A line with a slope of -2 passes through the point (4, 7). Write an equation for this line in point-slope form.

Answers

Answer 1
Answer:

Answer:

The equation in point-slope is y-7=-2(x-4).

Step-by-step explanation:

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

y-b=m(x-a)

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.

y-7=-2(x-4)

Answer 2
Answer:

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{7})~\hspace{10em} slope = m\implies -2 \n\n\n \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-7=-2(x-4)


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If a new truck costs $43,750 and it depreciates 18% per year, what will the truck be worth in 5 years? 1 SEE ANSWER

Answers

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

Solve the equation. Check the solution. 8 - 6x - 5 - 4x = 5 Type an integer or a simplified fraction

Answers

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.

Ashley, Milan, and Carlos sent a total of 131 text messages over their cell phones during the weekend. Carlos sent 7 times as many messages as Ashley. Ashley sent 4 more messages than Milan. How many messages did they each send?

Answers

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

Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?x(x2 – 5) + 6(x2 – 5)
x(x2 + 5) – 6(x2 + 5)
x2(x – 5) + 6(x – 5)
x2(x + 5) – 6(x + 5)

Answers

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

Factorisation by grouping

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;

brainly.com/question/2416165

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)

N f(x) = 2x , x=5. What is the value of the function?

Answers

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

HELP PLEASE!!! The following graph shows farm sector production in billions of dollars from 1994–2003. One line shows the yearly production and the other shows the average over the time span. According to the graph, in which 3 years were the values of farm sector production closest to the average for the 10 years shown?

A): 1994, 1996, 1998
B): 1996, 1998, 2000
C): 1998, 2000, 2002
D): 2000, 2002, 2004

Answers

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: