Answer:
x = 2
x = -3/2 or -1.5
Step-by-step explanation:
For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!
First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.
The equation becomes:
x² - x - 6(2) = 0
x² - x - 12 = 0
Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).
Automatically, think of 3 and 4, because the difference between them is 1.
The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.
This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".
It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)
With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.
Answer:
8%
Step-by-step explanation:
Its still 8% of her money
Answer:
<em>The brand name television's dimensions are 32 inches by 64 inches.</em>
Step-by-step explanation:
<u>Scaling</u>
Jason is considering two similar televisions at a local store. The sizes of the generic television are 3/8 the size of the brand name.
If we knew the size of the brand name television, we would have to multiply its dimensions by 3/8, but instead, we have the dimensions of the generic television, so to find the brand name television, we multiply by 8/3.
12 inches * 8/3 = 32 inches
24 inches* 8/3 = 64 inches
The brand name television's dimensions are 32 inches by 64 inches.
The following equations is equivalent to the slope formula is A) y₂= m(x₂-x₁) + y₁.
<h3>What is slope?</h3>
The angle of inclination of a line with respect to the horizontal is quantified. In analytical geometry, a line, ray, or line segment's slope is the proportion of the vertical to the horizontal distance between any two points ("slope equals rise over run").
<h3>What is equation?</h3>
Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. We discover that the variable x has a value of 7 after solving this equation.
Given that,
Take a look at the formula below for the slope between two coordinate locations, m.
m = 
Here, slope is
m = 
Where m is the slope and y₁ and y₂ and x₁ and x₂ are coordinates of the axis.
The first step is to multiply x₂-x₁ on both sides in order to acquire y₂ on its own.
so you must add y₁ to both sides in order to get y₂ alone.
m(x₂-x₁) +y₁ = y₂.
Therefore, the following equations is equivalent to the slope formula is A) y₂ = m(x₂-x₁) + y₁.
To know more about the slope, visit:
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