Mathematics

For the quadratic function: f(x)=-x^2+4x-9 how to find vertex, the axis of symmetry, x and y intercepts

Vertex: Does it open up or open down? Axis of symmetry? X intercept? Y intercept?-f (x) = - ( x ² - 4x ) - 9 f (x) = - ( x ² - 4x + 4 ) + 4 - 9 f (x) = - ( x - 2 ) ² - 5 Vertex ( 2 , - 5 ) A

Intregal of e^(-2t).dt between 0 and infinity

can anyone help me in this q please ??-The indefinite integral will be: =1/2 e ^-2t when t = 0 the function = 1/2 when t = infinity the function = A very very small number! 1/2 - ~0 = 1/2 So I thin

Sum to infinity of a non-geometric series

sum of a non geometric infinite series:1/([2n-1]^2)where n is an integer greater or equal to 1. so the first few terms are : 1+1/9+1/25+1/49+1/81+1/121... i know the answer is (Pi^2)/8 but i dont und

Easy factoring question

17x^3y^2 - 34x^4y^2 Youd do (17x^3y^2) = 34x^4y^2 Then 17x^3y^2/17x^3y^2 = 1 and 34x^4y^2/17x^3y^2 = 2x so 1 = 2x = 1/2 = x right?-17x^3y^2 - 34x^4y^2=17x³y²(1-2x)

For the linear inequality 2(x-2)-4x≥ x+2 how to find the solution and express it in interval notation

2(x - 2) - 4x ≥ x + 2 2x - 4 - 4x ≥ x + 2 -2x - 4 ≥ x + 2 -3x - 6 ≥ 0 Here you want to divide by negative three and notice that the inequality will reverse: x + 2 ≤ 0 x ≤ -2 (-∞, -2]-2x-4-4x>x+

Can someone help me with this stratifield sampling question please

Male adults-310 Female adults-240 Male children-125 Female children-65 I added all those together and I got 767 The size of the sample is 50 work out the number of male adults that should be in the

How to use the properties of logarithms to rewrite the expression as a single logarithm and simplify....

log (base 7)(x-4)+log (base 7)(x+4)=-Using Log(base 7)(a) + Log (base7)(b) = Log (base 7)(ab): Log (base 7)(x-4) + Log (base 7)(x+4)= Log (base 7) ((x+4)(x-4)) = Log (base 7)(x^2 + 4x - 4x + 16) = L

For the three-part inequality 3≤ -6-(a+4)≤ 6 how to find the solution and express it in interval notation

3≤-6-(a+4)≤ 6 3≤ -6-(a+4)-6-(a+4)≤ 6 9≤-a-4-a-4≤12 13≤-a-a≤16 -13≥aa≥-16-13≥a≥-16

Geometry help!! 10 points!! please help..

5. How many y-intercepts does the circle x^2 + (y – 2)^2 = 16 have? 0 2 3 4-when X=0 (y-2)^2 =16 taking square rootwe get y-2 = + or - 4 giving y= 6 or -2 therefore there are 2 intercepts.

Which of the following series are conditionally convergent? Why

i) Σ (-e)^-n ii) Σ (-1)^n*1/n iii) Σ (-1)^n*1/n^2 I understand that in order for conditional convergence you must have a series such that Σ | an | is divergent while Σ an is convergent. Just trying

Crazy Question!! {Physics and Calculus Students Help needed!!]

A 0.01 N ant is standing on the back of a couch inclined at 75* to the horizontal. What is the frictional force that is keeping the ant on the couch?!! I am getting 0.0025 N as the answer but teacher

How to solve a algebraic equation by graphing

Such as -2x+13=4x-17-See where it intersects on a graphing calculator enter those two equations into a graphing calculator and see where they intersect or you could do it manually too the answer is

Integrate (1/((e^(x+1))+(e^(3-x))) dx from x=1 to infinity

Integrate (1/((e^(x+1))+(e^(3-x))) dx from x=1 to infinity? the answer is pi/(4e^2). Id like to know how to solve. This is a tough one. It involves atan i guess-∫(x = 1 to ∞) dx / [e^(x+1) + e^(3-x)]

Profit/revenue question!help!!!:)

A store owner can sell 275 key chains per day at a price of $2 each. The cost per key chain to the owner is $1.50. For each 10 cent increase in price, there is a decrease in sales of 25 key chains. Wh

What's the probability of selecting the same type of coin twice if no replacement occurs

there are 5 pennies. 7 nickels. 9 dimes. two coins are selected and they must be the same type. theres no replacement whats the probability?-21 coins in total Pr = (5 * 4 + 7 * 6 + 9 * 8) / (21*20) =