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gtnhenbr [62]
3 years ago
7

What is the slope of a line that passes through (–12,15) and (0,4)?

Mathematics
2 answers:
Dmitrij [34]3 years ago
6 0
Slope for points (x1,y1) and (x2,y2)
slope=(y2-y1)/(x2-x1)

(x,y)
(-12,15)
(0,4)

x1=-12
y1=15
x2=0
y2=4

slope=(4-15)/(0-(-12))=-11/(0+12)=-11/12


slope=-11/12
Romashka [77]3 years ago
5 0
I think that the answer is negative 11 over 12
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Noelle has containers that each hold one gallon of liquid. She used these containers to dispose of waste from the chemistry labo
Andrej [43]

Answer:

4 containers.

Step-by-step explanation:

Since Noelle collected 3 quarts 1 pint of liquid from the first table, the amount of liquid collected in quarts is 3 quarts + 1 pint = 3 quarts + 1 pint × 1 quarts/2 pints = 3 quarts + 0.5 quarts = 3.5 quarts.

She also collected 4 quarts from the second table, 2 quarts from the third table.

Finally, she collected collected 3 quarts 1 pint of liquid from the fourth table, the amount of liquid collected in quarts is 3 quarts + 1 pint = 3 quarts + 1 pint × 1 quarts/2 pints = 3 quarts + 0.5 quarts = 3.5 quarts.

So, the total amount of liquid she collected in quarts is V = 3.5 quarts + 4 quarts + 2 quarts + 3.5 quarts = 7.5 quarts + 5.5 quarts = 13 quarts

We now convert this value to gallons to know the amount of containers Noelle needs since she has one gallon containers.

13 quarts = 13 × 1 quarts = 13 quarts × 1 gallon/4 quarts = 13/4 gallons = 3.25 gallons

Since the total amount of liquid is 3.25 gallons = 3 gallons + 0.25 gallons, Noelle would need 4 containers since 3 containers would contain the first 3 gallons and the fourth container would contain the remaining 0.25 gallons.

So, Alyssa would need 4 containers.

8 0
2 years ago
What is a logarithmic function?
max2010maxim [7]

THE LOGURITHMIC FUNCTION IS THE UNVERSE OF EXPONETIAL FUNCTION IN MATH
7 0
2 years ago
A box is supposed to have 150 folders in it. Clare counts only 147 folders in
VikaD [51]

Answer:

it's a 0.02% error.

147/150= 0.98% of the folders are there, making the error 0.02%

Step-by-step explanation:

5 0
2 years ago
The sum of two integers with different size is eight give to possible integers that fits this description
kozerog [31]
Examples would be 2+6 = 8 with two of the integer that are different
5 0
3 years ago
If f(1) = 0, what are all the roots of the function f(x)=x^3+3x^2-x-3? Use the Remainder Theorem.
Sophie [7]
There's no if about it, 

f(x)=x^3+3x^2-x-3


has a zero f(1)=0 so x-1 is a factor.   That's the special case of the Remainder Theorem; since f(1)=0 we'll get a remainder of zero when we divide f(x) by x-1.

At this point we can just divide or we can try more little numbers in the function.  It doesn't take too long to discover f(-1)=0 too, so  x+1 is a factor too by the remainder theorem.  I can find the third zero as well; but let's say that's out of range for most folks.

So far we have 

x^3+3x^2-x-3 = (x-1)(x+1)(x-r)

where r is the zero we haven't guessed yet.  Again we could divide f(x) by (x-1)(x+1)=x^2-1 but just looking at the constant term we must have

-3 = -1 (1)(-r) = r

so

x^3+3x^2-x-3 = (x-1)(x+1)(x+3)

We check f(-3)=(-3)^3+3(-3)^2 -(-3)-3 = 0 \quad\checkmark

We usually talk about the zeros of a function and the roots of an equation; here we have a function f(x) whose zeros are

x=1, x=-1, x=-3

8 0
2 years ago
Read 2 more answers
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