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3 years ago

Which Relation Is A Function ?

Mathematics

1 answer:

adoni [48]3 years ago

8 0

The first one because for every output there is only 1 input

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From 1980 to 2000 the consumer price index increased from 82.4 to 172.2. If a jar of peanut butter cost $1.49 in 1980 and the pr

Ivanshal [37]

Answer:

The price of the peanut butter jar in 2000 is US$ 3.11 and it increased US$ 1.62 from 1980 to 2000. The correct answer is C. 1.62.

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Customer Price Index 1980 = 82.4

Customer Price Index 2000 = 172.2

Price of a peanut butter jar 1980 = US$ 1.49

Price of a peanut butter jar 2000 = x

Price increased at the same rate as the CPI

2. Using Rule of Three we will find the price of the peanut butter jar in 2000:

x * CPI 1980 = Price of the peanut butter jar in 1980 * CPI 2000

and now let's replace with the real values:

x * 82.4 = 1.49 * 172.2

x = (1.49 * 172.2)/82.4

x = 256.578/82.4

x = 3.1138

x = 3.11 Rounding to two decimal places

The price of the peanut butter jar in 2000 is US$ 3.11.

Now let's find how much it increased from 1980 to 2000:

Price in 2000 - Price in 1980

3.11 - 1.49 = 1.62

The price of the peanut butter jar in 2000 is US$ 3.11 and it increased US$ 1.62 from 1980 to 2000. The correct answer is C. 1.62.

7 0

3 years ago

How I get x for number 7

lakkis [162]

Answer:

x = 50

Step-by-step explanation:

Angles of a triangle add up to 180°. So the third angle of the triangle on the right is:

180° − 43° − 57° = 80°

Vertical angles are congruent, so the angle on the other side is also 80°. Therefore:

x° + x° + 80° = 180°

2x° = 100°

x = 50

6 0

4 years ago

Solve for w , 14= -7/8 w , show your work

CaHeK987 [17]

Answer:

w = -16.

Step-by-step explanation:

14 = -7/8w

To isolate w on the right side we multiply both sides by -8/7:

14 * -8/7 = -7/8 * -8/7 w

-16 = w.

6 0

3 years ago

Please help algebra 2, unit: 5 Matrices

BigorU [14]

If you have a TI-83 Plus calculator . You can go to 2nd X^-1 and use the matrices

8 0

4 years ago

Section 5.2 Problem 9: Find the general solution. <img src="https://tex.z-dn.net/?f=y%27%27%20-%202y%27%20%2B%203y%20%

Ira Lisetskai [31]

Answer:

$y(x)=C_1e^{-x}+C_2e^{3x}$

Step-by-step explanation:

To solve a second-order homogeneous differential equation, we need to substitute each term with the auxiliary equation $am^2+bm+c=0$ where the values of $m$ are the roots:

$y''-2y'+3y=0\\\\m^2-2m+3=0\\\\(m+1)(m-3)=0\\\\m=-1,\:m=3$

Since the values of $m$ are distinct real roots, then the general solution is $y(x)=C_1e^{m_1x}+C_2e^{m_2x}$ .

Thus, the general solution for our given differential equation is $y(x)=C_1e^{-x}+C_2e^{3x}$ .

4 0

3 years ago