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Hoochie [10]
2 years ago
9

6. a. Name a pair of equations that have exactly one point of intersection. How do you know?

Mathematics
1 answer:
True [87]2 years ago
4 0

Answer:

A system of linear equations will have exactly one point of intersection, for example:

2x+y=5

-x+y=2

However, a system of linear equations with no solution will have no points of intersection, for example:

-4x+10y=6

2x-5y=3

Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe

And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)

I attached a photo below, and one of how to graph it

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What’s 2percent of 300
love history [14]

Answer:

6

Step-by-step explanation:

2%=0.02

0.02*300=6

7 0
3 years ago
Which function models the area of a rectangle with side lengths of 2x - 4 units and x + 1 units?
aalyn [17]

Answer:

Area of rectangle, f(x)=2x^2-2x-4.

Step-by-step explanation:

We are given with side lengths of a rectangle are (2x-4) units and (x+1) units. It is required to find the area of rectangle.

The area of a rectangle is equal to the product of its length and breadth. It is given by :

A=L\times B

Let us consider, L = (2x-4) units and B = (x+1) units

Plugging the side lengths in above formula:

A=(2x-4)\times (x+1)

A=2x^2+2x-4x-4\\\\A=2x^2-2x-4

So, the function that models the area of a rectangle is f(x)=2x^2-2x-4.

5 0
3 years ago
Use the function g(x)-x+2 with initial values of 4, 2, and 1. What happens
kolezko [41]

Answer:

Step-by-step explanation:

The given function is , g(x)= - x + 2

For values of ,   is the sequence, -2,4,-2,4,-2,4........

For values of ,   is the sequence, 0,2,0,2........

For values of ,   is the sequence, 1,1,1,1,........

For initial value, of 4,the sequence converges to two values that is -2, 4.

For initial value of 2, the sequence again converges to two values which are 0,2.

For initial value of 1, the sequence converges to one value which is 1.

→→First Iterative value that is (-2)=Second iterative value (0) + 2 ×Third iterative value(1)

→→ First Iterative value that is (4)=Second iterative value (2) + 2 ×Third iterative value(1)

4 0
3 years ago
Assuming x=0 and y=0, what is the quotient of 24^6y^2 + 16x^4y^3 + 8x^2y^4
Tcecarenko [31]
There is no quotient: if x is equal to zero, then your problem would simplify to a number divided by zero. As it is impossible to divide by zero, there is no answer.

6 0
3 years ago
Read 2 more answers
For the following exercises, determine whether the functions are even, odd, or neither.
stealth61 [152]

Answer:

The solutions of the equation |2 x-3|=17

are x=10

and x=-7

Step-by-step explanation:

Given equations is |2 x-3|=17.

It is required to find out the values of x satisfying the given equation.

To find it out, use the fact that the solution of this type of equation is 2x-3=17.

Or 2x-3=-17 and simplify the equations using simple mathematical operations.

Step 1 of 2

Solve the equation 2x-3=17,

Add 3 on both sides of the equation 2x-3=17,

2x-3+3=17+3

2x=20

Divide by 2 on both sides of the equation 2x=20,

$$\begin{aligned}&\frac{2 x}{2}=\frac{20}{2} \\&x=10\end{aligned}$$

Step 2 of 2

Solve the equation 2x-3=-17,

Add 3 on both sides of the equation 2x-3=-17,

$2 x-3+3=-17+3$\\ $2 x=-14$

Divide by 2 on both sides of the equation 2x=-14,

$$\begin{aligned}&\frac{2 x}{2}=\frac{-14}{2} \\&x=-7\end{aligned}$$

6 0
2 years ago
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