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3 years ago

I) Domain, ii) x-intercept, iii) y-intercept, iv) vertical asymptote, and v) horizontal asymptote of

Mathematics

1 answer:

Montano1993 [528]3 years ago

7 0

Answer:

Step-by-step explanation:

i) you can't divide by 0 and when you put x=5 into the bottom part 4x-20 = 4(5)-20 = 20-20 = 0 so x cannot be 5. So the domain is x > 5 and x < 5 OR in other words, when x is not 5.

ii) substitute y=0 into the equation and solve the quadratic on top

iii) substitute x=0 into the equation and write down the value

horizontal asymptote at x=5 because we found out that x cannot be 5 in part i)

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Calculate the gradient of the line using rise/run method.

Lapatulllka [165]

Given:

The graph of line.

To find:

The gradient of the line using rise/run method.

Solution:

We know that the gradient of a line is also known as slope.

$Slope=\dfrac{Rise}{Run}$

Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.

$Rise=-3$

$Run=2$

Now,

$Slope=\dfrac{Rise}{Run}$

$Slope=\dfrac{-3}{2}$

The gradient of the line is $-\dfrac{3}{2}$ .

Therefore, the correct option is C.

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3 years ago

What is the slope of line a?

marta [7]

Answer:

-1/3

Step-by-step explanation:

Slope is defined as "rise over run". If you count out the units, you should be able to see that your rise is 1 and your run is 3 and is pointing downward, so your answer is -1/3.

Alternatively you could use Slope Formula: $m = \frac{y2-y1}{x2-x1}$

8 0

3 years ago

Read 2 more answers

Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!

sergeinik [125]

Answer:

a). 8(x + a)

b). 8(h + 2x)

Step-by-step explanation:

a). Given function is, f(x) = 8x²

For x = a,

f(a) = 8a²

Now substitute these values in the expression,

$\frac{f(x)-f(a)}{x-a}$ = $\frac{8x^2-8a^2}{x-a}$

= $\frac{8(x^2-a^2)}{(x-a)}$

= $\frac{8(x-a)(x+a)}{(x-a)}$

= 8(x + a)

b). $\frac{f(x+h)-f(x)}{h}$ = $\frac{8(x+h)^2-8x^2}{h}$

= $\frac{8(x^2+h^2+2xh)-8x^2}{h}$

= $\frac{8x^2+8h^2+16xh-8x^2}{h}$

= (8h + 16x)

= 8(h + 2x)

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4 years ago

For which value of x( from 1 to 10) is y the greatest?

qwelly [4]

10 i think..... plz don't report me

4 0

4 years ago

A sales person is given a choice of two salary plans. Plan 1 is a weekly salary of 700 plus 4% commission of sales. Plan 2 is a

bezimeni [28]

Let 's' represent the amount of sales.

Plan 1:

$\text{ \$700 + (4\% of s)}$ $\begin{gathered} \text{ \$700+(}\frac{\text{4}}{100}\times s) \\ \text{ \$700+(0.04}\times s)=\text{ \$700}+0.04s \end{gathered}$

Plan 2:

$12\text{ \% of s}$ $\begin{gathered} \frac{12}{100}\times s \\ 0.12\times s=0.12s \end{gathered}$

Equating the two plans together and solving for the amount of sales,

$\begin{gathered} \text{Plan 2=Plan 1} \\ 0.12s=\text{ \$700+0.04s} \\ \end{gathered}$

Collecting like terms,

$\begin{gathered} 0.12s-0.04s=\text{ \$700} \\ 0.08s=\text{\$700} \end{gathered}$

Divide both sides by 0.08,

$\begin{gathered} \frac{0.08s}{0.08}=\frac{\text{ \$700}}{0.08} \\ s=\text{ \$8750} \end{gathered}$

Hence, the amount of sales is $8,750.

6 0

1 year ago