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Natalka [10]
4 years ago
15

Please help! i dont understand

Mathematics
1 answer:
Olenka [21]4 years ago
4 0

For the first question I would say it is a slope intercept formula problem, but for some reason, I feel like that is not the answer they are looking for.

2) You know the slope (-5) and you know the y-intercept (3)

3) You could plug in your numbers to the slope equation y=mx + b

M is your slope, b is the y-intercept

There is also another strategy you could use that is far more complicated but I will explain for the 4th question

4) The first and easiest way (but it doesn't show much work) is when you plug in your numbers to the y= mx + b equation

y = -5x + 3  (as you can see, not much work)

The second way ( writing an eq in slope intercept form given a point and a slope)

  • y= -5; (0,3)

Plug in your givens to the actual slope equation y= mx + b

3 = -5 (0) + b

Do some basic algebra by multiplying -5 and 0, getting you 0.

3= 0 + b

subtract 0 from both of your sides 0-0 = 0, 3-0=3

3=b

Now you know your y intercept which is 3 and your slope was given( -5)

So your final answer is y= -5x + 3

I would suggest using the second strategy if they want you to show work even though you could just look at the points and know 3 is your y intercept. I am so sorry if this is a little confusing, it is hard to explain things through typing but I hope it helps in some way :)

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The cost for two different companies to make x candles is shown on the graph.
tia_tia [17]

Answer:

D) Quick Wick will make more candles when the cost is $600.

Step-by-step explanation:

Find the initial value (b) and the cost per candle (m), to write the equation of each line in the slope-intercept form, y = mx + b. This will help for easy comparison.

✔️Wax Art:

m = change in y/change in x

Using (10, 140) and (20, 180),

m = (180 - 140)/(20 - 10) = 40/10

m = 4

Cost per candle = $4

To find b, substitute (x, y) = (10, 140) and m = 4 into y = mx + b

140 = 4(10) + b

140 = 40 + b

140 - 40 = b

100 = b

b = 100

Initial value = $100

To get the equation, substitute m = 4 and b = 100 into y = mx + b

y = 4x + 100

✔️Quick Wick:

m = change in y/change in x

Using (10, 120) and (30, 180),

m = (180 - 120)/(30 - 10) = 60/20

m = 3

Cost per candle = $3

To find b, substitute (x, y) = (10, 120) and m = 3 into y = mx + b

120 = 3(10) + b

140 = 30 + b

120 - 30 = b

90 = b

b = 90

Initial value = $90

To get the equation, substitute m = 3 and b = 90 into y = mx + b

y = 3x + 90

Let's analyse each option given using the information we now have:

✔️Option A: INCORRECT

Cost per candle for made is $1 less for Quick Wick. I.e. cost per candle for Quick wick is $3. Cost per candle for Wax Art is $4.

✔️Option B: INCORRECT

Difference between the initial value sof the two companies = $100 - $90 = $10

✔️Option C:

Find the cost of making 50 candles for each company by substituting x = 50 into each of their equations. Thus:

Wax Art => y = 4x + 100

y = 4(50) + 100

y = $300

Wax Art will make 50 candles for $300

Quick Wick => y = 3x + 90

y = 3(50) + 90

y = $240

Quick Wick makes 50 candles for $240

As we can see, Quick wick is making 50 candles at a lower cost than Wax Art.

Therefore, option C is INCORRECT.

✔️Option D: find out how many candles (x) each company will make when the cost is $600.

Substitute y = 600 in each equation of both companies

Wax Art => y = 4x + 100

600 = 4x + 100

600 - 100 = 4x

500 = 4x

500/4 = x

x = 125 candles

Quick Wick => y = 3x + 90

600 = 3x + 90

600 - 90 = 3x

510 = 3x

510/3 = x

x = 170 candles

Quick Wick will make more candles when he cost is $600.

Therefore, option D is the only CORRECT statement of comparison.

6 0
3 years ago
What is mL BCD ?<br><br><br><br><br><br><br><br><br><br> THANK U &lt;3
Evgesh-ka [11]

m∠BCD= m∠ACB ÷ 2 = 134.76° ÷ 2 = 67.38°

Ok done. Thank to me :>

7 0
2 years ago
What is 3/8 in decimal form
forsale [732]
Simple; you want to divide 3 and 8.

3 / 8 = 0.375

And there's your answer! Remember that a fraction is just a fancy division problem! :)
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4 years ago
Read 2 more answers
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wlad13 [49]

Answer:

I think the answer is city B

Step-by-step explanation:

Hope this helps

4 0
3 years ago
ASAP need help please
Akimi4 [234]

Answer:

A or B

Step-by-step explanation:

5 0
3 years ago
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