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3 years ago

Couldn’t figure this out, please help

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

7 0

(A)

Step-by-step explanation:

This system of equations will no solution if they have the same slope and only differ in the y-intercept values. So let's rewrite the two equations into their slope-intercept forms:

$y = \frac{3}{h-2}x + 5$

$y = \frac{8}{h}x + \frac{5}{h}$

For them to have no solution, their slopes must equal each other:

$\dfrac{3}{h-2} = \dfrac{8}{h} \Rightarrow 3h=8h-16$

$h = \dfrac{16}{5}$

Putting this value into our system of equations, we get

$y = \frac{5}{2}x + 5$

$y = \frac{5}{2}x + \frac{25}{16}$

This is a system of equations consisting of two parallel lines and as such, do not intersect and so, no solution.

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The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00

xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

$2.50x + 0.75y \leq22$

Now, if there are three people in the group we have that $x = 3.$

$2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33$

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

$2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8$

Thus, they could travel a maximum of 5 people.

ANswer:

$2.50x + 0.75y \leq22$

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

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3 years ago

If the central angle θ of a circle that subtends an intercepted arc is measured in degrees, then the constant of proportionality

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Answer:

B.)

Step-by-step explanation:

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Korvikt [17]

Answer:

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Step-by-step explanation:

If the equation for the line is y = $2^{x}$ , whatever the power/exponent "x" equals, then y is equal to however many times 2 is multiplied by x.

For example, if our domain is {-1, 0, 1 , 2, 3}

then we would plug in each x value into the exponent to find the y-value in order to plot the points to solve the problem.

If x = -1, then y = 1/2. **If there is an a negative exponent it would get turned into a positive fraction with the denominator as the positive version of that number.

$y = 2^{-1} = \frac{1}{2^{1} } = \frac{1}{2}$

If x = 0, then y = 1

**When the exponent is 0, the number automatically equals 1.

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If x = 2, then y = 4

If x = 3, then y = 8

So you would plot the following coordinates on the graph:

$(-1, \frac{1}{2})$

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(2, 4)

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