In Exercises 121–124, simplify each expression. Assume that all variables represent positive numbers. 121. (49x-3y4) (xy ) 122. (8x 5 -6 y 123. 124.
Q: For Exercises 71-78, stmplity the expression. (See Example 5) 71. VET 72 VTB 73 74. 75. VT 76 V3 77.…
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Q: 10 8. A 10 -8 -6 -2 0 2 6 8 10 -2 -4 -8 -10 (7, -5) 2 (-1 5) 6. 4.
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A: three points on the Circle we can find easily. That is (0,0) (-8,0) (0,-4) We can find the equation…
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Q: 구 1- %3D -7 -6 -5 -3 -2 -1 4 5. 6 -3 -5- -6- -7-
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Q: tion LIc Simplify: - 5/3-4/343 – 3/75 Submit Question
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Q: Find the domain 16- (-8,8) (8,8) -16 16 16
A: Domain is the set of x values for which function is defined. As both the ends of the graph has…
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Q: 19 X²-25
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Q: For Exercises 62-69, find a set of numbers that satisfy the conditions. 62. The GCF of two numbers…
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Q: For Exercises 87-92, determine the set of values for x for which the radical expression would…
A: 87). a). Given radical expression is x-2. Expression x-2 is defined if: x-2≥0x≥2 Therefore, the…
Q: ューう -10 ーーーン - -2- つ ()ト 10 15 (-3-7)
A: We will find the slope of the given two lines by the given formula. And then compare the slopes to…
Q: In Exercises 113–116, determine whether each statement is true or false. If the statement is false,…
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A: From the graph, the given function is a wave with wavelength 10 π, having amplitude 2. So its…
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Q: 5. Expressed in simplest form, 1-3 is equivalent to 1) -3- /3 2) -3+3 3) 23 4) -3
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A: To findlimx→2-f(x) from given graph.
Q: -37+38=? Also, does a negative plus a negative=positive?
A: It is known that x-x=0.
Q: what is the definition of a term
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Q: 5.) 10 + 2x = -(-2x - 5)
A: Dear student as per our rule in one session we can only solve one question. Please post the other…
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Q: Select all expressions equivalent to (35 3-4)-2.
A: Given : 35·3-4-2
Q: Exercises 122-124 will help you prepare for the material covered in the next section. 122. a.…
A: 122. Explanation: (a)Given that, 21x+10x Calculation: Combine the like terms…
Q: How can you rewrite each expression in a simpler form? 13. 3000 +3 - 1029 14. 45 - 180 - 720
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Q: 61 (9x-22) (5x-7) K 34 9.
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Q: Does an algebraic expression have a single value
A: Algebraic Expression An algebraic expression is a mathematical statement consisting of operators…
Q: Select all expressions that are equivalent to 16x-12-24x+4. Show or explain your reasoning.
A: Given Expression is 16x-12-24x+4 first Expression which is equivalent to given expression is…
Q: In Exercises 65–69, solve each equation. 2x 65. 3 1 + 1 6. 66. 2 10 2 2x 67. 3 68. 4 2 + 3 4 Зх + 1…
A: 65). To solve the equation: 2x3=x6+1 Solution: First we will simplify on the both sides of equation…
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A: Given graph has points are (-5,0)(8,0) and (0,80) Now graph is going to negative y- axis. So, the…
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Q: In Exercises 105-110, use an associative property to write an algebraic expression equivalent to…
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- In Exercises 106–108, factor and simplify each algebraic expression. 106. 16x + 32r4 107. (x² – 4)(x² + 3) - (r? – 4)°(x² + 3)2 108. 12x+ 6xIn Exercises 129–132, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 129. 9x? + 15x + 25 = (3x + 5) 130. x - 27 = (x – 3)(x² + 6x + 9) 131. x³ – 64 = (x – 4)3 132. 4x2 – 121 = (2x – 11)In Exercises 83–90, perform the indicated operation or operations. 83. (3x + 4y)? - (3x – 4y) 84. (5x + 2y) - (5x – 2y) 85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1) 86. (3x + 5)(2x - 9) - (7x – 2)(x – 1) 87. (2x + 5)(2r - 5)(4x? + 25) 88. (3x + 4)(3x – 4)(9x² + 16) (2x – 7)5 89. (2x – 7) (5x – 3)6 90. (5x – 3)4
- For Exercises 33–38, find the exact value of each expression without the use of a calculator. (See Example 5)The average amount A (in pounds per person) of fish and shellfish consumed in the UnitedStates during the period 1992–2001 can be modeled by A = (3.2x + 260)/(52x + 3800) where x is the number of years since 1992.Rewrite the model so that it has only whole number coefficients. Then simplify the model.For Exercises 49–52, rewrite the equation so that the coefficient on x is positive.
- In Exercises 65–70, use the graph of f to find each indicated function value. y = f(x) 65. f(-2) 66. f(2) -5 -4--2 2 4 5 67. f(4) 68. f(-4) 69. f(-3) 70. f(-1)10-X 3.Make Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I did to find the binomial product (x + 5)(x + 4). 136. I used a special-product formula and simplified as follows: (V2 + V5)? = 2 + 5 = 7. 137. In some cases when I multiply a square root expression and its conjugate, the simplified product contains a radical. 138. I use the fact that 1 is the multiplicative identity to both rationalize denominators and rewrite rational expressions with a common denominator.
- America is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?Exercises 101–103 will help you prepare for the material covered in the next section. Use the graph of function f to solve each exercise. 5- 4- 3- 2- 1- -5-4 1 2 3 45 y = flx) 101. For what values of x is the function undefined? 102. Write the equation of the vertical asymptote, or the vertical line that the graph of f approaches but does not touch. 103. Write the equation of the horizontal asymptote, or the horizontal line that the graph of f approaches but does not touch.Your cardiac index is your heart's output, in liters of blood per minute, divided by your body's surface area, in square meters. The cardiac index, C(x), can be modeled by 7.644 C(x) = 10 s xs 80, where x is an individual's age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96. 7.644 C(x) = %3D 10 20 30 40 50 60 70 80 90 Age 95. a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction. b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph. 96. a. Find the cardiac index of an 80-year-old. Express the denominator in simplified radical form and reduce the fraction. Cardiac Index liters per minute squar e met ers 654 32