Questions in mathematics

Questions in mathematics

📝 Answered - For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings, e? A. [tex]$e \geq 50$[/tex] or [tex]$e \leq 100$[/tex] B. [tex]$e\ \textgreater \ 50$[/tex] or [tex]$e\ \textless \ 100$[/tex] C. [tex]$50\ \textless \ e\ \textless \ 100$[/tex] D. [tex]$50 \leq e \leq 100$[/tex]

📝 Answered - The function $g(x)$ is a translation of $f(x)=(x+3)^2-10$. The axis of symmetry of $g(x)$ is 5 units to the right of $f(x)$. Which function could be $g(x)$? A. $g(x)=(x-2)^2+k$ B. $g(x)=(x+8)^2+k$ C. $g(x)=(x-h)^2-5$ D. $g(x)=(x-h)^2-15$

📝 Answered - Solve $5 w+8 \leq 3 w+14$

📝 Answered - Solve the equation. [tex]8-2 x=-8 x+14[/tex] A. [tex]x=-1[/tex] B. [tex]x=-\frac{3}{5}[/tex] C. [tex]x=\frac{3}{5}[/tex] D. [tex]x=1[/tex]

📝 Answered - The post office is at the corner of First Street and Main Street, which forms a right angle. First Street intersects with Oak Street to the north, and Main Street intersects with Oak Street to the east. The intersection of First Street and Oak Street forms an [tex]$x^$[/tex] angle, and tan [tex]$x^=\frac{7}{5}$[/tex]. Car A drives on Main Street for 21 miles to arrive at Oak Street. How far will car B have to travel on First Street to get to Oak Street? Round your answer to the nearest tenth of a mile.

📝 Answered - Select the button to take a sample of fish. | Fish Type | Sample 1 | Sample 2 | | --------- | -------- | -------- | | Brook Trout | | | | Catfish | | | | Smallmouth Bass | | | Take two samples of fish from a pond and analyze the results. What is the average number of bass found in both samples? What is the ratio of the average number of bass to the average number of fish in each sample?

📝 Answered - Select the correct answer. A rectangular sheet of steel is being cut so that the length is four times the width. The perimeter of the sheet must be less than 100 inches. Which inequality can be used to find all possible lengths, $l$, of the steel sheet? A. $\frac{5}{2} l>100$ B. $10 l<100$ C. $\frac{5}{2} l<100$ D. $10 l>100

📝 Answered - Combine and simplify the following radical expression: [tex]$\sqrt[3]{6} \cdot \sqrt[3]{4}$[/tex]

📝 Answered - If 400 km will require 30 L of diesel, find the rate of fuel consumption.

📝 Answered - \frac{\sqrt{13}}{2}+\frac{2 \sqrt{13}}{3}