Solve the system of linear equations using the substitution method.

$$\left. \begin{array} { l } { x + y + z = 4 } \\ { 5 x + 5 y + 5 z = 12 } \\ { x - 4 y + z = 9 } \end{array} \right.$$

Explain what is wrong with the statement. The function $P(x)=x^{2} e^{x}$ is a cumulative distribution function.

Solve each equation. $x-4\dfrac{1}{2}=6\dfrac{3}{4}$

Write the power of 10 in standard form. Then multiply the factors. $2.5 \times 10 ^ { - 3 }$

An object moves so that its position depends on time as $x=+12-4 t+t^{2}$. Which statement below is not true? (a) The object is accelerating. (b) The speed of the object is always decreasing. (c) The object first moves in the negative direction and then in the positive direction. (d) The acceleration of the object is $+2 \mathrm{m} / \mathrm{s}^{2}$ (e) The object stops for an instant at 2.0 s.

Which characteristic did Mendel study? A. flower size, B. stem shape, C. pod color, D. root type

Find each missing number. Check your work. b - 68 = 86

Determine whether the given set of vectors is an orthogonal set in

$$\mathbb { R } ^ { n }.$$

. For those that are, determine a corresponding orthonormal set of vectors. {(1, 2, -1, 0), (1, 0, 1, 2), (-1, 1, 1, 0), (1, -1, -1, 0)}.

Add or subtract, Write each answer in simplest form. $\frac { 7 } { 12 } - \frac { 11 } { 12 }$

Find the particular solution of the linear system that satisfies the stated initial conditions.

$$\begin{array}{l}{x^{\prime}=x-2 y} \\ {y^{\prime}=8 x-7 y} \\ {x(0)=6, y(0)=8}\end{array}$$

Let $i=\sqrt{-1}.$ We define $e^{i \theta}$ by substituting $i \theta$ in the Taylor series for $e^x.$ Use this definition to explain Euler's formula $e^{i \theta}=\cos \theta+i \sin \theta.$

1. Los sábados todos (1.) temprano. Mi hermano y mi papá (2.) con sus amigos a jugar al fútbol. Por la tarde, si hace buen tiempo, nadie quiere (3.) en casa. Todos vamos al parque a correr. A nunca (5.). Después de todo, lo pasamos muy bien.

Make a graph of the ordered pairs. Label the horizontal axis height (cm) and the vertical axis Arm Span (cm). Choose an appropriate scale. What do you notice about the graph? Can you predict a person's arm span based on the person's height? Explain.

Fill in each blank so that the resulting statement is true. The ____ property of addition states that zero can be