Answers
The tangent line to f(x) at x = c has slope equal to the derivative at c, or f'(c).
We have
f(x) = 3 - 2 x + 7 x²
so that
f'(x) = -2 + 14 x
The slope is 5 for
-2 + 14 x = 5 ==> 14 x = 7 ==> x = 1/2
Now, f (1/2) = 15/4, so the tangent line has equation
y - 15/4 = 5 (x - 1/2) ==> y = 5 x + 5/4
Related Questions
Help Please 5/8 x 4/7
Answers
Answer:
5/14
Step-by-step explanation:
1+1x2/3+8x45/6+8-97x29/3x79tothethirdpower/13+10
Sorry, but just curious whoever gets this right will get brainliest and give explanation (Example) 1+1=2 and 2x2 is 4 and 4/3+8 and so on, Good luck!
Answers
Answer:
2.26973255E-12
Step-by-step explanation:
1+1=2*2=4
3+8=11*45=495
6+8=14-97=-83*29=-2407 3*79 79^3=493,039*3=1479117
1+1=2*2=4/495=.0080808081/-2407= -.000033572/1479117
2.26973255E-12
Please Help! Chapter TEST review tonight!!!
Will give BRAINLIEST!!!!
Answers
Answer:
[tex]x=5^o[/tex]
[tex]m\angle EBD=50^o[/tex]
Step-by-step explanation:
First case: angleEBD = 86 degrees, and angleDBC = 7 x + 8
Since BD bisects angleEBC, then angleDBC = 86/2 degrees = 43 degrees
then 43 = 7 x + 8
solving for "x":
43 - 8 = 7 x
35 = 7 x
dividing both sides by 7:
x = 5 degrees
Second case: angleEBD = 5 x + 20 and angleDBC = 7 x + 8
Since both angles must be of the same measure because BC is the bisector, then we can write the equation:
5 x + 20 = 7 x + 8
solve for x:
20 = 7 x - 5 x + 8
20 - 8 = 2 x
12 = 2 x
x = 6 degrees
now use x = 6 degrees to find angle EBD:
angleEBD = 5 (6) + 20 = 30 + 20 = 50 degrees.
Triangle. A)6× b) 8× c) 6×
Answers
Answer:
288
Step-by-step explanation:
jnjrgrugnrjgvnjrhbyrngk
I need help with this question please.
Answers
Answer:
It's B. 2/5
Step-by-step explanation:
Because: line G to E is 2/5 of G to F.
A carnival manager counted 275 ticket receipts after the first day of the carnival. The price for an adult ticket was 11.50
Answers
Problem: Melody's family wants to go to Hawaii, which is a
3,700 mile airplane ride. Write the number of miles in scientific
notation.
Answers
Answer:
3.7 times 10 to the 2nd
Answer:
3.7 times 10 to the 2nd
Step-by-step explanation:
jacob stated that he solved the equation 2x+3 =5 using the addition and multiplication property of equality which statement is true
-------------------------------------------------------------------
jacob added -3 to both sides and multiplied both sides by 1/2
jacob added -3 to both sides and multiplied both sides by 2
jacob added 3 to both sides and multiplied both sides by 1/2
jacob added 3 to both sides and multiplied both sides by 2
Answers
Answer: the answer is A
Step-by-step explanation: Jacob added -3 to both sides and multiplied both sides by 1/2, I take a test and my answer was correct...
What is the result when the number 93 is increased by 8%?
Answers
Answer plz plz plz plz plz plz plz
Answers
Answer:
It would be the third answer choice
Step-by-step explanation:
Answer:
graph c, a translation on just sliding the shape around
It cost Oliver $3.36 to send 112 text messages. How much does each text cost to send?
Answers
Explanation: divide $3.36 / 112 to find how much each text costs, and you get $0.03
If angle 2 is 120 degrees, a) What is the measure of angle 1?
Answers
Step-by-step explanation:
<1+<2=180°
<1+120°=180°
<1=180°-120°
<1=60°
each day, lisa spends 40 minutes for sport; rock spends 1 hour for sports; scott spends 1 hour and 15 minutes for sport. what is the simplest ratio of the sporting time for lisa to rock to scott.
Answers
Answer:
8:12:15
Step-by-step explanation:
L=lisa R=rock S=scott
L 40mins
R 60 mins
S 75 mins
40:60:75
8:12:15
Someone please help I need this as fast as possible
GIVING 20 POINTS
Answers
(10x+15) + (5x)=180
X=11
Guys help please!!!!!
Answers
Answer:
what?
Step-by-step explanation:
Help!!!
The relationship between the number of pounds (lb) of cereal and the price in dollars is shown in the graph what is the unit price of cereal?
Answers:
A. $7/1 lb
B. 1 lb/ $7
C.$14/ 2 lb
D. $1/7 lb
Answers
A. $7/1 lb
The first intersection is at (7,1)
Suppose two automobiles leave from the same point at the same time. If one travels north at 60 miles per hour and the other travels east at 45 miles per hour, how fast will the distance between them be changing after three hours?
Answers
Answer:
225milesStep-by-step explanation:
velocity is the change in displacement with respect to time
Speed Δv = Δd/t
Δd = tΔv
Δv is the change in speed
t is the time taken 3 hours
Substitute the given parameters into the formula;
Using the pythagoras theorem to get the change in velocity
v² = 60²+45²
v² = 3600+2025
v² = 5625
v = √5625
v = 75miles/hour
Substitute the gotten values inti the formula;
Δd = tΔv
Δd = 3*(75)
Δd = 225miles
The distance between them be changing by 225miles after 3 hours
Please help!!
As part of a landscaping project, put in a flower bed measuring 10 feet by 20 feet. Surround the bed with a uniform border of low-growing plants.
a. Write a polynomial that describes the area of the uniform border that surrounds the flower bed.
b. The low growing plants surrounding the flower bed require 1 square foot each when mature. If there are 216 of these plants, how wide a strip around the flower bed should be prepared for the border?
Answers
Answer:
hope this helps you out.
please answer quick! im being timed!!!!!!!
Polygon B is a scaled copy of Polygon A.
What is the scale factor from Polygon A to Polygon B? Explain your reasoning.
Find the missing length of each side marked with ? in Polygon B.
Determine the measure of each angle marked with ? in Polygon A.
Answers
Answer:
A. 25°
- 15°
B. 5.3
-8. 2
Step-by-step explanation:
i'm sorry ya kalo jawaban nya salah
Rewrite this number in scientific notation 54.8 times 10’3
Look at attachment down bellow
Answers
The numeraiders won 7 games, lost 9 games and tied 2 games. What percent of the games did they win?
Answers
Answer:
0.39%
Step-by-step explanation:
7+9+2= 18
7 divided by 18 and you'll get 0.38%. If you round it up it's 0.39%.
Answer:
39% of the games they won
Step-by-step explanation:
7+9+2=18
so there were 18 games in total and they won 7 of those games so they won 7/18 of the games.
You divide 7/18 and get 0.388888... you would round to the nearest hundredth place and get 0.39
To change a decimal to a percent you multiply by 100 and get 38%
The ideal width of a safety belt strap for a certain automobile is 6 cm. The actual width can vary by at most 0.45 cm. Write an absolute value inequality for the range of acceptable widths and solve the inequality.
Answers
Answer:
[tex]|x-6|\le 0.45[/tex]
[tex]x\in [5.55,6.45][/tex]
Step-by-step explanation:
Absolute Value Inequality
Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.
Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.
The variation (unsigned) from the ideal width is:
[tex]|x-6|[/tex]
The question requires that the variation is at most 0.45 cm. That poses the inequality:
[tex]|x-6|\le 0.45[/tex]
That is the range of acceptable widths. Let's now solve the inequality.
To solve an inequality for an absolute value less than a positive number N, we write:
[tex]-0.45\le x-6 \le 0.45[/tex]
This is a double inequality than can be easily solved by adding 6 to all the sides.
[tex]-0.45+6\le x \le 0.45+6[/tex]
Operating:
[tex]5.55\le x \le 6.45[/tex]
That is the solution in inequality form. Expressing in interval form:
[tex]\boxed{x\in [5.55,6.45]}[/tex]
Aisha took the train spoklane to seattle. the distance is 250 miles and the trip took 3.5 hours. wha was the speed of the train
Answers
Answer:
I believe the answer is 72.88 Miles Per Hour (MPH).
Step-by-step explanation:
If the distance being traveled is 250 miles and the time it took was 3.5 hours, then you should divide the 250 miles by the 3.5 hours it took to get there. By dividing 250 by 3.5, you can get 72.88, which should be the answer.
Hope this helps! Let me know.
Select the correct answer
Consider the given table in the picture.
I need it ASAP
Answers
True or False? If a positive integer is subtracted from a negative integer, the answer is a negative integer.
Answers
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
because if you have diffrent sings you will subtract same sings add.
The temperature in the late afternoon was −7.5°C. It dropped 5 degrees by early evening and then dropped another 8.5 degrees by midnight. What was the temperature at midnight?
Answers
Answer:
-21 is the correct answer
Step-by-step explanation:
-7.5 - 5 - 8.5 = -21
Answer:
-21 is the correct answer
-7.5 - 5 - 8.5 = -21
A rectangle and square have the same area.
The rectangle has length 12x and width 3x.
Find the length of each side of the square.
(20 points)
Answers
Answer:
12x*3x=36x^2
squarelength=[tex]\sqrt{36x^2}[/tex]=6x
Step-by-step explanation:
Length of each side of a square is equals to 6x.
What is rectangle?
" A rectangle is a two dimensional shape whose opposite sides are parallel and congruent to each other. Each of the interior angle is of measure 90°."
What is square?" A square is a parallelogram whose all sides are congruent to each other. Each of the interior angle is of measure 90°."
Formula used
Area of rectangle = length × width
Area of square = (side)²
According to the question,
length of a rectangle = 12x
width of a rectangle = 3x
Substitute the value in the formula we have,
Area of rectangle = 12x × 6x
= 36x²
As per the question,
Area of rectangle = Area of square
Therefore ,
Area of square = 36x²
⇒ (side)² = 36x²
⇒ side = 6x
Hence, length of each side of a square is equals to 6x.
Learn more about rectangle and square here
https://brainly.com/question/2272635
#SPJ2
animal behavior crossword
Answers
Answer:
what is the question? tggtt
The revenue in dollars of a company that produces video game systems can be modeled by the expression 5X squared 2+ 2X -80 the cost in dollars of producing video game system can be modeled by 5X squared two minus X +100 where X is the number of video game sold if profit is the difference between revenue and cost what expression represents the prophet
Answers
Answer:
required expression for profit = 3x - 180
the profit by selling 1000 units will be $ 2820
Step-by-step explanation:
Given,
Revenue = 5x² + 2x -80
cost = 5x² - x + 100
Hence profit = Revenue - cost
=> profit = 5x² + 2x -80 - (5x² - x + 100)
=> profit = 5x² + 2x -80 - 5x² + x - 100
=> profit = 3x - 180
which is the required expression for profit.
number of video games sold = 1000
=> x = 1000
hence,
profit = 3x - 180
= 3000 - 180
= $ 2820
hence the profit by selling 1000 units will be $ 2820
An elephant seal was swimming 330 meters below the ocean's surface. It dove another 85 meters down to look for a squid to eat.
What is the position of the seal now relative to the ocean's surface?
Answers
Answer:
-415
Step-by-step explanation:
because first of all the sentence said it DOVE UNDER meaning it was under sea level so its basically negative then add the two numbers and turn it to negative.