Which graph shows the system StartLayout Enlarged left-brace 1st row x squared + y = 2 2nd row x squared + y squared = 9 EndLayout?
Answers
Answer: Hope this helps <3
Step-by-step explanation:
Graphs can be used to represent functions.
See attachment for the graphs of [tex]\mathbf{x^2 + y = 2}[/tex] and [tex]\mathbf{x^2 + y^2 = 9}[/tex]
The functions are given as:
[tex]\mathbf{x^2 + y = 2}[/tex]
[tex]\mathbf{x^2 + y^2 = 9}[/tex]
Rewrite [tex]\mathbf{x^2 + y^2 = 9}[/tex] as:
[tex]\mathbf{x^2 + y^2 = 3^2}[/tex]
The above equation represents a circle of radius 3, and that has its center as the origin.
Similarly, we have:
[tex]\mathbf{x^2 + y = 2}[/tex]
Make y the subject
[tex]\mathbf{y = 2 -x^2}[/tex]
Rewrite as:
[tex]\mathbf{y = -x^2 + 2 }[/tex]
The above is a square function, that is reflected over the y-axis, and then shifted up by 2 units.
See attachment for the graphs of [tex]\mathbf{x^2 + y = 2}[/tex] and [tex]\mathbf{x^2 + y^2 = 9}[/tex]
Read more about graphs and functions at:
https://brainly.com/question/18806107
Related Questions
0.3y+ z y 0, point, 3, y, plus, start fraction, y, divided by, z, end fraction when y=10y=10y, equals, 10 and z=5z=5z, equals, 5.
Answers
Answer:
5
Step-by-step explanation:
Substitute the given values and do the arithmetic.
[tex]0.3y+\dfrac{y}{z}=0.3\cdot 10+\dfrac{10}{5}=3+2=\boxed{5}[/tex]
Given the sequence rn defined recursively below, find r3. r1rn=2=−rn−1+n−2
Answers
Answer:
[tex]r_3=3[/tex]
Step-by-step explanation:
Given:
[tex]r_1=2\\r_n=-r_{n-1}+n-2[/tex]
We want to find the value of [tex]r_3[/tex] .
[tex]\\r_2=-r_{2-1}+2-2\\r_2=-r_1\\r_2=-2\\\\r_3=-r_{3-1}+3-2\\r_3=-r_{2}+1\\r_3=-(-2)+1\\r_3=2+1\\r_3=3[/tex]
Two ships leave a port at the same time.
Ship A sails 12 knots on a bearing of 035°
Ship B sails 16 knots on a bearing of 270°
Calculate the distance between the ships after 2 hours
(1 knot = 1 nautical mile per hour)
Answers
Answer: 49.8 nautical miles
Step-by-step explanation:
Angle between routes = 125⁰
after 2 hours :-
d² = 24² + 32² - 2 x 24 x 32 cos 125⁰
d = 49•8 nautical miles
Suppose that 3 is a factor of a, a is a divisor of 12, and a is positive. What is the number of possible values of a?
Answers
Explanation:
Since a is a divisor of 12
Then let’s see what are the divisor for 12
12= 6 x 2
12= 3 x 4
And we know that 3 is a factor of a
So if a was 3 then 3/3 is exactly 1
And if a was 6 then 6/3 is exactly 2 with no remainder
And 3 and 6 are also the divisor of 12
12/6=2
12/3=4
So a should be 3 and 6
Answer:
3
Step-by-step explanation:
12 is divisible by: 1, 2, 3, 4, 6, 12
Because 3 is a factor of a, that means 3 multiplied by another number equals a. Additionally, a is a divisor of 12, meaning a multiplied by another number equals 12.
Out of the numbers, 12 is divisible by, only 3 are also divisible by 3: 3, 6, 12 This gives three possible values of a.
Determine f(-1) (3). Use the following table of values
Answers
Answer:
-5
Step-by-step explanation:
The value of x that gives f(x) = 3 is -5.
[tex]f^{-1}(3)=-5[/tex]
The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean 1261 and a standard deviation of 118. (a) Determine the 30th percentile for the number of chocolate chips in a bag. (b) Determine the number of chocolate chips in a bag that make up the middle 98% of bags. (c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?
Answers
Answer:
(A) 1199.168
(B) 1503.372
(C) 159.17728
Step-by-step explanation:
(A) To determine the 30th percentile for the number of chocolate chips in the bag, we find the z-score for the 30th percentile.
Found using a z-table or z-calculator, the z-score for the 30th percentile is -0.524
The formula for finding X (the number of items in a given percentile) is:
X = M + Z(S.D.)
Where M is the mean, Z is the specific z-score of the sought percentile and S.D. is the standard deviation.
So for the 30th percentile,
X = 1261 + (-0.524)(118)
X = 1261 - 61.832 = 1199.168
(B) The number of chocolate chips that make up the middle 98% of chips in the bag is
X = 1261 + (2.054)(118)
X = 1261 + 242.372 = 1503.372
(C) For normal distributions, Interquartile range is Q3 - Q1, that is; 3rd quartile minus 1st quartile.
This is within 1.34896 standard deviations of the mean.
IQR = (1.34896)(118)
IQR = 159.17728
Solve this correctly for brainliest !!!!!! 3(7) + 2 • |7 - 8| - 12
Answers
Answer:
3(7) + 2* |7 - 8| - 12 = 11
Step-by-step explanation:
3(7) + 2* |7 - 8| - 12
21 + 2* |-1| - 12
21 + 2* 1 - 12
21 + 2 - 12
23 - 12 = 11
Hope this helps! :)
1/9 − y2 when factored is:
Answers
Answer:
Step-by-step explanation:
hello
[tex]\dfrac{1}{9}-y^2=(\dfrac{1}{3})^2-y^2=(\dfrac{1}{3}-y)(\dfrac{1}{3}+y)=\dfrac{(1-3y)(1+3y)}{9}[/tex]
hope this helps
4) A large number of people were polled and asked which of four different animals were their
favorite. 13% said Penguin, 21% said Iguana, 22% said Parrot, and 44% said Turtle. Suppose you
decide to carry out a simulation given these percentages. You decide to select two digits at a
time. Which would be a proper assignment of digits for these teams?
a) 01-13 = Penguin, 01-21 = Iguana, 01-22 = Parrot, 01-44 = Turtle
b) 00-13 = Penguin, 14-34 = Iguana, 35-56 = Parrot, 57-99 = Turtle
c) 01-13 = Penguin, 14-35 = Iguana, 36-58 = Parrot, 59-99 & 00 = Turtle
d) 01-13 = Penguin, 14-34 = Iguana, 35-56 = Parrot, 57-99 & 00 = Turtle
e) None of these
Answers
Answer:
d) 01-13 = Penguin, 14-34 = Iguana, 35-56 = Parrot, 57-99 & 00 = Turtle
Step-by-step explanation:
13 − 01 + 1 = 13
34 − 14 + 1 = 21
56 − 35 + 1 = 22
99 − 57 + 1 + 1 = 44
If a polynomial function f(x) has roots 3+root5 and -6, what must be a factor of f(x)? (X+(3-root5) (x-(3-root5)) (x+(5+root3)) (x-(5-root3))
Answers
Answer:
[tex](x-(3+\sqrt5))[/tex] or [tex](x-3-\sqrt5)[/tex] is a factor of the given polynomial.
Step-by-step explanation:
Let us learn the concept with an example first.
Let the polynomial be a quadratic function [tex]g(x)[/tex].
[tex]g(x) = x^{2} -5x+6[/tex]
The roots of [tex]g(x)[/tex] are 2 and 3.
Putting [tex]x= 2\ in \ g(x)[/tex]
[tex]2^2-5\times 2+6 = 4-10+6 =0[/tex]
Putting [tex]x= 3\ in \ g(x)[/tex]
[tex]3^2-5\times 3+6 = 9-15+6 =0[/tex]
Putting x = 2 or x = 3, g(x) = 0 [tex]\therefore[/tex] The roots of equation g(x) are 2 and 3.
Now, let us try to factorize g(x):
[tex]x^{2} -2x-3x+6\\\Rightarrow x(x -2)-3(x-2)\\\Rightarrow (x-3)(x-2)[/tex]
so, the equation can be written as:
[tex]g(x) = x^{2} -5x+6=(x-3)(x-2)[/tex] where 3 and 2 are the roots of equation.
The factors are (x-3) and (x-2).
[tex]\therefore[/tex] for the polynomial f(x) which has roots [tex]3+\sqrt5\ and\ -6[/tex] will have a factor:
[tex](x-(3+\sqrt5))[/tex] or [tex](x-3-\sqrt5)[/tex]
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 9 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
Answers
Answer:
52.78% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X greater than x is given by the following formula.
[tex]P(X > x) = \frac{b-x}{b-a}[/tex]
Uniformly distributed between 0 and 9 minutes.
This means that [tex]a = 0, b = 9[/tex]
Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
[tex]P(X > 4.25) = \frac{9 - 4.25}{9 - 0} = 0.5278[/tex]
52.78% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
A forest ranger spots a fire from the top of a lookout tower. the tower is 160 meters tall and the angle of depression to the fire is 12 degrees. how far is the fire from the base of the tower? round to the nearest meter.
Answers
Answer:
The fire is 752.741 meters far from the base of tower
Step-by-step explanation:
Tower=160 meters tall
Angle of Depression=12°
tan(12°)=[tex]\frac{perpendicular(tower)}{base(distance from fire)}[/tex]
tan(12°)=[tex]\frac{160 meters}{base(distance from fire)}[/tex]
Distance from fire= [tex]\frac{160 meters}{tan12}[/tex]
Distance= 752.741 meters
Find the distance from R to S on the graph. Round to the nearest tenth.
Answers
Answer:
7.2
Step-by-step explanation
plug the values in in the distance formula
the points are -3,3 and 1, -3
sqrt((-3-1)^2+(3-(-3))^2)
sqrt(16)+(36)
sqrt(52)
approximately 7.2
What is if we divide 8 by 4 multiply by 6 and add 2 then subtract 2 what is the result?
Answers
Answer:
its its 12.
Step-by-step explanation:
=8÷4×6+2-2
=2×6+2-2
=12+2-2
=14-2
=12 is answer..
Answer:
12
Step-by-step explanation:
8÷4×6+2-2
=2×6+2-2
=12+2-2
14-2
=12
Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations.
Coefficients Standard Error
Constant 12.924 4.425
x1 -3.682 2.630
x2 45.216 12.560
Analysis of Variance
Source of Degrees of Sum of Mean
Variation Freedom Squares Square F
Regression 4853 2426.5
Error 485.3
We want to test whether the variable x1 is significant. The critical value obtained from ttable at the 1% level is:_______.
1. ±2.650.
2. ±2.921.
3. ± 2.977.
4. ± 3.012.
Answers
Answer:
4. ± 3.012
Step-by-step explanation:
Hello!
Assuming that for both variables X₁ and X₂ n₁= n₂ = 16
You need to test at 1% if the variable is significant, this means, if the slope for X₁ is different from zero (β₁≠0) using the t-statistic and the critical value approach.
The hypotheses are:
H₀: β₁= 0
H₁: β₁≠ 0
α: 0.01
[tex]t= \frac{b_1-\beta_1}{Sb_1} ~t_{n_1-3}[/tex]
The degrees of freedom "n₁-3" are determined by the number of parameters that you estimate for the multiple regression, in this case there are three "β₁" "β₂" and "δ²e"
The rejection region for this test is two-tailed, the critical values are:
±[tex]t_{n-3;1-\alpha /2}= t_{13;0.995}= 3.012[/tex]
I hope this helps!
A is any nonnegative real number and b is a square root of that number. Is a a function of b, b a function of a, both, or neither?
Answers
Answer:
B is a function of A
Step-by-step explanation:
If you do something to another thing, it is a function of that.
If two chords in a circle are congruent, then they are
_____
Answers
Answer:
A
Step-by-step explanation:
Two congruent chords in a circle have the same distance from the center.
If two chords in a circle are congruent, then they are the same distance from the center of the circle .
What are the properties of equal chords of a circle?The properties of Equal Chords of a Circle are:
In a circle equal-chords are equidistant from the center.Equal-chords of congruent circles are equidistant from the corresponding centers.In a circle equal chords subtend equal angles at the center.According to the question
If two chords in a circle are congruent, then they are
Now,
By properties of Equal Chords of a Circle
The equal chords will be equal distance from the center of the circle .
Hence, If two chords in a circle are congruent, then they are the same distance from the center of the circle .
To know more about properties of equal chords of a circle here:
https://brainly.com/question/14539317
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The radius of a sphere is 3 inches. Which represents the volume of the sphere? 12π cubic inches 36π cubic inches 64π cubic inches 81π cubic inches
Answers
Answer:
36pi
Step-by-step explanation:
Answer:
36pi
Step-by-step explanation:
i got it right on my test
Please help ASAP thanks in advance
Answers
Answer:
P(0,4)
Q(2,0)
Step-by-step explanation:
We khow that both P and Q are lying in the line : 4x+2y=8
4x+2y=82y = -4x+8y= -2x+4 P(0,y) ⇒y= -2*0+4=4 ⇒ P(0,4) Q(x,0)⇒ 0=-2*x+4 ⇒ x= 2⇒ Q(2,0)There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting at least 1 red?
Answers
Answer:
[tex]\dfrac{65}{81}[/tex] or 80.25%
Step-by-step explanation:
Number of blue Marbles = 4
Number of Red Marbles = 5
Total Number of marbles =4+5=9
[tex]P(B)=\dfrac49\\\\P(R)=\dfrac59[/tex]
In the experiment, two marbles are chosen one after the other with replacement.
The possible outcomes are: BB, BR, RB and RR
The probability of getting at least 1 red
=P(BR or RB or RR)
=P(BR)+P(RB)+P(RR)
[tex]=\left(\dfrac49\times\dfrac59\right) + \left(\dfrac59\times\dfrac49\right)+\left(\dfrac59\times\dfrac59\right)\\\\=\dfrac{20}{81}+\dfrac{20}{81}+\dfrac{25}{81}\\\\=\dfrac{65}{81}[/tex]
Expressed as a percentage, we have:
[tex]\dfrac{65}{81}\times100=80.25\%[/tex]
The probability of getting at least 1 red is 80.25%.
20 pts! If Quadrilateral J K L M is congruent to quadrilateral C B D A, which pair of sides must be congruent? Segment J K and Segment A B Segment J K and Segment C B Segment J M and Segment A D Segment J M and Segment B C
Answers
Answer:
segment I'm and segment ad
Answer:
The answer is B
Step-by-step explanation:
ASAP will give brainliest Which of the following formulas would find the surface area of a right cylinder where h is the height, r is the radius, LA is the lateral area, and BA is the base area?
Answers
Answer:
A. BA + 2πrh
C. 2πr² + 2πrh
Step-by-step explanation:
height of cylinder = h
Radius of cylinder = r
=>Lateral area of cylinder = LA (THis is the area of the cylinder excluding the area of its circular bases)
L.A of a cylinder = 2πrh
=>Base area = BA (this is the area of both circular bases of the cylinder)
Area of circle = πr²
Area of the 2 circular bases of the cylinder (BA) = 2(πr²) = 2πr²
=>Surface area of a right cylinder = B.A + L.A
= 2πr² + 2πrh
The formulas that can be used to find surface area of a right cylinder from the given options are:
A. BA + 2πrh (note: BA = 2πr², LA = 2πrh)
C. 2πr² + 2πrh
Find the length of AB. Leave
your answer in terms of 7.
A
20° AB = [ ? ]
27
1B
Enter
Answers
Answer:
AB = 3π
Step-by-step explanation:
See attachment for correct format of question.
Given
From the attachment, we have that
θ = 20°
Radius, r = 27
Required
Find length of AB
AB is an arc and it's length can be calculated using arc length formula.
[tex]Length = \frac{\theta}{360} * 2\pi r[/tex]
Substitute 20 for θ and 27 for r
[tex]Length = \frac{20}{360} * 2\pi *27[/tex]
[tex]Length = \frac{20 * 2\pi * 27}{360}[/tex]
[tex]Length = \frac{1080 \pi}{360}[/tex]
[tex]Length = 3\pi[/tex]
Hence, the length of arc AB is terms of π is 3π
Factor completely 2x⁴y³-12x³y²-8x²y
Answers
find the gradient of the line segment between the points N(-1,2) and M(-6,3)
Answers
Answer:
1/5
Step-by-step explanation:
Gradient is another word for slope. To find the gradient, we have to use a formula.
Which is greater 36÷(4×3) or 54-48-(16÷4
Answers
Step-by-step explanation:
36 ÷ (4 x 3)
36 ÷ 12
= 3
54 - 48 - (16 ÷ 4)
54 - 48 - 4
= 2
So first one is greater
y = 0.8x+ 7.2
20x + 32y = 48
Answers
Step-by-step explanation:
y = 0.8x+ 7.2 ..........(1)
20x + 32y = 48 .........(2)
Substitute (1) in (2)
20x +32*(0.8x+7.2) = 48 expand
20x + 25.6x+230.4 = 48 add
45.6x+230.4 = 48 transpose and simplify
45.6x = 48-230.4 = -182.4
x = -182.4 / 45.6
x = -4
Answer:
x=-4, Y=4
Step-by-step explanation:
20x+32(0.8x+7.2)=48
45.6x =48-230.4
x=-4
substitute x=-4 in y eqn
y=-3.2+7.2
y=4
A client would like a logo printed onto a canvas that is at least 70 inches tall. The original logo is 4.5 inches wide by 3.6 inches tall. Which dimensions will keep the logo in proportion and large enough to meet the client's requirements?
Answers
Answer:
to find the dimension I would get 3.6/4.5=x/70 amd u get 3.6*70=4.5x and u get 252=4.5x and x=56
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the width of logo printed on canvas = x inches
Dimensions are in proportion
[tex]\frac{70}{x}=\frac{3.6}{4.5}\\[/tex]
Cross multiply
70 * 4.5 = x * 3.6
x * 3.6 = 315
[tex]x=\frac{315}{3.6}\\\\=\frac{3150}{36}\\\\x=87.5inches[/tex]
how many are 4 x 4 ?
Answers
4+4=8
4+4=8
8+8= 16
If y = x2 + 2x , find the value of y when x = 3
and
If y = x3 - 3 , find the value of y when x = 2 plsss help me
Answers
Answer:
y=15; y=5
Step-by-step explanation:
y=x2+2x
plug in x as 3:
y=3 2+ 2*3
y=9+6
y=15
Next problem:
y=x3-3
plug in x as 2:
y=2 3-3
y=8-3
y=5