Please help: Find an equation of a line that is tangent to the graph of f and parallel to the given line.
Answers
The equation of a line that is tangent to the graph of f and parallel to the given line is; y = 3x + 2 and y = 3x - 2
How to find the equation of a line in slope intercept formThe given equation of the line is 3x - y + 3 = 0
In slope intercept form, this can be rewritten as;
y = 3x + 3
Therefore, the slope of this line will be 3 since in y = mx + c, m is the slope. Thus, the slope of the parallel line will be 3
We will be looking for the value of x when the derivative of f(x) equals 3.
f(x) = x³ and so f'(x) = 3x²
Thus;
3x² = 3
x² = 3/3
x² = 1
x = 1 or -1
Thus;
y = 1³ or y =-1³
y = 1 or -1
Equation of tangent is;
y - 1 = 3(x - 1)
y - 1 = 3x - 3
y = 3x - 2
or y - (-1) = 3(x - (-1))
y + 1 = 3x + 3
y = 3x + 2
Read more about slope intercept form at; https://brainly.com/question/1884491
Related Questions
The decrease in the worth of Kenzie's car can be represented by the function m(t)=23,000(0.97)t, where t is the time in years, and m is the car's value in dollars.
What is the average rate of change of the car's value in dollars per year (rounded to the nearest dollar) during the first 4 years Kenzie owns it?
660
2638
−2638
−660
Answers
Answer:
-660
Step-by-step explanation:
Pllllease help mmmme
Answers
Answer:
21/38
0.553
Step-by-step explanation:
There are 63 married males out of the total 114 males.
So the fraction is 63/114. That is simplified into 21/38
Then divide 38 by 21 to get the decimal form.
38÷21=0.55263...
This Is due tomorrow I really need the help, please make the answer short and simple
Answers
Answer:
Step-by-step explanation:
21.019=d
21.019+4=25.019 ft of rope
25.019x.45=11.26
He willpay $11.26 for the rope
1. When you add the fractions 5/8, 3/16 and 11/32 the answer is _____________ *
Answers
Answer:
37/32
Step-by-step explanation:
5/8 + 3/16 + 11/32 = 37/32
Answer:
1.15625 or 1 and 5/32
Step-by-step explanation:
Result
5/8 + 3/16
= 13/16
Result in decimals: 0.8125
Calculation steps:
5/8 + 3/16 =
5 × 2
8 × 2
+
3
16
=
10
16
+
3
16
=
10 + 3/16 = 13/ 16
The next step would be:
home / math / fraction calculator
Fraction Calculator
Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator.
Result
13
16
+
11
32
=
37
32
=
1 5
32
Result in decimals: 1.15625
Calculation steps:
13
16
+
11
32
=
13 × 2
16 × 2
+
11
32
=
26
32
+
11
32
=
26 + 11
32
=
37
32
=
1 5
32
Hope this helps! Have a nice day!
Please give brainliest when possible!
:3
given g(x)=5x+3, find g(4)
Answers
Answer:
g(4) = 23
Step-by-step explanation:
g(x)=5x+3, find g(4)
g(4) = 5(4) + 3
g(4) = 20 + 3
g(4) = 23
Hope that helps!
Answer:
[tex] \boxed{g(4) \: is \: 23}[/tex]
Step-by-step explanation:
given :
g(x) = 5x + 3
find g(4)
Answer :
substitute 4 into the equation of function
[tex] g(x) = 5x + 3[/tex]
[tex]g(4) = 5(4) + 3[/tex]
[tex]g(4) = 20 + 3[/tex]
[tex]g(4) = 23[/tex]
Brainliest if correct
Answers
Answer:
y=3
Step-by-step explanation:
We can solve this using substitution (substitute 4 for x)...
4+y=7
Subtract 4 from both sides
y=3
Answer:
y = 3
Step-by-step explanation:
x + y = 7
x = 4
4 + y = 7
y = 7 - 4
y = 3
An equation of the circle with center (h, k) and radius r is (−ℎ)^2+(−)^2=^2
Answers
Answer:
An equation of the circle with center (h, k) and radius r:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Step-by-step explanation:
Not sure what you need to find out but,
An equation of the circle with center (h, k) and radius r:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
answer both questions and get 20 points and brainliest
Answers
Answer:
item 30.
d. 1 ½ as we can see the difference between the each x value is 2 and y value is more of 1 and 2.
items 31.
a. ⅖ as similar to upper question the difference between each x value is 2 and y value is 5 so ⅖
Solve the compound inequality x + 6 > 4 and 3x + 5 < 5
Answers
Answer:
[tex]x + 6 > 4 \\ x > 4 - 6 \\ x > - 2 \\ and \\ 3x + 5 < 5 \\ 3x < 5 - 5 \\ 3x < 0 \\ \frac{3x}{3} < \frac{0}{3} \\ x < 0 \\ therefore \\ - 2 < x < 0 [/tex]
Question is in the image
Answers
Answer:
A is the correct answer
.The Tigers scored nine times fewer points than the Eagles. The Tigers
scored 18 points. How many points did the Eagles score
Answers
Answer:
2
Step-by-step explanation:
18/9=2
its 9 times fewer than 18
A birch tree that is 4 ft tall grows at a rate of 1 ft per year. A larch tree that is 6 ft tall grows at a rate of 0.5 ft per year.
Let the variable t represent time in years and let the variable h represent height in feet.
In how many years will the trees be the same height?
Which system of equations can be used to solve this problem?
{h=1+4th=0.5+6t
{h=4+th=6+0.5t
{h=5th=6.5t
{h=4−th=6−0.5t
Answers
Answer:
h=1+4th=0.5+6t
Step-by-step explanation:
you have to multiply t and h by four and 1 separately
Answer:
H=4+t
H=6+0.5t
Step-by-step explanation:
Took the test the other answer is wrong.
Solve for b.
b
-1 = 5
4
b = 1
Answers
Answer:
B= 16
b/4 - -1 =5 is the same as b/4 + 1 = 5
b/4 + 1 = 5
- 1 both sides
b/4 = 4
x 4 both sides
b=16
16/4 - -1 =5
4 + 1 = 5
- - Means add
+ + Means add
- + Means take away or minus
Hope this helps!
[tex] \frac{b}{4} - ( - 1) = 5 \\ \\ \frac{b}{4} + 1 = 5 \\ \\ \frac{b}{4} = 5 - 1 \\ \\ \frac{b}{4} = 4 \\ \\ b = \frac{4}{4} \\ \\ b = 1.[/tex]
The value of b is 1 .
What is the percent difference in height between a building that is 600 feet tall and a tree that is 72
Answers
Answer:
730%
Step-by-step explanation:
600 - 72 = 528
528/72 = 7.3
7.3 * 100 = 730%
i need help woth this quadratics questions, confused, i think the answer is 24 but the answer key says 34
Answers
Answer:
then it's 34... sometimes I have a hard time understanding a math problem and I feel that... I suggest using Math*way without the (*) it helped me a lot through high school and college check it out see if you like it
Step-by-step explanation:
can someone help me please
Answers
Answer:
a) 1.2 seconds
b) 50 bpm
Step-by-step explanation:
a)The period is the value of t that makes the angle be 2π:
5πt/3 = 2π
t = 3(2π)/(5π) = 6/5
The period of the function is 6/5 = 1.2 seconds.
__
b)The number of beats per minute is ...
(1 beat)/(1.2 s) × (60 s)/(1 min) = 60/1.2 beats/min = 50 beats/min
the diameter of the circle X is 12 centimeters. The diameter of the circle Y is 8 centimeters.
Which measurement is closest to the difference between the circumference of circle X and the circumference of circle Y in centimeters.
Answers
Answer:
20
Step-by-step explanation:
All you do add because it is with even numbers
The radius of circular pipe is 12cm,what length of tape is required to wrap once around the pipe(use pie =3.14)
Answers
Answer:
75.36 cm
Step-by-step explanation:
We need to find the circumference of the pipe.
Circumference of a circle = 2[tex]\pi[/tex]r (where r is the radius)
Given:
r = 12 cm[tex]\pi[/tex] = 3.14⇒ circumference = 2 x 3.14 x 12 = 75.36 cm
The movement
Find the Least Common Denominator. Then, express each fraction using the Least Common Denominator.
7/10 and 5/6
Answers
Answer:
LCM of 7/10- 70
LCM of 5/6- 30
Step-by-step explanation:
Solution:
To find the Least common denominator (LCD) of 7/10 and 5/6, we need to find the Least common multiple of 10 and 6.
I found the LCM through division method. Refer to image attached~
We can tell that:
The LCM is 2 x 3 x 5, which when simplified, we obtain 30. The LCD is 30.Now, let's multiply the denominators and the numerators such that 30 is the denominator in both fractions.
=> 7/10 = 7 x 3/10 x 3 = 21/30=> 5/6 = 5 x 5/6 x 5 = 25/30The fractions are:
21/30 and 25/30A real estate broker sold your house for $189,000 The broker's commission was 4.5% of the selling price. How much would you get for the house after the commission is paid ?
Answers
Answer: $180,495 is the take-home after the broker's commission.
Step-by-step explanation:
if you are going 55 miles per hour how long will it be til you go 70 miles
Answers
Answer
time = 60 miles / (55 miles/hour) = (60/55) (miles/(miles/hour)) = 1.09 hour
Step-by-step explanation:
Speed = distance / time
A bit of algebra will get you the formula
time = distance/speed
Answer:
15sec if its a lamboghihi
Step-by-step explanation:
The residents of the city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there was 11,648 total votes, how many yes votes were there?
Answers
11,648/13=896
8(896)=7168 yes
5(896)=4480 no
Give an example using the subject of time to describe how to number patterns are related. go math 5th grade 563 9.5
Answers
Answer:
they are related by numbers
The person who started Educational system ,was really educated?
If you have any doubt in maths you can ask ?
Answers
Answer:
me plase me me please meeee
Answer:
Education is started when humans arose in the world.
Step-by-step explanation:
I am unable to understand the laws of sin cosin tan cot sec etc
Sum of two numbers 80 and difference is 40. Find two
numbers.
Answers
Answer:
The two numbers are 20 and 60
Step-by-step explanation:
Two numbers: x and y
x + y = 80
x - y = 40
x = y + 40
Substitute x
y + 40 + y = 80
2y + 40 = 80
2y = 40
y = 20
Substitute y, so x = 60
Jen traveled from Boston to Cape Cod at 60 mph. On her way back, the
traffic was bad and her return trip took 3 times as long. What was Jen's
average speed on the round trip?
Answers
Jen's average speed on the round trip will be 20mph
Distance and spedThe formula for calculating speed is expressed as:
Speed = Distance/Time
d = st
Let the time taken on Jen's way to Cape Cod be "t"
The time taken back to Boston will be t + 3
d1 = 60t
d2 = 60(t+3)
Since he traveled the same distance to and fro, hence;
Average speed = 60/3
Average speed = 20mph
Hence Jen's average speed on the round trip will be 20mph
Learn more on speed here: https://brainly.com/question/4931057
Answer:
30 mph
Step-by-step explanation:
Which shows how to find the x-coordinate of the point that will divide AB into a 2:3 ratio using the formula x=(a/a+b)(x2-x1)+x1?
Answers
Now, Plug in the values in the formula
[tex] \boxed{ \sf \multimap \: x = ( \frac{a}{a + b})( x_{2} - x_{1}) + x_{1} }[/tex]
[tex] \tt\nRightarrow \: x = ( \frac{2}{2 + 3} )( - 3 - 2) + 2[/tex]
[tex] \bf \Rrightarrow \: x = (\frac{2}{5} )( - 3 - 2) + 2[/tex]
➪ Therefore, Option C is the correct choice!!~Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial: -1 + 4a -4a^2
Answers
Answer:
-(1 - 2a)^2
Step-by-step explanation:
-1 + 4a - 4a^2
= -[1^2 - 2*1*(2a) + (2a)^2]
= -(1 - 2a)^2
Answer:
Step-by-step explanation:
Begin by taking out the minus
-(4a^2 - 4a + 1) The answer is the square root of the 1st and 3rd terms.
√4a^2 = 2a
√1 = 1 Since middle term is minus, one of 2a or 1 must also be minus
Usually the one is made minus.
That leaves you with a perfect square
- (2a - 1)^2 There are more ways than 1 to write this, but I think this is the clearest answer
Vince worked 559 hours in 13 weeks. At what rate did he work in hours per week?
Answers
Answer:
Step-by-step explanation:
43 hours per week i think
Answer:
40 hours per week (40:1)
Step-by-step explanation:
559 / 13 = 39.93
39.93 rounded to the nearest whole number is 40.
heather ate 3/6 of a box of cookies. Melody ate 3/5, who ate
more?
Answers
Answer:
Melody
Step-by-step explanation:
3/6 = 0.5
3/5 = 0.6
i.e. If it has the same numerator but different denominator the one with the smaller denominator will be bigger
Answer: Melody ate more.
Step-by-step explanation:
So, it would be Melody who ate more because
Over here:
Heather: ate 3 OUT of 6
Melody: ate 3 OUT of 5
Melody ate more because if you count up to 5 theres two cookies left, while Heather had 3 cookies left.
Hope this answers your question!