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worty [1.4K]
3 years ago
12

Express the surface area of the box as a function of the length (x) of a side of the base.

Mathematics
1 answer:
nlexa [21]3 years ago
5 0
Surface area  is one side to the power of 2

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Write equation for (-6,5) and (-3,-3)
navik [9.2K]

Answer:

y=-\frac{8}{3}x-11

Step-by-step explanation:

Given:

Two points on a line are given as:

(-6, 5) and (-3, -3)

Now, equation of a line with two points (x_1,y_1)\ and\ (x_2,y_2) is given as:

y-y_1=m(x-x_1)

Where, 'm' is the slope and is given as:

m=\frac{y_2-y_1}{x_2-x_1}

Now, plugging the value of 'm' in the above equation, we get:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Here, (x_1,y_1)=(-6,5)\ and\ (x_2,y_2)=(-3,-3)

y-5=(\frac{-3-5}{-3-(-6)})(x-(-6))\\\\y-5=(\frac{-8}{-3+6})(x+6)\\\\y-5=\frac{-8}{3}(x+6)\\\\y-5=-\frac{8}{3}x-16\\\\y=-\frac{8}{3}x-16+5\\\\y=-\frac{8}{3}x-11

Therefore, the equation of a line passing through (-6,5) and (-3,-3) is:

y=-\frac{8}{3}x-11

3 0
3 years ago
Y^2/4 + y/3 + y^2/3 - y/5
alexandr1967 [171]

Answer:

y (35y +8)

_______

 60

Step-by-step explanation:

Hope this helps.

6 0
3 years ago
The probability of Andy and Anna having lunch together is 40%. The probability of them having lunch together at least 6 days a w
Yakvenalex [24]
The probability of having lunch together is p = 40% = 0.4
The probability of not having lunch together is q = 1 - p = 0.6

Number of trials (days in a week) is n = 7
Let r = number of days in the week when Andy and Anna have lunch together.
P(r\,of\,n)=_{n}C_{r}\,p^{r}q^{n-r}

Use th graphing calculator to obtain
P(6 of 7) = ₇C₆ (0.4)⁶(0.6) = 0.017
P(7 of 7) = ₇C₇ (0.4)⁷(0.6)⁰ = 0.002


Therefore
P(at least 6 of 7) = P(1 of 7) + P(2 of 7) + ... + P(6 of 7)
 = 0.131 + 0.261 + 0.290 + 0.194 + 0.077 + 0.017 
 = 0.97 or 97%

P(at least 6 of 7) = 0.017 + 0.002 = 0.019 = 1.9%
P(exactly 6 of 7) = 0.017 or 1.7%

Answer:
The probability of having lunch at least 6 days per week is 0.019 or  1.9%.
The probability of having lunch exactly 6 times is 0.017 or 1.7%

8 0
3 years ago
Find the y-intercept of the parabola y= x^2+3/10
Viefleur [7K]

Answer:

(0, \frac{3}{10})

Step-by-step explanation:

To find the y-intercept of a graph, we can simply set the value of 'x' equal to 0. If we substitute this into the equation y= x²+3/10, we get:

y= 0²+3/10

y=3/10.

4 0
3 years ago
Read 2 more answers
The correct answer is B. Can you explain this?
Nat2105 [25]

You already have the correct answer what do you neeed


3 0
3 years ago
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