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Let f(x)=1-2x      g(x)=3x2+x-1   Then, (fog)(x)=f(g(x))=1-2(3x2+x-1) (substitute the g function into the f function)                                 ...

"Average" implies you will use the mean (μ):   μ = 9.4 hrs.   n =20 days (since σ is known use z-test)  σ = 0.8 hrs.   x-bar(sample mean) =8.6 hrs.   level of significance==>α = 0.05 (one-tail test since claim < )   H0...

Use Margin of Error formula E =±tα/2 (s/√n) since σ unknown 99% CI ==> α=.01 ==> α/2 =.005 degrees of freedom=n-1=7-1=6 Looking at table for t-distribution at 99%C-Level, critical value = 3.707 Substitute all these values into formula: a.) E = ±3.707(0.04/√7)     ...

a.) Since eight sided and single roll gives you a math expectation of 1/8. b.) 1st roll: 1/8      2nd roll:1/8    1/8+1/8+1/8+1/8 = 4/8      3rd roll: 1/8      4th roll: 1/8 c...

X= 1st roll→     1         2      3      4      5     6                         1...

There are 20 marbles total 10 Red 10 Blue   Since the marbles are with replacement, it means each pick is independent of the other-- the probability of each pick will be the same. a.)Probability of picking red marble==> P(Red)= 10/20 (Since the marbles are...

x= 20% of 40 = .20(40)=8 Confidence Interval/Level= .99 Using TI-83 Plus Graphing Calculator: Press STAT,TESTS, A: 1-PropZInt, x:8, C-Level: .99, Calculate answer: (.03709, .36291)   To calculate without graphing calculator, use formula Confidence Interval for...

Set up like a ratio:\$5 saved = \$1 cost                             \$x saved =\$35 cost   So, (15,000)(35)= \$525,000 (cost) for immunizations and...

First take x+y=14 and solve for either x or y. Then, substitute that into the other equation: Solving for y, you get:  y=-x+14 Now, substitute into x2+y2=100 ==> x2+ (-x+14)2 = 100                                              ...

polynomial because it has whole number for exponent(s)

Domain is all real numbers written in interval notation (-οο,οο) Those are infinity notation(sideways 8's) but didn't have a symbol key for it.

This is the graph of an upside down(because negative sign in front) parabola.   Since this is standard form of a quadratic equation (f(x)=ax2 + bx+ c), you can start by  finding the "x" part of the vertex:   Use the formula x=-b/2a =-3/2(-1)...

The equation  h(x)= x9 +4 is considered  a polynomial, which means can only have whole numbers as exponents. The domain of polynomials is all real numbers.

Midpoint formula = ((x1+x2)/2, (y1+y2)/2) Substitute the points given into this formula. Given (-2,5), (7,3) Midpoint=((-2+7)/2, (5+3)/2)=(5/2,8/2)=(5/2,4)

Answer is C.)Graphs have same shapes with different vertices. One vertex is (5,1) for Y= 3(x-5)2 +1 and the other is (-5,1) for Y= 3(x+5)2 +1.

Use y-y1 =m(x-x1) Find slope first: m= -4-(-1) = -4+1 = -3 =  3                               -5-3          ...

The counter examlple is (D.) a=0. If you substitute a=0 into the equation, you get f(x)=b. So, now the Range is just y=b or {b}.

Use Pythagorean Theorem a2 + b2 = c2  to find slant height: Since one side of base of pyramid is 755ft, divide by 2 = 377.5ft to get base of right triangle that formed by height and slant height of pyramid. Let a = length of base of triangle      ...

To find inverse: Step 1:Rewrite h(x) as "y" Step 2: Swap/Swicth the places of x and y Step 3: Solve for the "new" y Step 4: Rewrite y as "h-1(x)"   step 1: h(x) = -3x + 6               ...

Using the quadratic formula x = -b ± √b2  - 4                                                        ...