Answer: Choice D
The graph will be discrete because there is no such thing as a partial person to sign up, and the booth is set up once each day for sign ups.
=========================================================
Explanation:
Let's start with the independent variable d. This acts as the variable x. It's the input. The value of d only takes on positive whole numbers (eg: d = 1, d = 2, d = 3, etc). We cannot have something like d = 2.718
So this bit of evidence shows that our function is discrete. Discrete input values (d) plug into the function to produce corresponding discrete output values (m).
Furthermore, we know that m is discrete because the number of people cannot be a fractional or decimal number. We can't have half a person for instance.
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A quick way to see if a set is discrete or continuous is to ask the question: "is it possible to apply the midpoint formula for ANY two values, and have the output make sense?"
So a set like {1,2,3,4,5,...} is discrete because the midpoint of 2 and 3 is 2.5, but that value is not in the set mentioned.
In other words, discrete sets have "gaps" so to speak, while continuous ones do not.
---------------
Another useful property is that let's say that a < x < b, and x is drawn from the domain set. This reduced set will be finite if we're dealing with discrete data. Eg: The set {1,2,3,4,5,...} has the subset {2,3,4} which is finite and discrete.
In contrast, the subset of real numbers x such that [tex]2 \le x \le 4[/tex] is continuous and this subset is infinitely large (has infinitely many members) because we could have things like 2.718 or 3.14 etc
What is the equation, In factored form, of the quadratic function shown in the graph?
Given:
The graph of a quadratic function.
To find:
The equation of the quadratic function in factored form.
Solution:
From the given graph it is clear that the graph of the function intersect the x-axis at point (-3,0) and (2,0).
Since -3 and 2 are the zeros of the function, therefore (x+3) and (x-2) are the factors of the required quadratic function.
Now, the function can be written as:
[tex]f(x)=a(x+3)(x-2)[/tex] ...(i)
The graph of the function intersect the y-axis at (0,-6). Substituting [tex]x=0,f(x)=-6[/tex] in (i), we get
[tex]-6=a(0+3)(0-2)[/tex]
[tex]-6=a(3)(-2)[/tex]
[tex]-6=-6a[/tex]
[tex]\dfrac{-6}{-6}=a[/tex]
[tex]1=a[/tex]
Substituting [tex]a=1[/tex] in (i), we get
[tex]f(x)=1(x+3)(x-2)[/tex]
Therefore, the required function is [tex]f(x)=1(x+3)(x-2)[/tex].
EH is a diameter of D. The measure of ef is (10x+ 8) and the measure of gh is (11x). Determine the values
Answer:
x = 5
arcEF = 58degrees
arcGH = 55degrees
Step-by-step explanation:
Find the diagram attached
The sum of angle on the straight line EH is 180degrees
Hence arcEF+ arcFG + arcGH = 180
10x+8 + 67 + 11x = 180
21x + 75 = 180
21x = 180 - 75
21x = 105
x = 105/21
x = 5
Since EF = 10x+8
arcEF = 10(5) + 8
arcEF = 50+8
arcEF = 58degrees
Also, arcGH = 11x
arcGH = 11(5)
arcGH = 55degrees
Which of the following equations represents a line that is parallel to y = -4x-1
and passes through the point, (2, 2)?
O A. y = -4x+10
O B. y = 1/4x+2
O C. y = -4x + 4
O D. y = -4x - 6
Answer:
A
Step-by-step explanation:
Parallel lines have the same gradient
For line y=-4x-1, the gradient is -4 and so that of this new line will also be -4
Now,
y-y1=m(x-x1)
y-2=-4(x-2)
y-2=-4x+8
y=-4x+8+2
y=-4x+10
• Work out
3 1/2 X 1 3/5
Give
your answer as a mixed number in its simplest form
Answer:
5 3/5
Step-by-step explanation:
3 1/2 * 1 3/5
Change to improper fractions
(2*3+1)/2 * (5*1+3)/5
7/2 * 8/5
56/10
Change back to a mixed number
50/10 +6/10
5 +3/5
5 3/5
I need the answer ASAP anyone could help me please
Answer:
Is it the answer is C?
2+4+3+5+1=15
the solution for 12x^2-13x+3=0
Answer: X= 3/4
Simplified: 1/3
2. Resolve into factors.
a) 8x3 + y3
Answer:
(2x + y)(4x² - 2xy + y²)
Step-by-step explanation:
8x³ + y³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²) , then
8x³ + y³
= (2x)³ + y³
= (2x + y)((2x)² - 2xy + y²) , that is
(2x + y)(4x² - 2xy + y²)
(iii) Show it in a Venn diagram. In a survey of 120 students, 60 drink milk, 50 drink curd and 20 students drink milk as well curd then, Draw a Venn diagram to illustrate the above information. (ii) Find the number of students who drink neither of them.
Answer:
Step-by-step explanation:
As you can see in the venn diagram that is attached below, The individuals that drink milk are in green, those that drink curd are in yellow, and those that drink both are in light blue. Since the sum of those that drink milk with those that drink curd is 110 and a total of 120 students were surveryed. Then this means that 10 of the students neither drink milk nor curd. These students are represented outside of the venn diagram but within the box of surveyed students.
Find the value of the constant a for which the polynomial x^3 + ax^2 -1 will have -1 as a root. (A root is a value of x such that the polynomial is equal to zero.)
Answer:
[tex]{ \bf{f(x) = {x}^{3} + {ax}^{2} - 1 }} \\ { \tt{f( - 1) : {( - 1)}^{3} + a {( - 1)}^{2} - 1 = 0}} \\ { \tt{f( - 1) : a - 2 = 0}} \\ a = 2[/tex]
The polynomial function [tex]$x^3 + ax^2 -1[/tex] will have -1 as a root at the value of
a = 2.
What is a polynomial function?A polynomial function exists as a function that applies only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Given: A root exists at a value of x such that the polynomial exists equivalent to zero.
Let, the polynomial equation be [tex]$x^3 + ax^2 -1[/tex]
then [tex]$\mathbf{f}(\mathbf{x})=\mathbf{x}^{3}+a \mathbf{x}^{2}-\mathbf{1}$[/tex]
Put, x = -1, then we get
[tex]$\mathbf{f}(-1)=(-1)^{3}+\mathrm{a}(-1)^{2}-1=0$[/tex]
f(-1) = a - 2 = 0
a = 2
Therefore, the value of a = 2.
To learn more about polynomial function
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In a circle, chords ST and RA intersect at Y such that SY is perpendicular to RY. The value of mSA + mRT is: a. 90º b. 180º c. 225º d. Undefined
Answer:
a. 90º
Explanation:
The chords ST and RA intesect at Y, so that SY is now perpendicular to RY and they form an angle 90 degrees at that point. However angles mSA and mRT are both at the circumference of the circle(a chord is a line from point of a circle's circumference to the other) and are both 90 degrees because angle at the circumference is half of angle at the centre in same arc.
Nicole invested $1600 in an account that pays 4.75% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Nicole would have in the account 18 years after her initial investment. Round to the nearest tenth (if necessary ).
Answer:
2968
Step-by-step explanation:
I nI need help on 110 times 550
Answer:
60500
Step-by-step explanation:
110 x 550
= 60500
Answer:
60500
Step-by-step explanation:
caculator lol 110×550
The sides of the triangular base of prism are 10 cm 8 cm and 6cm respectively and it is 15 cm long .Find the total suface area of the prism.
Answer:
408 cm²
Step-by-step explanation:
the total SA = (2×½×6×8) + (10+8+6)×15
= 48 + 360
= 408 cm²
The total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².
What is a triangular base?In order to create the triangle base, the three triangular sides slant upward. A pyramid with a triangular base is also known as a tetrahedron since it is made up of four triangles.
The shape of a pyramid's base is often used to describe it. A hexagonal pyramid has a base that is a hexagon, as does a triangular pyramid, for example. Pyramids with triangular bases are called triangular pyramids.
A triangle's area is equal to half the sum of its base and height, according to the formula for triangular bases. Whether it be a scalene triangle, an isosceles triangle, or an equilateral triangle, this formula can be used to determine their properties.
The total surface area of the prism calculations are,
b = 6 cm, h = 8 cm, l = 10 cm, and L = 15 cm
[tex]Total\ Surface\ Area = (2\times \frac{1}{2} \times b \times h) + (l+h+b) \times \\ L=(2\times \frac{1}{2} \times 6 \times 8) + (10+8+6) \times 15\\= 48 + 360\\= 408 cm^2[/tex]
Therefore, total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².
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resuelve:
25+40-(6-4)+(8-9)
Answer:
la respuesta sería 62, escribo esto por que me está obligando la aplicación :v
Can someone help with questions 9-16
Are the two triangles similar. If so, State how
Answer:
Yes by AAA
Step-by-step explanation:
Angle A is the same for both triangles. Angle D is congruent to Angle A since BC and DE are parallel lines and same with angle E. So by AAA the triangles are similar
Can someone help me with this math homework please!
The distance traveled depends on the amount of time Marlene rides her bike
The function f(t) = 16t represents the scenario
Answer:
options (2), (3) and (5)
Step-by-step explanation:
2.
the distance traveled depends upon the amount of time she rides her bike.
as she travels 16 miles in 1 hr. she'll ride 32 miles in 2 hrs. so all values of distance traveled by her depends upon the time she takes.
3.
yes the initial is 16 miles per hour as the output of 1hr will be 16 and that's what the initial value is 16 miles for one hour. or 16 miles per hour.
5.
f(t) = 16t represents the scenario
where f(t) will be the output of the function that is d, distance when the output is t that is time.
Express 200 g as a percentage of 4 kg
Answer:
5%
Step-by-step explanation:
Both should be in same measurement. so convert 4 kg to gram
1 Kg = 1000 g
4 kg = 4 * 1000 = 4000 g
[tex]\frac{200}{4000}*100=\frac{2}{40}*100\\\\=\frac{1}{20}*100 = 1 * 5\\[/tex]
= 5%
Please help!!-- What is the measure of arc AT in the circle O below?
Answer:
97
Step-by-step explanation:
Arc AT = angle at the center 97°
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, What will her account balance be then?\
answer pls
Answer: $15
Step-by-step explanation:
-$50 + $75 = $15
Q1. Interpreting Direct Proportion
In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the Following:
(2, 9) (5, 22.5) (12, ?) (?, 90) (?, ?)
What is the constant of proportionality k when y=kx: ?
Find the measure of the indicated angle
Answer:
Step-by-step explanation:
This is an isosceles triangle because 2 of the sides are the same length (marked with single slashed through them). The Isosceles Triangle Theorem tells that if 2 sides are congruent to each other, then the angles opposite those sides are congruent to each other as well. That means that the bottom left angle measures 68. According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180, so:
x = 180 - 68 - 68 so
x = 44
If a class has a total of 3400 points I can earn how many points would I need to get in total to get at least a 90?
Answer:
are you asking how many points are needed to get 90% in
a class that has a total of 3400 points ?
id so that is : 3060
Step-by-step explanation:
What is the reflection of (-50, -30) across the y-axis?
Answer:
(50,-30)
Step-by-step explanation:
Reflecting a point across the y axis is just like flipping a page on a book. The x coordinate is flipped and the y coordinate stays the same.
A(3,4) and B(-3,2) are pointd on a coordinate plane. find the coordinate of a points C on the x axis such that AC=BC
Answer:
Step-by-step explanation:
Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:
and
Now for the slope of AB:
and
So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):
and filling in:
y - 3 = -3(x - 0) and
y - 3 = -3x + 0 and
y - 3 = -3x so
y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):
0 = -3x + 3 and
-3 = -3x so
x = 1
The coordinate on the x-axis such that AC = BC is (1, 0)
If anybody can help me with questions 5-8 that will be awesome!!! THANK YOU SO MUCHHHHG
Answer:
5. B
6. B
7. D
8. D
< means a filled in circle.
Hope this helps!
A population that is neither growing nor declining will have a TFR of ________. A population that is neither growing nor declining will have a TFR of ________. 2.1 1.2 less than 1.0 zero greater than 2.1
A population that is neither growing nor declining will have a TFR (Total Fertility Rate) of 2.1.
A population that is neither growing nor declining will have a Total Fertility Rate (TFR) of 2.1. The TFR is the average number of children that a woman of reproductive age will have in her lifetime.
A TFR of 2.1 is considered to be the replacement level for a population, meaning that the population will remain stable over time as births are balanced by deaths.
A TFR less than 1.0 would indicate a population in decline, while a TFR greater than 2.1 would indicate a population in growth.
Therefore, a population that is neither growing nor declining will have a TFR (Total Fertility Rate) of 2.1.
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help I need homework pls help mee
Answer:
4a 2/7.
I could solve just this
Answer:
For #3b, shade in 1 1/2 bars
For 4a, i think it is 3/7
4b is prob 43%
5 i think is abt 0.2 miles
For each square there are 3 circles. Which model shows this relationship?
ОО
Answer:
The one in the middle 100% correct
Answer:
second option
Step-by-step explanation:
Ratio of square to circle = 1 : 3
In the second option:
Square = 2 & circles = 6
Ratio = 2 : 6 and after simplifying, Ratio = 1 : 3
Fiona rolls a fair dice 144 times.
How many times would Fiona expect to roll an even number?
There are 3 even numbers out of 6 total numbers.
Rolling an even number would be 3/6 = 1/2
She would expect half the rolls should be even.
144/2 = 72
The answer is 72 times.