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Questions in mathematics

[Answered] $8.7 a^2-15-a^2-0.85

[Answered] Find the product and write it in lowest terms. [tex]$\frac{14}{51} \cdot \frac{3}{4}$[/tex]

[Answered] $U$ is a point on segment $\overline{T V}$. If $T U=x+3, U V=6$, and $T V=10 x-9$, what is $T U$ ? Simplify your answer and write it as a proper fraction, mixed number, or integer.

[Answered] You can use a system of equations to graph and solve the polynomial equation [tex]$3 x^3+x=2 x^2+1$[/tex]. Which statement is true? A. The system has one solution, and the equation has three zeroes. B. The [tex]$y$[/tex]-coordinates of the solutions to the system and the zeroes of the equation are not equal. C. The [tex]$x$[/tex]-coordinates of the solutions to the system and the zeroes of the equation are not equal. D. The equation has one zero, and the system has three solutions.

[Answered] Which of the following circles lie completely within the fourth quadrant? Check all that apply. A. $(x-9)^2+(y+9)^2=16$ B. $(x-12)^2+(y+0)^2=72$ C. $(x-5)^2+(y+5)^2=9$ D. $(x-2)^2+(y+7)^2=64

[Answered] If x=-3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation? A. The discriminant is negative. B. The discriminant is -3. C. The discriminant is 0. D. The discriminant is positive.

[Answered] Type the correct answer in the box. Use numerals instead of words. What value of [tex]$x$[/tex] satisfies this equation? [tex]$4(2.5)^{2 x}=4$[/tex] The value of [tex]$x$[/tex] is $\square$.

[Answered] Sylvia enlarged a photo to make a $24 \times 32$ inch poster using the dilation $D_{0,4}$. What are the dimensions, in inches, of the original photo? A. $3 \times 8$ B. $6 \times 8$ C. $12 \times 16$ D. $18 \times 24$

[Answered] Simplify the expression. 1)$\left(5^3\right)^2$

[Answered] Which fraction represents the decimal $0 . \overline{12}$ ? A. $\frac{1}{12}$ B. $\frac{3}{25}$ C. $\frac{4}{33}$ D. $\frac{33}{4}$