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allochka39001 [22]
3 years ago
10

Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?

Mathematics
2 answers:
Ahat [919]3 years ago
5 0

Answer:

6-4

Step-by-step explanation:

kap26 [50]3 years ago
3 0
Hi! The equation for finding the slope given 2 points is \frac{ x_{2} - x_{1}}{y_2-y_1} . With the points given, we can plug those into the equation, giving \frac{6-4}{2-0}, which is the same as 2/2, or 1/1. So the numerator, or the top number would just be 1.
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Leokris [45]

Answer:

Write a ratio.

70 : 5

x : 1

To solve for x, cross multiply.

70 : 5x

Divide both sides by 5.

14 = x

So, NoClue can rap 14 syllables per second.

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6 0
2 years ago
You work at an ice-cream shop. One of your jobs is to order new ice-cream cones. You pick the cone that is 5 inches high and has
Taya2010 [7]
We have that
the Volume of cone=(1/3)*B*h
B=the area of the base
h= the height of the cone
D=3.5 in-----------------> r=D/2=1.75 in
h=5 in
B=pi*r²---------> 3.14*1.75²=9.616 in²
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5 0
3 years ago
Read 2 more answers
Given P(x) = 2x3+ 3x2- x + 4, find P(0) and P(-2).
pshichka [43]

9514 1404 393

Answer:

  P(0) = 4

  P(-2) = 2

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  P(0) = 2·0³ +3·0² -0 +4

  P(0) = 4

__

  P(-2) = 2·(-2)³ +3·(-2)² -(-2) +4 = 2(-8) +3(4) +2 +4

  P(-2) = -16 +12 +2 +4

  P(-2) = 2

6 0
3 years ago
Which of the following situations could be modeled by an exponential function?
Sauron [17]

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

3 0
2 years ago
What is the domain of the relation?<br> ​
Tasya [4]

Answer:

D = { -4,-2,1,4}

Step-by-step explanation:

The domain is the inputs to the function

D = { -4,-2,1,4}

5 0
3 years ago
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