Okay, here we have this:
It says that: "Seven more than four times a number (x) is less than or equal to 6"
So, let's take the number as x and from the statement we obtain the following inequality:
7+4x≤6
And as it contains a variable the inequality is open by definition
Answer:
<em>The distance from the point to the line is approximately 3.2 units</em>
Step-by-step explanation:
<u>Distance From a Point to a Line</u>
Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.
If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

The line is given by the equation:
y=3x. We need to transform it into the specified form.
Subtracting 3x:
y - 3x = 0
Comparing with the general form of the line, we have
a=-3, b=1, c=0
The point (xo,yo) is (-1,7), thus:





The distance from the point to the line is approximately 3.2 units
To solve the problem shown above it is important to know that a binomial is a polynomial that has two terms. When the highest exponent of the binomial is 2, it is a binomial with degree 2, this is also called or know as "quadratic binomial". Therefore, keeping this on mind, you must identify which of the polynomial above has degree 2.
As you can see, the answer is: <span>−6x−1 7x²</span>
Answer:

Step-by-step explanation:
Let
represent the amount of money he initially started with.
After he spent 20% on books, he will have
of his initial money left. We can represent this as
.
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have
of the remainder of money he had left after he purchased the books. Therefore, he ends up with
of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:

Divide both sides by 0.64 to isolate and solve for
:

Therefore, the boy had $3,125 to begin with.