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Questions in mathematics

[Done] Find the slope of the line passing through the points $(-4,-7)$ and $(-4,5)$.

[Done] Express as a difference of logarithms. [tex]$\log \frac{v}{s}$[/tex] [tex]$\log \frac{v}{s}=\square$[/tex]

[Done] Which graph could represent the function [tex]f(x)=(x+3.8)^2-2.7[/tex]?

[Done] Class Five and six are to share: $2^{150}$. Find the numbers in the ratio of $1:2$. Find the number of theirs.

[Done] $\frac{d y}{d x}$ if $y=x \ln x-x$. A. $x^2 \ln x$ B. $\ln x-1$ C. $\ln x$ D. $x-\ln x$. $\frac{d y}{d t}$ of $y(t)=3 t^3+2 t^2-7 t+3$ at $t=-1$. A. -1 B. 1 C. -2 D. 2. $\frac{d y}{d x}$ of $1^2+x y-x=0$ at $(0,2)$. A. $\frac{1}{2}$ B. $\frac{2}{3}$ C. $\frac{1}{3}$ D. $-\frac{1}{4}$. Find the value of $y^{\prime}$ if $x=3 t, y=t^2-4$ at $t=3$. A. 2 B. $\frac{1}{2}$ C. -4 D. -2 . Find $f^{\prime}(0)$ if $f(x)=\frac{x+1}{x^3-1}, x \neq 1$. A. 2 B. 3 C. -2 D. -1

[Done] 2. y sin 2x dx - (1 + y² + cos² x) dy = 0

[Done] Aleena has 8,432 stickers in her collection. She decided to give 3,758 stickers to her friends. How many stickers does Aleena have left?

[Done] If [tex]f(x)=\frac{1}{9} x-2[/tex], what is [tex]f^{-1}(x)[/tex]?

[Done] $-5x + 4y = -40$ x-intercept (?, ?) y-intercept (?, ?)

[Done] Write the expression as a single natural logarithm. [tex]$3 \ln x-5 \ln c$[/tex] A. [tex]$\ln \frac{x^3}{c^5}$[/tex] B. [tex]$\ln \left(x^3-c^5\right)$[/tex] C. [tex]$\ln \frac{c^5}{x^3}$[/tex] D. [tex]$\ln \left(x^3+c^5\right)$[/tex]