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2 years ago

Determine the parent function

1 answer:

4 0

A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.

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Which equation represents the line that passes through points (1 -5) and (3 -17)

Fynjy0 [20]

Answer:

6x-11

Step-by-step explanation:

m=y2-y1

x2-x1

-17--5 = -12

3-1. -2

The two negatives cancel ❌

m=12

Divide by 2

m=6

y=mx+b

-5= 6 (1) + b

-5= 6 + b

Subtract (6) from both sides

b= -11

The equation for the line is 6x -11

7 0

3 years ago

D. 11=% 9 Express the following percent as fractions and decimals

padilas [110]

Answer:

11_100

0.11

iam not sure

best of luck

5 0

2 years ago

Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc

In-s [12.5K]

Answer:

$\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

$L^2 = y^2 + x^2$

$\implies L = \sqrt{y^2 + x^2}$ ,

Differentiating with respect to time (t),

$\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})$

$=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)$

$=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})$

$=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})$

Here,

$\frac{dy}{dt}=-6\text{ ft per sec}$

Also, $\frac{dL}{dt} = 0$ ( Ladder length = constant ),

$\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0$

$-6x + y\frac{dy}{dt}=0$

$y\frac{dy}{dt}=6x$

$\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Which is the required notation.

8 0

3 years ago

Deena has 2 pairs of white socks, 3 pairs of black socks, 1 pair of red socks, and 2 pairs of navy socks in her sock drawer. Eac

bonufazy [111]

Answer:

25 is the correct answer because the amount of white socks out all of the socks is 2/8 which is equal to 1/4. 1/4 is 25%.

7 0

3 years ago

Read 2 more answers

What id the sum of 2'8" + 1'6"

lidiya [134]

Interesting question about feet and inches. The best way to solve this problem is to ask yourself how many inches are in a foot. Since there are 12 inches in every foot then the length of 2'8" can be written as (2*12)" + 8". Which is 24+8 or 32 inches. The second number (1'6") can be written as (1*12)"+6" which is 18 inches. 32 + 18 = 50 inches. Or, if you want to change this back into feet and inches just divide it by 12. 50/12 is 4 R. 2. So 4'2".

3 0

3 years ago