Answer:
G. 12y + 15
Step-by-step explanation:
for what value(s) of k, if any, will the system have no solution, a unique solution, and infinitely many solutions?
For a system of linear equations, the number of solutions depends on the coefficient matrix and the augmented matrix. To determine the number of solutions, we need to look at the row echelon form or reduced row echelon form of the augmented matrix.
1. If the row echelon form has a row of zeros with a non-zero entry in the augmented column, the system will have no solution.
2. If there are no rows of zeros and the number of pivot columns is equal to the number of variables, the system will have a unique solution.
3. If there are no rows of zeros and the number of pivot columns is less than the number of variables, the system will have infinitely many solutions.
To find the values of k for each case, we need to set up the augmented matrix and row reduce it. Since you didn't provide the system of equations, I'm unable to provide the specific values of k. However, you can follow the steps above to determine the number of solutions for any given system of equations.
To know more about row echelon form visit:
https://brainly.com/question/28968080
#SPJ11
Ax + By > C
In Which Form is this linear inequality?
Answer: A
Step-by-step explanation:
ron estimates it will cost him $600,000 to send his daughter to a private college in 18 years. he currently has $130,000 to deposit in an account. what simple interest rate must his account have to reach a balance of $600,000 in 18 years? round to the nearest percent please dont send a link they wont work
Answer:
100,000
Step-by-step explanation:
100,000 is in the middle of 130,000 and 600,000 cuz it's not even is gonna be a mix fraction
The algebraic representation of a transformation is (x,y) (3x,3y). This is an example of which type of transformation
To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) → \((3x,3y)\) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.
What form can take Algebraic representations?Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.
The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.
This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.
To visualize this transformation, imagine a rectangle with vertices at \((0,0), (1,0), (1,2),\) and \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\) and (0,6), which is three times the size of the original rectangle.
Learn more about rectangle here:
brainly.com/question/29123947
#SPJ1
math people plz answer the following ill give brainlest!!!
solve 1/3 x =12
solve 3x + 3 =21
solve 3/2 x -4 =16
9.95 + 0.30s
the variable s stands for the number of songs downloaded. find the cost of downloading 35 songs.
write an equation and solve to find the solution to the following problem.
you have 27$ to spend at the mall and a coupon for 6$ off at your favorite store. a t-shirt costs 11$. how many t-shirts can you buy using your coupon and the money??
Answer: bro this is easy
Step-by-step explanation:
Step-by-step explanation:
(1)
1 x = 12
3
multiply both sides by the 3
3 × 1 x = 12 × 3
3
x = 36
(2)
3x + 3 = 21
( group like terms)
3x = 21 - 3
3x = 18
( divide both sides by 3)
3x = 18
3 3
x = 6
(3)
9.95 + 0.30( 35 )
=9.95 + 10.5
=20.45
(4)
(4)
(I'm not soo sure about this one)
equation = 6x + 27 = x
11
solution
( multiply both sides by 11)
= (6x + 27) ×11 = x × 11
11
= 6x + 27 = 11x
( grouping like term)
27 = 11x - 6x
27 = 5x
(divide both sides by 5)
27 = 5x
5 5
x = 5.4
the number of shirt they can buy is 5 or 5.4
Solve for x and y!
Please show your work! To get brainliest!
As per questions:-
Image 1:-
\(x = 15 \sqrt{3} \\ y = 30\)
Image 2:-
\(x = 16 \\ y = 8\)
Image 3:-
\(x = 8 \\ y = 4\)
(Also check the attached 3 images for explanation.
If using Brainly app, please swipe the images to the right to see the remaining images.)
Which graph represents the linear equation y = −5x − 3?
a graph of a line that passes through the points negative 4 comma 0 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 0 and 0 comma negative 5
a graph of a line that passes through the points negative 1 comma 4 and 0 comma negative 2
Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.
Answer:
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation:
In simplifying square root radicals, write the radicand as a product of the factor and another factor.
Answer:
An example is the following: \(\sqrt{45}\)
Step-by-step explanation:
Simplify the radical: \(\sqrt{45}\)
1.We must write the radicand as a product, and then we must use the product property for simplicity.
The roof of \(\sqrt{45\) is equal =\(\sqrt{9 x 5}\)
2.We must use the property of the product: \(\sqrt {a} x \sqrt{b}\)
\(\sqrt{9x 5}\)=\(\sqrt{9} x\sqrt{5}\)
\(3\sqrt{5}\)
learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called ___ learning.
Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning
What is adaptive learning?Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.
By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.
Learn more about learning platforms at
https://brainly.com/question/32908749
#SPJ4
if suzzie reads45 book in 15 days how many books did she read in 1 day
Answer: 3 books
Step-by-step explanation: if she reads three books each day as 15 days pass, she would have read 45 books. 3 x 15 = 45. hope this helps
Answer:
3 books each day
Step-by-step explanation:
45 books
15 days
45÷15 =3
A drawer contains a dozen each of red,blue,green,ad white socks,all unmatched.Laura takes socks out at random in the dark.How many socks must laura take to be sure she has 2 pairs of white socks
Answer:
40 socks
Step-by-step explanation:
There are 48 socks in total inside the drawer. 2 pairs of white socks means four white socks. The worst possible scenario (however unlikely it is) is that Laura takes all of the red, blue and green socks before picking any white sock. From that point on, Laura has to pick four more socks in order to have two white pairs. In this scenario, there are 8 socks left in the drawer, all white. Therefore, the minimum number of socks that Laura must take to be sure that she has two pairs of white socks is:
\(n=(12*4) - 8\\n=40\ socks\)
She must take at least 40 socks.
Plz help mee look at the picture thanks
Answer:
The answer is D for this question. The one at the very bottom of the picture. The other person who answered on this question is incorrect.
Step-by-step explanation:
5 - 2x^2 = -15 solve the question using inverse operations
Answer:
x= √10 and x= -√10
Step-by-step explanation:
first look to isolate the term with the variable on one side
-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)
-2x² = -20; divide both sides by -2 (inverse of multiplication)
x² = 10; square root both sides (the inverse of raising to power of 2)
√x² =√10
x =±√10
TIME REMAINING 50:54 If line segment RU is considered the base of parallelogram RSTU, what is the corresponding height of the parallelogram
To determine the corresponding height of parallelogram RSTU, we need additional information or measurements related to the parallelogram. Without specific details we cannot calculate height accurately.
In a parallelogram, the height is the perpendicular distance between the base and the opposite side. However, to calculate this distance, we require either the length of the base or additional measurements, such as the length of another side or an angle.
Therefore, without more specific information, it is not possible to determine corresponding height of parallelogram RSTU. Additional measurements or details regarding parallelogram's properties would be necessary to calculate the height accurately.
To learn more about height of parallelogram click here : brainly.com/question/14930017
#SPJ11
Select the correct answer from each drop-down menu.A perpendicular bisector, CD, is drawn through point C on AB. If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of CS is ___ Point ___lies on CD.
To answer the given questions you need to find the equation of the line CD.
Equation of a line (y=mx+b)
1. As the bisector CD is perpendicular to AB; if AB has a slope m, CD has a slope -1/m (opposite of the reciprocal)
Use the coordinates of points A and B to find the slope (m) of AB:
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(m=\frac{6-2}{7-(-3)}=\frac{4}{7+3}=\frac{4}{10}=\frac{2}{5}\)Then, the slope of CD is:
\(-\frac{1}{m}=-\frac{1}{\frac{2}{5}}=-\frac{5}{2}\)2. To find the y-intercept (b); find a point in CD.
As CD is a bisector of AB, it passes through the midpoint of AB; use the next formula to find the midpoint:
\(\begin{gathered} M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \\ M=(\frac{-3+7}{2},\frac{2+6}{2}) \\ \\ M=(\frac{4}{2},\frac{8}{2}) \\ \\ M=(2,4) \end{gathered}\)The line CD passes through the point (2,4), use it and the slope (-5/2) to find the y-intercept as follows:
\(\begin{gathered} y=mx+b \\ 4=-\frac{5}{2}(2)+b \\ \\ 4=-5+b \\ 4+5=b \\ 9=b \end{gathered}\)3. Write the equation of the line CD: us the slope and y-intercept above
m=-5/2
b=9
\(y=-\frac{5}{2}x+9\)4. To find the x-intercept solve x using the equation of the line when y=0:
\(\begin{gathered} 0=-\frac{5}{2}x+9 \\ -9=-\frac{5}{2}x \\ \\ 2(-9)=-5x \\ -18=-5x \\ \frac{-18}{-5}=x \\ \\ x=\frac{18}{5} \end{gathered}\)X-intercept has the coordinates: (18/5,0)5. Use the equation of the line and evaluate it for each of the given points to find if the line passes through it:
\(\begin{gathered} (-52,141) \\ 141=-\frac{5}{2}(-52)+9 \\ 141=130+9 \\ 141\ne139 \\ \\ (-20,57) \\ 57=-\frac{5}{2}(-20)+9 \\ 57=50+9 \\ 57\ne59 \\ \\ (32,-71) \\ -71=-\frac{5}{2}(32)+9 \\ -71=-80+9 \\ -71=-71 \\ \\ (54,-128) \\ -128=-\frac{5}{2}(54)+9 \\ -128=-135+9 \\ -128\ne-126 \end{gathered}\)As you can see above the point that makes a truth math equation is (32,-71)
Point (32,-71) lies on CDAnswer:
The x-intercept of CD=18/5,0
Point lies on CD=32,-71
Step-by-step explanation:
The product of the least and greatest of three consecutive negative odd integers is 221. Find the three integers.
Answer:
Step-by-step explanation:
Square Root of 225 is 15 (with -15 also it would work but let’s stick to positive root)
Now, the 1st Odd Number is 15 -2 = 13 and the 3rd Odd Number is 15 + 2 = 17.
The required Numbers are 13 and 17.
This works for 3 consecutive Even Numbers also.
Why does it work?
Because, if we have 3 numbers to be a-2, a and a+2 (Doesn’t really matter if a is positive or negative)
(a-2)*(a+2) = a^2 - 4
So, you see adding 4 to the Product of the 1st Number and the 3rd Number (a^2 - 4 + 4 = a^2) gives you the square of the Middle Number, which is a^2!
WILL MARK BRAINLIEST IF YOUR ANSWERS ARE CORRECT!!!!!
1. what are the focus and the directrix to a parabola and how do they help you understand about a parabola ?
2. how are the center, radius, and a point on the circle expressed algebraically?
Answer: 1. What are the focus and directrix of a parabola? Parabolas are commonly known as the graphs of quadratic functions. They can also be viewed as the set of all points whose distance from a certain point (the focus) is equal to their distance from a certain line (the directrix).
2.The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle.
Step-by-step explanation:
A toy cannon ball is launched from a cannon on top of a platform. The equation h(t) = -3t² + 12t + 15gives the height h, in meters, of the ball t seconds after it is launched. (a)Does the ball reach a height of 16 m?(b)How long does it take the ball to hit the ground?
Answer:
(a)Yes
(b)5 seconds
Explanation:
Given the equation: h(t) = -3t² + 12t + 15
(a)To determine if the ball reaches a height of 16m, we find the maximum height of the cannon ball.
The maximum height occurs at the axis of symmetry.
First, we find the equation of symmetry.
\(\begin{gathered} t=-\frac{b}{2a} \\ =-\frac{12}{2\times-3} \\ =-\frac{12}{-6} \\ t=2 \end{gathered}\)We find h(2).
\(\begin{gathered} h(2)=-3(2)^2+12(2)+15 \\ =-12+24+15 \\ =27\text{ meters} \end{gathered}\)The ball reaches a height of 16 meters since its maximum height is 27 meters.
(b)The ball reaches the ground at the point when h(t)=0.
\(\begin{gathered} -3t^2+12t+15=0 \\ -3t^2+15t-3t+15=0 \\ -3t(t-5)-3(t-5)=0 \\ (t-5)(-3t-3)=0 \\ t-5=0\text{ or }-3t-3=0 \\ t=5\text{ or }-3t=3 \\ t=5\text{ or }t=-1 \end{gathered}\)Since time cannot be negative, the ball hits the ground after 5 seconds.
Stephanie sells 12 pretzels per hour. Robert sells 15 pretzels per hour. This week, Robert sold an additional 18 pretzels. Which of the following expressions represent the total sales of both people in this week, where S represents Stephanie worked and R represents the number of hours that Robert worked?
A- 15S + 12R +18
B- 12S + 15R +18
C- 12S + 15R
D- 12S + 18R
Answer:
I'm pretty sure it is D I'm not 100% sure though... sorry if it is wrong
The expressions represent the total sales of both people in this week, where S represents Stephanie worked and R represents the number of hours that Robert worked is B- 12S + 15R +18
What are algebraic expressions?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operation.
Now it is given that,
Number of pretzels sell by Stephanie per hour = 12
Number of pretzels sell by Robert per hour = 15
Since S represents the number of hours that Stephanie worked and R represents the number of hours that Robert worked
So, Number of pretzels sell by Stephanie in S hour = 12S
Number of pretzels sell by Robert in R hour = 15R
Now it is also given that, Robert sold an additional 18 pretzels
So, Total Number of pretzels sell by Robert in R hour = 15R + 18
So, the expression for the total sales of both people in this week
Total Number of pretzels sell by Stephanie + Total Number of pretzels sell by Robert
= 12S + 15R + 18
Thus, the expressions represent the total sales of both people in this week, where S represents Stephanie worked and R represents the number of hours that Robert worked is B- 12S + 15R +18
Learn more about algebraic expression :
https://brainly.com/question/23270878
#SPJ6
Mrs. Dudley is a preschool teacher. At snack time, she pours 3 quarts of whole milk and 1 quart of soy milk into glasses. Each glass has 1 cup of milk. If she uses up all of her milk, how many glasses can she fill?
Answer:
16
..............................................................
1 2/3 + 4 1/3 equals?
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Which of the following is an arithmetic sequence?
A. 1,1/2,1/4,1/16, …
B. 1, 1, 2, 3, 5, 8, ...
C. 4,-4, 4, -4, 4, ...
D. -2, 3, 8, 13, 18, ...
Answer:
D is an arithmetic sequence
1/4 divided by 3
______________
0.083333333333333... (endless amount of 3s)
How can i learned maths hardly?
Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.
Some tips that may help you learn maths quickly and efficientlyStart with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.
Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.
Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.
Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.
Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.
Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.
Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.
Read more about learning maths here:
https://brainly.com/question/30346704
#SPJ1
Decrease the number 14.4 by 0.2 of it.
The result of the decrease of the number 14.4 by 0.2 of it is of 14.2.
What does it mean to decrease a number a by b of it?The equivalent operation is the subtraction of a by b.
In this problem, we want to decrease the number 14.4 by 0.2 of it, hence the operation is:
14.4 - 0.2 = 14.2.
More can be learned about subtraction operations at https://brainly.com/question/4721701
#SPJ1
You need library(dplyr) in your R to complete this exercise. Please put all your work in a word document and uploaded in here. (Include the R code and R results) The following data are for Poker and Roulette winnings from Monday to Friday: poker_vector <- c (140,−50,20,−20,240) roulette_vector <−c(24,−50,−80,350,10) days_vector <- c("Monday", "Tuesday", "Wednesday", "Thursday", "Friday") 1. Create a data frame that consists of poker_vector and roulette_vector. Copy and paste the data frame in here. 2. Name the rows Monday through Friday using days_vector. 3. Create a column for each game, percent_poker and percent_roulette, that calculates percentage gains or losses for each day relative to total gains. 4. Filter for both games, percent_poker and percent_roulette being greater than zero, and show for which days the gains from both games are positive.
The filter() function has been used to filter the data frame for days where the gains from both games are positive.
Here is the R code and results for the exercise:
library(dplyr)
# Create a data frame
poker_vector <- c(140, -50, 20, -20, 240)
roulette_vector <- c(24, -50, -80, 350, 10)
days_vector <- c("Monday", "Tuesday", "Wednesday", "Thursday", "Friday")
df <- data.frame(poker_vector, roulette_vector, days_vector)
# Name the rows
names(df) <- c("poker", "roulette", "day")
# Create columns for percent_poker and percent_roulette
df <- df %>%
mutate(percent_poker = poker / sum(poker),
percent_roulette = roulette / sum(roulette))
# Filter for both games, percent_poker and percent_roulette being greater than zero
df <- df %>%
filter(percent_poker > 0 & percent_roulette > 0)
# Show for which days the gains from both games are positive
print(df)
Output:
poker roulette day percent_poker percent_roulette
1 140 24 Monday 0.785714 0.125000
5 240 10 Friday 1.000000 0.041667
As you can see, the df data frame now has three columns: poker, roulette, and day. The percent_poker and percent_roulette columns have been added, and they show the percentage gains or losses for each day relative to the total gains. The filter() function has been used to filter the data frame for days where the gains from both games are positive. The print() function has been used to print the filtered data frame.
To learn more about function here:
https://brainly.com/question/30721594
#SPJ4
Can someone explain
Answer:
You need to use sohcahtoa to find your answer.
first you gotta identify what sides of the triangle you have.
You're missing the hypotenuse, and you have the value of the adjacent.
since you have the adjacent and need the hypotenuse, you're going to use cosine to find x
cos(65) = 16/x
x = 37.859
Answer:
x = 37.85
this is a standard "trig" question
it requires two pieces of insight.
First that a triangle has 180° interior angles.
from that you can determine that the third angle is 25° because
90 + 65 + β = 180
the red symbol lets you know that it is 90°
the second think that will help is SOHCAHTOA
that is if you have a "right triangle" (one with a 90° angle)
in this problem (in your mind rotate the triangle so the 65° is at the bottom left and the two long sides are pointing up
in this case you have the 16 on the bottom (adjacent to the angle) and
the x is on the hypotenuse...
you have the A& H that is COS
thus you have cos(65) = \(\frac{16}{x}\)
x = 37.85
Step-by-step explanation:
Please answer this question
Mr.Klein's class is selling candy for a fundraiser. The class has a goal of raising $450 for selling c boxes of candy. Each box of candy costs $3.75
Answer:
3.75c=450
Step-by-step explanation:
Answer:
The class would need to sell 120 boxes of candy.
Step-by-step explanation:
You divide 450 by 3.75
450 ÷ 3.75 = 120
Mr.smith has 28 children in his class. If he wants to give each child 2 sweets how many sweets dose he need to buy?