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2 years ago

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A direct variation function contains the points (2,14) and (4,38) which equation represents the function

1 answer:

Dmitry [639]2 years ago

3 0

You are given two points on a line, and told that the function is "direct variation." You can save a lot of time by recognizing that the y-intercept here is zero (0). Thus, the line passes through the origin.

A line through (2,14) and (4,38) is NOT direct variation, because the line connecting those two points does NOT pass through the origin, and thus has a vertical intercept.

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The Bawden family is shopping for a new television. They are making their decision based on brand and size. The family has 20 po

Arte-miy333 [17]

The correct answer is b.

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12x+7<−11 AND5x−8≥4012

Arte-miy333 [17]

Answer:

No solution

Step-by-step explanation:

Given: $12x+7$ and $5x-8\geq 40$

Solve both inequality separately.

$12x+7$ Subtraction property of inequality

$12x$

$12x$

$x$

$x$

and

$5x-8\geq 40$ Addition property of inequality

$5x\geq 40+8$

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2 years ago

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Write the equation for taking away 5 from x gives 10

geniusboy [140]

Answer:

$\boxed{\sf x - 5 = 10}$

Step-by-step explanation:

Taking away 5 from x ⇒ subtracting 5 from x

$\large {\sf x - 5$

Gives 10 ⇒ result is 10

$\large {\sf x - 5 = 10$

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2 years ago

The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In

Mila [183]

Answer:

<u><em>Option b. just below 30%</em></u>

<u><em></em></u>

Explanation:

Please, see attached the <em>histogram that represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. </em>

<em />

The<em> median</em> is the value that separates the lower 50% from the upper 50% of the data.

Since there are 25 business schools, the middle value is the number 13.

The height of each bar is the<em> frequency</em> or number of business school for that acceptace rate:

The first bar has frequency of 1 school
The second bar has frequency of 3 schools: cummulative frequency: 1+3=4.
The third bar has frequency 5 schools: cummulative frequency 4 + 5 = 9.
The fourth bar has frequency 3 schools: cummulative frequency: 9+3=12.

Then, the 13th value is on the next bar, the fifth bar.

The fifth bar has acceptance rates 25 ≤ rate < 30.

That means that the median acceptance rate is greater than or equal to 25 and less than 30.

Thus, the choice is the option <em>b. just below 30%.</em>

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2 years ago

A craftsman can sell 10 jewelry sets for $500 each. He knows

liraira [26]

Answer:15

Step-by-step explanation:

Given

Craftsman sell 10 Jewelry set for $500 each

For each additional set he will decrease the price by $ 25

Suppose he sells n set over 10 set

Earning $=\text{Price of each set}\times \text{no of set}$

Earning $=(500-25n)(10+n)$

$E=5000+500n-25n^2-250n$

differentiate to get the maximum value

$\frac{dE}{dn}=-50n+250$

Equate $\frac{dE}{dn}$ to get maximum value

$-50n+250=0$

$n=\frac{250}{50}$

$n=5$

Thus must sell 5 extra set to maximize its earnings.

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2 years ago