True or false variable is a letter used in place of a number

Mathematics

1 answer:

VikaD [51]4 years ago

5 0

Answer: TRUE!

Variables ARE letters used in place of numbers absolutely

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1. What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?

Nookie1986 [14]

1. What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?

Point Slope form y − y1 = m(x − x1)

Y1: -7 x1:1 slope :-2/3

Y-(-7)=-2/3(x-1)

Y+7=-2/3(x-1)

2. What is the equation of a line, in point-slope form, that passes through (-2,-6) and had a slope of 1/3?

Y-(-6)=1/3(x-(-2))

Y+6=1/3(x+2)

3.What is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)

SlopeM: =change in y/change in x

M= -1-5/-3-4

M= -6/-7

M=6/7

So now slope:6/7, point (4,5)

Y-y1=m(x-x1)

Equation in point slope

Y-5=6/7(x-4)

6 0

4 years ago

BRAINLIEST ASAP! PLEASE HELP ME :)

Afina-wow [57]

Answer:

$\large \boxed{\textbf{30.54 yr}}$

Step-by-step explanation:

For species A,

$P =2000e^{0.05t}$

For species B,

$P =5000e^{0.02t}$

When their populations are equal,

$\begin{array}{rcl}2000e^{0.05t} & = & 5000e^{0.02t}\\e^{0.05t} & = & 2.5e^{0.02t}\\0.05t & = & \ln2.5 + 0.02t\\0.05t & = & 0.9163 + 0.02t\\0.03t & = & 0.9163\\t& = & \dfrac{0.9163}{0.03}\\\\& = & \mathbf{30.54}\\\end{array}\\\text{The populations of species A and B will be the same in $\large \boxed{\textbf{30.54 yr}}$}$