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3 years ago

What is the equation of a line that passes through (4, 3) and has a slope of 2?

1 answer:

3 0

So right of the bat the equation we know from what's given is y = 2x (+b)
we gotta find out what b is
so we plug the coordinate in
3=8+b.
b=-5
so we put all the pieces back together to get
y = 2x - 5

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Factor this equation<br> 4x^2+12x-7

Levart [38]

$4x^2+12x-7=0\\\\a=4;\ b=12;\ c=-7\\\Delta=b^2-4ac\\\\\Delta=12^2-4\cdot4\cdot(-7)=144+112=256 \ \textgreater \ 0\\\\therefore\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{256}=16\\\\x_1=\dfrac{-12-16}{2\cdot4}=\dfrac{-28}{8}=\boxed{-\dfrac{7}{2}}\\\\x_2=\dfrac{-12+16}{2\cdot4}=\dfrac{4}{8}=\boxed{\dfrac{1}{2}}$

3 0

3 years ago

What are 3 consecutive numbers that is the sum of -27.please be right.use odd numbers

qaws [65]

You're asking for three consecutive odd numbers, then
Let, the numbers = x, x+2, x+4

It is given that, x + x+2+ x+4 = -27
3x + 6 = -27
3x = -27 - 6
x = -33/3
x = -11
Then, x+2 = -9 & x+4 = -7

In short, Your Numbers would be: -7, -9,-11

Hope this helps!

6 0

3 years ago

Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play, Kenny buys 2 software packages

Vikentia [17]

10 because 45x3=135 205-125=70 70 divided by 7 equals 10

5 0

3 years ago

Mr. Brown's class is collecting books for a book drive. They started with 2 books. On the first day, they had 6 books. On the se

elena-s [515]

Answer:

the answer is b i click it and it was right

y=2(3)^x

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

please help me, im stuck and i do not understand what i need to do, answer the question in the picture please

tino4ka555 [31]

Answer:

x = - $\frac{1}{4}$

Step-by-step explanation:

To find f(g(x)) substitute x = g(x) into f(x), that is

f(g(x))

= f(x + 1)

= 2(x + 1)² ← expand using FOIL

= 2(x² + 2x + 1) ← distribute

= 2x² + 4x + 2

To find g(f(x)) substitute x = f(x) into g(x), that is

g(f(x))

= g(2x²)

= 2x² + 1

----------------------------------------------------------

Equating gives

2x² + 4x + 2 = 2x² + 1 ( subtract 2x² + 1 from both sides )

4x + 1 = 0 ( subtract 1 from both sides )

4x = - 1 ( divide both sides by 4 )

x = - $\frac{1}{4}$

4 0

3 years ago