MATHEMATICS HIGH SCHOOL

A dependent system of equation is a system witha. same lines
b.parallel lines
c. intersecting lines and lines that have the same equation
d.intersecting lines and lines that have the same slope.

Answers

Answer 1
Answer: Answer: a. same lines

A dependent system of equation is a system with the same lines. It this case, it appears to have only one line when in fact it is made up of a line that is drawn twice. These two lines intersect in every point through the entire length.

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The base of a right prism is a square with edge 4 . The volume is 128 . The height is ?

Answers

Volume = (length) x (width) x (height)

Height = (Volume) / (length x width) = 128 / (4 x 4) = 128/16 = 8 .
h =128/(4^2) \n =128/16 \n =8

A pro football team has 36,000 season ticket holders. Then the team wins the championship and the number of season ticket holders increases by 9,000. What is the percent of change in season ticket holders?20%
25%
33.3%
75%

Answers

Given:
36,000 season ticket holders (base number)
  9,000 increase in season ticket holders.

9,000 / 36,000 = 0.25
0.25 * 100% = 25%

The percentage change is an increase of 25%.

36,000 + 9,000 = 45,000 new number of season ticket holders.

Let n = 5. What is the value of 4n − 3?









A.

8








B.
17







C.
20







D.
23

Answers

4 times 5 is 20 then take away 3 which is 17. So the answer is B
4*5-3=20-3=17 ⇒ B
...............

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

Answers

Answer:

factor of the polynomial f(x)=3x^(3)-5x^(2)-12x+20 is

 (x-(5)/(3))(x+2)(x-2)

Step-by-step explanation:

Rational Root Theorem: It tells us  which roots we may find exactly (the rational ones) and which roots we may only approximate (the irrational ones).

P(x) = a_n x^(n)+a_(n-1)x^(n-1) + ... + a_2 x^(2)+ a_1 x + a_0

has any rational roots, then they must be of the form:

\pm(factor of a_0)/(factor of a_1)

In provided polynomial f(x)=3x^(3)-5x^(2)-12x+20

Here, a_0=20\; \text{and}\; a_n =3

The number 20 has factors: \pm1,\pm2,\pm4,\pm5,\pm10,\pm20.

These are possible value for p

The number 3 has factors: \pm1,\pm3. these are possible value for q

Find all possible value of (p)/(q)

\mathrm{The\:following\:rational\:numbers\:are\:candidate\:roots:}\quad \pm (1,\:2,\:4,\:5,\:10,\:20)/(1,\:3)

\mathrm{Validate\:the\:roots\:by\:plugging\:them\:into}\:3x^3-5x^2-12x+20=0:\quad x=(5)/(3),\:x=-2,\:x=2

Hence, factor of the polynomial f(x)=3x^(3)-5x^(2)-12x+20 is

 (x-(5)/(3))(x+2)(x-2)
a)X1=-2

b)X2=2

c)X3=5/3

Whats is six over 9 + 1 over 3 ​

Answers

Step-by-step explanation:

6/9 + 1/3

= 6/9 + 3/9

= 9/9

= 1.

There are 12 rabbits in a cage. The ratio of white rabbits to all rabbits is 3:4. How many white rabbits are in a cage?

Answers

12:4 = 3
3x3=9
9 white rabbits
9 rabbits :-) That's it
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