1. What is the coefficient of x in the division (18x^3 + 12x^2 – 3x) / 6x^2?A) 3
B) 2
C) -0.5
D) -3

Answers

Answer 1
Answer: well since we're dealing with the co-efficient of x, then we just have to talk about 18x^3 and divide it by 6x^2 and we get 3x. so the co-eff. is 3 so (A)

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I am so confused Please Help it is DUE NOW!!Select the polynomial that is a perfect square trinomial.
9x^2 + 9x + 1
36b^2 − 24b + 8
16x^2 + 24x + 9
4a^2 − 10a + 25

Answers

Answer:

16x^2 + 24x + 9  

Step-by-step explanation:

perfect square trinomial is of the form

a^2 + 2 * a * b + b^2

9x^2 + 9x + 1   = (3x)^2 + 3*3x*1 + 1^2  not a perfect square trinomial

36b^2 − 24b + 8  = ( 6b)^2  -2 * 6b *2 + ( 2 sqrt(2)) ^2  not a perfect square trinomial

16x^2 + 24x + 9  = ( 4x) ^2 + 2 * ( 4x) * 3 + 3^2 = perfect square trinomial

4a^2 − 10a + 25 = ( 2a) ^2 -  1 * 2a *5 + 5^2   not a perfect square trinomial

Answer:

The third answer listed:

16x^2+24x+9

Step-by-step explanation:

The trinomial:  

16x^2+24x+9

can be factored out as follows:

16x^2+24x+9\n(4x)^2+24x+3^2\n(4x)^2+12x+12x+3^2\n4x(4x+3)+3(4x+3)\n(4x+3)\,(4x+3)\n(4x+3)^2

which as can be seen,is the perfect square of a binomial, so this trinomial is what is called a perfect square trinomial.

Find the product. (n + 7)2

Answers

(n+7)2
= (n)(2) + (7)(2)
=2n+14

(n+7)(2) =(n+7)(2) =(n)(2)+(7)(2) =2n+14

If p is true and q is false, the p -> q is always, sometimes, never true.When p is false and q is true, then p or q is always, sometimes, never true.

If p is true and ~ q is false, then p -> ~ q is always, sometimes, never false.

If p is true and q is true, then ~ p -> ~ q is always, sometimes, never true.

If p -> q is true and q is true, then p always, sometimes, never is

Answers

1. If p is true and q is false, the p -> q is never true.

2. When p is false and q is true, then p or q is always true.

3. If p is true and ~ q is false, then p -> ~ q is never false.

4. If p is true and q is true, then ~ p -> ~ q is always true.

5. If p -> q is true and q is true, then p is always true.

Further Explanation:

The logic gates are used here.

Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.

So let us look at all the questions one by one.

1. If p is true and q is false, the p -> q is always, sometimes, never true.

p -> q

true -> false

The true should imply true so the given statement will never be true.

2. When p is false and q is true, then p or q is always, sometimes, never true.

false or true

We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.

3. If p is true and ~ q is false, then p -> ~ q is always, sometimes, never false.

This translates to:

true -> true

So it will never be false.

4. If p is true and q is true, then ~ p -> ~ q is always, sometimes, never true.

This translates to:

false -> false

This will always be true.

5. If p -> q is true and q is true, then p is always, sometimes, never true.

If p->q is true and q is true then p will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.

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Answer:

Your answer is: Always true

Step-by-step explanation:

The vertices of a quadrilateral ABCD are A(-3, 4), B(-4, 1), C(-7, 2), and D(-7, 6). The vertices of another quadrilateral EFCD are E(-10, 1), F(-11, 4), C(-7, 2), and D(-7, 6). Which conclusion is true about the quadrilaterals?Their corresponding diagonals are equal.

The measures of their corresponding angles are not identical.

The lengths of their corresponding sides are unequal.

Their shapes and sizes are not identical.

Answers

"Their corresponding diagonals are equal" is the one conclusion among the following choices given in the question that is true about the quadrilaterals. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that has actually come to your help.

A scooter travels 30 feet in 2 seconds at a constant speed. Complete the double number line to show the distance the scooter travels after 1, 3, 4, and 5 seconds. What is the speed of the scooter in feet per second? [ Select ] What is the distance the scooter travels after 3 seconds? [ Select ] A skateboard travels 55 feet in 4 seconds. Is the skateboard going faster, slower, or the same speed as the scooter? [ Select ]

Answers

Answer:

1) 15 feet per second

2) distance after 3 seconds 45 feet

3) slower

Step-by-step explanation:

1) 30/2 = 15

2) 15 x 3

3) 55/4 = 13.75 < 15

Final answer:

The scooter travels 15 feet after 1 second, 45 feet after 3 seconds, 60 feet after 4 seconds, and 75 feet after 5 seconds. The speed of the scooter is 15 feet per second. The skateboard is going slower than the scooter.

Explanation:

To complete the double number line, we need to determine the distance the scooter travels after 1, 3, 4, and 5 seconds. Since the scooter travels 30 feet in 2 seconds at a constant speed, we can determine the distance for each time by finding the proportion:

After 1 second: 30 feet / 2 seconds = 15 feet

After 3 seconds: 30 feet / 2 seconds * 3 seconds = 45 feet

After 4 seconds: 30 feet / 2 seconds * 4 seconds = 60 feet

After 5 seconds: 30 feet / 2 seconds * 5 seconds = 75 feet

The speed of the scooter is the same as its constant speed, which is 30 feet / 2 seconds = 15 feet per second.

The distance the scooter travels after 3 seconds is 45 feet.

Since the scooter traveled 30 feet in 2 seconds, and the skateboard traveled 55 feet in 4 seconds, we can compare their speeds. The scooter traveled 30 feet in 2 seconds, which means its speed is 30 feet / 2 seconds = 15 feet per second. The skateboard traveled 55 feet in 4 seconds, so its speed is 55 feet / 4 seconds = 13.75 feet per second. Therefore, the skateboard is going slower than the scooter.

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PLEASE HELP, I HAVE TO PASS!!!!!!Position Value of Term
1 7
2 10
3 13
4 16
5 19
6 22

Which expression gives the number in the nth position in the sequence?
A) 2n - 2
B) 3n + 4
C) 4n - 1
D) 5n

Answers

Answer:

Option B is correct

3n+4[/tex]

Step-by-step explanation:

The nth term for the arithmetic sequence is given by:

a_n = a_1 +(n-1)d              ....[1]

where,

a_n is the nth position

n is the number of term

a_1 is the first term and

d is the common difference.

Given the table:

Position(n)  Value of Term(a_n)

1                     7

2                     10

3                     13

4                     16

5                     19

6                     22

from the given table:

At n = 1 ,

a_1 = 7

At n = 2

a_2 = 10

at n = 3

a_3 = 13 and so on

Common difference(d) for the sequence is  3

Since,

d = a_2-a_1=a_3-a_2.....

d = 10-7=13-10......... = 3

Substitute d = 3 and a_1 = 7 in [1] we have;

a_n = 7+(n-1)(3)

a_n = 7+3n-3

a_n =3n+4

Therefore, the expression gives the number in the nth position in the sequence is, 3n+4

3n+4
3(3)+4
9+4
13
 is the B).