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Math Word Problem

Sheila is in Ms. Cai's class . She noticed that the graph of the perimeter for the "dented square" in problem 3-61 was a line . "I wonder what the graph of its area looks like ," she said to her teammates . a. Write an equation for the area of the "dented square" if xx represents the length of the large square and yy represents the area of the square. b. On graph paper , graph the rule you found for the area in part (a). Why does a 1st−quadrant graph make sense for this situation? Are there other values of xx that cannot work in this situation? Be sure to include an indication of this on your graph, as necessary. c. Explain to Sheila what the graph of the area looks like. d. Use the graph to approximate xx when the area of the shape is 20 square units.

Math Word Problem

Work each problem. Let $$A=\begin{bmatrix}1 & 0 & 0\\0 & 0& -1 \\0 & 1 & -1\end{bmatrix}$$. Show that $$A^{3} {i}_{3}$$, and use this result to find the inverse of A.

Math Word Problem

Find each unknown for problem. Check your work. $$1000−n=258$$

Math Word Problem

Write a word problem or draw a diagram that illustrates the multiplication expression $$\frac{3}{4}\cdot\frac{1}{5} .$$

Math Word Problem

Find a function f such that $$\displaystyle{f}{'''}{\left({x}\right)}={\frac{{{1}}}{{\sqrt{{{1}+{{\sin}^{{{2}}}{x}}}}}}}$$. (This problem is supposed to be easy; don't misinterpret the word "find".)

Math Word Problem

Work each problem. Write $$\displaystyle{3}\sqrt{64}$$ using exponents and evaluate.

Math Word Problem

Find each unknown for problem. Check your work. $$1000−m=4081$$

Math Word Problem

Write a word problem or draw a diagram that illustrates $$\displaystyle\frac{{3}}{{4}}+\frac{{1}}{{5}}$$

Math Word Problem

Find each unknown for problem. Check your work. $$3000−a=10963000−a=1096$$

Math Word Problem

Find each unknown for problem. Check your work. $$9m=549m=54$$

Math Word Problem

Work each problem. Round to the nearest tenth of a degree, if necessary. A record low temperature of $$−89.4^{\circ}C$$ was recorded at the Soviet Antarctica Station of Vostok on July 21, 1983. Find the corresponding Fahrenheit temperature.

Math Word Problem

The converse of a theorem reverses the evidence and the conclusion. The Pythagorean Theorem states that in a right triangle with legs of a and b, and hypotenuse c, that $$\displaystyle{a}^{{2}}+{b}^{{2}}={c}^{{2}}$$ a. State the converse of the Pythagorean Theorem. b. Look back at your work from the problem. What can you conclude about a triangle if $$\displaystyle{a}^{{2}}+{b}^{{2}}={c}^{{2}}$$? c. Why is this not a proof of the converse of the Pythagorean Theorem?

Math Word Problem

Using a graph to find the intersection of two curves can be challenging when the point of intersection is not on gridlines or ends up off the graph. Therefore, it helps to know another way to find the intersection without using a graph. a. Name the algebraic methods you already know to solve linear systems. b. Use one of the methods you listed in part (a) to solve for the intersection of $$\displaystyle{y}={x}^{{2}}−{3}{x}−{10}$$ and $$y=−2x+2$$. Carefully record your steps. Be sure to collaborate with your teammates and check your results along the way. Keep your work for this problem in a safe place. You will need it later in this lesson.

Math Word Problem

Find each unknown for problem. Check your work. 4x=72

Math Word Problem

Find each unknown for problem. Check your Work. 46+n=8146+n=81

Math Word Problem

Work each problem. Suppose y is directly proportional to x, and xis replaced by $$\displaystyle\frac{{1}}{{3}}{x}$$. What happens to y?

Math Word Problem

Write and solve a word problem that can be represented with 240≤2x240≤2x

Math Word Problem

Find each unknown for problem. Check your work. Q−40=25

Math Word Problem