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Marty and Ethan both wrote a function, but in different ways.

marishachu [46]

Question:

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

Answer:

Marty’s with a slope of 1/3 has the larger slope

Solution:

Given that Marty equation is:

$y + 3 = \frac{1}{3}(x+9)$

The point slope form is given as:

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

On comapring both equations,

$m = \frac{1}{3}$

Ethan wrote a function:

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

The slope is given by formula:

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

From above two points,

$(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)$

Therefore,

$m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2$

Thus we get,

$\text{Slope of Ethan} < \text{Slope of Marty}$

Therefore, Marty’s with a slope of 1/3 has the larger slope

4 0

3 years ago

Read 2 more answers

A manager in a call center needs to determine how many agents to schedule next week.

lukranit [14]

Answer:

Number of calls expected in next week by manager = 7940

Average Number of calls that call center agent will attend in an hour =7 calls

It is also given that, Call center remain open for 10 hours 5 days a week.

Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week ,Part time agents work 20 hours a week but are only on calls 17 hours per week .

⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940

⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940

Option A

⇒35×15×7+17×7×15

= 3675+1785

= 5460

Option B

⇒35 ×7×20+17×7×7

=4900 +833

= 5733

Option C

⇒35×20×7 +17×20×7

=4900+2380

=7280

Option D

⇒25 × 35×7+17×7×5

=6125 +595

=6720

Option E

⇒28×35×7+17×7×10

=6860+1190

=8050

Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.

7 0

3 years ago

Nine more than the product of 22 and Gordons height

OverLord2011 [107]

Answer:

9 + 22h

Explanation:

The question is incomplete as Gordon's height is not given. To solve further, we will represent this height with h

So, we have:

nine more than the $product$ of 22 and $Gordons\ height$

More than, in this case means plus (+)

nine + the $product$ of 22 and $Gordons\ height$

Rewrite nine as 9 and substitute h for Gordons height

9 + the $product$ of 22 and h

product, in this case means multiplication (*)

9 + 22 * h

So, the expression is:

9 + 22h

7 0

3 years ago

The midpoint of DG is M(-1,5). One endpoint is D(1,4). Find the

irina1246 [14]

Answer:

G(-3, 6)

Step-by-step explanation:

$midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

Substitute the coordinates of M and D into the formula:

$( - 1,5) = ( \frac{x1 + 1}{2} , \frac{y1 + 4}{2} ) \\- 1=\frac{x1 + 1}{2}& ,&5&= \frac{y1 + 4}{2} & \\ - 1(2)= x1 + 1&, & 5(2) &= y1 + 4 &\\ - 2= x1 + 1&, &10 &= y1 + 4 &\\ x1= - 2 - 1&,& y1 &= 10 - 4 &\\ x1= - 3&, &y1& =6 \: \: \: \: \: \: \: \: \: \: &$

Thus, the coordinates of G is (-3,6).

8 0

3 years ago

5 cm 7 cm 15 cm What is the surface area of the figure? by square centimeters

kow [346]

Is this a right triangle or triangle is solving for?

6 0

3 years ago