Answer: f(x) = x9h(x)
h(-1) = 2
h'(-1) = 5
We need to find h(x) first. Once we have h(x), we can find the derivative of f(x). Then evaluate the derivate when x = -1.
We know that derivative is the slope of the tangent line. In this case, the slope of the line tangent to h(x) at x=-1 is 5.
h(-1) = 2 has a coordinate point of (-1, 2).
2 = 5(-1) + b
2 = -5 + b
7 = b
h(x) = 5x + 7 -----> equation of the tangent line
f(x) = x9(5x + 7)
f(x) = 5x10 + 7x9
Take the derivative of f(x).
f'(x) = 50x9 + 63x8
f'(-1) = 50(-1)9 + 63(-1)8
f'(-1) = -50 + 63
f'(-1) = 13
Step-by-step explanation:
Answer:
f(3) = 35
Step-by-step explanation:
Since we are given f(3), that means h = 3
f(3) = 9(3) + 8
f(3) = 27 + 8
f(3) = 35
Best of Luck!
The amount of fresh water left in the tanks of a nineteenth-century clipper ship is a linear function of the time since the ship left port, as shown in the table. Write an equation in point-slope form that represents the function. Then find the amount of water that will be left in the ship's tanks 60 days after leaving port.
1=3555
8=3240
15=2925
The line with slope m that contains the point (x1, y1) can be described by the equation
y − y1 = m(x − x1). In a real-world linear situation, you may have information that represents two points on the line. You can write an equation in point-slope form that represents the situation and use that equation to solve a problem.
Let x represent the number of days since the ship left port and y represent the number of gallons of water.
Two points on the line are (8,3240) and (1, 3555).
m =
3555 − 3240
1 − 8
=
315
−7
= −45
y − y1 = m(x − x1) Point-slope form.
y − 3555 = −45(x − 1) or y − 3240 = −45(x − 8)
y − 3555 = −45(60 − 1) Substitute for x.
y − 3555 = −2655 Simplify the right side.
y = 900 Solve for y.
900 gallons of water will be left after 60 days.
Hope this helped! (I didn't do it sooner cause I just did the quiz lol)
The equation of the function, in point-slope form, is given by:
[tex]y - 3555 = -45(x - 1)[/tex]
The amount of water left in the ship after 60 days is of 900 cubic units.
A line, in point-slope form, is represented by the following equation:
[tex]y - y_0 = m(x - x_0)[/tex]
In which:
m is the slope, which is the rate of change.The point is [tex](x_0, y_0)[/tex].We have two points: (1, 3555) and (8,3240).
Taking the first point, [tex]x_0 = 1, y = 3555[/tex].The slope is given by change in y divided by change in x, thus:[tex]m = \frac{3240 - 3555}{8 - 1} = -45[/tex]
Then
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 3555 = -45(x - 1)[/tex]
The amount after 60 days is y when x = 60, thus:
[tex]y - 3555 = -45(60 - 1)[/tex]
[tex]y = 900[/tex]
The amount of water left in the ship after 60 days is of 900 cubic units.
A similar problem is given at https://brainly.com/question/13967935
Gene says that -2 is less than -2.25. Is he correct? Explain why or why not.
Answer:
No
Step-by-step explanation:
-2 is closer to zero than -2.25, which means -2 is greater than -2.25
Answer:
wrong the lower you go the less the nember is.
El suplemento de 20 grados es?
El suplemento del ángulo 20° es: 160°.
Responder:
Ángulo de 160˚
Explicación paso a paso:
Por lo tanto, el suplemento de un ángulo de 20 is es un ángulo de 160˚. Esto se puede probar nuevamente, ya que 20 + 160 = 180, y los ángulos suplementarios tienen una suma de 180˚
Tanya bought a new car. She made an
initial payment of $2,000, and she will
pay $187 each month until the car is
paid off.
Which equation represents the
relationship between x, the number of
monthly payments Tanya has made,
and y, the total amount that Tanya has
paid towards the cost of the car?
Answer:
well i know she pays 8 times
Step-by-step explanation:
If f(x) = 2x2-4x+12 , what is f(-4)
The boss gives all his employess a 7% pay rise Paul used to earn $8 hour how much does he get after a rise?
Answer:
1.07*8
Step-by-step explanation:
8.56
700% of what number is 154?
Answer: 1,078
Step-by-step explanation:
The obtained number will be 22. As a result, 700% of x is 154.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
Suppose the number is x,
700% of x is 154
Apply the multiplication arithmetic operation.
(700/100) × x =154
7x=154
Divide 7 from both sides in the equation,
x=154/7
x=22
Thus, the obtained number will be 22. As a result, 700% of x is 154.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
If someone runs a 400m track in 80s what is the average velocity?
Answer:
V=?
S=400m
t=80s
V=S/t
V=400/80
V=5m/sec
Step-by-step explanation:
The camp director is putting 85 sack lunches in boxes for a picnic. She can fit 8 lunches in each box. She does the division problem shown to find out how many boxes she will need. 85 - 8 = 10 remainder 5 What is the meaning of the remainder in this situation? O A. The number of extra boxes needed. B. The number of extra lunches needed. O c The number of boxes left over after packing the lunches. O D. The number of lunches left over after packing the boxes. alguien me podría ayudar con la respuesta
Answer:
D
Step-by-step explanation:
Because that’s the answer Lol
I gave away all 300 pieces of candy.I ate 12 fun size snickers, and had 24 trick-or-treaters come to my door.how many candies did I give to each trick or treater?use c for candies
Answer:12
Step-by-step explanation:
A movie production company was interested in the relationship between the budget to make a movie and how well that movie was received by the public. The company collected information on several movies and used it to obtain the regression equation y = 0.145x+0.136, where x represents the budget of the movie (in millions of dollars) and y is the predicted score of that movie (in points from 0 to 1). Which statement best describes the meaning of the y-intercept of the regression line?
When the score of a movie is 0 points, the predicted budget is $0.
When the score of a movie is 0 points, the predicted budget is $0.136 million.
When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.
When the budget of a movie is $0, the predicted rating is 0.145 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.
Answer:
Pretty sure it's (C), although I am unable to check. --> IT IS C I GOT 100%
"When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0."
The y intercept is the starting "points", which is .136. Basically the company uses the equation to figure out how much money they got from a movie and how it increases as the budget increases. They make money off points.
So when there's no budget or a budget less than a million, thats what they earn in points.
Which is, .136 ; this means when theres no budget, they are expected to start with .136 points. (Probably cuz they're a cool company or something)
========================
If you're looking for a question that asks "What is the predicted score of a movie that has a $5 million budget?", its (C), .861
If you're looking for a question that asks "What is the predicted score of a movie that has a $250,000 budget?", it's (B) 0.17225 points
[THIS PART IS SEPARATE FROM THE ORIGINAL QUESTION]
========================
ED2021
The interpretation of a given situation is required.
When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.
The regression equation is
[tex]y=0.145x+0.136[/tex]
where,
[tex]y[/tex] = Predicted score of that movie
[tex]x[/tex] = Budget of movie in millions of dollars
The y intercept is the value of the function when [tex]x=0[/tex]. So,
[tex]y=0.145\times 0+0.136\\\Rightarrow y=0.136[/tex]
When [tex]x=0[/tex] this means the budget of the movie is 0 million dollars.
This is not meaningful.
So, the correct interpretation of the y intercept is When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.
Learn more:
https://brainly.com/question/20020812
https://brainly.com/question/14305458
How do you solve
Given: m
Prove: m
Identify the mistake that was made.
2(3x - 9) = 2x + 30
6x + 18 = 2x + 30
-2x -2x
4x + 18 = 30
-18 -18
4x = 12
4 4
x = 3
the error was they forgot to make 18 a negative
what is the difference between linear and nonlinear functions?
Answer: Linear Function is a relation between two variables that produces a straight line when graphed. Non-Linear function is a function that does not form a line when graphed.
Step-by-step explanation:
ANSWER: Degrees
explanation:
The difference between the linear and nonlinear functions are their degrees. For linear functions, the highest order is only 1 while more than for those nonlinear functions. If these are presented in graphs, linear functions would generate straight lines while parabola or other curved lines will be generated for nonlinear functions.
HOPE THAT HELPED PLEASE MRAK ME AS brilliant i would love it :)
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
in tri ADC and tri BDC
∠ADC =∠BDC = 90
DC is common
AD = BD (given)
triangle ADC ≅ tri BDC by SAS congruency
hence AC = BC by CPCT ( congruent parts of congruent triangles)
hence, BC = 13
Answer:
13
Step-by-step explanation:
in a proof, you could say that since AD is congruent to BD, since that is given to you, and angle ACD is congruent to angle CDB since a perpendicular bisector makes both sides a right angle, and CD is congruent to CD, (I forgot the reasoning for this part). after this, you can assume that triangle ACD is congruent to triangle CDB. and that would mean AC is congruent to CB because of CPCTC (Corresponding Parts of Congruent Triangles are Congruent), which would then mean that since AC is 13, CB would be 13 as well.
It’s says the answer has to be numbers
Answer:
-19.8
High Hopes^^
Barry-
Answer:
-19.8
Step-by-step explanation:
Negative*Positive = Negative
-9*2 = -18
-9*0.2 = -1.8
The equation of the graphed line is 2x – 3y = 12.
What is the x-intercept of the graph?
a) -4
b) -3/2
c) 2/3
d) 6
Answer:
6
Step-by-step explanation:
the x-intercept is where the line crosses the x-axis
Answer: D
Step-by-step explanation:
Edgen 2023
find the slope of 3,12 and 12,15
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
(3,12) (12,15)
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{15-12}{12-3}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]
PLEASE HELP QUICK What are the solutions for x when y is equal to 0 in the quadratic function
y= x2 + x - 72?
x = -9 and x = 8 when y = 0 is the answer
Answer: x= -9,8
Step-by-step explanation:
x=?
y=0
y=x^2+x-72
0=x^2+x-72
0=(x+9)(x-8)
x+9=0 x-8=0
-9 -9 +8 +8
x= -9 x=8
Which number is a perfect square?
A 265
B 281
C 265
D 249
Answer:
a and C
Step-by-step explanation:
is 1.6868 irrational or rattional
Answer:
Rational
Step-by-step explanation:
Its not a repeating des that has no parter or ......
Hope this helped you
<3
Red
How are linear functions used in everyday life?
Answer:
Step-by-step explanation:
Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph.
Answer:
They don't bro
Step-by-step explanation:They should teach us how to do stuff that will actually help us in real world situations
FIND X
NEED HELP ASAP
Answer: x = 3
Step-by-step explanation:
Subtract 15 from both sides
2/3x = 2
Divide each side by 2/3
x = 3
Answer:
welp to bad its like -4 tho
Step-by-step explanation:
what is the median of this data set? [1,2,3,4,5,81]
Answer: 3.5
Step-by-step explanation: Find the two middle numbers, 3&4, then add, 3+4=7, then divide by 2, 7/2 = 3.5, and now you have your median! 3.5!!
Beatrice makes a jar of dry soup mix. The ingredients are:
1 3/4 cups uncooked rice
1/3 cup beef bouillon
1/2 cup dry lentils
1/4 cup dried onion flakes
1 2/3 = 5/3cups uncooked pasta
1/2 cup dried peas
_______________________
O Commutative Property
O Associative Property
O Zero property
O Distributive property
I need help with this question.
Answer:
B!
Step-by-step explanation:
Construction Industry-All Employees (Thousands), 2000-2009
A line graph titled construction industry, all employees (thousands), 2000 to 2009, where the x-axis shows years and the y-axis shows all employees, in thousands. Line starts at 6,750 on January 2000, increases to 6,850 on March 2001, decreases to 6,650 on March 2003, increases to 7,700 on March 2006, stays at 7,700 on January 2007, then decreases to 6,700 on January 2009 and continues to decrease.
Construction Industry - Average Hourly Earnings (Dollars), 2000-2009
A line graph titled construction industry, average hourly earnings (dollars), 2000 to 2009, where the x-axis shows years and the y-axis shows average hourly earnings of production workers. Line starts at 17.2 on January 2000, slowly increases to 19.7 on January 2006, then increases more quickly to 20.5 on January 2007 and 22.4 on January 2009.
Based on trends displayed in the graphs above, which answer choice represents a likely situation for 2010?
a.
There will be more than 6.5 million construction employees in 2010, and those employees will have average hourly earnings of $24.00.
b.
There will be over 6 million construction employees in 2010, and the average hourly earnings will be less than twenty dollars.
c.
There will be roughly 6 million employees in 2010, and those employees will have average hourly earnings of $22.75.
d.
There will be over 7.5 million employees in 2010, and those employees will earn, on average, $23.00 per hour.
Please select the best answer from the choices provided
A
B
C
D
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The skating rink charges $100 to reserve the place and then $5.50 per person. Write an algebraic expression.
Answer:
y=5.5x+100
Step-by-step explanation:
since the $5.50 is your variable, you set that to the x value, and 100 to reserve is your y intercept because it is constant.
round 0.865 to the nearest tenth
Answer:
0.9
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
.865 will be rounded up to 1
8×7×3 nooooooooooooooow
Answer:
168
Step-by-step explanation:
Simply multiply the 3 digits