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3 years ago

The variables A,B,and C represent polynomials where A=x2, B=3x, and C=x-3 what is AB-C^2 in its simplest form

Mathematics

1 answer:

DedPeter [7]3 years ago

5 0

This is the correct answer: 3x^3 - x^2 + 6x - 9

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What do I do? what's Ax??

Liono4ka [1.6K]

$A=\left[\begin{array}{ccc}5&-4\\3&6\end{array}\right] \\\\A_x=\left[\begin{array}{ccc}12&-4\\66&6\end{array}\right]$

$|A_x|=\left|\begin{array}{ccc}12&-4\\66&6\end{array}\right|=(12)(6)-(66)(-4)=72+264=336$

5 0

2 years ago

Type the correct answer in the box

algol13

c = cost of food/med for cats

d = cost of food/med for dog

y = total cost/spent

What you know:

y = 6c + d [has 6 cats and 1 dog]

c = 2/3d - 5 [cost for cat is 5 less than 2/3 cost for dog]

y = $195

y = 6c + d

Substitute/plug in what you know, plug in (2/3d - 5) for c and 195 for y

195 = 6(2/3d - 5) + d Distribute/multiply 6 into (2/3d - 5)

195 = 4d - 30 + d Combine like terms

195 = 5d - 30 Add 30 on both sides of the equation

225 = 5d Divide 5 on both sides

$45 = d

5 0

2 years ago

Jack broke apart 5×216 as (5×200) (5×16) to multiply mentally. What strategy did Jack use?

PSYCHO15rus [73]

Breaking the it down- simplifying

5 0

2 years ago

A bank manager wants to open account with $3500 with 3% interest rate. What must the principal be if the bank manager also wants

Simora [160]

Answer:

20%

Step-by-step explanation:

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4 0

2 years ago

The radius of a cylinder gift box is box is 3X +1 inches the height of the gift box is twice the radius what is the surface area

Genrish500 [490]

Answer:

The surface area of the gift box is = $A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}$

Step-by-step explanation:

The surface area of the cylinder can be calculated using this formula:

$A=2\pi rh+2\pi r^2$

in this case, r is not a number, but rather an expression, which is r = $3x +1$ .

The height of the gift box is twice the radius, which is h = $2(3x+1)= 6x+2$

To get our curved surface area, we carefully put the expressions for h and r into the equation.

$A = 2 \times \frac{22}{7} \times (3x+1) \times (6x+2) + 2 \times \frac{22}{7} \times (3x+1)^{2}$

$A = \frac{44}{7} (3x+1) \times (6x +2) + \frac{44}{7} (9x^{2} + 6x +1)\\A =\frac{132}{7}x + \frac{44}{7} \times (6x+2)+ \frac{396}{7}x^{2}+\frac{246}{7}x +\frac{44}{7}$

$A = \frac{792}{7}x^{2} +\frac{264}{7}x +\frac{264}{7}x + \frac{88}{7} + \frac{396}{7}x^{2} + \frac{246}{7}x + \frac{44}{7}$

$A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}$

The surface area of the gift box is = $A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}$

5 0

3 years ago