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3 years ago

What does slope intercept form means......

Mathematics

2 answers:

laiz [17]3 years ago

5 0

Answer:

Step-by-step explanation:

because i know

Lana71 [14]3 years ago

5 0

C
Because slope intercept form is y=Mx+b

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Jessica gets her favorite shade of purple by mixing 1/3 cup of blue with 1/2 of red. How many of blue and red paint does Jessica

Vitek1552 [10]

Answer:

8 cup of blue

12 cup of red

Step-by-step explanation:

The first thing is to calculate how much black paint is produced, assuming that the volumes add up, we have to:

1/2 + 1/3 = 5/6

5/6 cup of paint is produced, I want to know how much I need to produce 20 cups, I divide the value I want by the ideal value, that is, 5/6 and thus I obtain the factor that I require:

20 / (5/6) = 24

Now I multiply by 24 each quantity of blue and red paint

1/2 * 24 = 12

1/3 * 24 = 8

Which means you need 12 cups of red paint and 8 cups of blue paint

8 0

3 years ago

A tank full of water is leaking at a constant rate for 30 minutes. The equation

ankoles [38]

Answer: A. There were 500 liters in the tank when the leak started, and it is decreasing by 9 liters per minute.

Step-by-step explanation:

This equation is in the form; y =mx + c.

c in this equation is the value of y when x is at 0.

c in the above formula is 500 which means that the number of litres (y) at zero minutes(x) is 500 litres.

m is the rate of change as a result of a change in x.

m in this equation is -9 which means that the water is reducing by 9 litres every minute (x).

3 0

3 years ago

Before the pandemic cancelled sports, a baseball team played home games in a stadium that holds up to 50,000 spectators. When ti

spayn [35]

Answer:

(a) $D(x)=-2,500x+60,000$

(b) $R(x)=60,000x-2500x^2$

(d)Optimal ticket price: $12

Maximum Revenue:$360,000

Step-by-step explanation:

The stadium holds up to 50,000 spectators.

When ticket prices were set at $12, the average attendance was 30,000.

When the ticket prices were on sale for $10, the average attendance was 35,000.

(a)The number of people that will buy tickets when they are priced at x dollars per ticket = D(x)

Since D(x) is a linear function of the form y=mx+b, we first find the slope using the points (12,30000) and (10,35000).

$\text{Slope, m}=\dfrac{30000-35000}{12-10}=-2500$

Therefore, we have:

$y=-2500x+b$

At point (12,30000)

$30000=-2500(12)+b\\b=30000+30000\\b=60000$

Therefore:

$D(x)=-2,500x+60,000$

(b)Revenue

$R(x)=x \cdot D(x) \implies R(x)=x(-2,500x+60,000)\\\\R(x)=60,000x-2500x^2$

(c)To find the critical values for R(x), we take the derivative and solve by setting it equal to zero.

$R(x)=60,000x-2500x^2\\R'(x)=60,000-5,000x\\60,000-5,000x=0\\60,000=5,000x\\x=12$

The critical value of R(x) is x=12.

(d)If the possible range of ticket prices (in dollars) is given by the interval [1,24]

Using the closed interval method, we evaluate R(x) at x=1, 12 and 24.

$R(x)=60,000x-2500x^2\\R(1)=60,000(1)-2500(1)^2=\$57,500\\R(12)=60,000(12)-2500(12)^2=\$360,000\\R(24)=60,000(24)-2500(24)^2=\$0$

Therefore:

Optimal ticket price:$12
Maximum Revenue:$360,000

3 0

3 years ago

H(x) = (x2 − 49)(x + 4)

Maru [420]

Answer:

h(x) = x³ + 4x² - 49x - 196

Step-by-step explanation:

h(x) = (x² - 49)(x + 4) <== distribute

h(x) = x²(x) - 49(x) + x²(4) - 49(4)

h(x) = x³ - 49x + 4x² - 196 <== rewrite in standard form (descending degrees)

h(x) = x³ + 4x² - 49x - 196

Hope this helps!

8 0

2 years ago

Explain how you would round the numbers 33 and 89 estimate their sum

Feliz [49]

So 33 rounds to 30, because 3 is less than 5. 89 rounds to 90, because 9 is greater that 5.

then do this:

30
+90
____
120

120 is your answer! I hope I helped you!

3 0

3 years ago

Read 2 more answers