All categories

4 years ago

Of the following equations, which equation of a line passes through the coordinates (0, 3) and has a slope of 3?

Mathematics

1 answer:

Westkost [7]4 years ago

6 0

Answer:

y=3x+3

Step-by-step explanation:

You might be interested in

The Los Angeles Times regularly reports the air quality index for various areas of Southern

Troyanec [42]

Answer:

Range = 32 ; IQR = 13 ; Variance = 92.75 ; Standard deviation = 9.63

Step-by-step explanation:

Given the data:

28, 42, 58, 48, 45, 55, 60, 49, 50

Reorderd data: 28, 42, 45, 48, 49, 50, 55, 58, 60

The range: maximum - minimum

Range = 60 - 28 = 32

Interquartile range (IQR) : Q3 - Q1

Q3 = 3/4(n+1) th term. ; n = sample size

Q1 = 1/4(n+1)th term.

Using calculator :

Q3 = 56.5 ; Q1 = 43.5

IQR = 56.5 - 43.5 = 13

The variance :

Σ(X - m)^2 / n-1

m = Σx / n

Mean, m = 435 / 9 = 48.33

Variance :

[(28-48.33)^2 + (42-48.33)^2 + (45-48.33)^2 + (48-48.33)^2 + (49-48.33)^2 + (50-48.33)^2 + (55-48.33)^2 + (58-48.33)^2 + (60-48.33)^2] / 8

= 742.0001 / 8

= 92.75

Standard deviation = sqrt(Variance):

Sqrt(92.75) = 9.63

C.)

Sample mean are very close with a slightly greater Variability in the air quality of Anaheim over Pomona

8 0

3 years ago

If f(x)=\sqrt(3x+2) , what is the equation for f-1(x)

____ [38]

If $f(x)=\sqrt{3x+2}$ then $f^{-1}(x)=(3x+2)^2$ .

Hope this helps.

4 0

4 years ago

— 9x — 5y = — 18<br>4х + 5y = 33

Scorpion4ik [409]

Answer:

74?

Step-by-step explanation:

I think this is right I don’t know for sure

8 0

4 years ago

Find the product of ( 2a2– 3b2) and ( a +b2- 3z)

Bond [772]

Answer:

$2a^3+2a^2b^2-6a^2z-3ab^2-3b^4+9b^2z$

Step-by-step explanation:

$(2a^2-3b^2)(a+b^2-3z)$

Start by distributing the $2a^2$ into all of the terms in between the second parentheses.

$2a^3+2a^2b^2-6a^2z$

Next, distribute the $-3b^2$ into all of the terms in between the second parentheses.

$-3ab^2-3b^4+9b^2z$

For the sake of simpler interpretation, I separated the two above, but they are together:

$2a^3+2a^2b^2-6a^2z-3ab^2-3b^4+9b^2z$

Since the terms are already in descending order, we do not need to rearrange them.

4 0

3 years ago

A chord of a circular clock is 48 inches long, and its midpoint is 7 inches from the center of the circle. What is the radius of

Sphinxa [80]

ANSWER

The radius is 25 inches

EXPLANATION

From the diagram, the radius of the circle is AC.

From the Pythagoras Theorem,

${r}^{2} = {7}^{2} + {24}^{2}$

$r^{2} = 49 + 576$

Simplify

$r^{2} = 625$

Take positive square root,

$r = \sqrt{625}$

$r = 25$

Hence the radius is 25 inches

8 0

3 years ago