By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex].
How to find a solution of two functions by direct inspection
According to the table, the value of [tex]x[/tex] must be between 3 and 3.5. [tex]x[/tex] is the solution of [tex]f(x) = g(x)[/tex] if and only if [tex]f(x) - g(x) = 0[/tex]. Let suppose that [tex]x = 3.3[/tex], then:
[tex]3.3^{2}+13 = 3\cdot (3.3) + 14[/tex]
[tex]-0.01[/tex]
As we need only two decimals, approximation seems to be reasonable.
By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex]. [tex]\blacksquare[/tex]
RemarkStatement is incomplete and incorrectly formatted, correct form is presented below:
Cora is using successive approximations to estimate a positive solution to [tex]f(x) = g(x)[/tex], where [tex]f(x) = x^{2}+13[/tex] and [tex]g(x) = 3\cdot x + 14[/tex]. The table shows her results for different input values of [tex]x[/tex]:
x f(x) g(x)
0 13 14
1 14 17
2 17 20
3 22 23
4 29 26
3.5 25.25 24.5
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-(23/47)
Which of the following is equivalent to the given number?
ASAP
Given:
The number is:
[tex]-(\dfrac{23}{47})[/tex]
To find:
The number that is equivalent to the given number.
Solution:
In option A,
[tex]-(-\dfrac{23}{47})=\dfrac{23}{47}[/tex] [tex][\because (-)(-)=(+)][/tex]
In option B,
[tex]\dfrac{23}{-47}=-\dfrac{23}{47}[/tex]
In option C,
[tex]\dfrac{-23}{-47}=\dfrac{23}{47}[/tex]
In option D, we have
[tex]\dfrac{23}{47}[/tex]
The numbers in options A, C and D are equivalent to [tex]\dfrac{23}{47}[/tex]. So, options A, C and D are incorrect.
The numbers in options B is equivalent to [tex]-(\dfrac{23}{47})[/tex]. So, option B is correct.
Therefore, the correct option is B.
I need help with this problem
Answer:
y= x+1
y= x-5
There are 0 solutions because the lines will never intersect (which is due to their slopes being the same).
Step-by-step explanation:
Because we don't have any numbers we're supposed to esitmate, but the important thing to realize is that the slopes are identical
so let's say our equations are
x+1
x-5
2.)
There are 0 solutions because the lines will never intersect (because their slopes are the same)
Answer:
see explanation
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
Therefore if the lines are parallel, they never intersect and hence there is no solution.
The lines given appear to be parallel and so there is no solution.
thank you. please answer asap!
Answer:
96 i think
Step-by-step explanation:
I think its 96. just multiply all the sides
solve the equation. which out of the four choices is correct
Kaden will toss two dice. What is the probability of one die landing on a number less
than 3, and the other landing on a number greater
than 5?
A.1/6
B.1/12
C.1/9
D.1/18
Answer: b
Step-by-step explanation:
find the sine of < I
Answer:
Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem
[tex]5^2+\sqrt{21}^2 = c^2[/tex]
25+21=c^2
46=c^2
c=sqrt46
c=6.78
sin(opposite/hypotnuse)
sin(sqrt21/ sqrt46) =.0117
Melinda collects antique glass bottles, she has 6 bottles made of blue glass, this is only 20% of her bottle collection. How many bottles does she have altogether?
please hurry :]
Fernando cleans pools for the summer for $25 an hour plus a supply fee of $15.
Which equation models the cost for having Fernando clean a pool for x hours and how much will a 3-hour cleaning cost?
A
y=(25+15)+x;43
B
y=15x+25;70
C
y=25x+15;90
D
y=(25+15)x;120
Answer:
So, the required option is (B) 15x+25 ; 70
Step-by-step explanation:
The claim that 20% of Americans know their credit score is tested. Suppose that the sample evidence causes us to fail to reject the null hypothesis claim that 20% of Americans know their credit score. State the final conclusion in simple, nontechnical terms.
A. There is sufficient evidence to support the claim that the percentage of Americans who know their credit score is equal to 20%.
B. There is not sufficient evidence to reject the claim that the percentage of Americans who know their credit score is equal to 20%.
C. There is not sufficient evidence to support the claim that the percentage of Americans who know their credit score is not equal to 20%.
D. There is not sufficient evidence to support the claim.
Look at the table and find the probability that a randomly chosen student is a light girl.
Answer:
18/80 = 9/40
Step-by-step explanation:
Circle has equation x^2+y^2=36
Radius=6
Centre=(0,0)
The distinct point A(a,root11) and B (b,root11) lie on the circumference of the circle. Work out the length AB
Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks?
y = 25x + 300
y = 25x – 300
y = –25x – 300
y = –25x + 300
one of those
Answer:
y=−25x+300
Step-by-step explanation:
have a good day/night
may i please have a branlliest
What would be the algebraic rule for a dilation with a scale factor of 3?
Answer: multiply each point by 3. You would need to multiply both the x and y value in the point to find the new dilated point.
Step-by-step explanation:
The table below shows the cost of downloading songs from a website.
Number of Songs Total Cost
At this rate, what is the cost per song?
Answer:
$1.27 per song
Step-by-step explanation:
15 / 11.85 = 1.2658 -> rounded to $1.27
18 / 14.22 = 1.2658 -> rounded to $1.27
20 / 15.80 = 1.2658 -> rounded to $1.27
Deltamath
Please help me I need help!!!!
⚠️Due today!!⚠️.
Answer:
(8,8)
Step-by-step explanation:
x coordinate:
10 + 6
16
16 / 2
8
y coordinate:
6 + 10
16
16 / 2
8
8,8
The price of Stock A at 9 A.M. was $14.83. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $15.33. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
0.5 hoursStep-by-step explanation:
Let the x be the number of hours after noon.
We have the following equation:
14.83 + 0.12(x + 3) = 15.33 - 0.15x 14.83 + 0.12x + 0.36 = 15.33 - 0.15x0.12x + 0.15x = 15.33 - 15.190.27x = 0.14x = 0.14/0.27x ≈ 0.5PLEASE ANSWER EEEEEEEEEEEEEEEEEEE
Answer:
5 x 4 x 3 = 60
Step-by-step explanation:
Do - H x L x W
H is 5
L is 4
W is 3
Evaluate f(8): SHOW ALL YOUR WORK
f(x) = x2 – 4
Answer:
60
Step-by-step explanation:
substitute x=8
f(8)=(8)2-4=60
Answer:
60
Step-by-step explanation:
f(x) = x² - 4
f(8) = (8)² - 4 = 64 - 4 = 60
Factor 49p – 35q.
Write your answer as a product with a whole number greater than 1.
Answer:
7(7p-5q)
Step-by-step explanation:
49p-35q
7(7p-5q)
Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily’s tea?
a.
$108.70
b.
$144.93
c.
$536.77
d.
$715.69
Answer:
d
Step-by-step explanation:
Answer:
its right
Step-by-step explanation:
(10a⁵b⁴-15a⁴b⁵+5a³b³)÷(-5a³b³)
Answer:
[tex]\bold{-2a^2b+3ab^2-1}[/tex]Step-by-step explanation:
[tex](10a^5b^4-15a^4b^5+5a^3b^3)\div(-5a^3b^3)=\dfrac{10a^5b^4-15a^4b^5+5a^3b^3}{-5a^3b^3}=\\\\\\=\dfrac{10a^5b^4}{-5a^3b^3}+\dfrac{-15a^4b^5}{-5a^3b^3}+\dfrac{5a^3b^3}{-5a^3b^3}=-2a^2b+3ab^2-1[/tex]
1) A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip
back took 16 hours. What is the speed of the boat in still water? What is the speed of the
current?
A) boat: 13 mph, current: 4 mph B) boat: 30 mph, current: 2 mph
C) boat: 45 mph, current: 1 mph D) boat: 20 mph, current: 4 mph
Answer:B
I think we are in the same class lol
Step-by-step explanation:448 divided by 14= 32
448 divided by 16= 28
B=speed of boat in water
Y= Speed of current
B+y=32
B-y=28
32 + 28 =60
60 divided by 2 = 30
32 -30 =2
B=30
Y=2
Add my discord if you need more help Snapple#0141
A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.
How to find the speed of an object?If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
A boat traveled 448 miles downstream and back.
The trip downstream took 14 hours. The trip back took 16 hours.
[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
Speed of downstream
448/ 14= 32
Speed of back stream
448 / 16= 28
B = Speed of boat in the water
Y = Speed of current
The system of equation
B + y = 32
B - y = 28
32 + 28 =60
60 / 2 = 30
So,
32 - 30 =2
B = 30
Y = 2
Learn more about motion in stream here:
https://brainly.com/question/14297576
#SPJ2
A new car cost $28,950. It loses 15% of its value each year. The formula V(t) = 28,950(1-0.15) models this situation. What does V(t) represent?
Answer:
the answer is 67789 because he will have enough money for the car to play
Simplify this expression to standard form: -3(2x -4) - 2
Answer:
−6x + 10
Step-by-step explanation:
- (−3) (2x) + (−3) (−4) + −2
- −6x + 12 + −2
- (−6x) + (12 + −2)
= −6x + 10
Yesterday, Claudia ran 1/9 of a mile. today she ran 3/4 of a mile. how far did she ran all together?
Answer:
31/36
Step-by-step explanation:
1/9 + 3/4 = convert the denominators with finding a common multiple of 9 first = 9 x 4 = 36
9 x 4 = 36 and 4 x 9 = 36
?/36
Then convert the numerators with the numbers you bolded
1 x 4 = 4
and 3 x 9 = 27
= 4/36 + 27/36 = 31/36
х
110°
70°
у
x = [? ]
Answer:
I believe it's 180 or 90
180?
Anyone know this?? I’m confused..
Answer:
jgh
side side side axioms
not sure
Answer:
[tex]\triangle CAB\cong \triangle ONP[/tex]
Step-by-step explanation:
Triangles [tex]\triangle CAB[/tex] and [tex]\triangle ONP[/tex] share two corresponding angles and the inclusive side between them. This is known as ASA (angle-side-angle) and does prove congruence. Therefore, [tex]\triangle CAB\cong \triangle ONP[/tex].
The four proofs of congruence include SSS (side-side-side), SAS(side-angle-side), ASA (angle-side-angle) and AAS (angle-angle-side). No other pair of triangles demonstrate any of these.
What is the least common multiple of 8 and 18?
A
16
B
36
С
72
D
144
Answer:72
Step-by-step explanation:
Answer: the answer is D
Step-by-step explanation:
i really need help!!!
Jason, Lewis, and Nora will be placed in a line along with 7 other people.
What is the probability that they will be next to each other in any order?
Give percentage
Answer:
[tex]Pr = 6.67\%[/tex]
Step-by-step explanation:
Given
[tex]n = 10[/tex] i.e. 10 people
Required
Probability of being next to each other
First, we calculate the total possible arrangements (without any restriction)
[tex]Total = n![/tex]
[tex]Total = 10![/tex]
If the three are to be next to each other,
First, we arrange the three
[tex]r_1 = 3![/tex]
Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)
The arrangement is:
[tex]r_2 =8![/tex]
So, the total arrangement, when they have to be next to one another is:
[tex]r = r_1 * r_2[/tex]
[tex]r = 3! * 8![/tex]
The probability is:
[tex]Pr = \frac{r}{n}[/tex]
[tex]Pr = \frac{3! * 8!}{10!}[/tex]
Expand
[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]
[tex]Pr = \frac{3*2*1}{10*9}[/tex]
[tex]Pr = \frac{6}{90}[/tex]
[tex]Pr = 0.0667[/tex]
Express as percentage
[tex]Pr = 0.0667 * 100\%[/tex]
[tex]Pr = 6.67\%[/tex]
Pls what’s the answer
Answer:
D is correct option.
Step-by-step explanation:
g(x) =-3 root x-1.