Determine if the following system of equations has no solution , infinitely many solutions or exactly one solution .A = Infinitely Many Solutions B = One Solution C = No solutions
Answers
PROBLEM
x + 2y = -6
4x + 6y = -26
METHOD
Use substitution method
x + 2y = - 6 ........................................... 1
4x + 6y = -26 ......................................... 2
make x from equation 1 as subject of formula
x + 2y = -6
x = -6 - 2y
substitute x in equation 2
4(-6 - 2y) + 6y = -26
-24 - 8y + 6y = -26
-2y = -26 + 24
-2y = -2
y = -2/-2
y = 1
Now, solve for x
x = -6 - 2y
x = -6 -2(1)
x = -6 - 2
x = -8
( -8, 1) the system of equation has ONE SOLUTION
Related Questions
ECONOMICS The Jones Corporation estimates that its annual profit could be modeled by y=10(0.99)t, while the Davis Company’s annual profit is modelled by y=8(1.01)t.
For both equations, profit is given in millions of dollars, and t is the number of years since 2015.
a. Find each company’s estimated annual profit for the years 2015 and 2025 to the nearest dollar.
Answers
The estimated profits for each company are given as follows:
Jones Corporation:
2015: 10 million dollars.2025: $9,084,821.Davis Company:
2015: 8 million dollars.2025: $8,836,977.How to obtain the estimated profit?The function that defines the profit for Jones Corporation is an exponential function defined as follows:
y = 10(0.99)^t
In which t is the number of years since 2015, while the profit is measured in millions of dollars.
Thus the coefficient a = 10 means that the estimated profit for the year of 2015 is of 10 million dollars.
For the year of 2025, that is, 10 years after 2015, the estimate is calculated as follows:
y = 10(0.99)^10 = 9.084821 = $9,084,821.
For Davis Company, the profit function is given as follows:
y = 8(1.01)^t.
Hence the profits are modeled as follows:
2015: 8 million dollars.2025: 8 x (1.01)^10 = $8,836,977.More can be learned about exponential functions at https://brainly.com/question/25537936
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Shen the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were clients who did Plan A and who did Plan B. On Thursday there were clients who did Plan A and who did Plan B. Shen trained his Wednesday clients for a total of hours and his Thursday clients for a total of hours. How long does each of the workout plans last?
Answers
The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B = 0.5 hours.
What would be the length of the sessions?The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:
2A + 12B = 9 hours
On Thursday, we would have
5A + 3B = 9 hours
2A + 12B = 9 Eqn 1
5A + 3B = 9 Eqn 2
Multiply equation 2 by -4
2A + 12B = 9
-20A - 12B = -36
2A - 20A = 9 -36
-18A = -27
Divide both sides by -18
A = 1.5 hours
For B, substitute A in the first equation
2(1.5) + 12B = 9
3 + 12B = 9
12B = 9 - 3
12B = 6
Divide both sides by 12
B = 0.5
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Complete Question:
Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?
Melanie placed 5 packs of fruit squishes in a picnic basket. Find the
weight (in ounces) of all the packs, if each pack weighs 15.75 ounces
Answers
Answer:
Your answer is 78.75 oz.
Step-by-step explanation:
15.75 * 5 = 78.5 oz.
Hope this helps.
Answer:
78.75 oz
Step-by-step explanation:
okay I'm not sure, but I think the question is each pack weighs 15.75 how many does it weigh in all like all 5 packs if so all you have to do is do multiplication 15.75 and 5 (15.75 to represent what each pack weigh) ( and 5 to represent each pack) to get the answer of 78.75 in total.
hope i helped
Find x in the given figure.
Answers
So let’s calculate “6”: 180° - 55° = 125°
Therefore x = 125°
Which value below is included in the solution set for the inequality statement? -3(x-4) > 6(x-1) 0-1 02 07 0 3 NEXT QUESTION ASK FOR HELP
Answers
The solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.
To determine which value is included in the solution set for the inequality statement -3(x-4) > 6(x-1), we need to solve the inequality for x.
Starting with the given inequality:
-3(x - 4) > 6(x - 1)
First, distribute -3 and 6 to the terms inside the parentheses:
-3x + 12 > 6x - 6
Next, combine like terms by subtracting 6x from both sides and adding 6 to both sides:
-3x - 6x > -6 - 12
-9x > -18
To isolate x, divide both sides of the inequality by -9. Remember that when dividing by a negative number, we need to reverse the inequality sign:
x < (-18) / (-9)
x < 2
Therefore, the solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.
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Find x and y in terms of a and b.
Sax + by = 0
x + y = 2
(x, y) =
(a + b)
Answers
From the second equation, we have y = 2 - x.
Substituting this into the first equation, we get:
Sax + b(2 - x) = 0
Expanding this equation, we get:
Sax + 2b - bx = 0
Rearranging the terms, we get:
x(Sa - b) = 2b
Dividing both sides by (Sa - b), we get:
x = 2b/(Sa - b)
Substituting this value of x into the second equation, we get:
2b/(Sa - b) + y = 2
Substituting y = 2 - x, we get:
2b/(Sa - b) + (2 - 2b/(Sa - b)) = 2
Simplifying this equation, we get:
4b/(Sa - b) = 2
Multiplying both sides by (Sa - b)/2, we get:
2b = (Sa - b)
Simplifying this equation, we get:
b = a/2
Substituting this value of b into the equation for x, we get:
x = 2b/(Sa - b) = 2(a/2)/(Sa - a/2) = a/(2S - 1)
Substituting these values of x and y into the given point (x, y) = (a + b), we get:
(a/(2S - 1), 2 - a/(2S - 1)) = (a + a/2, a/2)
Therefore, the solution is:
x = a/(2S - 1) and y = 2 - a/(2S - 1).
Solve The Equation
-1.9 = 0.5(p +1.7)
Whoever answer first gets brainliest!
Answers
Answer:
p=-5.5Step-by-step explanation:
To solve this equation, use the distributive property. Isolate the difference between the numbers from one side of the equation.
Distributive property:
A(B+C)=AB+AC
-1.9 = 0.5(p +1.7)
First, switch sides.
0.5(p+1.7)=-1.9
Divide by 0.5 from both sides.
\(\sf{\dfrac{0.5\left(p+1.7\right)}{0.5}=\dfrac{-1.9}{0.5}}\)
Solve.
-1.9/0.5=-3.8
p+1.7=-3.8
Then, you subtract by 1.7 from both sides.
p+1.7-1.7=-3.8-1.7
Solve.
Add or subtract the numbers from left to right.
-3.8-1.7=-5.5
\(\rightarrow \boxed{\sf{p=-5.5}}\)
Therefore, the correct answer is p=-5.5.
I hope this helps, let me know if you have any questions.
The value of p on the equation - 1.9 = 0.5(p +1.7) is - 5.5.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, we have to solve for p in the equation - 1.9 = 0.5(p +1.7).
0.5(p + 1.7) = - 1.9
First, we'll distribute the terms.
0.5p + 0.85 = - 1.9.
0.5p = - 1.9 - 0.85.
0.5p = - 2.75.
p = - 2.75/0.5.
p = - 5.5
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A group of 100 students were surveyed about their interest in a new Economics major. Interest was measured in terms of high, medium, or low. In the study, 30 students responded high interest, 50 students responded medium interest, and 20 students responded low interest. What is the best way to illustrate the percentage of student interest
Answers
Answer:
Pie chart
Step-by-step explanation:
Pie Chart - This physically portrays information as a decimal number of a whole, and may be a powerful authentication scheme for the uninformed public. It helps the viewer to see a collection of results at a glance in order to do an instant review or easily interpret details.
What is this called ........................
Answers
Answer:
C
Step-by-step explanation:
Alternate interior angles are next to each other. Sorry if im wrong.
Pls help with these
Answers
Answer:
(0,-11)
(1,-2)
(2,1)
(3,-2)
(4-11)
Carlos read 150 words in one minute. He
read 5 times as many words as his younger
brother. How many words did his younger brother
read in one minute?
Answers
Answer:
30
Step-by-step explanation:
150/5 = 30
Answer: 30
Step-by-step explanation:
Find m<6. SHOW WORK!!!
Answers
Step-by-step explanation:
1 = 138 since they are opposite each other.
2 = 138 as well because of the 'Z'
5 is equal to 138 as it is opposite 2
5+6 = 180
6 = 180 -5
6= 180 -138
6= 42
Question 2 (10 points) (02.05 MC) Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid. Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points) Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points) Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answers
Answer: From R:(c, d), draw line segment RA perpendicular to the x-axis. Let O denote the origin (0,0).
area ΔPQR = area trapezoid OPRA- area ΔQAR - area ΔOPQ
=
2
1
c(a+d) -
2
1
d(c−b)-
2
1
ab=
2
1
(ac+bd−ab).
If c area ΔPQR = area trapezoid OPRA + area Δ QAR - areaΔOPQ=
2
1
c(a+d)
2
1
d(b−c)−
2
1
ab=
2
1
(ac+bd−ab).
Step-by-step explanation: done
HELP ME OUT PLS!!!!!!
Answers
Answer:
The measure of angle 7 is 34 degrees.
Step-by-step explanation:
Since a || b, angles 3 and 7 are corresponding angles which are congruent. Therefore, since the measure of angle 3 is 34 degrees, the measure of angle 7 is 34 degrees.
HELP PEOPLE PLEASE PLEASE PLEASE BRAINIEST IF RIGHT ONLY IF RIGHT DO NOT, I REPEAT DO NOT ANSWER IF YOU DONT KNOW OK THANK YOU HURRY! BTW DUE TODAY PLEASE PLEASE PLEASE PLEASE
Determine which set of side measurements could be used to form a right triangle.
square root of 2, square root of 3, 5
square root of 2, 3, square root of 11
7, 9, 11
5, 10, 14
Answers
Answer:
Option 2
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem.
Write the decimal equivalent
Nine and sixteen hundredths
Answers
Answer:
9.16
Step-by-step explanation:
It's hundreds so you have to move the decimal place two times
Step-by-step explanation:
Nine and sixteen hundredths is equivalent to 9.16 in decimal form
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
Answers
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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-2 times (-2) divided by ( 1/4) times 5
Answers
Answer:
80
Step-by-step explanation:
[-2(-2)/(1/4)] x 5 = 80
How do you convert 72 kilograms to pounds? show the mathmatical steps
Answers
1 kilogram = 2.20462 pounds
To convert 72 kilograms to pounds, you can multiply 72 by 2.20462 as follows:
72 kilograms = 72 x 2.20462 pounds
72 kilograms = 158.73264 pounds (rounded to five decimal places)
Therefore, 72 kilograms is equal to approximately 158.73264 pounds.
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HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answers
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
select all expressions that are not equivalent to 12(12r + 12) - 6(2r - 3r + 8)
Answers
Find the slope of the line that contains the following points.
(18, –7) and (18, 2)
Answers
Answer:
Step-by-step explanation:
.
12*100 please do it im in a hurry
Answers
Answer: 1200
Step-by-step explanation:
12*100 = 1200
Add the two 0’s in 100 to the end of 12 and get 1200
gillan read 3,135 words in 19 minutes let w represent the number of words read each minute if gillian read the same number of words each minute how many words did she read in 1 minute?
Answers
The number of words Gillan can read in 1 minute is, 165
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Gillan read 3,135 words in 19 minutes
The number of words read each minute = w
Now, it has given,
Total words = 3135
Time taken = 19 minutes
For words per minute,
we need to take ratio of total words and total time taken,
Ratio = Total words/Time taken
= 3135/19
= 165
Hence, the number of words in 1 minute is 165
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Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)
Answers
The frequency which is to filled in the table is 1, 4, 2 and 4.
Given that;
All shopping time of ten shopkeeper:
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.
Since, Shopping time is given as ,
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
And, Intervals for which frequency is given is ,
18 to 22, 23 to 27, 28 to 32, 33 to 37.
Hence, WE get;
Numbers in the range 18 to 22 = 18 therefore 1
Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4
Numbers in the range 28 to 32 = 29, 28 therefore 2
Numbers in the range 33 to 37 = 36, 33, 37, therefore 3
Hence, the frequency which is to filled are 1, 4, 2 and 4.
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Find c such that (-5, -3), (10, 1), and (c, -9) lie on a line.
Answers
well, we know all three points are colinear, so the slope from the first two points is the same slope from either to the (c , -9) point, let's check the slope of the first two points given
\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{1})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{(-5)}}} \implies \cfrac{1 +3}{10 +5}\implies \cfrac{4}{15}\)
so then, the slope from say hmmmm let's use (-5 , -3), the slope from (-5 , -3) and (c , -9) must also be the same 4/15
\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{c}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{c}-\underset{x_1}{(-5)}}} \implies \hspace{5em}\cfrac{-9 +3}{c +5}~~ = ~~\stackrel{slope}{\cfrac{4}{15}}\implies \cfrac{-6}{c+5}=\cfrac{4}{15} \\\\\\ -90=4c+20\implies -110=4c\implies \cfrac{-110}{4}=c\implies -\cfrac{55}{2}=c\)
I need help ASAP pls
Answers
/ = 4/3
Complete the graduated commission problem: You earn 20%
commission on the first $500 of sales, 25% commission on the next
$1000 of sales, and 30% commission on all sales over $1500. If you sold
$1940, what is your total commission?
Answers
Answer: I'll give you both the percentage and dollar amount. 75% = $144
Step-by-step explanation: first, I added up all the percentages to total 75%. then I took the total sales, and divided that by .75 (75% in decimal form), so:
1940 x .75 = 1455
1940 - 1455 = 144
Cooper's father is 120% of Cooper's height of his father measures 180 cm, how tall is Cooper?
Answers
Answer:
Cooper's height is 150 cm
Step-by-step explanation:
To find this answer you can divide 180 by 1.2 (1.2 is 120% in decimal form)
Hope that helps!
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answers
Answer:
Step-by-step explanation:
