All categories

2 years ago

Write the equation for a line that has an initial value of 3 and 3/4 as it’s rate of change

Mathematics

1 answer:

frutty [35]2 years ago

3 0

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

initial value of 3, namely when x = 0, y = 3, so we have the point (0 , 3) and it has a rate or slope of 3/4.

$(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{3}{4}}(x-\stackrel{x_1}{0})\implies y=\cfrac{3}{4}x+3$

You might be interested in

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178

dangina [55]

Answer:

$2S+178\ge 2,000,$

$[911,\infty).$

Step-by-step explanation:

Let S be the number of cans that Shane had collected.

Abha had collected 178 more cans than Shane did, then Abha had collected S+178 cans.

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling, this means that

$S+S+178\ge 2,000,\\ \\2S+178\ge 2,000.$

Solve this inequality:

1. Divide it by 2:

$S+89\ge 1,000.$

2. Now

$S\ge 1,000-89,\\ \\S\ge 911.$

The solution set is $[911,\infty).$

6 0

2 years ago

I need help with this question on a math test

Tomtit [17]

large square: 144

Medium square: 100

small square: 9

3 0

3 years ago

A chemist mixed 5 mL of Solution A with every 3 mL of Solution B to make a new solution

Nana76 [90]

Answer:

5:3

Step-by-step explanation:

Given that the chemist mixed 5 mL of Solution A with every 3 mL of Solution B to make a new solution with a new concentration.

So, the amount of Solution A in the mixture, a = 5 mL

The amount of Solution B in the mixture, b = 3 mL

Therefore, the ratio of Solution A to Solution B in the new solution with the same concentration is a:b=5:3.

Hence, the required ratio for the same concentration is 5:3.

Please note that none of the given options matched.

3 0

2 years ago

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.

Mumz [18]

Answer:

See below

Step-by-step explanation:

When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.

The sample space is:

$[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]$

The sample space of the product xy of each outcome forms the required possibility diagram.

This is given as:

$1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64$

8 0

2 years ago

Just need help with B and C <br><br><br> 30 POINTS

saw5 [17]

Answer:

b) 6/7

c) 14

Step-by-step explanation:

b) Scale Factor = Red/(Red+Blue) = 8/(8+6) = 8/14 = 6/7.

c) x = 8+6 = 14.

EXTRA TIP: If you aren't sure, think about wheter these triangles are isosceles(from the diagram). Hope this helps!

4 0

2 years ago