Questions in mathematics

Questions in mathematics

[Free] $\frac{4}{x+16}-\frac{3}{x-16}=\frac{5 x}{x^2-256}$ a. Write the value or values of the variable that make a denominator zero. $x=$ $\square$ (Use a comma to separate answers as needed.) b. What is the solution of the equation? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ 3. (Use a comma to separate answers as needed.). B. The solution set is ${x \mid x$ is a real number}. C. The solution set is $\varnothing$.

[Free] Can $3x$ and $-29x$ be combined? Step 2: Isolate the variable term by adding this value to both sides of the equation: $\square$ $\frac{25}{9} x-\frac{1}{5}=\frac{124}{5}$

[Free] Simplify the product $\frac{5}{n+1} \cdot \frac{n+1}{n+3}$

[Free] Thando has R4 500 in his savings account. The bank pays him a compound interest rate of 4.25% p.a. Calculate the amount Thando will receive if he decides to withdraw the money after 30 months. The following advertisement appeared with regard to buying a bicycle on a hire-purchase agreement loan: Purchase price: R 5989 Required deposit: R 600 Loan rest?: Only 18 months, at 8% pa, simple interest 4.2.1 Calculate the monthly amount that a person has to budget for in order to pay for the bicycle. 4.2.2 How much interest does one have to pay over the full term of the loan? The following information is given: 1 ounce = 28.35 g $1 = R 8.79 Calculate the rand value of a 1 kg gold bar, if 1 ounce of gold is worth $978.34.

[Free] A square is inscribed in a circle of diameter [tex]$12 \sqrt{2}$[/tex] millimeters. What is the area of the shaded region? Recall that in a [tex]$45^{\circ}-45^{\circ}-90^{\circ}$[/tex] triangle, if the legs each measure [tex]$x$[/tex] units, then the hypotenuse measures [tex]$x \sqrt{2}$[/tex] units. A. [tex]$(72 \pi-144) mm ^2$[/tex] B. [tex]$(72 \pi-72) mm ^2$[/tex] C. [tex]$(288 \pi-288) mm ^2$[/tex] D. [tex]$(288 \pi-144) mm ^2$[/tex]

[Free] Beatrice bought 3 metres of denim fabric and 5 metres of cotton fabric. The total bill, excluding tax, was $22. Candace bought 2 metres of cotton and 6 metres of denim for $28. a) Write a linear system to find the price of the cotton and denim fabric. b) Solve the system by graphing: [tex]3 x+5 y=22[/tex] c) How much will 8 metres of Denim & 5 metres of cotton cost?

[Free] A direct variation function contains the points $(-8,-6)$ and $(12,9)$. Which equation represents the function? A. $y=-\frac{4}{3} x$ B. $y=\frac{3}{4} x$ C. $y=\frac{3}{4} x$ D. $y=\frac{4}{3} x$

[Free] The function $N(t)=\frac{300}{1+299 e^{-0.36 t}}$ describes the spread of a rumor among a group of people in an enclosed space. $N$ represents the number of people who have heard the rumor, and $t$ is measured in minutes since the rumor was started. Which of the following statements are true? Check all that apply. A. There are 300 people in the enclosed space. B. Initially, only one person had heard the rumor. C. The rumor spreads at a constant rate of 0.36 people per minute. D. It will take 30 minutes for 100 people to hear the rumor.

[Free] Which best describes the meaning of the statement "If A, then B"? A. If A is false, then B might be false. B. If A is true, then B must be true. C. If A is false, then B must be false. D. If A is true, then B might be true.

[Free] Select the correct answer. Consider this equation of a circle. [tex]x^2-2 x+y^2+6 y-4=0[/tex] What is the equation expressed in standard form? A. [tex](x-1)^2+(y+3)^2=14[/tex] B. [tex](x-2)^2+(y+6)^2=44[/tex] C. [tex](x-1)^2+(y+3)^2=56[/tex] D. [tex](x-2)^2+(y+6)^2=12[/tex]