Answers
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
==================================================
Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Related Questions
Solve the equation.
x² + 6x+15=0
Answers
Answer:
x = -3 + i√6 and x = -3 - i√6
Step-by-step explanation:
Let's apply the "completing the square" method to find the roots of this equation.
Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x. Then subtract the same quantity:
x^2 + 6x + 15 becomes
x^2 + 6x + 3^2 - 3^2 + 15 = 0
Rewriting the first three terms as the square of a binomial, we ge:
(x + 3)^2 - 9 + 15 = 0, which simplifies to:
(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6
Taking the square root of both sides:
x + 3 = ±i√6
Then the two roots are complex:
x = -3 + i√6 and x = -3 - i√6
please help me i’m so confused
Answers
I think it’s D. I could be wrong though
Which pair shows equivalent expressions?
Help quick please!
Answers
Answer:
i think A
Step-by-step explanation:
What is the distance between the points M (-21,-7) and N (-5,-7)?
A.28 units
B.16 units
C.26 units
D.14 Units
Answers
An adult seal at a marine park consumes 2,400 kilograms of food in one year. If it consumes the same amount of food every month, how many kilograms of food does the seal consume per month?
Answers
it eat 200 a month gl
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is
proportional, how many calories are there in 180 crackers?
x х
12
15
y
60
75
36 calories
108 calories
720 calories
900 calories
PLEASE HELP QUICK!!
Answers
PLZZZZZ HELP MEEEEEEEE
Answers
Answer:
i am confused
Step-by-step explanation:
the bits on it is not that good to look at
Find the arc length of a 80° slice of a large 15 in. radius pizza.
Answers
Answer:
20.93 inStep-by-step explanation:
Arc length formula:
s = 2 π r (θ/360°)Substitute values:
s = 2*3.14*15(80/360) = 20.93 inWhich of the following inequalities is correct?
Answers
Answer:
B
Step-by-step explanation:
If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *
Answers
Answer:
48,410$ in 2021
Step-by-step explanation:
3% of 47,000 is 1,410
add the 3% increase to 47,000 to get 48,410$
Answer:
[tex]48[/tex],[tex]410[/tex]
Step-by-step explanation:
__________________________________________________________
[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]
[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]
__________________________________________________________
[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]
[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]
__________________________________________________________
Hope this helps! <3
__________________________________________________________
100 points! hard problem!
Answers
Answer:never gonna give you up
Step-by-step explanation:by rick astley
"you wouldnt get this from any other guy and i just wanna ask you how your feeling, gotta make you underatnd, never gonna give you up, never gonna let you down."
nEvEr gOnnA giVe U uP
What is the domain of the relation shown?
will mark as branliest
Answers
Answer:
2 or 4
Step-by-step explanation:
How would you describe the difference between the graphs of f(x) =2/3x^3 and g(x)=2/3(-x)^3
A. g(x) is a reflection of f(x) over the line y = x.
B. g(x) is a reflection of f(x) over the y-axis.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the line y = 1.
Answers
A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the slope of the regression line?
A:For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
B;For each increase in number of procrastination days by 1, the predicted grade decreases by 96.5 points.
C;For each increase in grade by 1 point, the predicted number of procrastination days decreases by 96.5 days.
D:For each increase in grade by 1 point, the predicted number of procrastination days decreases by 3.64 days.
Answers
Answer:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Step-by-step explanation:
The slope of a Regression Line
A straight line can be represented in the slope-intercept form:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope describes how fast and in what direction the graph goes when x changes values.
If m is positive, increments in x imply increments in y.
If m is negative, increments in x imply decrements in y.
The regression line is:
ŷ = –3.64x + 96.5
Where:
x = the number of procrastination days
ŷ = the predicted grade
We can say the slope is m=-3.64. This means that:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Pretty sure the guy above me is right, although I have not checked on edge.
(A) For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
kinda sucks how theres nothing for stats on here but i hope to help a little =================================
if you're looking for "What is the predicted grade of a student who procrastinated for 2 days?" as-well, the answer for that seperate question is (C) 89.22 .
=================================
ED2021
Choices would be
x = -0.4
x = 10
x = 2
X = -10
Answers
Answer:
The first one is
The second one is -
The third one is -.
The last one is
Step-by-step explanation:
ALSO I would really appreciate if you could check out our math channel. It is called Evimero Academy
Thank you so much and have a good day
How many solutions does the system have?
Pig Race
Time (seconds)
O zero
O one
O two
O infinite
Answers
Answer:
Step-by-step explanation:
I think it's 2
What is the slope of the graph of
4x + 3y = 15?
Answers
Answer:
-4/3
Step-by-step explanation:
y=mx+b
3y=-4x+15
y= -4/3 x +5
m is slope b is y intercept
EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?
Answers
Answer: 6, 21, 3
Step-by-step explanation:
2:7:1
Also, 2x 7x and 1x or just x
2x+7x+x = 30
10x = 30
x=3
So the three numbers: 2(3):7(3):1(3) OR 6:21:3
Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make
Answers
Answer:
6
Step-by-step explanation:
hehdhrhrhrhrbrhhffh
how to find rations in triangles
Answers
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?
Answers
Answer:
iacbsc kakwc s s k kd sdidv d lm vdfj
Step-by-step explanation:
Solve the equation.
8 (2-6v) +19=-61
Answers
Answer:
v = 2
Explanation:
8(2 − 6v) + 19 = −61
[ Simplify both sides of the equation ]
8(2 − 6v) + 19 = −61
(8)(2) + (8)(−6v) + 19 = −61 (Distribute)
16 + −48v + 19 = −61
(−48v) + (16 + 19) = −61 (Combine Like Terms)
−48v + 35 = −61
−48v + 35 = −61
[ Subtract 35 from both sides ]
−48v + 35 − 35 = −61 − 35
−48v = −96
[ Divide both sides by -48 ]
−48v / -48 = −96 / -48
v = 2
- PNW
What is the perimeter of this polygon?
Answers
------------------------ᴇʀʀᴏʀ
Is the equation 2x + 5 = 1 true, false, or open? Explain.
Answers
Answer:
open
Step-by-step explanation:
beacause
2x+5=1
2x=1-5
2x=-4
x=-4/2
x-2 so its open
An open statement is a statement that has an unknown variable
[tex]2x + 5 = 1[/tex] is an open statement
The equation is given as:
[tex]2x + 5 = 1[/tex]
From the equation, we have the following observations.
2, 5 and 1 are constants
x is a variable
Because the equation has a variable (i.e. x), then it is an open statement
Hence, [tex]2x + 5 = 1[/tex] is an open statement
Read more about open statements at:
https://brainly.com/question/11151728
"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"
Answers
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]
[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]
Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answers
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
162 divided by 4.1 estimate
Answers
Answer:
40
Step-by-step explanation:
162/4.1= 39.51 round to 40
The solution of the equation after dividing would be 40.
Used the concept of the divide that states,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
162 divided by 4.1
Now divide the numbers,
162 divided by 4.1
It can be written as,
162 ÷ 4.1
162 / 4.1
1620/41
This gives,
39.512
Rounded to whole numbers,
40
Therefore, the solution is 40.
To learn more about the divide visit:
brainly.com/question/28119824
#SPJ6
The new owners of Bluegrass Natural Foods, Inc., have hired you to help them diagnose and cure problems that the company has had in maintaining adequate liquidity. As a first step, you perform a liquidity analysis. You then do an analysis of the company’s short-term activity ratios. 3
Your calculations and appropriate industry norms are listed.
Current ratio bluegrass 4.5 industry norms 4.0
Quick ratio bluegrass 2 industry norms 3.1
Inventory turnover bluegrass 6 industry norms 10.4
Average collection period bluegrass 73 days industry norms 52 days
Average payment period bluegrass 31 days industry norms 40 days
a. What recommendations relative to the amount and the handling of inventory could you make
to the new owners?
b. What recommendations relative to the amount and the handling of accounts receivable could
you make to the new owners?
c. What recommendations relative to the amount and the handling of accounts payable could you
make to the new owners?
Answers
Answer:
I don't understand make is more simplify
85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?
Answers
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given parameters
Percentage of all teachers the works in summer = 85%
Number of teachers sampled = 6 teachers
Unknown:
The probability that they all work in summer = ?
Solution:
Now, to solve this problem, let us find the number of teachers that works in summer from the given size;
Number of teachers = 85% x 6 = 5.1;
Since it is not possible to have 5.1 people, the number of teachers will be 5
The probability = [tex]\frac{5}{6}[/tex]
15 PTS!!!!!!!!!!!!
What is the product of -2/7 and -3/7?
Answers
Answer:
6/49
Step-by-step explanation:
-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.
