Determine whether the graph of each function is symmetric with respect to the origin. $f(x)=\frac{1}{4 x^{7}}$

The stopping distance of an automobile traveling at a speed $v$ (kilometers per hour) is the distance $R$ (meters) the car travels during the reaction time of the driver plus the distance $B$ (meters) the car travels after the brakes are applied. The table shows the results of an experiment.

Use a graphing utility to graph the functions $R, B$, and $T$ in the same viewing rectangle.

Diondre says that he can take any right triangle and make a new right triangle just by doubling the side lengths. Is Diondre's conjecture true? Test his conjecture using three different right triangles.

The two shortest sides of a right triangle are 10 in. and 24 in. long. What is the length of the shortest side of a similar right triangle whose two longest sides are 36 in. and 39 in.?

(a) The set of all points on the real line whose distance from zero is less than 3 can be described by the absolute value inequality |x| _____. (b) The set of all points on the real line whose distance from zero is greater than 3 can be described by the absolute value inequality |x| _____.

Simplify. Assume that no denominator is equal to zero. $\left(\frac{6 k^3}{7 n p^4}\right)^2$

Use the following information for the exercise.

Mrs. Alarcón bought 3 geraniums, 2 ferns, and 2 petunias for $\$ 67.00$. Mrs. Mufiz bought 4 geraniums, 4 petunias, and 1 fern for $\$ 89.50$. The geraniums cost $\$ 3.50$ more than the ferns.

Use Cramer's rule to find the cost of each type of plant.

(a) What happens to the turtle in his encounter with the two drivers?

(b) Based on their actions, what kinds of people do the two drivers seem to be?

Determine whether the graph of each function is symmetric with respect to the origin. $f(x)=\frac{1}{5 x}-x^{19}$

For the sentence below, choose the correct form of the verb in parentheses.

Example 1. Every teacher and student ( $\underline{\text{is}}$, are) invited to the auditorium for the concert.

Every film at the festival (was, were) reviewed by a dozen critics.

Demandez $\`a$ ces personnes d’o$\`u$ ils sont (where they are from).

your teacher

Simplify. Assume that no denominator is equal to zero. $\left(\frac{3 m^7}{4 x^5 y^3}\right)^4$

Use a table to graph the equation. (Hint: Choose $x$-values that are multiples of the slope's denominator.)

$$y=-\frac{5}{3} x-2$$

Simplify the expression, and rationalize the denominator when appropriate.

$$\sqrt[4]{\left(-4a^3b^2c\right)^2}$$