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Mice21 [21]
3 years ago
11

How do you find the slope and y-intercept

Mathematics
1 answer:
ankoles [38]3 years ago
7 0
To find them it's y=mx+b

b=the y intercept
m=the slope
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Dose someone know how to figure this out can someone pleas help its a test
riadik2000 [5.3K]

Complete question is;

The levels of mercury in two different bodies of water are rising. In one body of water the initial measure of mercury is 0.05 parts per billion (ppb) and is rising at a rate of 0.1 ppb each year. In the second body of water the initial measure is 0.12 ppb and the rate of increase is 0.06 ppb each year.

Which equation can be used to find y, the year in which both bodies of water have the same amount of mercury?

A) 0.05 – 0.1y = 0.12 – 0.06y

B) 0.05y + 0.1 = 0.12y + 0.06

C) 0.05 + 0.1y = 0.12 + 0.06y

D) 0.05y – 0.1 = 0.12y – 0.06

Answer:

Option C: 0.05 + 0.1y = 0.12 + 0.06y

Step-by-step explanation:

In the first body, the initial measure of mercury is 0.05 parts per billion (ppb) while it's rising at a rate of 0.1 ppb each year. We are told to use y for the number of years.

Thus, amount of mercury for y years in this first body is;

A1 = 0.05 + 0.1y

Now, for the second body, we are told that;the initial measure is 0.12 ppb and the rate of increase is 0.06 ppb each year.

Thus, amount of mercury for y years in this second body is;

A2 = 0.12 + 0.06y

Since we want to find the year in which both bodies of water have the same amount of mercury. Thus, it means;

A1 = A2

Thus;

0.05 + 0.1y = 0.12 + 0.06y

7 0
2 years ago
Last trig question!! Please explain how to do this!! Thank youuu !!!!!!
Shalnov [3]

Answer:

See the verification below.

Step-by-step explanation:

Starting expression: sin^3(x)+sin(x)\,cos^2(x)=sin(x)

Extract from the expression on the left of the equal sign the common factor "sin(x)":

sin^3(x)+sin(x)\,cos^2(x)=sin(x)\\sin(x)[sin^2(x)+cos^2(x)]=sin(x)

Now use the Pythagorean trigonometric identity: sin^2(x)+cos^2(x)=1 to replace the expression in between square brackets with "1":

sin(x)[sin^2(x)+cos^2(x)]=sin(x)\\sin(x) \,[1]=sin(x)\\sin(x)=sin(x)

Therefore we have verified the identity

7 0
3 years ago
A restaurant bill is $59 and you pay $75. What percentage gratuity did you pay?
rewona [7]

Answer:22%

Step-by-step explanation:

3 0
2 years ago
According to the Rational Root Theorem, which of the following values is a possible rational root of the polynomial p(x)=x2+3x+1
slava [35]

Answer:

C. -2

Step-by-step explanation:

Since the leading coefficient is 1 and rational roots are of the form ...

±(divisor of the constant)/(divisor of the leading coefficient)

all of the possible rational roots must be whole number diviors of 12. The only one on the list is -2.

8 0
2 years ago
I need help withy these questions.
Alekssandra [29.7K]
The little square means 90° and a straight line means 180° so 180 minus 68° minus 90° is 22° which leaves,
1) 112° and since you can flip 68° exacly the same on both sides it is a vertical angle which means
3)68.
4) 90°
8 0
3 years ago
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