Answers
Answer:
[tex](x,y) = (-1,-2.5)[/tex]
Step-by-step explanation:
Let be [tex]f(x) = \frac{(x+3)^{2}}{x-2}[/tex] and [tex]g(x) = \left|\frac{x}{2}\right| -3[/tex], we plot each curve with the help of graphic tool. In this case, we use Desmos and outcome is presented in the image attached below. Mathematically speaking, a solution to the system of equation exists when [tex]f(x) = g(x)[/tex]. Graphically speaking, it means that a solution exists when both curves pass through each other.
According to the graphic tool, we conclude that the only solution to the system of equations is [tex](x,y) = (-1,-2.5)[/tex].
Related Questions
Question 11
A card game is being played and the 5 of spades and 10 of clubs are drawn. In order to win the
hand, the next card must be higher than the highest card already on the table. Assuming the
game is played with a single deck, what is the chance that the next card drawn will win the
hand? (An ace has a value of 1.)
A.3%
B.12%
I
C.24%
D.25%
Answers
Answer:
24%
Step-by-step explanation:
trust me and get blessed
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
There are 50 cards left in the deck after the 5 of spades and 10 of clubs are drawn since there are 4 suits with 13 cards each, and 2 of those cards have already been drawn.
Out of the remaining 50 cards, there are 16 cards that could win the hand: the 9 remaining cards higher than the 10 of clubs in any suit, and the 6 remaining cards in the spade suit (since the 5 of spades is already on the table).
Therefore, the probability of drawing a card that could win the hand is 16/50, which simplifies to 8/25. This is approximately 0.32 or 32%.
However, we need to subtract the probability of drawing the 5 of clubs, 10 of spades, or any of the 8 remaining cards that would not win the hand.
The probability of drawing one of these cards is 10/50, which simplifies to 1/5 or 20%.
The probability of drawing a card that could win the hand and actually winning the hand is:
(16/50) x (1/5)
= 0.32 - 0.2
= 0.12 or 12%.
Thus,
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Help me please quick
Answers
Answer:
[tex]slope = \frac{rise}{run} [/tex]
The slope is 3
Yep thts your answer
1. The drama club sells 200 pounds of fruit to raise money. The fruit is sold in
5-pound bags and 10-pound bags,
a. Write an equation to find the number of
each type of bag that the club should sell
.
Answers
I got the wrong answer. I don't want to keep this up just in case anyone needs the answer to this question again. But I can't delete my answer so I'll just leave this. Have a nice day tho. Sorry about that :(
HELP IM STRUGGLING I DONT WANNA FAIL THIS SCHOOL YEAR
Answers
Answer:
507 cubic m
Step-by-step explanation:
V = l · w · h
V = 13 × 13 × 3
V = 507
What is the probability that a randomly chosen student is a boy that prefers comedy movies?
I NEED HELPPO ASAP
Answers
Expiation I don’t got one
Answer:
12/35
Step-by-step explanation:
i don’t know the decimal but you can figure that out quickly
Please help me find the graph that goes with the equation
Answers
Answer:
it is one
Step-by-step explanation:
Solve for n: 8n = 56
n=1/7
n = 7
n = 48
n = 64
n= 448
Answers
Answer:
The answer is number 7
Step-by-step explanation:
56÷8=7
n= 7
You divide by 56
39kg 756g + 52kg 670g
Answers
Answer:
1517g or 1.517kg
Step-by-step explanation:
What number will make the equation true?
0.35+65/100=?/100+65/100
Answers
Answer:
The Answer Is 35Solve for x.
8x + 13
12x +7>>
Answers
Answer:
Solution given:
8x+13+12x+7=180°[exterior angle's sum is supplementary]
20x=180°-20
x=160°/20°
x=8° is your answer.
2. A 16 foot ladder is leaning against a house. The ladder's angle of elevation is 47 degrees. How
far above the ground is the top of the ladder?
Answers
PLS HELP WILL GIFT 50+ POINTS TO THE FIRST PERSON WHO WILL ANSER ANSER AND EXPLAIN THROUGHLY PLZ HELP!!!
Answers
Answer: it is invalid
Step-by-step explanation: it is invalid because the data table has 30 out of 100 people stating that they prefer to view movies in theater. This does not have the same ratio as 300 out of 400, and would only work had he said 300 out of 1000. Thus, he is incorrect in his inference.
Raid this zoom ASAP
ID:756 537 0556
PASS: fP8TRU
Answers
Answer:
uhm ok-?
Step-by-step explanation:
Step-by-step explanation:
no not interested
For a sample of 9 automobiles, the mileage (in 1000s of miles) at which the original front brake pads were worn to 9% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 9% of their original thickness. The results were as follows: Car Rear Front 1 40.6 32.5 2 35.4 27.1 3 46.6 35.6 4 47.3 35.6 5 38.7 30.3 6 51.2 41.1 7 50.6 40.7 8 45.9 34.3 9 47.2 36.5 Send data to Excel Part: 0 / 20 of 2 Parts Complete Part 1 of 2 (a) Construct a 99.5% confidence interval for the difference in mean lifetime between the front and rear brake pads. Let d represent the mileage of the rear pads minus the mileage of the front ones. Use tables to find the critical value and round the answers to at least two decimal places. A 99.5% confident that the mean difference in lifetime between front and rear brake pads is
Answers
Answer:
CI =[- 4.588; 15.4]
Since the calculated value of t= 4.244 falls in the critical region so we reject H0 and conclude that we are not confident that the mean difference in lifetime between front and rear brake pads is 99.5%
Step-by-step explanation:
The given data is
Car Rear Front d= rear- front
1 40.6 32.5 8.1
2 35.4 27.1 8.3
3 46.6 35.6 11
4 47.3 35.6 11.7
5 38.7 30.3 8.4
6 51.2 41.1 10.1
7 50.6 40.7 9.9
8 45.9 34.3 11.6
9 47.2 36.5 10.7
∑ = 89.8
Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
The degrees of freedom = n-1= 9-1= 8
The significance level is 0.05
The test statistic is
t= d`/sd/√n
The critical region is ║t║≤ t (0.025,8) = ±2.306
Sd= 7.05434553
d`=∑d/n= 89.8/9= 9.978
Therefore
t= d`/ sd/√n
t= 9.978/ 7.054/√9
t= 4.244
1) Since the calculated value of t= 4.244 falls in the critical region so we reject H0 and conclude that we are not confident that the mean difference in lifetime between front and rear brake pads is 99.5%
2) the confidence interval for the difference of two samples can be calculated by
d ` ± td sd/√n
9.978 ±2.306* 7.054/√9
- 4.588; 15.4
Hi I’m a tutor ask me if you need help
Answers
Answer:
are you realy a tutor?
Step-by-step explanation:
You download a video game on your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the game and 7 1/3 minutes to play each level. You want to find out how many levels you can play for free write an inequality that describes the number of levels, l, you can play in 60 minutes
Answers
for me i think and calculated 9 levels
A triangle has height 4ft and an area 64ft square What is the length of its base?
Answers
Answer:the answer is 60
Step-by-step explanation:
The question is “what is the length” so what I think we are supposed to do is to add since the height is 4 and the area is 64 so the length has to be 6
Hope I helped
4) Find the value of k if (-2)k × (-2)3 = (-2)7
Answers
Answer:
k = 4
Step-by-step explanation:
(-2)k+1 × (-2)3 = (-2)7
-2k + -6 = -14
- 2k = -14 + 6
- 2k = - 8
k = -8 / -2
k = 4
HOPE IT HELPS ...
PLZZZ.MARK ME AS BRAINLIEST..
Please please give the answer fast
Answers
Answer:
169
Step-by-step explanation:
27 + 22 + 98 + 22 = 169
Lola had $235.00 in her savings account. Three months later, Lola had
$136.30 in her account. What was the percent decrease of Lola's savings
account?
Answers
Answer: decreased by 42%
Step-by-step explanation:
Please ASAP answer this question:)
Answers
Answer:
17 in
Step-by-step explanation:
H²= 8²+15²
H²= 64+225
H²=289
H= √289
H= 17
Answer:
17 in. (option C)
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Set the hypotenuse as x.
8² + 15² = x²
Simplify.
x² = 289
Remove the square from both sides.
x = √289 = 17
Thus, the answer is C, 17.
Gretchen measured the length of her toaster, to the nearest half inch to be 9 inches. Steve measured the toaster to the nearest quarter inch and found it measured 9 1/4 inches. Who used a more precise measurement?
Answers
Hope this helps :D
Name ____________________________ Class________ Date ____________________________ Directions: Each diagram is formed by two parallel lines and a transversal. Find the value of . Use your answers to navigate through the maze. SHOW ALL STEPS! Show your work
Answers
Step-by-step explanation:
How are we supposed to help...?
I NEED this answered right NOW please!!!!
Answers
Answer:
id k the answer options so i can t answer it
Step-by-step explanation:
Find the 30th term of the following sequence. 1, 7, 13, 19, ...
Answers
Answer:
175
Step-by-step explanation:
a30 = a1 + f × (n-1)
f= difference between numbers
it is 8:00 p.m. in canberra australia what time it is in philippines?
Answers
Answer:
6:00 P.M.
Step-by-step explanation:
HELP jimthompson5910
Answers
Answer:
2 pounds= $3.00
5 pounds= $7.50
8 pounds= $12.00
It is likely that the car will have a navigation system. What could be the probability that it will have a navigation system?
(A) 1
(B) 0
(C) 1/8
(D) 2/3
Answers
Answer:
not sure but could be D
Step-by-step explanation:
since most cars nowdays do have them the probability of it having navigation could be 66.6% which is 2/3 x 100
I think I’m right but I don’t know yet
Answers
Answer:
You are incorrect; the correct answer would be 306.324 first then 306.359 second then 316.011 last
Step-by-step explanation:
Some values of the linear function f are given in the table shown. What is the value of f(100)?
Answers
Answer:
f(100) = 160.
Step-by-step explanation:
Linear function:
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much f(x) changes when x changes by 1) and b is the y-intercept(value of f(x) when x = 0).
Finding the slope:
Suppose we have two points. The slope is the change in the output divided by the change in the input.
In this question, we have points (45,50) and (60,80).
Change in the output: 80 - 50 = 30
Change in the slope: 60 - 45 = 15
Slope: 30/15 = 2
So
[tex]y = 2x + b[/tex]
Point (45,50)
This means that when [tex]x = 45, y = 50[/tex]. We use this to find the value of b.
[tex]y = 2x + b[/tex]
[tex]50 = 2(45) + b[/tex]
[tex]b = -40[/tex]
So
[tex]y = 2x - 40[/tex]
With y = f(x)
What is the value of f(100)?
This is y when x = 100. So
[tex]f(100) = 2(100) - 40 = 200 - 40 = 160[/tex]
f(100) = 160.