What is the graph of x = -5?
Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and through the x axis at 6. The other line passes through the y axis at negative 3 and the x axis at 1.5. The lines intersect at the point 3 comma 3. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at 6. The other line passes through the y axis at 3 and the x axis at negative 1.5. The lines intersect at 1 comma 5. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at negative 3 and the x axis at negative 1.5. The lines intersect at negative 3 and 3. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at 3 and the x axis at 1.5. The lines intersect at negative 1 comma 5.
The point of intersection of the lines y = −x + 6 and y = 2x − 3 is (3, 3)
Linear function
A linear function is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept.
Given the equations:
y = −x + 6 (1)
y = 2x − 3 (2)
Solving the equations 1 and 2 simultaneously gives:
x = 3, y = 3
The point of intersection of the lines y = −x + 6 and y = 2x − 3 is (3, 3)
Find out more on Linear function at: https://brainly.com/question/2248255
The graph represents the piecewise function
Hence, we have:
f(x)= 2x-1 when x ≤ -1
x+4 when x ≥ 1
Step-by-step explanation:After looking at the graph we observe that in the region: x ≤ -1The graph is a straight line that passes through (-1,-3) and (-2,-5)
Hence, the equation of line is:
[tex]f(x)-(-3)=\dfrac{-5-(-3)}{-2-(-1)}\times (x-(-1))\\\\\\f(x)+3=\dfrac{-5+3}{-2+1}\times (x+1)\\\\\\f(x)+3=2(x+1)\\\\\\f(x)=2x+2-3\\\\\\f(x)=2x-1[/tex]
Also, in the interval x ≥ 1The graph is a straight line that passes through (1,5) and (2,6)
Hence, the equation of line is:
[tex]f(x)-5=\dfrac{6-5}{2-1}\times (x-1)\\\\\\f(x)-5=x-1\\\\\\f(x)=x-1+5\\\\\\f(x)=x+4[/tex]
Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a downward sloped line crossing the y axis at two that ends at the open point 2, 1.3, a closed point at 2, -1, and an upward sloped line starting at the open point 2, 4. Find = limit as x approaches two from the right of f of x..
"It was you who awoke me last summer out of a life-long stupid dream" write the conclusion for this quote
How to divide fractions with whole numbers
Find an equation for the nth term of the arithmetic sequence.
a15 = -53, a16 = -5
A) an = -725 - 48(n - 1)
B) an = -725 + 48(n + 1)
C) an = -725 + 48(n - 1)
D) an = -725 - 48(n + 1)
What's an equation for "Six more then twice a number is 72?"
the equation would be:
2x+6 = 72
There are 325 students in ping pong club. There are 5 girls for every 7 boys in the club. Which is the correct proportion that can be used to determine the number of girls in the club?
To find the number of girls in the club, you can set up a proportion using the given information. Cross-multiply the proportion and solve for the number of girls. The approximate number of girls in the club is 232.
Explanation:To determine the number of girls in the club, we can set up a proportion using the given information. Since there are 5 girls for every 7 boys in the club, the proportion can be written as:
Girls/Boys = 5/7
To find the number of girls, we can solve the proportion by cross-multiplying:
Girls = (5/7) * Total Number of Students
Substituting the given total number of students as 325, we can calculate the number of girls in the club as:
Girls = (5/7) * 325
Girls = 232.14
Therefore, there are approximately 232 girls in the ping pong club.Learn more about Determining the number of girls in a club here:https://brainly.com/question/21322206
#SPJ12
It takes an older employee 13 hours to shovel the snow from a sidewalk, but a younger employee can shovel the same sidewalk in 10 hours. how long will it take them to clear the walk if they work together?
Time taken by both of the older employee and younger employee is 5.6 hrs
What is Componendo-dividendo rule?Componendo-dividendo rule: A theorem based on the topic of proportions permits a faster way to carry out the calculations and cut down the count of expansions required. It is helpful in situations involving equations with fractions or rational functions. The componendo and dividendo rule are used while studying ratios and proportions. If the ratio of any two given numbers is the same as the ratio of the other 2 numbers, then the ratios of the sum total of the numerator and denominator to the difference of the numerator and denominator of the two rational numbers are equal in nature.
Given, older employee needs 13 hours to shovel the snow.
So in 1 hr the older employee will shovel = 1/13
Younger employee needs 10 hours to shovel the snow.
So in 1 hr the younger employee will shovel = 1/10
Now, when they work together
[tex]1/13+1/10 = 1/x \\(10+13)/130 = 1/x \\3/130 = 1/x\\x = 130/23 = 5.6 hrs[/tex]
Hence, the time taken by both of them together is 5.6 hrs
To know more about the componendo and dividendo rule here
https://brainly.com/question/14508634
#SPJ2
Final answer:
Two employees working together can clear the sidewalk in approximately 6 hours and 31 minutes. This is determined by finding the individual work rates, combining them, and then taking the reciprocal of the combined rate to find the total time worked together.
Explanation:
To find out how long it will take two employees to shovel snow together, we need to determine their combined work rate. The older employee takes 13 hours, and the younger employee takes 10 hours. First, we calculate each of their work rates per hour by taking the reciprocal of their time.
So, the older employee's work rate is 1/13 sidewalks per hour and the younger employee's 1/10 sidewalks per hour. To find their combined work rate, we add these two rates together:
Combined work rate = (1/13) + (1/10) = (10 + 13) / (13 × 10) = 23/130 sidewalks per hour
Now, to find the total time taken to shovel the sidewalk when working together, we take the reciprocal of the combined work rate:
Time taken working together = 1 / (23/130) = 130/23 hours
To make this more interpretable, we can convert it into a mixed number:
Time taken working together = 5 hours and (130/23 - 5 × 23/23) hours = 5 hours and 35/23 hours
We can convert 35/23 hours into minutes by multiplying by 60:
Additional minutes = (35/23) × 60 minutes = approximately 91 minutes
Therefore, the time taken working together is roughly 5 hours and 91 minutes, which simplifies to 6 hours and 31 minutes.
[tex]-2y + y - 3 = 6
[/tex]
Felicia put $175 into a CD that pays 4% interest, compounded semiannually. According to the rule of 72, approximately how long will it take for her money to double?
Answer:
the answer is 18 years
Step-by-step explanation:
i just did this on 12/8/18 good luck to cheaters
If a weighted score for a project is based on just two criteria, fit with strategy, weighted 70% and roi, weighted 30%, what would be the weighted score for a project with scores of 80 on fit with strategy and 50 on roi?
Final answer:
To calculate the weighted score for a project, apply the weights to the scores for each criterion and sum the results. The calculated weighted score for a project with scores of 80 on 'fit with strategy' (70% weight) and 50 on 'ROI' (30% weight) is 71.
Explanation:
To calculate the weighted score for a project based on the provided criteria, you need to apply the weights to the scores for each criterion and then sum the results. In this case, the criteria are 'fit with strategy' which has a weight of 70% and 'ROI' which has a weight of 30%.
The weighted score for 'fit with strategy' is calculated as follows:
(Score for 'fit with strategy' × Weight of 'fit with strategy') = (80 × 0.7) = 56.
The weighted score for 'ROI' is calculated as follows:
(Score for 'ROI' × Weight of 'ROI') = (50 × 0.3) = 15.
To find the total weighted score for the project, you add these two results together: 56 (from fit with strategy) + 15 (from ROI) = 71.
Therefore, the total weighted score for the project is 71.
Angie baked 100 cookies and 20 brownies. She wants to split them into equal groups for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make? Angie baked 100 cookies and 20 brownies. She wants to split them into equal groups for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make? Angie baked 100 cookies and 20 brownies. She wants to split them into equal groups for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make?
WILL MAKE BRAINLIEST!!! A triangular section of a lawn will be converted to river rock instead of grass. Maurice insists that the only way to find a missing side length is to use the Law of Cosines. Johanna exclaims, that only the Law of Sines will be useful. Describe a scenario where Maurice is correct, a scenario where Johanna is correct, and a scenario where both laws are able to be used. Use complete sentences and example measurements when necessary.
If the problem is 7+(-5) how many spaces do you move to the right or left
Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π? (?
I NEED THIS ANSWER NOWWWW PICTURE ATTACHED
Which system of inequalities is represented by the graph?
y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1
Find the area of a rectangular almond orchard that is 200 yards long and 100 yards wide.
300 square yards
2100 square yards
2000 square yards
20000 square yards
What is the factorization of the polynomial below?
x^3-4x^2+45x
What is the slope of this line y + 3 = -4(x - 5)?
In a horse race, how many different finishes among the first 33 places are possible if 20 horses20 horses are running? (exclude ties)
To solve this problem, let us break this down one by one.
There are 20 possible
horses that could win in first place. Therefore this means that for each of
these possibilities, there are now 19 horses that could come in second. So
meaning there are 20 x 19 possible combinations for the first 2 places.
20 x 19 = 380. And for each of those combinations, there are also
18 possible horses that could come in the third place. So
20 x 19 x 18 = 6,840
There are 6,840 possible horse combinations for the first 3
places in the race.
In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal choices are there if you were to have 1 appetizer, 1 entree, and 1 dessert?
24
72
13
18
What is the answer to
-18= 117/p-9
A card is drawn from a standard deck of 52 cards. what is the probability that it is a heart? type in your answer to two decimal places!
The graph shows the location of Jacob's, Kent's, and Hakim's houses. Each unit on the graph represents 1 kilometer. A coordinate plane is shown. Hakims house is located at negative 3, 1, Jacobs house is located at 1, 5, and Kents house is located at 1, 1. Line segments connect the points to form a right triangle.
Answer:
14 km
Step-by-step explanation:
I did FLVS
Which of the numbers listed below are solutions to the equation? Check all that apply. x2 = -36 A. 6 B. 1296 C. 18.0 D. 72 E. -6 F. None of these
3/5x+19−3/20x−7/35x+19−3/20x−7 simplified is
Final answer:
To simplify the expression, combine like terms and then simplify to get (1/4)x+24.
Explanation:
To simplify the expression, 3/5x+19−3/20x−7/35x+19−3/20x−7, we can combine like terms and then simplify:
Combine 3/5x−3/20x−7/35x to get (3/5−3/20−7/35)x = (12/20−3/20−4/20)x = (5/20)x = (1/4)x.Combine 19+19 to get 38.Combine −7−7 to get −14.Combine the results: (1/4)x+38−14 = (1/4)x+24.So, the simplified expression is (1/4)x+24.
posting a screenshot my loves
Solve the equation using square roots. x^2-15=34