HELPP ITS IMPORTANT

tiny-mole [99]

A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.
$\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{d}+\dfrac{c}{d}\cdot\dfrac{b}{b}\\\\=\dfrac{ad+bc}{bd}$

Here, you have
$\dfrac{-5}{4}-\dfrac{-1}{6}=\dfrac{-5\cdot6-(-1)\cdot4}{4\cdot6}=\dfrac{-26}{24}\\\\=\dfrac{-13}{12}=-1\frac{1}{12}$

The sum is -1 1/12

3 0

2 years ago

between 1995 and 2006, the population of samburg, usa(in thousands) can be modeled by f(x) = 0.35x(squared) - 2.1x+15.8 where x=

Juli2301 [7.4K]

$\bf f(x)=0.35x^2-2.1x+15.8\qquad 
\begin{cases}
x=\textit{year since 1995}\\
f(x)=\textit{population amount}
\end{cases}$

the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.

the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex

well $\bf \begin{array}{llll}
f(x)=&0.35x^2&-2.1x&+15.8\\
&\quad \uparrow &\quad \uparrow&\uparrow \\
&\quad a&\quad b &c
\end{array}
\\\\

\\\\
\qquad \textit{vertex of a parabola}\\ \quad \\
\qquad 

\left(\boxed{-\cfrac{{{ b}}}{2{{ a}}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

5 0

3 years ago

What is the volume of this triangular prism 20 mm 10 mm 8 mm

Nimfa-mama [501]

Answer:

Um I Dont Know

Step-by-step explanation:

5 0

2 years ago

I have this point: (-1,2) and my slope is undefined. How would I write my equation in point-slope form: y - y^1 = m (x -x^1)? Th

tiny-mole [99]

Answer:

x = -1

Step-by-step explanation:

Given the point, (-1, 2), and that the slope is undefined.

The standard linear equation of vertical lines is x = a, where the x-intercept is (a, 0), and the slope is undefined because all points on the line have the same x-coordinate. Attempting to solve for the slope of a vertical line using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), will result in a mathematical operation of division by zero (which is an undefined operation).

Since the slope is undefined, then it is not possible to create a linear equation in either the slope-intercept form, or point-slope form.

Therefore, the equation of a vertical line given the point, (-1, 2) is x = -1.

7 0

2 years ago

Find the nth term of this sequence 2 5 8 11 14 ...

mariarad [96]

Each number is added by 3 so it's 17 20 23 26 29 32 35 38 41 and so on.

8 0

3 years ago

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