Answer: (0,10) and (3,1)
Step-by-step explanation:
Before I solve the system, I am going to rewrite it to make it easier for me to understand it.
[tex]y=(x-3)^2+1\\y=-3x+10[/tex]
Notice that f(x) and g(x) have been changed into y. The reason is because f(x) and g(x) are the same and stand for y, but we only use f and g to distinguish between the 2 equations. We can use equal values to solve.
[tex](x-3)^2+1=-3x+10[/tex] [exponent]
[tex]x^2-6x+9+1=-3x+10[/tex] [add both sides by 3x]
[tex]x^2-3x+10=10[/tex] [subtract both sides by 10]
[tex]x^2-3x=0[/tex] [factor]
[tex]x(x-3)=0[/tex]
Notice that x=0 and x-3=0. This means the solutions are x=0 and x=3.
To find the actual full solution, we have to plug those points back into the original equations.
[tex]-3(0)+10=0+10=10\\-3(3)+10=-9+10=1[/tex]
Therefore, the solutions to this system are (0,10) and (3,1).
The median of the data 78,56,22,34,45,56,39,68,54,84 is____
Answer:
22,34,39,45,54,56,56,68,78,84
Answer: 54,56
Step-by-step explanation:
Since 54 and 56 are in the middle,
In order to find the median you need to arrange the following numbers in ascending order and identify the number in the middle of the order.
f(x) = 200(1
Bhhhhhhhhhhh
Answer:
hgyt67rdjhhrgytr7ugjv. hgehalk4
Step-by-step explanation:
a snail on her trip from a pumpkin patch to a strawberry field. one hour and 36 minutes later a turtles leaves the pumpkin patch for the strawberry field and arrives at the same time as the snail the distance between the pumpkin patch and the strawberry field is 52m find the speed of the snail if it is 32 meters per hour less than the speed of the turtle.
Answer:
20 mph
Step-by-step explanation:
anyway this was my equation
8/15+52/x=52/x-96
x=156, convert that into hours, which is 2.6, 52/x, which is speed for snail is = 20
I know you're in RSM because I am too. If you need help, asking your teacher is better because they will explain it better.
The speed of the snail is 20 meter per hour
SpeedSpeed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance/ time
Let a represent the speed of the the turtle and b the speed of the snail. Hence:
b = a - 32 (1)
Also:
b = 52 / t
t = 52/b
a = 52 / (t + 1.6)
a(t + 1.6) = 52
t = (52 + 1.6a) / a
52/b = 52/a + 1.6
a = 52 meter per hour, b = 20 meter per hour
The speed of the snail is 20 meter per hour
Find out more on Speed at: https://brainly.com/question/4931057
WHO KNOWS HOW TO DO THIS LET ME KNOW
Answer:
Step-by-step explanation:
7). Since, ∠4 and ∠5 are the linear pair of angles,
m∠4 + m∠5 = 180° [Supplementary angles]
72° + m∠5 = 180°
m∠5 = 180° - 72°
m∠5 = 108°
8). Since, ∠6 and ∠7 are the vertically opposite angles,
Therefore, ∠6 ≅ ∠7
m∠6 = m∠7
3x + 94 = 9x - 38
9x - 3x = 94 + 38
6x = 132
x = 22
m∠6 = 3(22) + 94 = 160°
m∠7 = 9(22) - 38 = 160°
9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.
m∠2 + m∠3 = 180°
(13x + 54) + (2x + 36) = 180°
15x + 90 = 180°
15x = 90
x = 6
m∠2 = 13(6) + 54 = 132°
m∠3 = 2(6) + 36 = 48°
Write as an expression and solve (show your work)
One fourth the difference between 21 and 5
Answer:hiii
Step-by-step explanatio
9. Convert to fractions and write in simplest form.
A) 0.02
B) 12%
C) 0.5%
D) 1.12
Answer:
A) 1/50
B) 6/5
C) 1/2
D) 28/25
Researchers are studying the relationship between the median salary of a police officer in a city and the number of violent crimes per 1,000 people. The researchers collected the police officers' median salary and the number of violent crimes per 1,000 people in 87 cities. After analyzing the data, researchers found that a city with a greater police officers' median salary tends to have a greater number of violent crimes per 1,000 people.
The variables
(select)
.
The greater police officers' median salary corresponds to a
(select)
number of violent crimes per 1,000 people, so there is a
(select)
correlation.
Causation is
(select)
but it is unknown which variable causes the other. A greater median salary of police officers could cause a greater number of violent crimes per 1,000 people or a greater number of violent crimes per 1,000 people could cause a greater median salary of police officers. It is also possible that another factor causes a greater median salary and a greater number of violent crimes per 1,000 people.
Answer:
i jke it way fi naby qheisghb hjnssg ubg. jgb
For the functions f(x) = 3x – 6 and g(x) = 3, (f9) (x) would be equal to:
a) (f9)(x) = 9x2 – 18
b) (f9) (2) = 9x – 18
c) (f9) (2) = x – 2
d) (f9) (x) = 3x – 3
URGENT Q: A bicycle company produces y bicycles at a cost represented by the polynomial y² + 10y + 100,000. The revenue for y bicycles is represented by 2y^2 + 10y + 500. Find a polynomial that represents the company's profit. If the company only has enough materials to make 300 bicycles, should it make the bicycles?
Answer:
The company should not make 300 bicycles.
Step-by-step explanation:
Mathematically speaking, profit ([tex]P(y)[/tex]) equals the difference between revenue ([tex]R(y)[/tex]) and cost ([tex]C(y)[/tex]). That is:
[tex]P(y) = R(y) - C(y)[/tex] (1)
If we know that [tex]R(y) = 2\cdot y^{2}+10\cdot y + 500[/tex] and [tex]C(y) = y^{2}+10\cdot y+100000[/tex], then the profit function is:
[tex]P(y) = 2\cdot y^{2}+10\cdot y +500 -y^{2}-10\cdot y -100000[/tex]
[tex]P(y) = y^{2}-99500[/tex] (2)
The company can make the required amount of bicycles if and only if [tex]P(y) > 0[/tex]. If [tex]y = 300[/tex], then the profit of company is:
[tex]P(300) = 300^{2}-99500[/tex]
[tex]P(300) = -9500[/tex]
The company should not make 300 bicycles.
Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0
Answer:
B.
H0 : PA - PB = 0
Ha : PA - PB > = 0
Step-by-step explanation:
The Null hypothesis refers to the initial truth in which of there is no significant evidence provided by statistical analysis will remain ; else, the alternative hypothesis which is the opposite of the Null will be favored in place of the Null.
In the scenario above, the claim by the researcher, that "the proportion of the population of polydactyl cats in region A is greater than the proportion in region B." is the Alternative hypothesis ; Ha : PA - PB > = 0 while the Null will be of the notion that the proportion of polydactyl cats in region A and region B are the same.
Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When the contestant picks a box, the chance of each box type for this round is as follows:
Type A: 75%, Type B: 20%, and Type C: 5%
The chance of drawing a red marble from Type A is 2%, from Type B is 25%, and from Type C is 98%.
The contestant selects a box and draws a marble. What is the chance of drawing a red marble? (Give the exact decimal answer.)
If the contestant does draw a red marble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places.)
Answer:
0.114
0.049
Step-by-step explanation:
For the boxes:
Type A - 75% = 0.75
Type B - 20% = 0.2
Type C - 5% = 0.05
For the marbles in each box:
Type A - 2% = 0.02
Type B - 20% = 0.25
Type C - 98% = 0.98
Then you can multiply the chance of drawing each box by the chance of drawing a red marble from that box and add all of those together:
0.75 * 0.02 + 0.2 * 0.25 + 0.05 * 0.98
= 0.015 + 0.05 + 0.049
= 0.114
The specific chance for box Type C is 0.05 * 0.98 = 0.049
Solve for x please help
Step-by-step explanation:
4x + 2 + 3x + 3 = 180 (straight angle)
4x + 3x + 2 + 3 = 180
7x + 5 = 180
7x = 175
x = 25°
In a randomly generated list of numbers from 0 to 8, what is the chance that
each number will occur?
O A 1/8
O B. 1/7
OC. 1/6
O D 1/9
Answer:
D) 1/9
Step-by-step explanation:
Amy runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
miles
Х
Answer:
10.5miles
Step-by-step explanation:
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
Answer: The Numbers are 15 and 39
Step-by-step explanation: 2(15) + 9 = 39
HELP NOW PLEASE!!!!! I will give 100 points to whoever will answer this question first
Answer:
D : 10 feet
Step-by-step explanation:
Hello I think I can help with this.
Now how I would do this given a multiple choice question is kind of use brute force with your given answers to find the solution.
So the formula for area is known as (L x W x H)
or (length x width x height)
Lets see what we are given.
We are given the length which is 12
We are also given the width which is 4 1/2
And if we multiply these we can find the surface area of the base of this rectangular prism so lets do that.
12 multiplied by 4 1/2
=
54
Alright so now we know the base of this rectangular prism is 54 ft²
Now we can start the brute force method. So we are trying to find the height in this problem since we already have the width and length and have worked that out. So now all we do is multiply what we found (54) by the possible answers until one of them gives us the answer 540 ft³.
NOW this is actually really easy because we got 54 as our answer to length x width and our total amount of area is 540.
So instead of brute force we can take an easier route and do 540 / 54 and get an easy answer of 10 which is option D :
10 feet
I hope this helps you understand this a bit better!
If you are confused or have any concerns / questions feel free to comment or message me :)
Answer:
Height = 540/(4.5*12) = 10 feet
Step-by-step explanation:
I dont rlly understand this problem, can someone help me pls! thx :)
Answer:
68 i think
Step-by-step explanation:
Step-by-step explanation:
The equation here is,
w° + 124° = 180°
=> w = 180° - 124°
=> w = 56° (Ans)
SOLUTION TO THIS EQUATION
Solve the proportion 2x+3/3 = 9/27
Answer:
-0.3333333333
Step-by-step explanation:
x^2 - 2x factorise fully
Answer:
(x-2)*x
Step-by-step explanation:
[tex]x^{2}-2x[/tex]
its maximum common divisor is x
[tex]\frac{x^{2}-2x }{x}[/tex]
[tex](x-2)*x[/tex]
find the angle of elevation from c to a
Answer:
32 Degrees
Step-by-step explanation:
Thank me later lol
divide 7 by 2 then subtract p from the result.
Answer:
3.5/p
Step-by-step explanation:
7/2 = 3.5
Answer:
[tex]\frac{7}{2}[/tex]-p is the equation
Step-by-step explanation:
nicolas quiere pavimentar el patio rectangular de su nueva casa el patio mide 5,25 m de largo y 3 m dd ancho y necesita 81 baldosas por metro cuadrado ¿cuantas baldosas nesesita nicolas para pavimentar todo el patio ? ¿porque?
Answer: Me gusta bailar y dibujar
Step-by-step explanation:
Write the explicit formula for the sequence. 27,18,12,8
Answer:
a(n) = 27*(2/3)^(n - 1)
Step-by-step explanation:
The first four terms are 27, 18, 12, 8.
Find the common ratio:
To do this, let that ratio = r, and write and solve 27r = 18. Thus, r = 2/3.
The general explicit formula for this sequence is
a(n) = a(1)*(2/3)^(n - 1), or, since a(1) = 27, a(n) = 27*(2/3)^(n - 1)
39 is what percent of 82
Answer:
47.5%
Step-by-step explanation:
39/82 = .475 = 47.5%
Answer:
39 is 47.56% of 82
Step-by-step explanation:
82 is 100% since it is our output value.
divide 39 by 82 to get the answer in decimal form:
39 / 82 = 0.4756
Then multiplied the answer from the first step by one hundred to get the answer as a percentage
0.4756 * 100 = 47.56%
Can I get some help with question 12? I need to solve it while making a proof. I’ve asked at least 5 tutors for help and none of them know what to do.
Answer:
Step-by-step explanation:
Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.
Angle GEB is a right angle by given.
Angle DFC is a right angle by given.
The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.
The two triangles are similar by angle-angle-angle.
What is the sum of the measures of the exterior angles of a 32-gon. A. 180° B. 360° C. 148° D.5400°
the sum of the measures of the exterior angles of a 32-gon is d. 5400
Which fraction has a value less than 5-7?
Answer:
3/4
Step-by-step explanation:
A group of 19 boys and 18 girls are attending a pottery class. Each pottery table can seat 6 people.
What is the least number of tables needed to seat the group?
Answer:
6 1/18 table or technically 7 since 3 tables are for the girls and 3 for the boys then one extra table for the last boy.
Step-by-step explanation:
but if you had to choose one then it would be 7
Answer:
Step-by-step explanation:
6.16 because if you add the total number of students and then divide it by 6 you get 6.166666666666667 so the answer is 6.16 mark brainliest please if the answer is correct just need two more to have five
Function f is transformed to obtain function g as shown below.
g(x) = 1/4f(x)
Which of the following describes how the graph of g is different from the graph of f?
-The graph of g is the graph of f stretched vertically by a factor of four.
-The graph of g is the graph of f compressed vertically by a factor of one-fourth.
-The graph of g is the graph of f stretched horizontally by a factor of one-fourth.
-The graph of g is the graph of f compressed horizontally by a factor of four.
Answer:
Step-by-step explanation:
g is f compressed by factor of ¼
the water supplied by a pump fills a drum of 200 liters in 20 seconds. what is the flow rate of this pump
Step-by-step explanation:
Water filled in 20 second = 200 liters
Water filled in 1 second = 200 / 20 = 10 liters
The flow rate of the pump is 10 liters per second.
Hope it will help :)
Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.
The flow rate is essentially the amount of water the pump supplies per unit amount of time which in this case is seconds.
It can be calculated as:
= Amount of water supplied / Time supplied
= 200 / 20
= 10 liters per second
In conclusion, the pump has a flow rate of 10 liters per second.
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