Answers
Answer:
1A: all real numbers
1B: x = {-3, 0, +18}
1C: (-3, 0) U [3, 18)
2A: h(x) = -1/160x^2 +1/2x
2B: focus: (40, -30); directrix: y = 50; axis of symmetry: x = 40
Step-by-step explanation:
1A:The graph is attached. The domain is all real numbers.
__
1B:The x-intercepts for x < 3 are the zeros of the quadratic:
x^3 -9x = 0
x(x^2 -9) = 0
x(x +3)(x -3) = 0 ⇒ x = 0, -3, +3 . . . . x=3 is not in the domain of this piece
The x-intercepts for x ≥ 3 are the zeros of the log function:
-log4(x -2) +2 = 0
log4(x -2) = 2 . . . . . . add log4(x -2)
x -2 = 4^2 . . . . . . . . . take the anti-log
x = 2 +16 = 18 . . . . . . add 2
The x-intercepts of g(x) are x = {-3, 0, +18}.
__
1C:The graph shows the function is positive on the intervals ...
(-3, 0) U [3, 18)
__
2A:The vertex of the curve is given as (40, 10). The vertical scale factor will make the function 0 at x=0.
h(x) = a(x -40)^2 +10
h(0) = 0 = a(-40)^2 +10 = 1600a +10
a = -10/1600 = -1/160 = -1/(4·40)
The equation of the parabola is ...
y = -1/(160)(x -40)^2 +10
In standard form, this is ...
y = -1/160x^2 +1/2x
__
2B:When we computed the leading coefficient (a) in Part A, we found it to be -1/(4·40). This corresponds to 1/(4p) where p=-40 is the focus to vertex distance. The negative sign means the focus is 40 units below the vertex, at (40, -30). The corresponding location of the directrix is 40 units above the vertex, at y=50.
Of course the axis of symmetry is the vertical line through the vertex: x = 40. These are shown in the second attachment.
Related Questions
21 cans of tomato paste of the same size have weight of 7300 grams. What is the weight of 5 cans.
Answers
Answer:
answer is 347.6
Step-by-step explanation:
21/7300= 347.6
9.
10. Find two numbers such that five times the larger number plus twice the smaller is 70, and four
times the larger minus twice the smaller is 38.
Answers
The two numbers are 12 and 5.
Two equations can be derived from this question
5x + 2y = 70 equation 1
4x - 2y = 38 equation 2
Where:
x = larger number
y = smaller number
In order to determine the larger number, the following steps hare to be taken:
Add equation 2 and 1
9x = 108
Divide both sides by 9
x = 108/9
x = 12
In order to determine the smaller number, substitute for x in equation 1
5(12) + 2y = 70
60 + 2y = 70
70 - 60 = 2y
10 = 2y
y = 5
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
(3x(3)+9X(2)+27X)/3X
Answers
3x | 3x^3+9x^2+27x |x^2+3x+9x
- 3x^3
-------
9x^2
- 9x^2
---------
27x
- 27x
--------
0
Answer:
x^2 + 3x + 9x
Hope you could get an idea from here.
Doubt clarification - use comment section.
Examine the graphic organizer above. Which of the choices below BEST fills in the blank on the graphic organizer?
Answers
The difference between two numbers is 8. if 2 is added to the bigger number the result will be three times the smaller number. Find the numbers.
Answers
Answer:
The bigger number is 13 and the smaller number is 5
Solve the inequality. Graph the solution.
−16>x÷2
Answers
Answer:
-32>x
Step-by-step explanation:
-16>x÷2
-16×2>x
-32>x
Help a brother out.ill give brainlist
Answers
[tex]\text{a. cm}^2\\\\\text{b. cm}^3\\\\\text{c. cm}\\\\\text{d. cm}^2\\\\\text{e. cm}^3\\[/tex]
(x - y + z) : (y - z + 2w) : (2x + z - 10) = 2:3:5 Then ( 3x + 3z - 2w) : w = ?pgvzcmckyc?
Answers
Answer:
19
Step-by-step explanation:
in question given ,x = 2, y = 3, z = 5 in this way
(3x+3z+2w) and find the value of w . according to given values and put
Answer:
4 +30/w . . . . for any w≠0
Step-by-step explanation:
The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.
The ratio requirement means ...
(x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5
Considering the first equality, we can multiply by 6 and subtract the right side.
3(x -y +z) -2(y -z +2w) = 0 ⇒ 3x -5y +5z -4w = 0
Considering the first and last expressions, we can multiply by 10 and subtract the right side.
5(x -y +z) -2(2x +z -10) = 0 ⇒ x -5y +3z = -20
These two equations have solutions ...
x = 10 -z +2w
y = 6 + 0.4z +0.4w
Using these expressions in the ratio of interest, we have ...
(3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w
= (30 +4w) : w
Expressed as a mixed number, the ratio of interest is ...
(30 +4w)/w = 4 +30/w . . . . an infinite number of solutions
__
For positive values of w that are divisors of 30, there are 8 possible values:
(w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)
_____
Check
It might be interesting to substitute the expressions for x and y into our original equation(s).
(x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)
(y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)
(2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)
All of these expressions are identical, as they should be.
Helppp for a math exammm
Answers
Answer:
d.
Step-by-step explanation:
answer both pls help fast
Answers
Answer:
Answers given in the photo
For what values of x and y are the triangles to
the right congruent by HL?
M
X=1
35
=
and y=
Answers
Answer:
y=48
Step-by-step explanation:
180-135=55-7=y=48
Assume that police estimate that 30% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars
to check for seatbelt use. They stop 40 cars during the first hour.
a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the
fact that the mean of a geometric distribution is j = and the variance is 02 - 9
1
р
2
b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
=
물
...
The mean is
(Round to the nearest tenth as needed.)
The variance is
(Round to the nearest tenth as needed.)
The standard deviation is
(Do not round until the final answer. Then round to the nearest tenth as needed.)
They expect to stop cars before finding a driver whose seatbelt is not buckled.
(Round to the nearest tenth as needed.)
Answers
Using the binomial distribution, it is found that:
a)
The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.b) They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.
For each driver, there are only two possible outcomes, either they wear their seatbelts, or they do not. The probability of a driver wearing their seatbelt is independent of any other driver, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In this problem:
30% of drivers do not wear their seatbelts, hence [tex]p = 0.3[/tex].They stop 40 cars during the first hour, hence [tex]n = 40[/tex].Item a:
[tex]E(X) = np = 40(0.3) = 12[/tex]
[tex]V(X) = np(1-p) = 40(0.3)(0.7) = 8.4[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{40(0.3)(0.7)} = 2.9[/tex]
Hence:
The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.Item b:
The number of trials until q successes of a binomial variable is modeled by a geometric distribution, with expected value given by:
[tex]E(X) = \frac{q}{p}[/tex]
In this problem, one success, hence [tex]q = 1[/tex] and:
[tex]E(X) = \frac{q}{p} = \frac{1}{0.3} = 3.3[/tex]
They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
In a school of 500 students, 30% had I-Phones. The percent of boys to gi
were 25% and 75% respectively.
A. Calculate (I) the number of students with I-PhonesIn a school of 500 students, 30% had I-Phones. The percent of boys to gi
vere 25% and 75% respectively.
Answers
Answer:
tbh,I would calculate the girls to boys ratio.
Step-by-step explanation:
I mean, them boys gotta be in female heaven.
25% of them, the rest being girls, dang, imagine being handsome. lots of gf's
and FYI, it's iPhone not an i-phone.
What are the measures of the other three angles formed by the intersection
Answers
Answer:
angle 1 130°
angle 2 50°
angle 3 130°
Step-by-step explanation:
180°-50°=130°, use one of the road as the straight line,
which is 180° so angle 1 is 130°
which means angle 2 is also 50° because 180°-130° is 50°
and angle 3 is 130° because 180°-50°=130°
Hope this helps :)
You have a balance of $4,500 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40. You miss a payment. What are your fees plus interest for the month?
Answers
Answer:
multiplying 4500 by .01. This gave me $45 as in interest. Then I added the payment fee, $40. 40+45 is 85,
Step-by-step explanation:
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropiate formula. The perimeter is 98 in. and the width is 22 in.
Answers
Answer:
the length of rectangle is 27 in
Find the period of the function y=3/2 tan(1/3^x)
A) π/3
B) π/6
C) 3 π
D) π
Answers
#8) Identify all pairs of congruent sides
Answers
Please help me solve this
Answers
Answer:
Solve what?
Step-by-step explanation:
You didn't put the question.
Help please ! Sishsoshsishsjdhshishd
Answers
Which of the following statements correctly uses the distributive property?
-2(15 - 3) = -2(15) + (-2)(3)
7(9 - 8) = 7(9) - 8
9(-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)
Answers
Step-by-step explanation:
9(-7 + 6) = 9(-7) + 9(6)
Hope it help !
Max worked for 2/3 hour. It takes 1/6 hour to make one card. How many cards has Max made? Provide students with fraction bars or guide them in creating a tape diagram as they work in pairs to solve.
Answers
Answer: Max has 4 cards.
Step-by-step explanation: 2/6 is equal to 1/3 so 4/6 is equal to 2/3
Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.
Answer:
4 cards
Step-by-step explanation:
Each card takes [tex]\frac{1}{6}[/tex] of an hour to be completed, and Max works for [tex]\frac{2}{3}[/tex] of an hour, so Max must've completed x amount of cards in
[tex]\frac{1}{6} x=\frac{2}{3}[/tex]
And we can solve the equation by multiplying the reciprocal of [tex]\frac{1}{6}[/tex] , which is [tex]\frac{6}{1}[/tex],to solve for x:
[tex]\frac{6}{1} * \frac{1}{6} x = \frac{2}{3} * \frac{6}{1} \\ \frac{6 *1}{6*1} x=\frac{2*6}{3*1} \\ \frac{6}{6} x=\frac{12}{3} \\[/tex]
And for any fraction, if the denominator and the numerator are the same number (except for 0), then it will result in 1.
[tex]1x=\frac{12}{3}[/tex]
The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:
[tex]x=\frac{12}{3}[/tex]
And we can simplify the fraction...:
[tex]x=4[/tex]
And we are done!
Couldn't make a fraction bar but hopes this helps :(
it's C. y = 1/2x + 2
Answers
Answer: what are you asking im lost
Step-by-step explanation:
Which function is a translation of the parent absolute value function?
(will give branliest)!!!!
Answers
Answer:
f(x)=|x+6|
Step-by-step explanation:
it moves 6 to the left!
Kenya uses mental math to find the sum of 235 and 23. She uses 235,20 and one other number. What is the missing number
Answers
Answer:
Step-by-step explanation:
She is missing 3. 235 plus 20 is 255 but the answer is 258 so she is missing 3
A metric drawing scale of 1:100 typically depicts units in
Answers
Answer:
This usual depicts units in centi-metre
Usually Centi-(and the unit you have)
Step-by-step explanation:
Because it is 1 in 100
100 is what centi means, so centi-metre
Like centipede, an insect with 100 legs
1:100 means 1 in 100
or one centi-metre
Hope this helps!
Determine which of the values is a solution of 4t + 6 less thank or equal to 10.
Answers
Answer:
Can you put the screen more closer to the values
Step-by-step explanation:
Or you could type in the values so i can see.
Solve the quadratic equation by using a numeric approach.
0.02x squared + 0.5x - 4 = 0
a. x = 1.3 and x = -23.2
c. x = 5.6 and x = -32.3
b. x = 2.8 and x = -20.5
d. x = 6.3 and x = -31.3
Answers
The solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Given the quadratic function expressed as;
0.02x²+ 0.5x - 4 = 0
Multiply through by 100 to have;
2x² + 50x - 400 = 0
Using the general formula to solve:
x = -50±√2500-4(2)(-400)/2(2)
x = -50±√2500+3200/4
x = -50±75.49/4
x = -31.3 or 6.3
Hence the solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Learn more on quadratic function here: https://brainly.com/question/25841119
Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
Answers
Answer:
SSS, congruent.
Hope you could get an idea from here.
Doubt clarification - use comment section.
How would you express sin(-a-b)
Answers
Answer:
-4-7
Step-by-step explanation:do 4 and 7