Please answer this correctly

Use function notation to write the equation of the line

blondinia [14]

$f(x)=mx+b\to y=mx+b$

We have two points:

$(-3,\ 0);\ (-4,\ 7)$

The point slope form of the line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute

$m=\dfrac{7-0}{-4-(-3)}=\dfrac{7}{-1}=-7$

$y-0=-7(x-(-3))\\\\y=-7(x+3)\\\\y=-7x-21$

Answer:

$f(x)=-7x-21$

8 0

3 years ago

A bag contains 4 red balls, 2 green balls, 3 yellow balls, and 5 blue balls. Find each probability for randomly removing balls w

AfilCa [17]

Answer:

$\frac{15}{4802}$ , $\frac{15}{9604}$ , $\frac{9}{2401}$ , $\frac{9}{4802}$

Step-by-step explanation:

The bag has a total of (4+2+3+5) = 14 balls. Set up the proportions:

Red: $\frac{4}{14}$

green: $\frac{2}{14}$

yellow: $\frac{3}{14}$

blue: $\frac{5}{14}$

Now solve!

Removing 1 yellow, 1 red, 1 green, and 1 blue = $\frac{3}{14} \cdot \frac{4}{14} \cdot \frac{2}{14} \cdot \frac{5}{14} =\frac{15}{4802}$

Removing 1 blue, 1 green, 1 green, and 1 yellow = $\frac{5}{14} \cdot \frac{2}{14} \cdot \frac{2}{14} \cdot \frac{3}{14} =\frac{15}{9604}$

Removing 1 red, 1 red, 1 yellow, and 1 yellow = $\frac{4}{14} \cdot \frac{4}{14} \cdot \frac{3}{14} \cdot \frac{3}{14} =\frac{9}{2401}$

Removing 1 green, 1 yellow, 1 yellow, and 1 red = $\frac{2}{14} \cdot \frac{3}{14} \cdot \frac{3}{14} \cdot \frac{4}{14} =\frac{9}{4802}$

4 0

2 years ago

What is value of x<br> Enter your answer in the box.

borishaifa [10]

Answer:

x=10

Step-by-step explanation:

Lets use a ratio.

3:2 (12 to 8)

We need to scale the x+4 up 3/2 to be equal to 2x+1

(3/2) x+4 = 2x+1

1.5x+6=2x+1

-1.5x -1.5x

6=0.5x+1

-1 -1

0.5x=5

x=10

4 0

2 years ago

3(1 – 2x) > 3 – 6х help

coldgirl [10]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

inequality
distribution
PEMDAS

<h3>given:</h3>

$3(1 - 2x) > 3 - 6x$

<h3>to solve:</h3>

$x$

<h3>let's solve:</h3>

$step - 1 : define\\ 3(1 - 2x) > 3 - 6x$

$step - 2: distribute\\ 3 - 6x > 3 - 6x$

$step - 3 : \\ add \: 6x \: to \: both \: sides$

$3 - 6x + 6x> 3 - 6x + 6x$

$3 > 3$

$\therefore \: the \: statement \: is \: false \: for \: any \: value \: of \: x \: because \: both \: sides \: are \: identical$

therefore,

$x \in ∅$

4 0

3 years ago

(a) The Feelgood Gym has a monthly membership fee of $100 and it charges an addi-

Ierofanga [76]

If I use the gym for x hours in a month, the total cost in terms of x will be 1000 + x.

a. Monthly membership fee = $100

Additional amount charged = $1 per hour.

If I use the gym for x hours in a month, the total cost in terms of x will be:

= 1000 + 1(x)

= 1000 + x

b. Also, if the amount charged is $35 per month and $3.50 per hour, the total cost will be:

= 35 + 3.50(x)

= 35 + 3.5x

c. The number of hours that will give same cost will be:

1000 + x = 35 + 3.5x

Collect like terms.

1000 - 35 = 3.5x - x

965 = 2.5x

x = 965/2.5

x = 386

In 386 hours, the total cost will be the same.

Read related link on:

brainly.com/question/24515212

5 0

3 years ago