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3 years ago

URGENT WILL MARK BRAINLIEST

Mathematics

1 answer:

ira [324]3 years ago

3 0

Answer:

1. Equation: $P=90N+2,100$

2. Total pay if Henry sells 27 copies: $4,530\$$

Step-by-step explanation:

1. The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

According to the information given in the exercise, his base salary is $2,100. So you can identify that:

$b=2,100$

Since he makes an additional of $90 for every copy of he sells, you can identify that:

$m=90$

Therefore, the equation that represents this situation is:

$P=90N+2,100$

2. If he sells 27 copies, then:

$N=27$

Substituting this value into the equation, you get that his total pay would be:

$P=90(27)+2,100\\\\P=4,530$

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A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the

victus00 [196]

The width of border is 1.5 feet

<h3><u>Solution:</u></h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

$(9 + 2x)(13 + 2x) =192$

$117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0$

<em><u>Let us solve the above equation by quadratic formula</u></em>

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

For $4x^2 + 44x - 75 = 0$ , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

$\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}$

$\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}$

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

4 0

3 years ago

One ticket is drawn at random from the box. are x and y independent

slava [35]

Hello There!

As the amount is not changed, they would be independent.
However, if two were taken out then it would be dependent.

Yes, they are independent.

Hope This Helps You!
Good Luck :)

- Hannah ❤

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4 years ago

How do i find the answer to 3x-1=5x+7

-BARSIC- [3]

There is some work on a website i found.