Answer:
See below
Step-by-step explanation:
(-4,0) is the solution to x+4=0
(0,0) is the solution to x=0
(2,0) is the solution to x-2=0
Therefore, (x+4)(x-2)(x) = (x²-2x+4x-8)(x) = (x²+2x-8)(x) = x³+2x²-8x is the function that has the given zeroes
Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = 1 to x = 3
Answer:
c
Step-by-step explanation:
Relative Maxima means "a point that is higher than the points directly beside it on both sides", or when looking at derivatives, when the derivative of a function changes from above zero to below zero. If you're looking at a graph, all you have to do is find those points that seem to be poking out of the graph, aka c, when x=2.
Also look at the interval - (1,3), so... really, just by that, c would be your answer
According to a Gallup poll, 60% of American adults prefer saving over spending. You randomly select 4 adults and ask if they prefer spending over saving. Construct a probability distribution for the random variable x. Then graph the distribution. (Histogram)
Expected Value ______________________________
Standard Deviation _____________________________
B –
I-
N-
S-
Interpretation
Using the binomial distribution, it is found that:
The expected value is of 2.4.The standard deviation is of 0.76.The distribution is given by the histogram.For each person, there are only two possible outcomes, either they prefer saving, or they prefer spending. The preferences of each person are independent of any other person, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.The expected value is:
[tex]E(X) = np[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)}[/tex]
In this problem:
60% prefer saving over spending, hence [tex]p = 0.6[/tex]4 adults are selected, hence [tex]n = 4[/tex].Then:
[tex]E(X) = np = 4(0.6) = 2.4[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{2.4(0.6)(0.4)} = 0.76[/tex]
The histogram is sketched at the end of the answer.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
please help before it's Monday
Answer:
Mateo's data shows a negative association
Step-by-step explanation:
Okay, so the y-axis is his amount of typos. The x-axis is the number of pages.
We can clearly see the typos found number increasing through the number of pages. Which is bad :/
Hope this helps :)
Please help solve for a in the equation in the photo
[tex]\huge\bf Question:—[/tex]
[tex] \sf \longmapsto \: g=a(4− {d}^{2} )[/tex]
[tex]\huge\bf Solution:—[/tex]
[tex] \underline{\bf \: Flip \: the \: equation:—}[/tex]
[tex] \sf \longmapsto \: −a {d}^{2} +4a=g[/tex]
[tex] \underline{\bf \: Factor \: out \: variable \: (a):—}[/tex]
[tex] \sf \longmapsto \: a(− {d}^{2} +4)=g[/tex]
[tex]\underline{ \bf \: Divide \: both \: sides \: by -d^2+4 :—} [/tex]
[tex]\sf \longmapsto \: \dfrac{a( - {d}^{2} + 4) }{ { - d ^2+ 4}^{} } = \dfrac{g}{{ - d ^2+ 4}^{}} [/tex]
[tex]\sf \longmapsto \:1 a = \dfrac{g}{{ - d^2 + 4}^{}} [/tex]
[tex]\underline{\bf Answer:—}[/tex]
[tex]\boxed{ \bf \: a = \dfrac{g}{ - d^2 + {4}^{} } }[/tex]
Answer:
[tex]\boxed{\boxed{\sf a=\cfrac{G}{4-d^2} }}[/tex]
Step-by-step explanation:
[tex]\sf G=a(4-d^2)[/tex]
Use the Distributive Property to multiply a by (4-d^2):
[tex]\sf G=4a-ad^2[/tex]
Now, we'll swap sides so that all variable terms are on the left hand side.
[tex]\sf 4a-ad^2=G[/tex]
Combine like terms:
[tex]\sf (4-d^2)\:a =G[/tex]
Divide both sides by 4-d^2:
[tex]\sf \cfrac{(4-d^2)a}{4-d^2} =\cfrac{G}{4-d^2}[/tex]
Dividing by 4-d^2 undoes the multiplication by 4-d^2.
[tex]\sf a=\cfrac{G}{4-d^2}[/tex]
_______________________________________
Which example illustrates the associative property of addition for polynomials? [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = (2x2 + 5x) + [(4x2 – 4x) + 5x3] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(4x2 – 4x) + (2x2 + 5x)] + 5x3 (2x2 + 5x) + [(4x2 – 4x) + 5x3] = (2x2 + 5x) + [5x3 + (4x2 – 4x)] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(5x + 2x2) + (–4x + 4x2)] + 5x3
Answer:
A
Step-by-step explanation:
Answer: first one
Step-by-step explanation:
omm it’s A
Do both of them for 50 points
Answer:
1) 7/12, 2) 7/24
Step-by-step explanation:
Just plug in the values of c and d.
1) given: c = -1 1/4, d = -1
1/3 * (-1 1/4) - (-1)^3 = -5/12 + 12/12 = 7/12
(-1^3 is -1 (there's a positive in front as well so the negatives cancel out and it's just 1) and then convert everything to a common denominator (which is 12). 1/3 times -1 1/4 becomes -5/12 when you multiple straight across).
2) given: c = 4 1/4, d = 1 1/2
1/3 * (4 1/4 - (1 1/2)^3) = 1/3 * (17/4 - 27/8) = 1/3 * (34/8 - 27/8) = 1/3 * 7/8 = 7/24
(use pemdas/order of operations and solve the exponent first, then the parentheses. 1 1/2^3 is 27/8, and 4 1/4 is 34/8. when you subtract you get 7/8, then you can multiply straight across with 1/3 and you get 7/24.)
The price of a refrigerator is 2,199.99 for an 18 month loan. If a $300 down payment has been made, what is the monthly payment?
$122.22
$131.92
$105.55
$105.56
Answer:
This is verry easy! Is 105.56,do u need expabation?
A sandwich costs $4.25 and a fruit drink costs $1.85. How much change will you get from a $10 bill?
Follow: Maddie Edits
Answer:
3.90
Step-by-step explanation:
4.25
+1.85=6.10
10-6.10=3.9
======================================================
Work Shown:
4.25+1.85 = 6.10
It costs $6.10 to get the sandwich and drink.
If the customer pays with a $10 bill, then they get 10.00 - 6.10 = 3.90 dollars in change.
One way to represent $3.90 is to have:
3 dollar bills = 3 dollars3 quarters = 3*25 = 75 cents1 dime = 10 cents1 nickel = 5 centsThe coins add up in value to 75+10+5 = 90 cents.
Or another option is to have 9 dimes and no other coins. Or perhaps you could have nothing but nickels and you'd need 18 nickels. There are a few ways to determine what coins to use.
An artist paints a mural containing different-sized triangles. The area of each triangle is
given by the function A(x) = 1/2x(x – 3), where x represents the base length of the
triangle, in inches.
What is the area of a triangle with a base length of 16 inches, represented by A(16), in
square inches?
Answer:
104
Step-by-step explanation:
A(16)=1/2(16)(16-3)
A=8(13)
Area is 104 inches squared
y= -4x - 7
Please help
Answer:
- 4x-7: m=-4
Axis interception points of - 4x - 7 intercepts: (-7/4, 0), Y intercepts: (0, - 7)
First to answer correctly will get brainiest.
How to get a number 100 by using four sevens (7’s) and a one (1)?
Answer:
read step-by-step explanation
Step-by-step explanation:
it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100
Samantha is about to buy her first new vehicle. She knows the model that she wants but all of the vehicles
available at the dealer's showroom have accessories, like fancy wheel hubs, that she doesn't need or want.
Which of the following is likely to be true?
Answer:
Samantha wants a simple, starter car, or the extra accessories have a higher price than the one's without it.
Find the quotient.
32 ÷ 0.08
Answer:
The quotient of the equation is 400
Answer:
hi
Step-by-step explanation:
the correct answer is 400
Write the expression:
the sum of a number and it's opposite
Answer:
0
Step-by-step explanation:
-5 5
<-+-+-+-+-+-+l-+-+-+-+-+->
l 0 l
<-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+->
-8 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 6 7 8
graph l. (l points down). Thanks!
Answer:
the sum of a number and it's opposite= x - (x)
Step-by-step explanation:
The opposite number of 2 would be -2. The opposite number of 4 would be -4 and vice versa.
Because the oppposite number is just a number that is the opposite operation of something, finding the sum of a number and it's opposite will always make the sum 0.
Trinity earns 8 dollars working at a local supermarket and 6 dollars per hour babysitting
Answer: so 14 dollars in total
Step-by-step explanation:
Answer: Based on the current non-complete question, the answer Trinity earned $14.
Step-by-step explanation: 8 + 6 = 14.
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = z2 to the
number of z-intercepts in the graph of g(x) = -22 – 5. Be sure to include the transformations that
occurred between the parent function f(x) and its image g(x).
Answer:
There is only one x-intercept for f(x) and g(x), f(x) having a minimum value of zero and g(x) having a maximum value of zero. f(x)=0 when x=0, g(x)=0 when x=4.
g(x) is f(x) reflected about the about the x-axis and shifted to the right by 4 units.
What is the measure of
Answer:
Step-by-step explanation:
As BA = BC, this is an isosceles triangle and the angles adjacent the equal length legs are also identical.
∠C = ∠A = 56°
B = 180 - 2(56) = 68°
Answer:
56°
Step-by-step explanation:
It is because Angle A = Angle C,since triangle ABC is isosceles triangle are equal
I need help solving please
Answer:
B.
Step-by-step explanation:
Range is all the set y values.
Answer:
See image
Step-by-step explanation:
The range is all of the y-values. Look at the points on the graph, and make a list of all the y's That will be the range.
Help help math pelsss please please
Answer:
162 the answer i think bye have fun
Step-by-step explanation:
How many solutions does the system of equation have?
2x + 3y = 9 and y = 2/3x - 2
A.
One solution
B.
Two solutions
C.
Infinitely many solutions
D.
No solutions
Answer:
A. One solution
Step-by-step explanation:
y = 2/3x - 2 has slope of 2/3
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3 has slope of -2/3
lines with different slopes have only ONE intersection
The sum of three consecutive terms of an arithmetic sequence is 27, and the sum of their squares is 293. What is the absolute difference between the greatest and the least of these three numbers in the arithmetic sequence?
The answer is 10 but I don’t know how to get it
The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.
The sequence is an arithmetic sequence. Therefore,
d = common difference
let
a = centre term
Therefore, the 3 consecutive term will be as follows
a - d, a, a + d
a - d + a + a + d = 27
3a = 27
a = 27 / 3
a = 9
Therefore,
(a-d)² + (a)² + (a + d)² = 293
(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293
(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293
243 + 2d² = 293
2d² = 50
d² = 50 / 2
d = √25
d = 5
common difference = 5
Therefore, the 3 numbers are as follows
9 - 5 , 9, 9 + 5 = 4, 9, 14
The difference between the greatest and the least of these 3 numbers are as follows:
14 - 4 = 10
learn more on Arithmetic progression: https://brainly.com/question/25749583?referrer=searchResults
Here is the list of numbers.
5
11
16
24
29
From the list, write down a multiple of 3.
Plz write down the answer.
Answer:
From the list the multiple of 3 is 24
I don’t understand this question can you please help me ?.
Answer:
Girl: YES = 12 ; NO = 38
Boy: YES = 29 ; NO = 21
Total: YES = 41 ; NO = 59
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
please help!! easy but i don't understand <3
in essence it's just asking on getting the equation of that line in more or less slope-intercept form, hmmm well, it's a line, so all we need is two points to get it, hmmm let's see let's use the starting point and terminal point, so we know it goes through the origin, (0,0) and also goes through (1, 0.7), let's change 0.7 to a fraction, so its 7/10, ok, let's use those two points from it.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{\frac{7}{10}}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{7}{10}}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{~~ \frac{7}{10}~~}{1}\implies \cfrac{7}{10}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{7}{10}}(x-\stackrel{x_1}{0})\implies y = \cfrac{7}{10}x[/tex]
Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values are integers. What's the domain and range for this graph ?
The domain of the graph is [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].
The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.For the graph, the domain will be the values of the graph along the x-axis.
Domain = [tex]-8<x\leq 9.5[/tex] (Note that -8 is not included)For the range, the interval is given as: [tex]-4\leq x<4[/tex]. Note that the value of 4 is not included since it is opened.Learn more on domain and range here: https://brainly.com/question/1942755
If your money doubles once every 30 minutes and your start with $12, how much money will you have in 1.5 day?
Answer:
$1728
Step-by-step explanation:
1.5 days is 36 hrs
36 hrs is 2160 mins
2160/30 = 72 (this is the amount of times our money will be doubled)
72*2 = 144
$12*144 = $1728
Charles wants to buy an anime book that is on sale for $14.99. Her sister kyra wants to buy a novel book for $17.99. Both of them has to pay a 7% tax. Kyra has a coupon for 15% discount. Whats the difference between the amount that each siblings has to pay?
Answer:
The difference between their total amounts is .34 cents
also it didnt look like i was supposed to count a discount for charles so i didnt :)
Step-by-step explanation:
Charles14.99 times .07 = 1.04
14.99 + 1.04 = 16.03
Kyra17.99 times .15 = 2.69
17.99 -2.69 = 15.30
15.30 times .7 = 1.07
15.30 + 1.07 = 16.37
16.37 - 16.03 = .34
PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20
Answer:
x³ - 8x² - 20x
Step-by-step explanation:
Zeroes: 10, 0, -2
Factors are: (x - 10), (x - 0), (x + 2)
Multiply all factors to get expression:
(x - 10)x(x + 2) = x(x - 10)(x + 2)
= x(x² - 10x + 2x - 20)
= x(x² - 8x - 20)
= x³ - 8x² - 20x
Help help help help help help help math math
Answer:
Step-by-step explanation:
5x + 10 + 10x + 5 = 180
15x + 15 = 180
15x = 165
x = 11
Find ADC triangle's perimeter, if ABE triangle's perimeter is 10 and AE:AC=2:3
Answer:
give the dimensions of the figure on the paper
