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Natasha_Volkova [10]
2 years ago
7

A line intersects the point (0,3) and has a slope of 0. What is the slope intercept equation for this line?

Mathematics
1 answer:
deff fn [24]2 years ago
5 0

the slope intercept form is y=mx+b

since the line intersects at (0,3) b= 3

since the slope is 0 m= 0

so the equation would be y=0x+3 or y=3

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I’m confused can somebody answer this?
Arisa [49]

14 is the asnwer because sqaure root of 200 is 14.14213562 and if you round that it is 14

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2 years ago
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Another question I Have tons more coming lol but 16 quarts = ____ cups <br><br><br> help!!
Minchanka [31]

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2 years ago
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For the graph, what is a reasonable constraint so that the function is at least 200?​
Anastasy [175]

Answer:

0\leq x\leq 15

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one

<em>For the graph below, what should the domain be so that the function is at least 200?   graph of y equals minus 2 times the square of x plus 30 times x plus 200 </em>

My answer:

Given the above information, we have:

y=-2x^2+30x+200

To make  the function is at least 200, it means that:

y=-2x^2+30x+200 ≥ 200

<=> -2x^2+30x ≥ 0

<=> x(-2x+30) ≥ 0

This is the product of two numbers hence would be positive only if either both are positive or both are negative

  • Case I: Both positive

x ≥ 0 and  (-2x+30) ≥ 0

<=> 0 ≤ x ≤ 15

  • Case II: Both negative

Then we get

x\leq 0 and -2x+30\leq 0\\\\x\leq 0 and x\geq 15

This is inconsistent as a value cannot be less than 0 and greater than 15

=> our correct answer is0\leq x\leq 15

Hope it will find you well.

3 0
3 years ago
Question 3 Unsaved
bazaltina [42]

Answer:

Step-by-step explanation:

DE given is

y''+8y'+15y=0, y(0)=0, y'(0)=1

Take Laplace on the DE

We get

s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}

Simplify to get

Y(s) = \frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]

Take inverse

y(t) = \frac{e^{-3t} -e^{-5t}}{2}

8 0
3 years ago
Since water weighs 8.355 pounds to the gallon how much do 9.4 gallons weigh?
BabaBlast [244]

Answer:78.396 pounds

Step-by-step explanation:

3 0
3 years ago
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