Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 5x − 1). If the final answer is written in the form Ax2 + Bx + C, what is the value of A? Numerical Answers Expected! Answer for Blank 1:

Answers

Answer 1
Answer: Taking out the parentheses of expression
(5x2 + 3x + 4) − (2x2 + 5x − 1)

= 5x2 + 3x+ 4 -2x2 - 5x + 1

Grouping together the like terms and arranging the expression:
= 5x2 - 2x2 + 3x - 5x + 4 + 1

Combining the like terms:
= 3x2 - 2x + 5

Therefore,
A = 3
Answer 2
Answer:

Answer: 3

Step-by-step explanation:


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Which shows 232 − 172 being evaluated using the difference of perfect squares method?232 − 172 = (529 + 289)(529 − 289) = 196,320
232 − 172 = 529 − 289 = 240
232 − 172 = (23 + 17)(23 − 17) = (40)(6) = 240
232 − 172 = (23 − 17)2 = (6)2 = 36

Answers

The difference of perfect square is 240 is correct.

When a binomial is composed of two perfect squaresseparated by a subtraction symbol,

A certain method called the difference of perfectsquares is as follows,

What is the method of  the difference of perfect squares?

The difference of perfect squares method can be done by multiplying the sum and difference of the two square roots. This is shown below:

23^2 - 17^2 = (23 + 17)(23-17) = (40)(6) = 240

Therefor the difference of perfect square is 240 is correct.

To learn more about the perfect square method visit:

brainly.com/question/1370468

When a binomial is composed of two perfect squares separated by a subtraction symbol, a certain method called the difference of perfect squares can be used. The difference of perfect squares method can be done by multiplying the sum and difference of the two square roots. This is shown below:

23^2 - 17^2 = (23 + 17)(23-17) = (40)(6) = 240 

A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2.Which value can be used as the common ratio in an explicit formula that represents the sequence?


2
6
12

Answers

The common ratio is the current number divided by the previous. So the ratio is 1/2

The sequence is 12, 6, 3, 3/2, 3/4 ...

You can obtain any number multiplying the previous number times 1/2.

6 = 12 *(1/2)

3 = 6*(1/2)

3/2 = 3*(1/2)

Answer:

Common ratio = (1)/(2)

Step-by-step explanation:

A sequence that progresses geometrically has the first term as 12.

Each number is the previous number divided by 2.

so the sequence will be 12, 6, 3, 1.5...........

Explicit formula of a geometric sequence is given by

T_(n)=a(r)^(n-1)

Where T_(n) = nth term of the sequence

a = first term

r = common ratio

and n = number of term

In this sequence common ratio = \frac{\text{Successive term}}{\text{previous term}}

= (6)/(12)

= (1)/(2)

Therefore, common ratio will be (1)/(2)

Aiden walked 2 miles in 2/5 hour. Find the unit rate.

Answers

Answer:

1 mile- 2/10 hr

Step-by-step explanation:

2 miles- 2/5 hr

1 mile- 2/10 hr

(divide by 2)

hope this helped :)

The points -5,2 and -5,8 lie on a circle with a radius of 3. Find the center of the circle.

Answers

The formula of a distance between two points:

d=√((x_2-x_1)^2+(y_2-y_1)^2)

We have two points A(-5, 2) and B(-5, 8). Substitute:

d=√((8-2)^2+(-5-(-5))^2)=√(6^2+0^2)=√(6^2)=6

d is a diameter of a circle because d = 2r = 2(3).

The center of a circle is in midpoint of AB.

The formula of a midpoint:

M\left((x_1+x_2)/(2),\ (y_1+y_2)/(2)\right)

Substitute:

(-5+(-5))/(2)=(-10)/(2)=-5\n\n(2+8)/(2)=(10)/(2)=5

Answer: (-5, 5).

How do you factorise 9y^2 - 64

Answers

Simplifying 9y2 + -64
 Reorder the terms: -64 + 9y2
 
Factor a difference between two squares. (8 + 3y)(-8 + 3y)

Final result:
(8 + 3y)(-8 + 3y)

What are the coordinates of B and how is that the answer ?

Answers

Step-by-step explanation:

Point A = (-1, -3).

Midway of AB = (-3, 2).

Let Point B = (x, y).

Then (-1, -3) - (-3, 2) = (-3, 2) - (x, y).

=> (2, -5) = (-3-x, 2-y).

We have -3 - x = 2 and 2 - y = -5.

So x = -5 and y = 7.

Hence, point B = (-5, 7).