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3 years ago

What is the degree of (3x^2-3)(3x^2+3)

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

5 0

Answer:

9x^4+3x^2 -6

Step-by-step explanation:

(3x^2-2)(3x^2+3)

expand to remove the bracket

9x^4 + 9x^2 -6x^2 - 6

9x^4 + 3x^2- 6

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Oxana [17]

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4 years ago

Read 2 more answers

Complete the missing value in the solution to the equation. y=-2x+4 y=-2

anygoal [31]

Answer:

X=3,y=-2

Step-by-step explanation:

This is a simultaneous equation question and we will have to solve using substitution method

So let's solve

y=-2x+4...(1)

y=-2....(2)

Let's substitute (2) into (1)

-2=-2x+4

Substrate 4 from both sides

-6=-2x

Divide both sides by-2

x=3

Substitute the value of x in (1)

y=-2(3)+4

y=-6+4

y=-2

Therefore x is 3,y is -2

3 0

3 years ago

Solution of (a+b) x^{2} + cx + a = 1<img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmidd

natulia [17]

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8 0

3 years ago

Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago

Trucks are delivering gravel to a construction site each truck hold 7.5 cubic yards of gravel. The weight of 1 cubic yard of gra

Romashka-Z-Leto [24]

The first thing you must do is to calculate the weight of the gravel (w) that the truck holds (7.5 yards³). So, you have:

If the weight of 1 yard³ is 1.48 tons, then the weight of 7.5 yards³ is:

w=7.5x1.48 tons
w=11.1 tons

The problem says that the gravel will be placed in containers that each hold 3.7 tons of gravel,so, If they need 1 cotainer to place 3.7 tons, how many containers they need to place 11.1 tons?

1 container-------3.7 tons of gravel
x-------11.1 tons of gravel

x=(11.1x1)/3.7
x=11.1/3.7
x=3 containers

How many containers of this size are needed to hold all the gravel from one truck?

The answer is: 3 containers.

7 0

4 years ago