Questions in mathematics

Questions in mathematics

📝 Answered - Combine and simplify the following radical expression: $2 \sqrt{20}+8 \sqrt{45}-\sqrt{80}$

📝 Answered - $6 \longdiv { 478 }$

📝 Answered - $\frac{x+4}{x-2}-\frac{x-2}{x}+4=0$

📝 Answered - A 8-10 year old child needs to drink roughly 1500 ml of water each day. Estimate, how many milliliters of water do you drink in 1 day and in 1 week?

📝 Answered - Examine the number pattern and answer the following questions: 960, 860, 760, 660.....

📝 Answered - Express p(x)=x²-√29 as a product of linear factors. Select one: a. (x-2√29)(x-29) b. (x-√29)(x+√29) c. (x-29)(x+29) d. (x-29)(x-29)

📝 Answered - A rectangular lawn in front of the Parliament House has a perimeter of 42 m and an area of [tex]$68 m^2$[/tex]. Find the length and width of the lawn.

📝 Answered - At the start of the week, Crystal's bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42 and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. What was Crystal's balance at the end of the week? Evaluate the expression below to solve the problem. $280+5(-5)+(-42)+2(75)+(-200)$

📝 Answered - Simplify the expression so there is only one power for each base. [tex]5.6^{-5} \cdot 3.4^{-7} \cdot 5.6^3 \cdot 3.4^{-4}[/tex] A. [tex]5.6^{-2} \cdot 3.4^{-11}[/tex] B. [tex]5.6^8 \cdot 3.4^{11}[/tex] C. [tex]5.6^{-8} \cdot 3.4^{-7}[/tex] D. [tex]5.6^{-8} \cdot 3.4^{-3}[/tex] E. [tex]5.6^{-5} \cdot 3.4^{-3}[/tex]

📝 Answered - Determine the end behavior, plot the [tex]$y$[/tex]-intercept, find and plot all real zeros, and plot at least one test value between each intercept. Then connect the points with a smooth curve. [tex]$f( x )=-10 x ^4-9 x ^3+59 x ^2+45 x -45$[/tex] Choose the correct end behavior for [tex]$f ( x )$[/tex]. A. The ends of the graph will extend in the same direction, because the degree of the polynomial is odd. B. The ends of the graph will extend in opposite directions, because the degree of the polynomial is odd. C. The ends of the graph will extend in the same direction, because the degree of the polynomial is even. D. The ends of the graph will extend in opposite directions, because the degree of the polynomial is even. The [tex]$y$[/tex]-intercept is -45. (Type an integer or a simplified fraction.) The zeros of the polynomial are [tex]$x =$[/tex] $\square$. (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)