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Usimov [2.4K]
3 years ago
11

Graph the line with a slope of -3/2 that passes through the point (-1,2)

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

See diagram

Step-by-step explanation:

The line with the slope of -\dfrac{3}{2} has the equation

y=-\dfrac{3}{2}x+b

This line passes through the point (-1,2), so

2=-\dfrac{3}{2}\cdot (-1)+b\\ \\b=2-1.5\\ \\b=0.5

The line has the equation

y=-1.5x+0.5

This line intersects the y-axis at point (0,0.5) and the y-axis at point (1/3, 0). Plot these points and connect them with the straight line (see attached diagram)

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The square of a non-zero number is equal to 70% of the original number. What
aleksandr82 [10.1K]

Answer:

0.7.

Step-by-step explanation:

x^2 = 0.7x

x^2 - 0.7x = 0

x(x - 0.7) = 0

x = 0, 0.7.

3 0
2 years ago
Find four consecutive even integers whose sum is 84. Find the integers.
mina [271]
Suppose the integers are n , n+2 , n+4 and n+6.
84=n+(n+2)+(n+4)+(n+6)=4n+12.
Subtract 12 from both ends to get.
72=4n.
Divide both ends by 4 to get.
n=18.
So the integers are: 18 , 20 , 22 , 24.
4 0
3 years ago
6+(-4)= please help me I don’t here it :)
kirill115 [55]

Answer:

2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Ya'll fr get 50 points if you answer this. <br> What is the rate of change of <img src="https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex
Evgesh-ka [11]

Answer:

\dfrac{dy}{dx}=2^x\ln 2

Step-by-step explanation:

**This is a non-linear function and therefore <u>does not have a constant rate of change</u>.  It will have a different slope depending on what points you use in the average rate of change formula:\mathsf{average \ rate \ of \ change = \dfrac{change \ in \ y}{change \ in \ x}}

To calculate rate of change, differentiate.

substitute y for f(x):  

\implies y=2^x

Take natural logs of both sides:

\implies \ln y=\ln 2^x

Apply the log rule  \ln a^b=b \ln a :

\implies \ln y=x\ln 2

Differentiate with respect to x:

\implies \dfrac{1}{y} \frac{dy}{dx}=\ln 2

Mulitply both sides by y:

\implies \dfrac{dy}{dx}=y\ln 2

Replace y with y=2^x

\implies \dfrac{dy}{dx}=2^x\ln 2

Therefore, rate of change of the function is :

\dfrac{dy}{dx}=2^x\ln 2

8 0
2 years ago
Find the additive inverse of 7/10
11111nata11111 [884]

\huge\fbox{Hi~there!}

Remember, a number's additive inverse is simply its opposite.

Let's say we have a number a.

The opposite of a is -a, and the opposite of -a is a.

Thus, the additive inverse of

\displaystyle\frac{7}{10} is

\displaystyle-\frac{7}{10}

Hope it helps.

~Just a felicitous girl

#HaveAnAmazingDay

Feel free to ask if you have any doubts.

\bf{-MistySparkles^**^*

5 0
2 years ago
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