Answer:
Step-by-step explanation:
3y – 6x = 3 -----------------------------------(I)
y = 2x + 1 ----------------------------------(II)
Substitute y = 2x + 1 in equation (I)
3*(2x+ 1) - 6x = 3
3*2x + 3*1 -6x = 3
6x + 3 - 6x = 3
3 = 3
So, no solutions
Answer:
Use the substitution method to determine the solution type of the following system.
3y – 6x = 3
y = 2x + 1
Correct Answer
Infinitely many solutions
No solutions
(3, –1)
(2, 0)
Step-by-step explanation:
In a primary school class, the ratio of boys to girls is 3:4. If there are 12 girls in the class, what is the total number of students in the class? *
Answer:
21
Step-by-step explanation:
A ratio of 3:4 means that for every 3 boys there are 4 girls and vice versa.
12 girls / 4 girls = 3
3 boys * 3 = 9 boys
There are 9 boys in the class.
9 boys + 12 girls = 21 total students
What is the length of LA?
The length of LA in the triangle will be 8.
How to calculate the triangle?From the information given, it was stated that both the triangles are similar.
In this situation, the length of LA will be:
= (12 × 4)/6
= 48/6
= 8
Therefore, the length of LA in the triangle will be 8.
Learn more about triangles on:
brainly.com/question/17335144
#SPJ6
A farmer sold 54 pumpkins the first weekend of a fall festival and 42 pumpkins the second weekend.
Which expression uses the distributive property to show equivalent expressions for this situation?
54 + 42 = (3)(18) + (6)(7)
54 + 42 = (9)(10) + 6
54 + 42 = 90 + 6
54 + 42 = 6(9 + 7)
Answer:
54 + 42 = 6(9 + 7)
Step-by-step explanation:
Using distributive property on the right side of the equality, you multiply 6 and nine and 6 and 7 to get rid of the parenthesis.
Answer:
its the last one
Step-by-step explanation:
What number must be added to 101 to produce a number equal to the product of 101 x 21
Answer:
2020
Step-by-step explanation:
101 • 21 = 2121
2121 - 101 = 2020
Please help!!!!! Assume the blue lines are parallel. Based on the diagram, select all angles that are congruent to angle 3.
Answer:
Angle 7
Step-by-step explanation:
It is on the same side down from 3 so it would be congruent because they are lined up.
Find the center (h, k), the radius r, and the intercepts, if any of each circle.
x2 + y2 - 6x + 2y + 6 = 0
a
(h, k) = (3, -1); r = 2; x-int: 3 ± √3 (x-intercept is three plus or minus the square root of three); y-int: none
b
(h, k) = (3, -1); r = 4; x-int: 3 ± √3 (x-intercept is three plus or minus the square root of three); y-int: none
c
(h, k) = (-3, 1); r = 4; x-int: 3 ± √3 (x-intercept is three plus or minus the square root of three); y-int: none
d
(h, k) = (-3, 1); r = 2; x-int: 3 ± √3 (x-intercept is three plus or minus the square root of three); y-int: none
e
none
Answer:
A. [tex]C(x,y) = (3,-1)[/tex], [tex]r = 2[/tex], x-Intercepts: [tex]x = 3\pm\sqrt{3}[/tex], y-Intercepts: none.
Step-by-step explanation:
Let [tex]x^{2}+y^{2}-6\cdot x + 2\cdot y + 6 = 0[/tex] be the general equation of the circle, we must transform the expression into standard form to determine its center, radius and intercepts. The procedure is shown below:
1) [tex]x^{2}+y^{2}-6\cdot x + 2\cdot y + 6 = 0[/tex] Given.
2) [tex](x^{2}-6\cdot x)+(y^{2}+2\cdot y) +6= 0[/tex] Commutative and associative properties.
3) [tex](x^{2}-6\cdot x)+(y^{2}+2\cdot y) + 6 + 3 + 1 = 3 + 1[/tex] Compatibility with addition.
4) [tex](x^{2}-6\cdot x +9)+(y^{2}+2\cdot y +1) = 4[/tex] Definition of addition/Commutative and associative properties.
5) [tex](x-3)^{2} + (y+1)^{2} = 4[/tex] Perfect square trinomial/Result.
The equation of the circle centered in (h, k) in standard form is defined as:
[tex](x -h)^{2} + (y-k)^{2} = r^{2}[/tex] (Eq. 1)
Where:
[tex]h[/tex], [tex]k[/tex] - Coordinate of the center of the circle, dimensionless.
[tex]r[/tex] - Radius of the circle, dimensionless.
By direct comparison we find that circle is centered in [tex]C(x, y) = (3, -1)[/tex] and has a radius of 2.
Finally, we obtain the intercepts of the given function:
x-Intercepts ([tex]y = 0[/tex])
[tex](x-3)^{2} + (0+1)^{2} = 4[/tex]
[tex]x^{2}-6\cdot x +9+1 = 4[/tex]
[tex]x^{2}-6\cdot x +6=0[/tex]
Roots are found analitically by Quadratic Formula:
[tex]x = 3\pm\sqrt{3}[/tex]
y-Intercepts ([tex]x=0[/tex])
[tex](0-3)^{2}+(y+1)^{2} = 4[/tex]
[tex]9+y^{2}+2\cdot y +1 = 4[/tex]
[tex]y^{2}+2\cdot y +6 = 0[/tex]
Roots are found analitically by Quadratic Formula:
[tex]y = -1\pm i\,\sqrt{5}[/tex]
In a nutshell, there are no y-Intercepts.
We include a graphic including circle, center and x-Intercepts.
Finally, we came to the conclusion that correct answer is A.
Given f(x) = -x - 2, find x when f(x) = 12.
es
A)
-14
B)
-12
C)
10
D)
14
Answer:
We substitute
12 = -x - 2
14 = -x or -x = 14
so the answer is -14!
I am in honors high school algebra and I am 11. Trust me bro.
Step-by-step explanation:
Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?
T(x)=0.963x
T(x)=0.17x
T(x)=1.19x
T(x)=1.97x
Answer:
0.963
Step-by-step explanation:
It’s correct
Find the sum. Express the answer in scientific notation.
(8.7 x 10°)+(4.58 x 10')
O 1.328x108
1.328 x 1010
13.28 x 10°
13.28 x 1018
Answer: A
Step-by-step explanation:
The sum of [tex]8.7 \times 10^9[/tex] and [tex]4.58 \times 10^9[/tex] in scientific notation is [tex]13.28 \times 10^9[/tex].
To find the sum of [tex](8.7 \times 10^9)[/tex] and [tex](4.58 \times 10^9)[/tex] and express it in scientific notation.
we need to add the coefficients and keep the same exponent.
[tex]8.7 \times 10^9 + 4.58 \times 10^9[/tex]
[tex]= (8.7+4.58)\times 10^9[/tex]
[tex]= 13.28 \times 10^9[/tex]
Therefore, the sum of [tex]8.7 \times 10^9[/tex] and [tex]4.58 \times 10^9[/tex] in scientific notation is [tex]13.28 \times 10^9[/tex].
To learn more on Number system click:
https://brainly.com/question/1763119
#SPJ6
Complete question:
Find the sum. Express the answer in scientific notation.
(8.7 x 10⁹)+(4.58 x 10⁹)
1.328x10⁸
1.328 x 10¹⁰
13.28 x 10⁹
13.28 x 10¹⁸
6. (02.01 MC)
The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Florida. Much information about healthcare comes from
patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the
Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.
Part A: What is the population for this sample survey? What is the sample? (4 points)
Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to
the truth about the entire population? Explain. (6 points) (10 points)
Answer:
A)i) Population: Total number of people that reside in Florida..
II) Sample: 62348 people that took part in the random survey.
B) No, the estimates are not close to the truth of the entire population.
Step-by-step explanation:
A)i) The population is the total number of people that reside in Florida.
II) The sample is the 62348 people that took part in the random survey.
B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.
Find the slope of the line
Answer:
0
Step-by-step explanation:
California lowest point of elevation is -86 meters. Louisiana lowest point of elevation is 83.6 meters higher than California low point. What is the lowest point of elevation in Louisiana
Answer:
-2.4 meters
Step-by-step explanation:
-86 + 83.6 = -2.4
A journalist interviews 123 people after they leave a restaurant and asks them how confident they are that the food is safe.
Answer:
what do I need to do to answer
Step-by-step explanation:
How much will cost to buy beef for a family of 2 if each person gets 1/2 pound of beef and the beef cost 5.99 per pound?
Answer:
it will cost 5.99
Step-by-step explanation:
because each person getting half and there are 2 peeps so add up the meet to make on pound
Your favorite dog groomer charges according to your dog's weight. If your dog is 15 pounds and under, the groomer
charges $35. If your dog is between 15 and 40 pounds, she charges $40. If your dog is over 40 pounds, she charges $40,
plus an additional $2 for each pound.
a. Write a piecewise function that describes what your dog groomer charges.
b. Graph the function.
Answer:
hope the pics below helps!!
Plz mark brainliest :DD
The groomer charges is an illustration of a piece-wise function, where different functions are used to handle different inputs.
The piece-wise function is:
[tex]f(x) = \left[\begin{array}{ccc}35,&x \le 15\\40, &15 < x \le 40\\2x - 40,&x > 40\end{array}\right[/tex]
Let:
[tex]x \to[/tex] weight of dog
[tex]y \to[/tex] charges
Dogs that weigh 15 pounds or under
This means that: [tex]x \le 15[/tex]
And the charges is [tex]y = 35[/tex]
Dogs that weigh between 15 and 40 pounds
This means that: [tex]15 < x \le 40[/tex]
And the charges is [tex]y = 40[/tex]
Dogs that weigh over 40 pounds
This means that: [tex]x > 40[/tex]
And the charges is [tex]y = 40 + (x - 40) \times 2[/tex]
Simplify
[tex]y = 40 + 2x - 80[/tex]
Collect like terms
[tex]y = 2x +40- 80[/tex]
[tex]y = 2x - 40[/tex]
So, the piece-wise function is:
[tex]f(x) = \left[\begin{array}{ccc}35,&x \le 15\\40, &15 < x \le 40\\2x - 40,&x > 40\end{array}\right[/tex]
See attachment for the graph of the piece-wise function
Read more about piece-wise functions at:
https://brainly.com/question/19338550
Ace Heating and Air Conditioning Service finds that the amount of time a repairman needs to fix a furnace is uniformly distributed from 5 and 9 hours. . Let x = the time needed to fix a furnace.
Required:
a. What is the probability that it takes the repairman more than 7 hours to fix a furnace?
b. Find the probability that a randomly selected furnace repair requires less than 3 hours.
c. Find the 30th percentile of furnace repair times.
d. The longest 25% of repair furnace repairs take at least how long? (In other words: Find the minimum time for the longest 25% of repair times.) What percentile does this represent?
e. Find the mean and standard deviation
Answer:
a
[tex]P(X > 7) = 0.5[/tex]
b
[tex]P(X < 3) = -0.5[/tex]
c
[tex]x = 6.2 \ hours[/tex]
d
[tex]x_1 = 8 \ hours[/tex]
e
Mean [tex]\mu = 7[/tex]
Standard deviation [tex]s \approx 1.1547[/tex]
Step-by-step explanation:
From the question we are told that
The amount of time a repairman needs to fix a furnace is uniformly distributed from 5 and 9 hours
Generally the probability that it takes the repairman more than 7 hours to fix a furnace is mathematically represented as
[tex]P(X > 7) = \frac{9- 7}{9-5}[/tex]
=>[tex]P(X > 7) = 0.5[/tex]
Generally the probability that a randomly selected furnace repair requires less than 3 hours. is mathematically represented as
[tex]P(X < 3) = \frac{3 -5}{9-5}[/tex]
=>[tex]P(X < 3) = -0.5[/tex]
Generally the 30th percentile of furnace repair times is mathematically represented as
[tex]30^{th} \ percentile = \frac{x - 5}{9-5}[/tex]
=> [tex]0.3 = \frac{x - 5}{9-5}[/tex]
=> [tex]x = 6.2 \ hours[/tex]
Generally the time taken for the longest 25% of furnace repair is mathematically evaluated as
[tex]75^{th} \ percentile = \frac{x_1 - 5}{9-5}[/tex]
Here making use of the [tex]75^{th}[/tex] because we are considering duration that fall with the top [tex]25^{th}[/tex]
=> [tex]0.75 = \frac{x_1 - 5}{9-5}[/tex]
=> [tex]x_1 = 8 \ hours[/tex]
Generally the mean is mathematically represented as
[tex]\mu = \frac{5 + 9 }{2}[/tex]
=> [tex]\mu = 7[/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{ \frac{(9- 5)^2}{12} }[/tex]
=> [tex]s \approx 1.1547[/tex]
Need help can you help me
Answer:
Class width
Step-by-step explanation:
Class width is the difference between two consecutive lower limits (or two consecutive lower class boundaries) in a frequency distribution.
Day 2- Real World- Midpoint
While planning the layout of her yard, Laura created a grid
system representing her backyard. On the grid, Laura placed
the center of a herb garden at the coordinates (3.14) and wants
to place a bird bath at the point (7,29). If Laura wants to
position the center of a flower garden so that the bird bath is
halfway between the herb and flower gardens, at what
coordinates should the center of the flower garden be placed?
(11, 150
O (11,44)
O (4,44)
O (4,15)
Help
Answer:
Point of the flower garden R ( 11, 44 )
Step-by-step explanation:
Let´s call P ( 3, 14 ) The center of the herb garden, and Q ( 7 , 29 ) the birdbath point
Differences in coordinates of these two points are:
x axis 7 - 3 = 4
y axis 29 - 14 = 15
Then the point Q ( x , y ) will be at: Q ( 11, 44)
x axis x = 11 because 7 + 4 = 11 means that the coordinate 7 is just halfway way between coordinates (x) 3 and 11 ( 4 above 3, and 4 below 11)
Reasoning the same way we conclude y = 44 in this case 29 is just halfway between coordinates (y) 14 and 44 ( 15 above 14 and 15 below 44)
We can probe getting distance d₁ between P and Q and d₂ distance between Q and R as:
d₁ = √ (7-3)² + ( 29-14)²
d₁ = √ 16 + 225
d₂ = √ (11 - 7)² + ( 44 - 29)²
d₂ = √ 16 + 225
Find the value of the expression:
70–a2 for a=–25; 1; 10
Simple answer.
You will have to replace a, with the given numbers.
For the 1st one)
70-25² since a=25. 70-625=-55
2nd)
70-1²=70-1=69
3d)
70-10²=70-100=-30
Hope this helped.
3.Each day you exercise you either walk 5 miles or jog 2 miles. You exercised 19 days last month and the total distance you travelled was 74 miles. How many days did you walk?
Answer:
You walk 12 days
Step-by-step explanation:
Let's call:
W=Number of days you walk
J=Number of days you jog
Since you only do one of the exercises per day:
W + J = 19
Solving for J:
J = 19 - W
Every day you walk, you travel 5 miles, and every day you jog, you travel 2 miles, thus:
5W + 2J = 74
Replacing the expression for J:
5W + 2(19 - W) = 74
Operating:
5W + 38 - 2W = 74
Simplifying:
3W = 74 - 38 = 36
Solving:
W = 36 / 3 = 12
You walk 12 days
can someone please help me :)
Answer:
30
Step-by-step explanation:
RST=RSV-TSV
2x+8=11x+10-101
2x-11x=10-8-101
-9x=-99
x=99/9
x=11
--->RST=2(11)+8
RST=30
Round 9.96 to the nearest tenth
Answer:
10
I hope this helps!
What’s 6r+3=4r-11?????
Answer:
-7
Step-by-step explanation:
6r+3=4r-11
distributive property
6r-4r=-11-3
2r=-14
r=-7
Which of the following fractions has the same value as the decimal number 0.65?
Answer:
13/20
Step-by-step explanation:
Rename 2 1/2 as an improper fraction
Answer:
5/2
Step-by-step explanation:
Because that is the answer
Answer:
5/2
Step-by-step explanation:
Because it is an improper fraction so you move it to the top.
Pls Brainliest! ;) It would mean a lot!
78 feet wide and 27 feet long what is the perimeter?
Answer:
105
Step-by-step explanation:
When finding the perimeter add them together
Write an equation of the line below.
The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level.
1= 0.411
2=0.278
3=0.221
4=0.080
5=0.010
(a) Find the mean, variance and standard deviation of the probability distribution.
(b) Interpret the results: A, B, C or D.
A. The average hurricane is aprox. category 1.
B. The average hurricane is aprox. category 2.*
C. Most of the hurricane sizes differ from the average by about 2 or 3.
D. Most of the hurricane sized differ from the average by about 1 or 2.*
Answer:
a) mean = 0.2
variance = 0.0391
standard deviation = 0.198
b) The average hurricane is aprox. category 2.* (B)
Step-by-step explanation:
In order to find the mean, variance, and standard deviation, let us for a table for the data:
level x
1 0.411
2 0.278
3 0.221
4 0.080
5 0.010
Calculating the mean ([tex]\bar{x}[/tex])
[tex]\bar{x} = \frac{x_1+x_2+x_3+x_4 + x_5}{n}\\\\\bar{x} = \frac{0.411 + 0.278 + 0.221 + 0.080 + 0.010}{5}\\\bar{x} = \frac{1}{5}\\ \bar{x} = 0.2[/tex]
∴Mean = 0.2
level x [tex]x- \bar{x}[/tex] [tex](x - \bar{x})^2[/tex]
1 0.411 0.211 0.0445
2 0.278 0.078 0.0608
3 0.221 0.021 0.000441
4 0.080 -0.12 0.0144
5 0.010 -0.19 0.0361
[tex]\sum(x - \bar{x})^2 = 0.1562[/tex]
[tex]variance = \frac{\sum(x - \bar{x})^2}{n-1} \\variance = \frac{0.1562}{4} \\variance = 0.0391[/tex]
standard deviation = √(variance)
Standard deviation = √(0.0391)
Standard deviation = 0.198
b) the average hurricane is aprox. category 2 (B)
A marathon runner travels 9/2 miles in 1/2 hour what is the unit rate
Answer:
9/2:1/2
Step-by-step explanation:Here's the answer
What is 3/100 - 1/50 equal?
Answer:
0.01?
Step-by-step explanation:
