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3 years ago

Find the slope of the line on the graph .

Mathematics

2 answers:

liraira [26]3 years ago

8 0

Answer:

y=1/2x-1

Step-by-step explanation:

gtnhenbr [62]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

the line rises 1 and runs 2 so the slope is 1/2

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Preform the operation (answer in a+bi form) (i meaning imaginary number).

grin007 [14]

$(3+\sqrt9)(2-\sqrt{-25})=\\
(3+3)(2-5i)=\\
6(2-5i)=\\
12-30i$

7 0

3 years ago

In the supply-and-demand schedule shown above, at a price of $150, the quantity supplied of video games is _____ and the quantit

yawa3891 [41]

Answer:

Hello,

I believe that your answer is A. (250,100)

Hope this helps

8 0

3 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

3 years ago

Write an exponential function in the form y=ab^x that goes through points (0,14) and (3,3024).

Dmitrij [34]

Answer:

y = 14 $(6)^{x}$

Step-by-step explanation:

For an exponential function of the form y = a $b^{x}$

Use the given points to find a and b

Using (0, 14 ), then

14 = a $b^{0}$ ( $b^{0}$ = 1 ) , thus

a = 14

y = 14 $b^{x}$

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = $\sqrt[3]{216}$ = 6 , thus

y = 14 × $6^{x}$ ← exponential function

5 0

3 years ago

Find the least number must be added to 4015 to make it a perfect square. also,find the square root of the perfect square so obta

Vladimir [108]

To solve this, I used guess and check.

I started by finding 60²=3600 and 70²=4900. 70² is too much, so I then did 65²=4,225.

After 65², I did 62²=3,844. I knew that was pretty close, so I did 64. 64²=4,096 and 63²=3,969. So, 64² was it.

4,096-4015=81

So, you would need to add 81 to 4015 in order to receive a perfect square, which is 64²(4,096).

7 0

3 years ago