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Questions in mathematics

[Free] Solve each equation. [tex]|3x + 9| = 30[/tex]

[Free] Use the factor theorem and trial and error to find a linear factor of these polynomials. a. [tex]P(x)=x^3+2 x^2+7 x+6[/tex] b. [tex]P(x)=x^3+2 x^2-x-2[/tex] c. [tex]P(x)=x^3+x^2+x+6[/tex] d. [tex]P(x)=x^3-2 x-4[/tex]

[Free] Match each equation with its number of unique solutions. [tex]y=3 x^2-6 x+3 \quad y=-2 x^2+9 x-11 \quad y=-x^2-4 x+7[/tex] | Two Real Solutions | One Real Solution | |---|---| | | | | One Complex Solution | Two Complex Solutions | | | |

[Free] The exchange rate between non-fixed currencies continuously fluctuates. The table below shows the exchange rate of the US dollar to the euro over the course of six days. | Day | $: € | | -------- | ---------- | | Monday | 1: 0.7102 | | Tuesday | 1: 0.7053 | | Wednesday| 1: 0.6869 | | Thursday | 1: 0.6910 | | Friday | 1: 0.7273 | | Saturday | 1: 0.7544 | If Rodney traded €228.75 for $314.52, when did he make his exchange? a. Saturday b. Friday c. Thursday d. Tuesday

[Free] Vipul formed the greatest 7-digit number using the following digits: 4, 2, 1, 7, 6, 0, 3. What is 100 more than the number formed by Vipul?

[Free] Q1. Add the following decimals. (i) 0.4 + 0.3 (ii) 63.32 + 76.41 (iii) 27.25 + 62.23 (iv) 0.57 + 0.29 (v) 107.69 + 584.84 (vi) 2.1 + 1.7 + 0.8 (vii) 0.15 + 0.27 (viii) 0.24 + 0.36 + 0.75 Q2. Add the following after changing into like decimals. (i) 36.795 + 26.45 (ii) 19.76 + 4.5 + 36.002 (iii) 0.005 + 9.4 + 30.66 (iv) 24.38 + 4.008 + 4.2 (v) 390.86 + 34.6 + 72 (vi) 26.12 + 70.596 + 13.7 Q3. A bag contains 45 kg 80 g sugar and the mass of the empty bag is 950 g. What is the mass of the bag containing this much sugar?

[Free] The sum of the nth and 3rd term of an AP is 42. If the difference between the 6th and 3rd term is 12, find the common difference (d) and the 20th term.

[Free] Which line is perpendicular to a line that has a slope of $-\frac{5}{5}$? line JK line LM line NO line PQ

[Free] Solve the system by the substitution method. [tex]\begin{aligned} 4 x+8 y & = -24 \\ 5 x-y & = 36 \end{aligned}[/tex] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is { }. (Type an ordered pair.) B. There are infinitely many solutions. C. There is no solution.

[Free] Which is equivalent to $\sqrt[4]{9}^{\frac{1}{2} x}$ ? A. $9^{2 x}$ B. $9^{\frac{1}{8} x}$ C. $\sqrt{9}^x$ D. $\sqrt[6]{9}^x$