Which of the following scenarios has a lower y-intercept than y = 4x + 5 ?(a.) A 50 gallon tub is draining. Every 2 minutes, the amount of water decreases by 2 gallons.

(b.) Reginaldo had $17 in his account and for every book he buys, it costs him $4.

(c.) Sydney has collected 8 postcards. Each time a friend comes to visit, Sydney gives her a postcard.

(d.) Owen has 3 pets. He receives a new pet each time he has a birthday.

Answers

Answer 1

Answer: Comment
The key to this question is "What do you start with?" All of them (except D) start with something and then a condition reduces the starting point.
A
The condition (at zero) starts with 50 gallons. Every 2 minutes the amount taken away is 2 gallons.
The equation looks like this
y = -2x + 50
So what do you start with? You started with 50 gallons. That's your y intercept. It's big. A is NOT the answer.

B
Renaldo starts with 17 dollars. He hasn't done anything, and he still has 17 dollars. If he buys a book, he has 4 dollars less. So his equation is
y = -4x + 17. The y intercept is 17 if he has bought no books. The answer is NOT B

C
Sydney starts with 8 postcards. Every time a friend comes, Sydney has 1 less post card. Her equation is
y = 8 - x That's not the answer either.

D
What do you start with? 3 pets, correct? Every birthday Owen get's one more. But the starting point is three. So his equation is
y= 3 + x where x is the number of birthdays.
D has the lowest starting point.

D <<<< Answer

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Henry has 3 black shirts and 7 blue shirts in his wardrobe. Two shirts are drawn without replacement from the wardrobe. What is the probability that both of the shirts are black?

Answers

Answer:

The probability that both of the shirts are black is $(1)/(15)$

Step-by-step explanation:

Given : Henry has 3 black shirts and 7 blue shirts in his wardrobe. Two shirts are drawn without replacement from the wardrobe.

To find : What is the probability that both of the shirts are black?

Solution :

Number of black shirts = 3

Number of blue shirt = 7

Total number shirts = 3+7=10

The probability that first shirts is black is $(3)/(10)$

Two shirts are drawn without replacement from the wardrobe.

Number of black shirt left = 2

Total shirts = 9

The probability that second shirts is black is $(2)/(9)$

So, The probability that both of the shirts are black is

$P=(3)/(10)*(2)/(9)$

$P=(6)/(90)$

$P=(1)/(15)$

Since there are three black shirts and 7 blue shirts, he has a 3/10 chance of picking a black.

What is the solution set for the inequality |-3-5x|-8<-2

Answers

$|-3-5x|-8<-2\n|-3-5x|<6\n-3-5x<6 \wedge -3-5x>-6\n-5x<9 \wedge -5x>-3\nx>-(9)/(5) \wedge x<(3)/(5)\nx\in\left(-(9)/(5),(3)/(5)\right)$

The hard way:

$\left| -3-5x \right| -8<-2\n \n \left| -3-5x \right| <6\n \n { \left( -3-5x \right) }^( 2 )<{ 6 }^( 2 )\n \n \left( -3-5x \right) \left( -3-5x \right) <36$

$\n \n 9+15x+15x+25{ x }^( 2 )<36\n \n 25{ x }^( 2 )+30x+9<36\n \n 25{ x }^( 2 )+30x-27<0\n \n Say\quad f\left( x \right) =25{ x }^( 2 )+30x-27,\n \n and\quad that\quad f\left( x \right) =0$

$\n \n 25{ x }^( 2 )+30x-27=0\n \n 25{ x }^( 2 )+30x=27\n \n { x }^( 2 )+\frac { 30 }{ 25 } x=\frac { 27 }{ 25 } \n \n { x }^( 2 )+\frac { 6 }{ 5 } x=\frac { 27 }{ 25 } \n \n { \left( x+\frac { 3 }{ 5 } \right) }^( 2 )-{ \left( \frac { 3 }{ 5 } \right) }^( 2 )=\frac { 27 }{ 25 }$

$\n \n { \left( x+\frac { 3 }{ 5 } \right) }^( 2 )=\frac { 36 }{ 25 } \n \n x+\frac { 3 }{ 5 } =\pm \frac { 6 }{ 5 } \n \n x=-\frac { 3 }{ 5 } \pm \frac { 6 }{ 5 }$

$Therefore:\n \n x=\frac { 3 }{ 5 } \quad and\quad x=-\frac { 9 }{ 5 } \quad when\quad f\left( x \right) =0\n \n Now:\n \n f\left( x \right) <0,\n \n$

When:

-9/5<x<3/5

Can anyone help please????

Answers

Answer:

Option A. $(f_of^(-1))(-2)=-2$

Step-by-step explanation:

Point to remember while solving the question of function,

$(f_of^(-1))(x)=x$

Here, 'f' is the parent function and $f^(-1)$ is the inverse of the function 'f'.

So for the given function,

f(x) = 2x - 2

$(f_of^(-1))(x)=x$

For x = -2

$(f_of^(-1))(-2)=(-2)$

Therefore, Option A will be the correct answer.

Which is the graph of y = |3x| - 2?

Answers

Answer: the third graph

Step-by-step explanation:

Ok so one way to do this is by plugging in points which is long but easiest. So since it’s the absolute value, whenever it passes the y- axis to the negative side, it will go up. So we know it’s either the third or last. The y intercept is -2, and the graph with that is the third.

Answer:

The third option.

Step-by-step explanation:

my final balance after 48 months was $896.00.If i originally put $800.00 into the bank. what was the interest rate

Answers

the interest rate is $96.00

a,square garden is 10feet long. how much willit vost to install a fence around the garden if the fence vost $1.75 per foot

Answers

perimiter is 4s since square is 4 equal sides

s=10
P=4*10=40 feet

40 times 1.75=70

$70

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