QuestionUse the equations and the graph to solve the problem. f(x)=2x−1g(x)=3x−5 Graph of f of x as stated passing through (3, 5) and g of x passing through (3, 4).© 2018 StrongMind. Created using GeoGebra. f(3)+g(3)= [blank] −−−−−−.
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
graph
f(x) = 2x − 1
g(x) = 3x - 5
Step 02:
functions:
we must analyze the graph to find the solution.
graph:
f(3) + g(3) = 5 + 4 = 9
The answer is:
f(3) + g(3) = 9
Related Questions
By drawing a diagram, determine the distance travelled south and the distance travelled
east by a plane flying on a bearing of 140 degrees for 90km
Answers
Sure, here is a diagram of a plane flying on a bearing of 140 degrees for 90km:
[Image of a plane flying on a bearing of 140 degrees for 90km]
The distance traveled south is 60km and the distance traveled east is 53.5km.
To calculate the distance traveled south, we can use the following formula:
distance = (90km * sin(140 degrees)) / 180 degrees
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This gives us a distance of 60km.
To calculate the distance traveled east, we can use the following formula:
distance = (90km * cos(140 degrees)) / 180 degrees
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This gives us a distance of 53.5km.
can you please help me with this question
Answers
Answer:
Least 4 5/7 {-6 5/7} - | -7 1/7 {-4 4/5} | 5 5/7 X 5 5/7.
Step-by-step explanation:
Answer: From least to greatest
-31 32/49, 32 32/49, 34 2/7
Step-by-step explanation:
5 5/7x 5 5/7= 32 32/49
4 5/7x -6 5/7= -31 32/49
-7 1/7x -4 4/5= 34 2/7
Circle O is represented by the equation (x + 7)2 + (y + 7)2 = 16. What is the length of the radius of circle O?
Answers
Answer:
4
Step-by-step explanation:
(x - h)² + (x - k)² = r²
r is the radius of the circle. We are given r as 16. So,
r² = 16
√r² = √16
r = 4
And we have our final answer!
Answer:
4
Step-by-step explanation:
(x - h)² + (x - k)² = r²
r is the radius of the circle. We are given r as 16. So,
r² = 16
√r² = √16
r = 4
This is the final answer!
6. (5 points) Graph using two intercepts; show your work in finding the intercepts. 6x - 3y = 18
х
Answers
Answer:
Divide both sides by 18. The new coefficients will be the reciprocals of the intercepts:
\(6x-3y=18 \rightarrow \frac6{18}x - \frac3{18}y = 1 \rightarrow \frac x3-\frac y6 =1\) The two intercepts are then 3 and -6.
(I know, dividing by 3 both sides of the equations would have made the whole process way easier).
Alternatively, plug x = 0 to find the y intercept and y=0 to find the x intercept. Either way the graph will look something like the one I'm sketching on paint.
A mural is feet long and is divided into 7 equal-length panels. How many feet long is each panel?
Answers
The required length of each panel would be 1 feet.
Given that,
A mural is 7 feet long and is divided into 7 equal-length panels. How many feet long is each panel to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
The required length of each panel = total length of the panel / 7
= 7 / 7 = 1 feet
Thus, the required length of each panel would be 1 feet.
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In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answers
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Answers
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
Select all the correct answers. What are the solutions to this equation? 2 x 2 = - 10 x + 12 x = - 6 x = - 2 x = 1 x = - 3 x = 6
Answers
Answer:
The correct solutions to the equation 2x^2 = -10x + 12 are x = -2 and x = 3.
Step-by-step explanation:
Did I do this right math functions need fast
Answers
Answer:
The rate of change of Function A is less than the rate of change of function B.
Other than that, everything else you put is correct.
Step-by-step explanation:
None.
Answer:
Option A, B and D are correct options.
Step-by-step explanation:
First we will find rate of change of function A and function B
Rate of Change of Function A
The formula used to calculate rate of change is: \(Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\)
We have x_1=1, y_1=5, x_2=2, y_2=7
Putting values in formula and finding rate of change
\(Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{7-5}{2-1}\\Rate\:of\:Change=\frac{2}{1}\\Rate\:of\:Change=2\)
So, Rate of change of Function A = 2
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the function, we can write the equation: y=2x+3
Now, put x =0
y=2(0)+3
y=3
So, when x =0, y=3
So, y-intercept is 3 for function A.
Rate of Change of Function A
The formula used to calculate rate of change is: \(Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\)
We have x_1=1, y_1=1, x_2=2, y_2=4
Putting values in formula and finding rate of change
\(Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{4-1}{2-1}\\Rate\:of\:Change=\frac{3}{1}\\Rate\:of\:Change=3\)
So, Rate of change of Function B = 3
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the graph, when x=0, y is -2
So, y-intercept is -2 for function B.
We get following answers:
Rate of change of Function A = 2
Rate of change of Function B = 3
y-intercept is 3 for function A.
y-intercept is -2 for function B.
So, The correct options are:
The rate of change of function A and B are positive
The rate of change of function A is less than the rate of change of function B. (Because 2 is less than 3)
The y-intercept of function A is positive, while y-intercept of function B is negative.
So, Option A, B and D are correct options.
Consider the system of linear equations shown here. x – 4y = -8 y = -X – 3 What is the solution to this system? How do you know?
Answers
Answer:
x = -4
y = 1
Step-by-step explanation:
For the "How do you know?" part, substitute the x and y values into one the original equations and check to see if it's true
15 people working 5 hourse per day can make 30 units of a product in 10 days. Assuming all other factors remaining constant and people of same efficiency are used to make the same products, in how many days can 10 people make 10 units of the product if each of them works 10 hours per day?
- 2.5 days
- 7.5 days
- 12 days
- 26 days
Answers
Answer:
2.5 days
Step-by-step explanation:
To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.
Given:
15 people working 5 hours per day can make 30 units of the product in 10 days.
From this information, we can calculate the work rate of these 15 people:
Work rate = Total units of the product / (Number of people × Number of hours × Number of days)
Work rate = 30 units / (15 people × 5 hours × 10 days)
Work rate = 0.04 units per person per hour
Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.
Using the work rate formula:
Number of days = Total units of the product / (Number of people × Number of hours × Work rate)
Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)
Number of days = 2.5 days
Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.
The correct answer is:
2.5 days
Which of the following is a parent function?
O A. 1(x)=2*3^x
OB. 1(x)=x^4 +3
O C. 1(x)=e^x
OD. 1(x)=2x
Answers
The answer to this question is choice C
factorise x^2 - 3x + 2
Answers
Answer:
(x - 1)(x - 2)
Step-by-step explanation:
x² - 3x + 2
x² - x - 2x + 2
x(x - 1) - 2(x - 1)
(x - 1)(x - 2)
-TheUnknownScientist
For what value of x is the rational expression below equal to zero?
Answers
Answer:
x=4
Step-by-step explanation:
We want to find the the expression
(x-4)
------------------ = 0
(x+5) (x-1)
This occurs when the numerator is equal to zero
x-4 =0
Add 4 to each side
x-4+4 = 0+4
x = 4
look at the image for the question
Answers
Volume = l × b × h
Length = 7m
Breadth = 7m
Height = 9m
Volume = 7×7×9
441m³
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10.8.8 Check Your Understanding
Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to
park her car. Each night, the hotel charged d dollars and $17.20 for parking. Which equation represents the total
amount, in dollars, Allison paid for the three nights?
A) d+3(17.20) = 782.07
(B) 3d+17.20 = 782.07
C) 3(d-17.20) = 782.07
D) 3(d+17.20) = 782.07
Answers
We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D
Which equation shows the total charge?We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.
If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.
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Solve the variable: 4(3n+ 3) = 60
Answers
Answer:
n = 4
Step-by-step explanation:
4(3n + 3) = 60 ( divide both sides by 4 )
3n + 3 = 15 ( subtract 3 from both sides )
3n = 12 ( divide both sides by 3 )
n = 4
The value of n in 4(3n+ 3) = 60 that satisfies the equation is 4.
To solve for the variable n, we need to get n by itself on one side of the equation. We can do this by isolating n by performing the same operations on both sides of the equation.
First, we can simplify the left side of the equation by performing the operations inside the parentheses:
4(3n+ 3) = 4(3n) + 4(3) = 12n + 12
Then, we can subtract 12 from both sides of the equation to isolate n:
12n + 12 - 12 = 60 - 12
12n = 48
Finally, we can divide both sides of the equation by 12 to solve for n:
12n / 12 = 48 / 12
n = 4
Therefore, the value of n that satisfies the equation is 4.
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b) In a group of 1,100 youths, each uses smart phones, either I-phone or Samsung or both or neither, 150 of them use only I-phone, 770 of them use Samsung and 900 use only one of these two smart phones. (i) Find the number of youths who use both of these smart phones. (ii) Find the number of youths who use neither of these smart phones.
Answers
A customer at a local sub shop spent $22 on food for himself and his family. If small subs are $2.50 and larger subs are $4.00, how many of each did he purchase?
Answers
What is the length of side a?
Answers
Answer:
where is the picture
Step-by-step explanation:
u need a pic
Francisco earns seven dollars an hour at his part-time job last week he worked 16 hours what was his gross pay for the week what was his salary for the year if he works 16 hours a week all year
Answers
Answer:
he works 7 dollars an hour so 16 x 7 = 112 that's for a whole week a year would be 356 x 7 = 2,555 that's 1 whole year
Step-by-step explanation:
sorry if i got this wrong
What is the length of b in the triangle?
Answers
Answer:
8 in
Step-by-step explanation:
\(b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8\)
PLEASE HELP!!! due today!!
Answers
Answer:
The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
Step-by-step explanation:
We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:
P = 7200/D
To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
So the distance between supports needed to carry 1600 lb is 4.5 feet.
To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
I need help with this!
Answers
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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2. What is the Y intercept of the equation Y = 3X + 8
Answers
The y-intercept of any equation is where the function crosses the y-axis.
It is the point where x=0
So determine the y-interceot of the given line you have to calculate the value of y when x equals zero:
\(\begin{gathered} y=3x+8 \\ y=3\cdot0+8 \\ y=8 \end{gathered}\)The coordinates of the y-intercept are (0,8)
Find 8 * 3 1/2 using the distributive property
Answers
The value of the expression upon evaluation by using the distributive property as required is; 28.
What is the value of the given expression using the Distributive property?It follows from the task content that the distributive property is to be used to determine the value of the expression given.
Since the given expression is; 8 • 3 ½.
It follows that the expression can be written as follows;
8 ( 3 + ½ )
Hence, by the distributive property, it follows that we have;
( 8 × 3 ) + ( 8 × ½ )
= 24 + 4
= 28.
On this note, the value of the expression is; 28.
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Bandhan Bank employee salary after 10 years
Answers
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
Determine whether the following represents a linear relationship or a nonlinear relationship.
Answers
Answer:
the answer to this is
A) nonlinear
Step-by-step explanation:
this is not linear because the line is not a line that goes in 1 direction. It has points of an increase and decrease so it is non linear
Answer:
it is not linear
Step-by-step explanation:
It is not a linear line because it is not going straight
The diameter of the sphere is 12.8 cm calculate the value 3.14
Answers
what is needed to be calculated please tell
The area of a regular hexagon inscribed in a circle with radius 5 is what . Round your answer to the nearest whole number.
Answers
Answer:
Area of regular hexagon inscribed in circle = 64.95
Step-by-step explanation:
Given:
Radius = 5 unit
Find:
Area of regular hexagon inscribed in circle
Computation:
Area of regular hexagon inscribed in circle = 6[1/2][r²sin60]
Area of regular hexagon inscribed in circle = 6[1/2][5²(0.866)]
Area of regular hexagon inscribed in circle = 64.95