Answer:

**Answer:**

The equation in point-slope is .

**Step-by-step explanation:**

**Point-slope** is a specific form of linear equations in two variables:

When an equation is written in this form, m gives the slope of the line and (a, b) is a point the line passes through.

We want to find the equation of the line that passes through (4, 7) and whose slope is -2. Well, we simply plug m = -2, a = 4, and b = 7 into point-slope form.

Answer:

Solve: x^2 – 16x + 63 < 0

Which sequence shows the numbers in order from least to greatest?A. 7 5/6, √132, |-5 x 10^2|B. |-5 x 10^2|, √132, 7 5/6C. |-5 x 10^2|, 7 5/6, √132D. √132, 7 5/6, |-5 x 10^2|

Evaluate.19+(22 - 16) =

What is the value of 2.57 1.75

Write the slope-intercept form of the equation : a) 4x-2y = 3

Which sequence shows the numbers in order from least to greatest?A. 7 5/6, √132, |-5 x 10^2|B. |-5 x 10^2|, √132, 7 5/6C. |-5 x 10^2|, 7 5/6, √132D. √132, 7 5/6, |-5 x 10^2|

Evaluate.19+(22 - 16) =

What is the value of 2.57 1.75

Write the slope-intercept form of the equation : a) 4x-2y = 3

if it depreciates by 18%, then as each year passes, its worth is reduced to 82% of its value

So, after 5 years, it is worth 43750

So, after 5 years, it is worth 43750

**Answer:**

x = -0.2

**Step-by-step explanation:**

In this problem, an equation is given as follows :

8- 6x - 5 - 4x = 5

We need to solve the above equation

Taking like terms together:

-6x-4x=5+5-8

-10x=2

x = -0.2

So, the value of x is -0.2.

Answer:

Ashley= 15

Milan= 11

Carlos= 105

Step-by-step explanation:

Let, A, M and C denotes Ashley, Milan and Carlos respectively.

A+M+C= 131 (according to the question)

Here,

C= 7A

A= M+ 4

So, M= A - 4

Now,

A+M+C = 131

or, A+ A-4+ 7A = 131 (putting the values)

or, 9A - 4 = 131 (adding like terms i.e. A + A + 7A)

or, 9A = 131 + 4

or, 9A = 135

or, A = 135 / 9

So, A = 15

C= 7A = 7×15= 105

M= A-4 = 15 - 4 = 11

x(x2 + 5) – 6(x2 + 5)

x2(x – 5) + 6(x – 5)

x2(x + 5) – 6(x + 5)

The answer choice which shows how to determine the **factors** of the expression by **grouping** is; Choice D; **x²(x + 5) – 6(x + 5)**

The given expression is; x³ + 5x² – 6x – 30.

The expression is tetranomial, hence, by grouping into 2 terms each; we have;

- (x³+ 5x²) (– 6x – 30)

Ultimately, upon **factorisation** of each subunit of the expression, we have;

- x²(x+5) -6(x+5)

Read more on **factorisation** by **grouping**;

**Answer:**

D

**Step-by-step explanation:**

group them first :

( x3+5x2) and ( -6x-30)

then simply by gcf ( greatest common factor) :

x2(x+5) and -6(x+5)

and just add them together:

x2(x+5)-6(x+5)

bonus :

it can be written as (x2-6)(x+5)

plug the 5 into the x in the equation 2x. it should be 2(5) which equals 10.

A): 1994, 1996, 1998

B): 1996, 1998, 2000

C): 1998, 2000, 2002

D): 2000, 2002, 2004

**Answer:**

C): 1998, 2000, 2002

**Explanation:**

You can find the answer by looking at which part of the line graph intersects the line where it says 1994-2003 average. As you can see, the years 1998, 2000, and 2002 are meeting up with the average of 1994-2003.

Answer: C) 1998, 2000, 2002 !!

Step-by-step explanation: