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son4ous [18]
3 years ago
14

The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.

Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

5/4

Step-by-step explanation:

Rise over run you go up 5 and left 4 so 5/4 is the ROC.

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Find the measures of two angles, one positive and one negative, that are coterminal with <img src="https://tex.z-dn.net/?f=%5Cfr
aleksandrvk [35]

Answer:

a. 11/5 pi; -9/5 pi

Step-by-step explanation:

Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).

From the example we can see that the following expressions must be fulfilled:

positive angle - reference angle = 360°

reference angle - negative angle = 360°

where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,

positive angle - pi/5 = 2 pi

positive angle = 2 pi + pi/5

positive angle = 11/5 pi

pi/5 - negative angle = 2 pi

negative angle = pi/5 - 2 pi

negative angle = -9/5 pi

5 0
3 years ago
On a bicycle, Miranda rides for 4 hours and is 50 miles from her house. After riding for 6 hours, she is 74 miles away. What is
Vera_Pavlovna [14]
<h2> Miranda's rate is 12 hours per mies.</h2>

Step-by-step explanation:

Given by question,

Miranda began her ride from home merely that she was 50 miles away from home after 4 hours of riding.

To find, Miranda's rate = ?

2 hours later she was 974 miles from home.

∴ 2 hours she rode = 74 miles - 50 miles

Miranda rides 24 miles in 2 hours.

∴ Miranda rides  in 1 hour = \dfrac{24}{2} \dfrac{miles}{hour}

= 12 \dfrac{miles}{hour}

Thus, Miranda's rate is 12 hours per mies.

3 0
3 years ago
7(-3 + 2u) simplified
Allushta [10]
<span>7(-3 + 2u) simplified is </span>-21+14u
4 0
3 years ago
5+2 root 3 / 7+4 root 3 =a-6root3
STALIN [3.7K]

Answer:

<h2>a = 11</h2>

Step-by-step explanation:

\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3

8 0
3 years ago
The initial price for wingstop is $40. After using a 30% discount, what is the<br> new cost?
Natali [406]

Answer:

$28 dollars is the new cost

Step-by-step explanation:

$40 - 30% = $28

6 0
3 years ago
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