Graph a line with d and t in proportional relationship, where a 5-unit increase in t corresponds to a 2-unit increase in d. Find the unit rate of change of d with respect to t.
Vito is solving a system of linear equations using substitution. Which equivalent equation could he use? y+3x=−42x−3y=−21 (A) 2(3x−4)+3x=−21
(B) 2(−3x−4)+3x=−21
(C) 2x−3(3x−4)=−21
(D) 2x−3(−3x−4)=−21
Use the Quadratic Formula to find the x-intercepts of the equation \mathbf{$\mathbf{ax^2 + bx + c = 0}$} \text{ where } \mathbf{$\mathbf{a=1, b=-7, c=12}$}.
Lisa built a 1:36 scale model of a jet plane. If the model's wingspan is 921 inches, what is the real jet's wingspan? (a) 2821ft (b) 30ft (c) 3543ft (d) 3841ft (e) 40ft
Roll a 12-sided die, each number from 1 to 12 is equally likely. What is the probability of rolling a number greater than 10? total number of outcomesnumber of outcomes greater than 10
Solve two linear equations and determine how to get one from the other.
A. 2x−1+3x=0
B. 5x−1=0
1) How can we get Equation B from Equation A?
(A) Add/subtract the same quantity to/from both sides
(C) Rewrite one side (or both) by combining like terms
Find the dividend yield on Stock A selling at 30pershare,whenCompanyApaysaquarterlydividendof0.15 per share. Round the dividend yield to the nearest tenth percent.
Diane wants to buy x books. Store A charges 19perbook,whileStoreBcharges15 per book. Find the number of books x Diane should buy to minimize the total cost.
Determine the length of a device made of two metal blocks and a copper tube, with the given dimensions and uncertainties. Calculate the length, uncertainty, and percentage uncertainty. Length of device: 0.10±0.02m+5.2±0.002m+0.333±0.02m
Uncertainty in length: (0.02)2+(0.002)2+(0.02)2
Percentage uncertainty in length: Length of deviceUncertainty in length×100%
Find the digit in Knox's number that has a value 10 times greater than the corresponding digit in his mother's number. Knox had $14,590 good ideas, while his mother had 41,350 great ideas.
Find the best approximation of the solution to a system of linear equations, where the x-value is between 0 and 1, then between 0.5 and 1, and the values of y for each x are given in a table.