Determine the axis of symmetry and the vertex of the given function. y = 2x2 − 12x + 21 Axis of symmetry: x = Vertex: ( , ) Question solved general 10 months ago 8410
Which mathematical property is demonstrated?40 * (25 * 74) = (40 * 25) * 74Question 3 options:associative property of additioncommutative property of multiplicationcommutative property of additionassociative property of multiplication Question solved general 10 months ago 2448
Which equation represents the line that passes through the points (–3, 7) and (9, –1)?A) y = - 2/3 x + 5B) y = - 2/3 x - 7 C) y = 2/3 x - 7D) y = 2/3 x - 5 Question solved general 10 months ago 5467
In 2010, Washington Township created recreational soccer programs for the spring and fall seasons. The table shows the number of participants who registered for each season during the first four years,Participation in Town Soccer ProgramsYearSpring leagueFall leagueyear;2010spring league;68fall league;145year;2011spring league;79fall league;148year;2012spring league;90fall league;151year; 2013spring league; 101fall league; 154Which statement best describes the programs?A) Participation in the spring league is increasing more than twice as fast as participation in the fall league.b)Participation in the spring league is increasing at a slightly faster rate than participation in the fall league.C) Participation in the fall league is increasing more than twice as fast as participation in the spring league.D) Participation in the fall league is increasing at a slightly faster rate than participation in the spring league. Question solved general 10 months ago 5125
The probabilities of a positive response to two government programs from the citizens in eight cities are given in the table. City Positive Response for Program 1 Positive Response for Program 2 Atlanta 77.8% 82.1% Boston 86.4% 86.6% Chicago 65.9% 87.5% Dallas 73.8% 80.9% Houston 69.7% 79.4% Los Angeles 78.4% 88.1% Miami 82.5% 82.6% Newark 81.4% 83.3% Total 68.8% 81.7% What is the chance of a positive response for Program 2 given that the individual is from Los Angeles? Question solved general 10 months ago 8802
A taxi charges $2.50 for the first mile and $0.40 for each mile after that. The expression below shows how to find the total cost, in dollars, of a 20-mile taxi ride. 2.50 + 0.40 (20 - 1) What is the cost of the ride? Question solved general 10 months ago 6625
The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class population. What is the value of the numerator of the calculation of the variance? Question solved general 10 months ago 8645
A trick coin is made such that when it is tossed there is a 20% chance of heads landing face up and an 80% chance of tails landing face up. If the coin is tossed twice, what is the probability that the coin will land with heads facing up both times? Question solved general 10 months ago 4625
Michael owns a lawn care service. He charges each customer 30 + 12h dollars, where h represents the number of hours spent working on a lawn. What does each part of the expression represent? Drag the answer into the box to match each part of the expression. Question solved general 10 months ago 6053
Marlene rides her bicycle to her friend Jon's house and returns home by the same route. Marlene rides her bike at constant speeds of 6 mph on level ground, 4 mph when going uphill and 12 mph when going downhill. If her total time riding was 2 hours, how far is it to Jon's house? Question solved general 10 months ago 8074
At a sports camp, there is one counselor for every 12 campers. If there are 156 campers attending the camp, which equivalent ratios could be used to find the number of counselors? Question solved general 10 months ago 3879
The sale price of an item is $45 after a 40% discount is applied. What is the original price of the item? Question solved general 10 months ago 4273
Please help with Geometry!! <3 The following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other: Statement ReasonABCD is a rectangle. GivenLine segment AB and Line segment CD are parallel | Definition of a ParallelogramLine segment AD and Line segment BC are parallel | Definition of a Parallelogram______________ |Alternate interior angles theoremLine segment BC is congruent to line segment AD | Definition of a Parallelogram∠ADB ≅ ∠CBD | Alternate interior angles theoremΔADE ≅ ΔCBE | Angle-Side-Angle (ASA) PostulateLine segment BE is congruent to line segment DE CPCTCLine segment AE is congruent to line segment CE CPCTCLine segment AC bisects Line segment BD Definition of a bisector~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Which statement can be used to fill in the blank space? ∠ABD ≅ ∠DBC ∠CAD ≅ ∠ACB ∠BDA ≅ ∠BDC ∠CAB ≅ ∠ACB Question solved general 10 months ago 9579
A spherical balloon with radius r inches has volume V(r) = 4 3 πr3. Find an expression that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r + 5 inches. (Express your answer in terms of π and r.) Question solved general 10 months ago 6867
Odette deposited $3,624.40 into a savings account with an interest rate of 2.1% compounded annual. About how long will it take for the account to be worth $7,000?A. 31 years, 9 monthsB. 30 years, 9 monthsC. 28 years, 4 months Question solved general 10 months ago 9393
M(8, 5) is the midpoint of JK. The coordinates of point J are (5, −6) . What are the coordinates of point K? Question solved general 10 months ago 5922
Please Help!!! :)Ned currently has an account balance of $3,634.51. He opened the account 13 years ago with a deposit of $2,564.65. If the interest compounds twice a year, what is the interest rate on the account? A. 4.7% B. 5.4% C. 2.7% D. 1.4%Leroy opened a savings account 18 years ago with a deposit of $2,651.43. The account has an interest rate of 2.8% compounded twice a year. How much interest has Leroy earned?A. $4,373.68B. $2,725.67C. $4,358.69D. $1,722.25 Question solved general 10 months ago 8337
Suppose that b>0 and that the average value of f(x)=5x−5 on [0,b] is 14. find the value ofb. Question solved general 10 months ago 6586
For an arithmetic sequence where a1 = 13 and the common difference is 3, find s7. A. 162 B. 157 C. 154 D. 151 Question solved general 10 months ago 1094