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3 years ago

How do I write the system of linear equations for this graph?

Mathematics

2 answers:

goblinko [34]3 years ago

5 0

( 1 ) First graph -

x-intercept = 2

y-intercept = -4

$y=2x-4$

[ Proof ]

$2x-4=0\\2x=4\\x=2$

For y-intercept, it's y = 0 -4 = -4

( 2 ) Second graph -

x-intercept = 2

y-intercept = 1

slope = -1/2

$y=-\frac{1}{2}x+1$

[ Proof ]

$-\frac{1}{2}x+1=0\\-x+2=0\\-x=-2\\x=2$

For y-intercept, it's y = 0 + 1 = 1

So it's y = 2x - 4

and y = -1/2x + 1

nataly862011 [7]3 years ago

4 0

Answer:y=-2x+0

Step-by-step explanation:

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Can someone help me with this question? You don’t really have to tell me the answer but just how to solve it.

Veronika [31]

part A

if the paperbacks are 40% less, that means 100% - 40% = 60%, they actually are 60% of the price of the hardcover ones.

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 24.99}}{\left( \cfrac{60}{100} \right)249.99}\implies 14.994$

part B

so, if they return it, they get 1/3 credit, if they try to sell it, is half off, which is more than 1/3. 22 got damaged.

$\bf \stackrel{\textit{damaged books at half-price}}{(22\cdot 14.994)\cfrac{1}{2}\implies 164.934}~\hfill \stackrel{\textit{damaged books at one-third price}}{(22\cdot 14.994)\cfrac{1}{3}\implies 109.956} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 164.934 - 109.956 = 54.978~\hfill$

part C

$\bf \textit{First Day}~\hfill \stackrel{hardcover}{3(24.99)}+\stackrel{paperback}{8(14.994)}+\stackrel{damaged}{3\left( 14.994\cdot \frac{1}{2} \right)} \implies 217.413 \\\\\\ \textit{Second Day}~\hfill \stackrel{hardcover}{4(24.99)}+\stackrel{paperback}{5(14.994)}+\stackrel{damaged}{8\left( 14.994\cdot \frac{1}{2} \right)}\implies 234.906 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \boxed{17.493}$

I don't think she is incorrect, $17.5 is close to $20, she didn't say it was exactly $20, just thereabouts, and 17.5 is around that much.

8 0

3 years ago

4. Find the LCM of the following numbers using prime factors:

Vadim26 [7]

Answer:

The least common multiple of 6, 15 and 40 is 120.

The least common multiple of 32, 48 and 72 is 288.

The LCM of 20 and 24 is 120.

The LCM of 30 and 90 is 90.

The LCM of 150 is 900.

Step-by-step explanation:

Steps to find LCM

Find the prime factorization of 150. 150 = 2 × 3 × 5 × 5.
Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
LCM = 2 × 2 × 3 × 3 × 5 × 5.
LCM = 900.

5 0

3 years ago

What is the selling price per widget as a function of the

zalisa [80]

Answer:

1240 widgets

Step-by-step explanation:

The value of the function at 870, the local maximum, is

= -0.02(870)2 + 34.80(870) - 4700

= -0.02(756900) + 30276 - 4700

= -15138 + 25576

= 10438

So the vertex is (870, 10438)

The cost t the company to produce 870 widgets is

C(870) = 4700 + 5.20(870) = 4700 + 4524 = 9224

So, the cost of the widgets plus the profit must be equal to the total sales, which is divided by the number of widgets reveal their individual price.

(10438 + 9224)/870 = 19662/870 = $22.60

P(x) = 7700

- 0.02x2 + 34.80x - 4700 = 7700

-0.02x2 + 34.80x -12400 = 0

x = {-34.80 ± √[(34.80)2 - 4(-0.02)(-12400)]}/2(-0.02)

x = [-34.80 ± √(1211.04 - 992)]/(-0.04)

x = (-34.80 ± √219.04)/(-0.04)

x = (-34.80 ± 14.8)/(-0.04)

x = 870 ± 370

so, $7700 in profits will be earned at either 500 widgets or 1240 widgets

6 0

3 years ago

Christopher writes the mixed number as a sum and uses the distributive property.

Zepler [3.9K]

Answer:

dunno do you know the answr??

Step-by-step explanation:

5 0

3 years ago

Which of the following set of coordinate pairs represent a function?

Kipish [7]

I'm absolutely certain that the answer is 2. (0,-4), (5,3), (-4,3), (3,2) because in a function, x does not repeat

I hope this helps, love!

5 0

3 years ago