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bearhunter [10]

3 years ago

13

For all x>0,

mula1" title=" \frac{1}{1 + \frac{1}{x} } " alt=" \frac{1}{1 + \frac{1}{x} } " align="absmiddle" class="latex-formula">

1 answer:

Aleksandr-060686 [28]3 years ago

3 0

Answer:

G. \frac{x}{x+1}

Step-by-step explanation:

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Helen’s father’s car can travel an average of 18.5 miles on 1 gallon of gasoline. Gas at the local station costs $3.79 per gallo

AlexFokin [52]

9514 1404 393

Answer:

2.64 gallons

Step-by-step explanation:

Each gallon costs $3.79, so the number of gallons that can be bought with $10 is ...

$10/($3.79/gal) = (10/3.79) gal ≈ 2.6385 gal ≈ 2.64 gallons

5 0

3 years ago

You roll a fair number cube. Find each probability:

avanturin [10]

Answer:

P(2, then 2) = $\frac{1}{36}$

P(3, then 5) = $\frac{1}{36}$

P(4, then odd) = $\frac{1}{12}$

Step-by-step explanation:

Given: A fair number cube is rolled

To find: P(2, then 2) , P(3, then 5) , P(4, then odd)

Solution:

Probability refers to chances of occurrence of some event.

Probability = Number of favourable outcomes/Total number of outcomes

Sample space = $\left \{ 1,2,3,4,5,6 \right \}$

Total number of outcomes = 6

P(2, then 2) = P(2)P(2) = $\frac{1}{6}(\frac{1}{6})=\frac{1}{36}$

P(3, then 5) = P(3)P(5) = $\frac{1}{6}(\frac{1}{6})=\frac{1}{36}$

Odd numbers out of the sample space = $\left \{ 1,3,5 \right \}$

P(4, then odd) = P(4)P(odd) = $(\frac{1}{6})(\frac{3}{6} )=\frac{1}{12}$

7 0

3 years ago

Can someone please help me with this

Korolek [52]

Answer:

7

Step-by-step explanation:

Multiply -8 and -3 and that would be 24 and you put that over 1 and then you have to have a common denominator which would be 4 and multiply that by 24 and you get 96 and then you would do 96 - 68 and you get 28 you don't subtract the denominator you just leave it and then it would be 28 over 4 and then you divide that to get 7.

4 0

3 years ago

Hello I need help with this, Don Manuel has 600m of fence to build a rectangular-shaped corral. You will take advantage of a ver

Anton [14]

Answer: If the wall is 300 meters long, the dimensions of the fence with the maximum area will be 300 × 150 = 45000 m²

Step-by-step explanation:

try combinations in a chart

190 × (600-190)/2 = 38950 = 190 × 205 increasing area

200 × (600-200)/2 = 40000 = 200 × 200

220 × (600-220)/2 = 41800 == 220 × 190

240 × (600-240)/2 = 43200 == 240 × 180

260 × (600-260)/2 = 44200 == 260 × 170

280 × (600-280)/2 = 44800 . == 280 × 160

<u>300 × (600-300)/2 = 45000 == 300 × 150</u> Maximum Area

310 × (600-310)/2 = 44950 . == 310 × 145 decreasing area

320 × (600-320)/2 = 44800 . == 320 × 140

5 0

3 years ago

What is the equation of the graphed line written in

Andrew [12]

<u>Given</u>:

Given that the graph of the linear equation.

We need to determine the equation of the graph.

<u>Slope</u>:

The slope of the equation can be determined using the formula,

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

Let us substitute the coordinates (2,0) and (0,-4) in the above formula, we get;

$m=\frac{-4-0}{0-2}$

$m=\frac{-4}{-2}$

$m=2$

Thus, the slope of the equation is 2.

<u>y - intercept:</u>

The y - intercept of the equation is the value of y when x = 0.

Hence, from the graph, it is obvious that when x = 0, the value of y is -4.

Therefore, the value of the y - intercept is b = -4.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting the values, we have;

$y=2x-4$

Subtracting both sides by 2x, we have;

$-2x+y=-4$

Dividing both sides by -1, we get;

$2x-y=4$

Thus, the equation of the line is $2x-y=4$

Hence, Option B is the correct answer.

3 0

3 years ago