x^4-10x^3+46x^2-96x+72$

Therefore the required polynomial is $P(x)=x^4-10x^3+46x^2-96x+72$ .

3 0

3 years ago

The sequence 3,9,17,27 is quadratic. determine the expression of nth term

scoray [572]

Hello for better understanding,

here's a link to a video,

https://youtu.be/3oFGZDamTDM

It might really help

6 0

3 years ago

Question 7. Which graph represents a function?

Alexxandr [17]

Left side bottom one

A function is a plot for an equation in 2 variables

4 0

3 years ago

Read 2 more answers

Gena attached a dog ramp to her sofa, which allows her oldest dog to easily climb onto a seat cushion. The ramp is 55 inches lon

matrenka [14]

The distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.

Explanation

According to the diagram, length of the ramp is, $AC= 55$ inches. The top of the seat cushion is 28 inches above the floor. That means, $BC=28$ inches

We need to find the distance from the base of the ramp to the base of the sofa which is $AB$

In right angle triangle $ABC$ , using Pythagorean theorem...

$AC^2 = AB^2 + BC^2\\ \\ (55)^2= AB^2 + (28)^2 \\ \\ AB^2 = (55)^2 - (28)^2 \\ \\ AB^2 = 3025 - 784\\ \\ AB^2 = 2241\\ \\ AB = \sqrt{2241}= 47.3$

So, the distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.

4 0

3 years ago

Read 2 more answers

Plz help when you see this

kolezko [41]

Answer:

126

Step-by-step explanation:

angle ZWY = 180 - 90 - 63 = 27

Base on the given information, the length of XW is same with the length of ZW, which means they have the same angle.

Quadrangle has angle of 360

360(quadrangle) - 27(ZWY)- 27(XWY) - 90(WZY) - 90(WXY)

= 126

5 0

2 years ago