Answers
Answer:
y={-5,-4,-5/2,-13/3}
Step-by-step explanation:
a.f(-2)=y=1/2(x)-4
substitute -2for x
y=1/2(-2)-4
y=-1-4
y=-5
b.f(0)
y=1/2(0)-4
y=0-4
y=-4
c.f(3/2)
y=1/2(3/2)-4
3/2-4
find the L.C.M=2
3/2-4/1
3-8/2
-5/2
d.f(-2/3)
y=1/2(-2/3)-4
-2/6-4
2 into itself 1 ,2 into 6 ,3
-1/3-4
find the least common multiple equal to 3
-1/3-4/1
-1-12/3
y=-13/3
Related Questions
(4/4) PLEASE HELP! URGENT.. LAST QUESTION. WILL MARK BRAINLIEST AND 5 STARS IF CORRECT ASAP! -50POINTS-
Answers
Answer:
As x → - ∞ , y → - ∞ and as x→ ∞ , y → -∞
option B is the correct option.Step-by-step explanation:
f ( x ) = - 5x⁴ + 7x² - x + 9
Here, dominating term is ( -5x⁴ ) which has even exponent.
Now, as x → ∞ ⇒ - 5x ⁴⇒ - ∞ [ x⁴ → ∞ ]
⇔ f (x) → - ∞ [ -5x⁴ is dominating term ]
x→ ∞ , y → -∞
as x→ - ∞ , ( -5x⁴ ) → - ∞ [ x⁴ → ∞ ]
as x→ - ∞ , y → -∞
Hence, Option B is the correct option.
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You just have to focus on leading term, which is the term that has highest exponent of variable, as in our case , it is -5x⁴.
And then find leading coefficient, whether it is positive or negative degree ( power of variable) and whether it is even number or odd number)
Then, if leading coefficient is negative and degree is positive then always y will approach -∞ .
Hope this helps...
Best regards!!
Answer:
As x goes to negative infinity, y goes to - ∞
As x goes to infinity, y goes to - ∞
Step-by-step explanation:
We need to look at the dominate term
-5x^4
As x goes to negative infinity
-5 *(- ∞) ^ 4 = -5 * ∞ = - ∞
As x goes to negative infinity, y goes to - ∞
As x goes to infinity
-5 *( ∞) ^ 4 = -5 * ∞ = - ∞
As x goes to infinity, y goes to - ∞
Evaluate ƒ(x) = 3|x – 2| + 1 for ƒ(–2) and ƒ(1).
Answers
Answer:
ƒ(x) = 3|x – 2| + 1
To find f(-2) substitute - 2 into f(x)
That's
f(-2) = 3| - 2 - 2 | + 1
= 3| - 4| + 1
But absolute value of any number is positive including negative numbers
That's
| - 4 | = 4
So we have
3(4) + 1
12 + 1
f(-2) = 13To find f(1) substitute 1 into f(x)
That's
f(1) = 3 | 1 - 2| + 1
= 3 | - 1| + 1
But | - 1| = 1
= 3(1) + 1
= 3 + 1
f(1) = 4Hope this helps you
Answer:
f(-2) =13
f(-1) = 4
Step-by-step explanation:
ƒ(x) = 3|x – 2| + 1
Let x = -2
ƒ(-2) = 3|-2 – 2| + 1
= 3 | -4| +1
Taking the absolute value
= 3*4 +1
= 12 +1 = 13
Let x = 1
ƒ(1) = 3|1 – 2| + 1
= 3 | -1| +1
Taking the absolute value
= 3*1 +1
= 3 +1 = 4
The board of directors of Midwest Foods has declared a dividend of $3,500,000. The company has 300,000 shares of preferred stock that pay $2.85 per share and 2,500,000 shares of common stock. After finding the amount of dividends due the preferred shareholders, calculate the dividend per share of common stock.
Answers
Answer:
$1.06 per share
Step-by-step explanation:
Calculation for dividend per share of common stock for board of directors of Midwest Foods
First step is to find the dividends due to the preferred shareholders
Dividends due to the preferred shareholders will be calculated as:
Using this formula
Total Dividend =Dividend- (Preferred stock *Per share of preferred stock )
Where,
Dividend=$3,500,000
Preferred stock =$300,000
Per share of preferred stock =$2.85
Let plug in the formula
Total Dividend =$3,500,000-($300,000*$2.85)
Total Dividend =$3,500,000-$855,000
Total Dividend =$2,645,000
The second step is to find Dividend per share of common stock
Using this formula
Dividend per share of common stock=Total dividend/Shares of common stock
Where,
Total dividend=$2,645,000
Shares of common stock=$2,500,000
Let plug in the formula
Dividend per share of common stock=$2,645,000/$2,500,000
Dividend per share of common stock=$1.06 per share
Therefore the dividend per share of common stock for board of directors of Midwest Foods will be $1.06 per share
O A. lw= (x - 5)(x - 5); 49 square feet
O B. /w = x(x - 5); 84 square feet
O c. /w = (x + 5)(x + 5); 289 square feet
D. lw= (x + 5)(x - 5); 119 square feet
Answers
Answer:
D. [tex] lw = (x + 5)(x - 5) ; 119 ft^2 [/tex]
Step-by-step explanation:
Dimensions of the old square brick patio:
[tex] length (l) = x ft [/tex]
[tex] width (l) = x ft [/tex]
Note: a square has equal side measure
Dimensions of the new patio
[tex] length (l) = (x + 5) ft [/tex] ==> she increased length by 5 ft
[tex] width (l) = (x - 5) ft [/tex] she reduced width by 5 ft
Expression of the length and width of the new patio is: [tex] lw = (x + 5)(x - 5) [/tex]
Area of the new patio:
Dimension of original patio = x by x = 12 ft by 12 ft.
To find area of the new patio, replace x with 12 in the expression, [tex] lw = (x + 5)(x - 5) [/tex] , which gives you the area.
[tex] area = lw = (12 + 5)(12 - 5) [/tex]
[tex] area = (17)(7) [/tex]
[tex] area = 199 ft^2 [/tex]
Answer is D. [tex] lw = (x + 5)(x - 5) ; 119 ft^2 [/tex]
Assume production time per unit is normally distributed with a mean 40 minutes and standard deviation 8 minutes. Using the empirical rule, what percent of the units are produced in MORE than 32 minutes?
Answers
Answer:
84%
Step-by-step explanation:
We find the z-score here
z= x-mean/SD = 32-40/8 = -1
So the probability we want to find is;
P(z>-1)
This can be obtained using the standard score table
P(z>-1) = 0.84 = 84%
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 22 feet high
Answers
Answer:
(11π/9 )ft/s
Step by step Explanation
Let us denote the height as h ft
But we were told that The diameter of the base of the cone is approximately three times the altitude, then
Let us denote the diameter = 3h ft, and the radius is 3h/2
The volume of the cone is
V = (1/3)π r^2 h
Then if we substitute the values we have
= (1/3)π (9h^2/4)(h) = (3/4)π h^3
dV/dt = (9/4)π h^2 dh/dt
We were given as 22feet and rate of 8 cubic feet per minute
h = 22
dV/dt = 8
8= (9/4)π (22) dh/dt
= 11π/9ft/s
Therefore, the rate is the height of the pile changing when the pile is 22 feet is
11π/9ft/s
PLEASE HELP ANSWER A-B Claire is considering investing in a new business. In the first year, there is a probability of 0.2 that the new business will lose $10,000, a probability of 0.4 that the new business will break even ($0 loss or gain), a probability of 0.3 that the new business will make $5,000 in profits, and a probability of 0.1 that the new business will make $8,000 in profits. A.) Claire should invest in the company if she makes a profit. Should she invest? Explain using expected values. B.) If Claire’s initial investment is $1,200 and the expected value for the new business stays constant, how many years will it take for her to earn back her initial investment? LOOK AT PICTURE BELOW
Answers
Answer:
Therefore, the volume V cyl is given by the equation: V cyl πr 2h (area of its circular base times its height) where r is the radius of the cylinder and h is its height. The volume of the cone (V cone) is one-third that of a cylinder that has the same base and height: .
Step-by-step explanation:
Write an inequality to model the situation.
A number exceeds 21.
n ≤ 21
n < 21
n > 21
n ≥ 21
Answers
Answer:
[tex]n >21[/tex]
Step-by-step explanation:
The number exceeds 21 or is greater than 21.
‘[tex]>[/tex]’ represents greater than.
Let the number be [tex]n[/tex].
[tex]n >21[/tex]
Which of the following exponential functions represents the graph below
Answers
Answer:
Option (B)
Step-by-step explanation:
Let the equation of the exponential function give in the graph is,
f(x) = a(b)ˣ
Since the given graph passes through two points (0, 3) and (-1, 1.5)
For (0, 3),
f(0) = a(b)⁰
3 = a(1) [Since b⁰ = 1]
a = 3
For (-1, 1.5),
f(-1) = a(b)⁻¹
1.5 = 3(b)⁻¹
1.5 = [tex]\frac{3}{b}[/tex]
b = [tex]\frac{3}{1.5}[/tex]
b = 2
Therefore, equation of the given function will be,
f(x) = 3(2)ˣ
Option (B) will be the answer.
Help me find the equation and tell me if 22 or 12 is wrong
Answers
Answer:
your answer is correct.
Find the sum of -395,102, -27, -95
Answers
Answer:
-415
Step-by-step explanation:
first, add -395+-27+-95, which equals -517
then, add 102 to -517(all you do is subtract 102 from 517 and put a negative sign in front of that answer), in which you would get -415.
4km in the ratio 9:4:7
Answers
Answer:
500km
Step-by-step explanation:
add all the proportions and then divide by 3. with conversion.
Solve the matrix equation.
Answers
Answer:
answer there
Step-by-step explanation:
hope it. was. helpful
Bobby has $27 to spend on ice cream for the month. The ice cream he likes is $2 each. How many ice creams can he buy this month?
Answers
Answer:
13
Step-by-step explanation:
Divide:
27 ÷ 2 = 13 r1
So, he can buy 13 but has a dollar left.
Hope this helps you out! : )
find the arithmetic
mean median and mode
Answers
Step-by-step explanation:
The formulae to find them are:
arithmetic mean in individual series = sum x/Narithmetic mean in discrete data= sum fx/Narithmetic mean in continuous data= sum fm/N[tex]median = \frac{n + 1}{2} th[/tex]and mode= number of greatest frequency.
(note; f is frequency, N is number of data and x is x is the raw data)
hope it helps..
what is the ratios 3/4 in it simplest form
Answers
Answer:
3/4
Step-by-step explanation:
3/4 is already in it's simplest form as you already know that consecutive numbers don't have anything in common to multiply.So, it is in it's simplest form.
Hope it helps u : )
The equivalent and the percentage form of 3/4 are 12/16 and 75% respectively.
What is the ratio?
The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, the ratio of 3/4
Percentage of 3:4 = 34×100%=75%
the equivalent ratio of 3:4 is 12:16.
A ratio is a fraction that may compare part to whole or part to part. For example, suppose in a class, the ratio of boys to girls is 3 to 4. It means that the number of boys divided by the number of girls is a fraction that, in its simplest form, equals 3 over 4.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ3
Y = -4x + 11 , 3x + y = 1
Answers
Answer:
(10, -29)
Step-by-step explanation:
I assume you are looking for the solution to this system of equations.
Plug them both into a graphing calculator. The point where they cross is:
(10, -29)
Answer:(10, -29)
Step-by-step explanation:
The measure of minor arc JL is 60°. Circle M is shown. Line segments M J and M L are radii. Tangents J K and L K intersect at point K outside of the circle. Arc J L is 60 degrees. What is the measure of angle JKL? 110° 120° 130° 140°
Answers
Answer:
angle JKL = 120 degrees
Step-by-step explanation:
Since arc JL is 60 degrees, the central angle is also 60 degrees.
Point K is the intersection of tanges at J and L, therefore KJM and KLM are 90 degrees.
Consider quadrilateral JKLM whose sum of internal angles = 360.
Therefore
angle JKL + angle KLM + angle LMJ + angle MJK = 360 degrees
angle JKL + 90 + 60 + 90 = 360
angle JKL = 360 - 90 - 60 -90 = 120 degrees
Answer:
120 degrees
Step-by-step explanation:
Since arc JL is 60 degrees, the central angle is also 60 degrees.
Point K is the intersection of tanges at J and L, therefore KJM and KLM are complementary or equal 90 degrees.
look at quadrilateral JKLM whose sum of internal angles = 360.
Therefore
angle JKL plus angle KLM plus angle LMJ plus angle MJK = 360 degrees
angle JKL + 90 + 60 + 90 = 360
Find the value of x.
Answers
Answer:
x = 26
Step-by-step explanation:
Since a triangle adds up to 180 degrees, we can do:
x + 4x - 5 + 55 = 180
5x + 50 = 180
5x = 130
x = 26
Yesterday a car rental agency rented 237 vehicles, of which 51 were sport utility vehicles.
What is the experimental probability that the first vehicle rented today will be a sport utility
vehicle?
Write your answer as a fraction or whole number.
P(sport utility vehicle)
Submit
Next up
Dong for now? Try these next:
Answers
Answer:
21.5%
Step-by-step explanation:
51 divided by 237 to get percentage (237*.215% = 51)
Good answer fast Find the value of y
Answers
Answer: y = 90°
Step-by-step explanation:
55.30786941 = sin-1 (148/180) round to 55.3° angle x
34.69213059 = cos-1 (148/180) . round to 34.7° "angle z" at right
34.7 +55.3 = 90
Sum of All angles of the triangle = 180° 180 -90 = 90
If angle x is 55.7 and angle z is 34.7° Angle y must be 90°
Ratio of inscribed arcs = ratio of chord to diameter
which of the following demonstrates how the first 21 on the left side of the triangle is calculated using the combination pattern?
Answers
Answer:
d
Step-by-step explanation:
Sometimes distinct patterns around a trend line can be caused by A. statistical anomalies. B. dummy variables. C. seasonal variation. D. poor underlying data.
Answers
Answer:
C. Seasonal variation
Step-by-step explanation:
Distinct pattern around a trend line can be caused by seasonal variation.
Seasonal variation refers to a component of a time series which can be defined as the repetitive and predictable movement around the trend line in a year or less. It is caused by temperature, rainfall, public holiday and cycles of season
Seasonal variation can be detected by measuring the quantity of interest for small time intervals, such as days, weeks, months or quarters.
Firms affected by seasonal variation are usually interested in knowing their performance relative to the normal seasonal variation. They need to identify and measure this seasonality so as to help with planning.
Solve the following for x. 3(x-2)-6x=4(x-5)
Answers
Answer:
x=2
Step-by-step explanation:
3(x-2)-6x=4(x-5)
Distribute
3x -6 -6x = 4x -20
Combine like terms
-3x-6 = 4x-20
Add 3x to each side
-3x-6+3x = 4x-20+3x
-6 = 7x-20
Add 20 to each side
-6+20 = 7x-20+20
14 = 7x
Divide by 7
14/7 =7x/7
2=x
Answer:
x = 2Step-by-step explanation:
[tex]3(x - 2) - 6x = 4(x - 5)[/tex]
Distribute 3 through the parentheses
[tex]3x - 6 - 6x = 4(x - 5)[/tex]
Distribute 4 through the parentheses
[tex]3x - 6 - 6x = 4x - 20[/tex]
Collect like terms
[tex] - 3x - 6 = 4x - 20[/tex]
Move variable to L.H.S and change it's sign
[tex] - 3x - 4x - 6 = - 20[/tex]
Move constant to RHS and change it's sign
[tex] - 3x - 4x = - 20 + 6[/tex]
Collect like terms
[tex] - 7x = - 20 + 6[/tex]
Calculate
[tex] - 7x = - 14[/tex]
Divide both sides of the equation by -7
[tex] \frac{ - 7x}{ - 7} = \frac{ - 14}{ - 7} [/tex]
Calculate
[tex]x = 2[/tex]
Hope this helps..
Best regards!!
PLZ HURRY WILL MARK BRAINLIEST The stem and leaf plot shows the number of points a basketball team scored each game during its 15-game season. In how many games did the team score at least 70 points? 4 5 8 10
Answers
Answer:
5 games
Step-by-step explanation:
To find how many games the team scored at least 70 points, we need to look at the 7 on the stem side. The 7 means 70, and we add the digits on the leaf side. For example, 7 | 2 is 72. The numbers on the leaf side are: 1, 1, 2, and 3.
There are no points for the 8 on the stem side, but on 90, there is one digit on the leaf side: 1. So, the points they scored over 70 are 71, 71, 72, 73, and 91, which equals to five games.
Answer:
[tex]\boxed{\mathrm{5 \ games}}[/tex]
Step-by-step explanation:
At least 70 points makes it 70 and more. It should be at least 70 and at most anything above then 70.
So, In 5 games, the team scored at least 70. (71,71,72,73 and 91)
what is the factorization of 2x^2+28+98
Answers
Answer:
[tex]2(x^2+63)[/tex]
Step 1:
To solve this, we have to add the terms without any variables together.
[tex]2x^2+28+98\\2x^2+126[/tex]
Step 2:
To factor this, we have to find the multiples of 2x^2 and 126.
[tex]2x^2 = 2x, x\\126 = 63, 2[/tex]
Now, we can factor these numbers like this:
[tex]2(x^2+63)[/tex]
When we multiply the numbers, we get 2x^2 + 126, and when we separate 126, we get our original question, so that means our factoring is correct.
The graph of y=−x+2 is shown below.
Answers
Answer:
What is the question?
Step-by-step explanation:
Find the probability of each event. A class has five boys and nine girls. If the teacher randomly picks six students, what is the probability that he will pick exactly four girls?
Answers
Answer: [tex]\dfrac{60}{143}[/tex]
Step-by-step explanation:
Given, A class has five boys and nine girls.
Total students = 5+9=14
Number of ways to choose 6 students out of 14= [tex]^{14}C_6[/tex] [Using combinations]
Number of ways to choose 4 girls out of 6 (4 girls + 2 boys = 6 ) = [tex]^{9}C_4\times\ ^{5}C_2[/tex]
If the teacher randomly picks six students, then the probability that he will pick exactly four girls:-
[tex]\dfrac{^{9}C_4\times \ ^{5}C_2}{^{14}C_6}[/tex]
[tex]=\dfrac{\dfrac{9!}{4!5!}\times\dfrac{5!}{2!3!}}{\dfrac{14!}{6!8!}}\\\\=\dfrac{1260}{3003}\\\\=\dfrac{60}{143}[/tex]
hence, the required probability = [tex]\dfrac{60}{143}[/tex] .
Help ASAP it’s Math I need this rightnow 31 points
Answers
Answer:
AC (b)
Step-by-step explanation:
Since 10 is half of 20, you have to find the variable closest to the middle. Which in this case, is C. So, your awnser is B. (AC)
Answer:
[tex]\boxed{\sf C}[/tex]
Step-by-step explanation:
The whole segment is [tex]\sf \sqrt {20}[/tex], we can see that AD is approximately 75% of the segment AE.
[tex]75\%*\sqrt{20} = 3.354102[/tex]
[tex]\sqrt{10}= 3.162278[/tex]
AC is almost half of AE.
[tex]\frac{\sqrt{20} }{2} = 2.2360679775[/tex]
[tex]\sqrt{10} = 3.16227766017[/tex]
It isn’t close to the option C.
i would like some help thank you :)
Answers
Answer:
[tex]\angle AE = 32^{\circ}[/tex]
[tex]\angle EAD = 212^{\circ}[/tex]
[tex]\angle BE = 133^{\circ}[/tex]
[tex]\angle BCE = 227^{\circ}[/tex]
[tex]\angle AED = 180^{\circ}[/tex]
[tex]\angle BD = 79^{\circ}[/tex]
Step-by-step explanation:
The central angle of a circle is equal to 360º, whose formula in this case is:
[tex]\angle AB + \angle BC + \angle CD + \angle DE + \angle EA = 360^{\circ}[/tex]
In addition, the following conditions are known from figure:
[tex]\angle BC = 47^{\circ}[/tex], [tex]\angle DE = 148^{\circ}[/tex]
[tex]\angle DE + \angle EA = 180^{\circ}[/tex]
[tex]\angle CD + \angle DE = 180^{\circ}[/tex]
[tex]\angle AB + \angle BC + \angle CD = 180^{\circ}[/tex]
Now, the system of equations is now solved:
[tex]\angle EA = 180^{\circ}-\angle DE[/tex]
[tex]\angle EA = 180^{\circ}-148^{\circ}[/tex]
[tex]\angle EA = 32^{\circ}[/tex]
[tex]\angle CD = 180^{\circ}-\angle DE[/tex]
[tex]\angle CD = 180^{\circ}-148^{\circ}[/tex]
[tex]\angle CD = 32^{\circ}[/tex]
[tex]\angle AB = 180^{\circ} - \angle BC - \angle CD[/tex]
[tex]\angle AB = 180^{\circ}-47^{\circ}-32^{\circ}[/tex]
[tex]\angle AB = 101^{\circ}[/tex]
The answers are described herein:
[tex]\angle AE = 32^{\circ}[/tex]
[tex]\angle EAD = 212^{\circ}[/tex]
[tex]\angle BE = 133^{\circ}[/tex]
[tex]\angle BCE = 227^{\circ}[/tex]
[tex]\angle AED = 180^{\circ}[/tex]
[tex]\angle BD = 79^{\circ}[/tex]