A set of equations is given below:Equation C: y = 7x + 12

Equation D: y = 7x + 2

Which of the following best describes the number of solutions to the given set of equations? (1 point)

One solution

Two solutions

Many solutions

No solution

Answers

Answer 1

Answer:

Two linear equations y = 7x + 12 and y = 7x + 2 don't have any solution.

What is a linear equation?

A linear equation is an equation where the variable has the highest power of one. A linear equation could have more than one variable. However, the highest power of the variable is one.

Given, 1st equation is y = 7x + 12

⇒ - 7x + y = 12

Therefore, a₁ = -7, b₁ = 1, and c₁ = 12.

The second equation is y = 7x + 2

⇒ - 7x + y = 2

Therefore, a₂ = -7, b₂ = 1, and c₂ = 2.

We know, two linear equations can't have any solution if a₁/a₂ = b₁/b₂ ≠ c₁/c₂.

Therefore, -7/ -7 = 1/1 ≠ 12/2.

Hence, these two linear equations have no solution.

Learn more about a linear equation here: brainly.com/question/13738061

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Answer 2

Answer:

There is no solution because 12 and 2 are totally different numbers, it doesn't work, because both x's have a 7(7x).

there are no solutions.

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What does 13m2n3p + 21mp2 equal when completely factored?13mp(mn3 + 2p)

m2p2(13n3 + 21)

mp(13mn3 + 21p)

mnp(13mn2 + 21p)

Answers

If you would like to factor completely 13m^2n^3p + 21mp^2, you can do this using the following steps:

13m^2n^3p + 21mp^2 = mp * (13mn^3 + 21p)

The correct result would be mp * (13mn^3 + 21p).

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Answers

Answer:

a) 52%

b) 7

Step-by-step explanation:

Total no of grids = 25

Shaded grids = 13

$a) \nPercent \; of \: Shaded\: grids = (13)/(25) * 100 = 13* 4 = 52\%\n\nb)\n80\% \: of \: 25 =0.80* 25 = 20\nNo \; of \: squares\: more\: than \: 13 = 20 - 13 = 7$

Function f(x) = ax^{2}+bx+c, where a, b, and c are some constants. Define functions g and h as follows:g(x) = f(x+ 1)−f(x)
h(x) = g(x+ 1)−g(x)
Find algebraic form of h(x)
Can anyone explain how to make it step by step?

Answers

g(x) = f(x+1) - f(x)
=[ a(x+1)^2+b(x+1)+c ] - [ax^2+bx+c]
=[ a(x^2+2x+1) +bx + b + c ] - [ax^2 + bx + c]
=[ ax^2 + 2ax + a + bx + b + c ] - [ax^2 + bx + c]
= ax^2 + 2ax + a + bx + b + c - ax^2 - bx - c
= 2ax + a + b
Therefore g(x) = 2ax + a + b
h(x) = g(x+1) - g(x)
=2a (x+1) + a + b - [2ax+a+b]
=2ax + 1 + a +b - 2ax - a - b
Therefore h(x) = 1

What is the length of the line segment that is graphed from (3, 1) to (3, 6)?

Answers

Hello,

The length of the line segment is the distance betheen the 2 points

d²=(3-6)²+(1-6)²=9+25=34 (pythagorean theorem)

d=√34

Use a model or paper and pencil to add. Write your answer in simplest form.

9/12 + 6/12

Answers

We know that 9 cows + 6 cows add up to 15 cows,
   and 9 trees + 6 trees add up to 15 trees,
   and 9 cars + 6 cars add up to 15 cars,

so we're pretty sure that

   9 twelfths + 6 twelfths add up to 15 twelfths.

   9/12 + 6/12 = 15/12

It wants us to simplify the answer, so
we can divide top and bottom by 3 :

   15/12 = 5/4 = 1 and 1/4 .

9/12 + 6/12 = 15/12 = 1 3/12 = 1 1/4

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?