we know that
when solving a system of equations by graphing, the solution is the intersection point
In this problem
Looking at the graph the intersection point is
(-3,8)
therefore
the solution is
x=-3 and y=8Consider the following system that has a solution of (5,3).
Answer:
Option pls
Step-by-step explanation:
Answer:Solution. (a) The system has no solutions if k 2 6= 3 , i.e. k 6= 6 . (b) The system has no unique solution for any value of k. (c) The system has infinitely many solution if k = 6. The general solution is given by x 1 = 3+t,x 2 = t Exercise 52 Find a linear equation in the unknowns x 1 and x 2 that has a general solution x 1 = 5+2t,x 2 = t ...
Step-by-step explanation:
SO FIRST YOU GO TO GOOGLE TYPE IN YOUR ANSWER AND THEN BAM
Question 2(Multiple Choice Worth 2 points)
(Linear Functions MC)
Which of the following tables represents a linear function?
x1 1 011
y-2-1012
x0 123 4
y-320-23
x-2-10 12
y 2 0
-102
x-2-10 1 2
y 3 1
-1-3-5
Table one and table four represent a linear function.
Which of the table represents a linear function?A linear function is simply a function that represents a straight line on the coordinate plane.
For a function to be linear, the differences of the y-values must be constant.
For table 1.
Let get the differences of the y-values
-1 - (-2) = 1
0 - (-1) = 1
1 - 0 = 1
2 - 1 = 1
Since the differences of the y-values are all 1 ( constant ), table one is a linear function.
For table 2.
2 - (-3) = 5
0 - 2 = -2
-2 - 0 = -2
3 - (-2) = 5
Since the differences of the y-values are not the same ( constant ), table two is not a linear function.
For table 3.
0 - 2 = -2
-1 - 0 = -1
0 - (-1) = 1
2 - 0 = 2
Since the differences of the y-values are not the same ( constant ), table three is not a linear function.
For table 4.
1 - 3 = -2
-1 - 1 = -2
-3 - (-1) = -2
-5 - (-3) = -2
Since the differences of the y-values are all -2 ( constant ), table four is a linear function.
Learn more about functions here: brainly.com/question/2541698
#SPJ1
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
WILL MARK BEST ANSWER BRAINLIEST
The system of conics has two solutions.
(x-1)²+(y+4)²=25
(x-1)²/25+(y+4)²/100=1
What are the solutions to this system of conics?
Enter your answer by filling in the boxes.
(___,___) and (___,___)
The solutions to this system of conics is; x = 6 and y = -4
What is the solution to the simultaneous Equations?We are given the system of equations as;
(x - 1)² + (y + 4)² = 25 ------(eq 1)
(x - 1)²/25 + (y + 4)²/100 = 1 ------(eq 2)
From eq 1, we can make (x - 1)² the subject to get;
(x - 1)² = 25 - (y + 4)² ----(eq 3)
Plug in eq 3 into eq 2 to get;
(25 - (y + 4)²)/25 + (y + 4)²/100 = 1
Multiply through by 100 to get;
4(25 - (y + 4)²) + (y + 4)² = 100
100 - 4(y + 4)² + (y + 4)² = 100
Solving for y gives y = -4
Plug in -4 for y into eq 1 to get;
(x - 1)² + (-4 + 4)² = 25
√(x - 1)² = √25
x - 1 = 5
x = 6
Now, a conic section is defined as the curve which is the intersection of cone and plane. There are three primary conic sections namely parabola, hyperbola, and ellipse. Thus, the solutions are x = 6 and y = -4.
Read more about Simultaneous Equation at; https://brainly.com/question/16863577
#SPJ1
Select all the correct answers. Which expressions represent a difference of squares?
Answer:
25x2-36
1-16x2
Step-by-step explanation:
Which value of c is in the domain of f(x)
The value of c in the domain of f(x) depends on the specific function f(x) and its domain.
In order to determine which value of c is in the domain of f(x), we need to know the function f(x) and its domain. A domain is the set of all possible input values of a function.
If a value of c is in the domain of f(x), then we can plug it into the function and get a valid output.
In general, a function f(x) can have a restricted domain due to certain conditions or limitations. For example, a square root function cannot have negative values under the radical because that would result in an imaginary number.
Thus, the domain of a square root function is restricted to non-negative values.
In order to find the domain of a function, we need to consider any restrictions on the input values. For example, if we have the function f(x) = 1/x, we cannot plug in x = 0 because that would result in division by zero, which is undefined.
Therefore, the domain of f(x) is all real numbers except 0. We can write this as D(f) = {x : x ≠ 0}.Once we know the domain of f(x), we can check which value of c is in the domain by seeing if it satisfies the condition.
For example, if the domain of f(x) is D(f) = {x : x > 2}, then c = 3 is in the domain because 3 is greater than 2. On the other hand, c = 1 is not in the domain because 1 is less than 2.
Therefore, the value of c in the domain of f(x) depends on the specific function f(x) and its domain.
For more such questions on domain
https://brainly.com/question/2264373
#SPJ8
Write an equation of the line with the given slope and y-intercept: m = -5,b=4
a. y = -5x + 4
b. y = 5x + 4
c. y= -57-4
d. y = 5x-4
Please select the best answer from the choices provided
Answer:
A.
I hope this will be useful
I need help to find the coordinates
7. Lin is reading a 146-page book. She read the first 20 pages in 35 minutes. 1 point How many minutes does it take her to finish reading the book?
Answer:
255.5 minutes or 255 minutes and 30 seconds
Step-by-step explanation:
146 pages/ x minutes
20 pages/ 35 minutes
All you have to do is cross-multiply to find the answer.
146x35= 5110
5110/20=x
5110/20= 255.5
x= 255.5
Duke Snyder hit 43 home runs during the 1956 MLB season. How many home runs would a player need to hit in 2001 to claim they were as dominant as Duke Snyder was during his 1956 season?
A player would need to hit approximately 126 home runs in 2001 to be as dominant as Duke Snyder was in 1956.
To determine how many home runs a player would need to hit in 2001 to be as dominant as Duke Snyder in 1956, we need to compare the number of home runs Duke Snyder hit relative to the rest of the league. In 1956, the National League hit a total of 1,043 home runs.
Therefore, Duke Snyder's home runs represented approximately 4.12% (43/1043) of all home runs hit in the National League that year.
In 2001, the American League hit a total of 3,053 home runs. To determine how many home runs a player would need to hit in 2001 to be as dominant as Duke Snyder in 1956, we can use the same percentage of total home runs hit in the league.
4.12% of 3,053 is approximately 126 home runs (0.0412 x 3,053 ≈ 126).
To learn more about count click on,
https://brainly.com/question/1715297
#SPJ1
Complete question is:
Duke Snyder hit 43 home runs during the 1956 MLB season. If National League hit 1,043 home runs in 1956 and American League 3,053 home runs in 2001. How many home runs would a player need to hit in 2001 to claim they were as dominant as Duke Snyder was during his 1956 season?
According to an airline, flights on a certain route are on time 85% of the time. Suppose 20 flights are randomly selected and the number of on-time flights is recorded.
(a) Explain why this is a binomial experiment
(b) Find and interpret the probabdity that exadly 15 flights are on time.
(c) Find and interpret the probability that fewer than 15 flights are on time.
(d) Find and interpret the probability that at least 15 flights are on time.
(e) Find and interpret the probability that between 13 and 15 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
A. Each trial depends on the previous trial
B. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
C. The experiment is performed unti a desired number of successes is reached
D. The trials are independent.
E. The probability of success is the same for each trial of the experiment.
F. There are two mutually exclusive outcomes, success or failure.
G. The experiment is performed a fixed number of times.
Answer:
See the answers below. Thanks!
Step-by-step explanation:
(a). Option F is the correct choice. "There are two mutually exclusive outcomes, success or failure."
(b). P(X=15) = 0.1702
(c). P(X<15) = 0.0673
(d). P(X>=15) = 1 - P(X<15) = 0.9327
(e). P(13<=X<=15) = 0.1482
Best Regards!
i was doing this task in math and I came across this: x-12x=0.88x . can someone plz explain why is this equal to this? I understand it's simplified, but how?
1x-12x=0.88x
1x-12x=0.88x
11x=0.88x
-11x=0.88x-0.88x
-11.88x=0x
-11.88x=0
Isolate x
Fully factorise the following expression in a suitable factor form x^2+6x+8
(x+2 (x+4)
I factored using the AC method.
Which relationship represents a function with a greater rate
of change than the function graphed?
The relationship that represents a function with a greater rate of change than the function graphed is given as follows:
A. y = 4x - 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The slope represents the average rate of change of a linear function.
From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:
m = -2.
For function A, the function is defined as follows:
y = 4x + 3.
Hence the rate of change is given as follows:
m = 4, which is greater than -2.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
Solve. -23 = -2a -10 + a
Answer:
13
Step-by-step explanation:
1. Collect like-terms
-23=-a-10
2.Isolate variable
-13=-a
a=13
Answer:
A=13
Step-by-step explanation:
-23=-2a-10+a
add 10 to -23 which is now
-13=-2a+a
now add -2a and a together to get -1a
-13=-1a
divide -1 into both sides to get
13=a
One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
For more such question on brand. visit :
https://brainly.com/question/29129317
#SPJ8
Write an inequality to represent the situation.
six times a number and three is at least forty-two
six times a number and three is at most forty-two
six times a number and three is less than forty-two
six times a number and three is more than forty-two
6(n + 3) ≤ 42
6(n + 3) ≥ 42
6(n+3) > 42
6(n + 3) < 42
The inequality that represent each situations are:
a. 6(n + 3) ≥ 42.
b. 6(n + 3) ≤ 42
c. 6(n + 3) < 42
d. 6(n+3) > 42.
How to Write an Inequality for a Situation?To write the inequality for each of the situations, translate each statement into algebraic expressions and use the appropriate inequality sign where necessary.
Thus, let the unknown number be represented as n.
a. The statement, "at least 42" means not less 42, which is the same as "greater than or equal to 42".
Therefore, the first statement is represented by the inequality, 6(n + 3) ≥ 42.
b. "6 times n and 3 is at most 42" is written as, 6(n + 3) ≤ 42
c. "6 times n and 3 is less than 42" would be translated as: 6(n + 3) < 42
d. "6 times n and 3 is more than 42" would be, 6(n+3) > 42.
Learn more about inequality on:
https://brainly.com/question/24372553
#SPJ1
Step-by-step explanation:
6(n+3)>42
this is your answer
arlynn
Question:-
The area of two similar triangles are 81 cm2 and 49 cm² respectively. If one of the sides of the first triangle is 6.3 cm, find the corresponding side of the other triangle.
Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
To find \(\displaystyle\sf x\), we can solve the proportion above:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
Taking the square root of both sides:
\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)
Simplifying the square root:
\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)
Cross-multiplying:
\(\displaystyle\sf 9x = 6.3 \times 7\)
Dividing both sides by 9:
\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)
Calculating the value:
\(\displaystyle\sf x = 4.9\)
Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer:
Step-by-step explanation:
let's assume that the corresponding side of the second triangle is .
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
To find , we can solve the proportion above:
Taking the square root of both sides:
Simplifying the square root:
Cross-multiplying:
Dividing both sides by 9:
Calculating the value:
Therefore, the corresponding side of the second triangle is 4.9cm
hope it helped u dear...........
Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.
f(x)= 1= ² + 4
X-4
To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:
\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)
To simplify this expression, we can expand the square:
\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)
Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)
Next, let's find g(f(x)). We substitute f(x) into the function g(x):
\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)
Hence, g(f(x)) simplifies to 1/x^2.
In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.
For more such questions on functions
https://brainly.com/question/10439235
#SPJ8
Erica took her car in for repairs. The repair shop told her that the cost to fix her car would be more than $345. If she paid $134 up front, how much more money will Erica need to pay?
5) The line that goes through the points (-1,5) and (3,3)
Answer:
y = -1/2x +9/2
Step-by-step explanation:
find two whole numbers that are closer to√22
Let the whole numbers be x and y
let us find root 22
\(\sqrt[]{22\text{ }}\text{ can be expressed as }\sqrt[]{11}\text{ x }\sqrt[]{2}\)\(\begin{gathered} \sqrt[]{11}\text{ = 3.36 } \\ \sqrt[]{2}\text{ = }1.414 \end{gathered}\)= 3.36 x 1.414
= 4.75
the whole numbers that are closed to squareroot of 22 are 1 and 3
the answer is 1 and 3
when you round up the values for root 2 and 11 respectively, you have 1 and 3
surface area.... again
Answer:
1848 square inches
Step-by-step explanation:
surface area is the combined area of all the outside surfaces.
area of triangle is base x height / 2
There are two, so no need to divide
18 x 12 = 216
Area of rectangle is base x height
15 x 34 + 15 x 34 + 18 x 34 = 1632
Then add
216 + 1632 = 1848
nt
ard
Quiz 3.1 & 3.2
es
3
1
3.11 can write an explicit arithmetic rule
A gym charges a $50 registration fee (this is a one-time fee you
have to pay in order to join the gym), and a monthly fee of $8.
1 poir
OS
D1
Write al
dar
2
f(x)
D
3
t
X
Answer:
\(f(x) = 50 + 8x\)
Step-by-step explanation:
Given
\(Registration\ Fee = \$50\)
\(Monthly\ Fee = \$8\)
Required
Determine an expression for the given parameters
Represent this expression with f(x) where x represents the number of months
f(x) would be:
\(f(x) = Registration\ Fee + Monthly\ Fee * x\)
\(f(x) = 50 + 8 * x\)
\(f(x) = 50 + 8x\)
If you share seven apples equally with three people, there are 2 1/3 first complete the sentence then briefly explain what a whole number to the denominator of three and the numerator one mean in this problem
The meaning is that "If you share seven apples equally with three people, there are 2 1/3 apples for each person."
How to explain the fraction with a denominator of 3In this context, a "whole number to the denominator of three and the numerator one" refers to the fact that when the seven apples are divided equally among the three people, each person receives a whole number of apples, plus a fraction.
The denominator of the fraction is three because there are three people sharing the apples,
Tthe numerator of the fraction is one because each person receives one of the three equal parts.
The fraction 1/3 represents the amount of the seventh apple that each person receives. So, each person receives 2 whole apples and 1/3 of another apple, for a total of 2 1/3 apples.
Read more about fraction at
https://brainly.com/question/1330447
#SPJ1
A company that manufactures laptop batteries claims the mean battery life is 16 hours. Assuming the distribution of battery life is approximately normal, a consumer group will conduct a hypothesis test to investigate whether the battery life is less than 16 hours. The group selected a random sample of 14 of the batteries and found an average life of 15.6 hours with a standard deviation of 0.8 hour.
Which of the following is the correct test statistic for the hypothesis test?
A. t=15.6−160.8
B. t=16−15.60.8
C. t=15.6−160.813
D. t=15.6−160.814
E. t=16−15.60.814
Answer:
The correct test statistic for the hypothesis test is \(t = -1.87\)
Step-by-step explanation:
The null hypothesis is:
\(H_{0} = 16\)
The alternate hypotesis is:
\(H_{1} < 16\)
The test statistic is:
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
In this question:
\(X = 15.6, \mu = 16, s = 0.8, n = 14\)
So
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{15.6 - 16}{\frac{0.8}{\sqrt{14}}}\)
\(t = -1.87\)
The correct test statistic for the hypothesis test is \(t = -1.87\)
Hypothesis test used to check the results of the experiments gives true for the meaningful results.. The correct test statistic for the hypothesis test is -1.871.
Given information-
The mean battery life of the laptop is 16 hours claimed by the company.
The random sample for the test is 14.
Average life of the batteries found out as 15.6 hours.
The deviation for this result is 0.8 hours.
What is hypothesis test?Hypothesis test used to check the results of the experiments gives true for the meaningful results.
As the mean battery life of the laptop is 16 hours claimed by the company.The null hypothesis for the given problem is,
\(H_o\mu=16\)
As average life of the batteries found out as 15.6 hours. Thus the alternate hypothesis for the given problem is,
\(H_1\mu<16\)
One sample t test can be found using the below formula,
\(t=\dfrac{\overline x -\mu_o}{\dfrac{s}{\sqrt{n} } }\)
Here, \(\overline x\) is mean value, \(n\) is the number of random sample and \(s\) is the deviation.
Put the values,
\(t=\dfrac{15.6 -16}{\dfrac{0.8}{\sqrt{14} } }\\t=-1.871\)
Thus the correct test statistic for the hypothesis test is -1.871.
Learn more about the hypothesis here;
https://brainly.com/question/2695653
Need Help ASAP. Thank you :)
The value of x, considering the consecutive interior angles in this problem, is given as follows:
x = 30.
What are consecutive interior angles?We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.
Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:
3x - 8 + 4x - 22 = 180
7x - 30 = 180
7x = 210
x = 210/7
x = 30.
More can be learned about angle measures at brainly.com/question/24607467
#SPJ1
easy question if your having big problem
Answer:
whats the problem
Step-by-step explanation:
Answer:
yup
Step-by-step explanation:
PLS HELP WILL GIVE BRAINIEST these figures are congruent
Answer:
C
Step-by-step explanation:
Answer is C, only need to move it up and to the right through translation.
Evaluate.
-3+ (9+6) : (-3)
o 4
0-2
0 - 4
оо
1
2.
3
4
5
6
7
Answer:
-8
Step-by-step explanation:
brackets first division second and addition third
The correct solution of the expression -3 + (9+6) ÷ (-3) is,
⇒ - 7
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ -3 + (9 + 6) ÷ ( -3 )
Now, We can simplify the expression by using BODMAS rule as;
⇒ - 3 + (9 + 6) ÷ ( -3 )
⇒ - 3 + 12 ÷ (- 3)
⇒ - 3 - 4
⇒ - 7
Thus, The correct solution of the expression -3 + (9+6) ÷ (-3) is,
⇒ - 7
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7