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il63 [147K]
3 years ago
13

How would you solve this problem? (Worth 10 points, pls help!)

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Answer:

(22,0)

Step-by-step explanation:

1. Select any two points given and find their slope (rise/run)

       (-38, 40) and (-23, 30)

      slope =   \frac{40-30}{-38-(-23)} = - 2/3

2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.

    y = mx + b ⇒ 40 = -2/3 (-38) + b

3. Solve for b

   40 = -2/3 (-38) + b

   40 = 76/3 + b

   40 - 76/3 = b

   b = 44/3

4. To find the x-intercept, set y = 0, and solve.

   y = -2/3 x + 44/3

   0 = -2/3 x + 44/3

   2/3 x = 44/3

   x = 22

Hope this helped!

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Determine whether the statement is true or false. If f and g are positive increasing functions on an interval I, then fg is incr
Leno4ka [110]

Answer: false

Step-by-step explanation:

If f and g are increasing on I, this implies that f' > 0 on I and g' > 0 on I. That is both f' and g' have a positive slope. However,

Using product rule;

(fg)' = fd(g) + gd(f)

(fg)' = f * g' + f' * g

and although it is given that g' and f' are both positive we don't have any information about the sign of the values of the functions themselves(f and g). Therefore, if at least one of the functions has negative values there is the possibility that the derivative of the product will be negative. For example;

f = x, g = 5x on I = (-5, -2)

f' = 1 and g' =5 both greater than 0

f and g are both lines with positive slopes therefore they are increasing, but f * g = 5x^2 is decreasing on I.

6 0
3 years ago
Pls solve this for me :(
Rus_ich [418]

Answer:

33.83

Step-by-step explanation:

This is because if you trying to find h and the opposite side, you will have to use cos to get that answer. My using this equation

\cos(31)  =  \frac{29}{x}

You will find that x will equal 33.83

Hope this Helped

6 0
3 years ago
Which equation describes a linear function
yarga [219]

Answer:

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8 0
3 years ago
Two urns each contain green balls and blue balls. Urn I contains 4 green balls and 6 blue balls, and Urn II contains 6 green bal
Morgarella [4.7K]
Urn 1 = 4 green balls and 6 blue balls, a total of 10 balls
Urn 2 = 6 green balls and 2 blue balls, a total of 8 balls.

Probability of blue balls:
Urn 1 : P = 6/10 
Urn 2 : P = 2/8 

Probability that both balls are blue:
6/10 * 2/8 = 6*2 / 10*8 = 12/80 = 6/40 = 3/20 

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3 0
3 years ago
F(x)=17-5x at x=8 Help me plz​
OLEGan [10]
The derivative is -5
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3 years ago
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