[tex]y - intercept = 3[/tex]
[tex]x - intercept = - 4[/tex]
What is the slope of the line tangent to the graph of y = (9x^2)/(x+2) at x = 1 ?
Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.
The equation is:
[tex]y(x) = \frac{9x^2}{x + 2}[/tex]
The slope of the line tangent to the graph of y at x = 1 is [tex]y^{\prime}(1)[/tex].
Applying the quotient rule, we have that:
[tex]y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}[/tex]
Then, when x = 1:
[tex]y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5[/tex]
The slope of the line tangent to the graph of y at x = 1 is of 5.
You can learn more about the use of derivatives to find the slope of a tangent line at https://brainly.com/question/10580177
Write the slope intercept equation of the line that passes through (2,5) and (-1,3)
Answer:
y=2/3x+11/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-5)/(-1-2)
m=-2/-3
m=2/3
y-y1=m(x-x1)
y-5=2/3(x-2)
y=2/3x-4/3+5
y=2/3x-4/3+15/3
y=2/3x+11/3
What is the image of (−4,−7) after a reflection over the x-axis?
Answer:
go left for times and go down 7 .
Step-by-step explanation:
Answer:
(-4,7)
Step-by-step explanation:
I hope this helps :)
Solve for g. Make sure to use scrap paper to show your work.
( 144 + 6 x 8 ) ÷ 3 = g
192
64
48
the answer is 64 multiplication can be done with calculator or normal
A pipe that is 165 feet long is cut into three parts whose lengths are in the ratio 2 : 5 : 8. Find the length of the longest piece. Longest piece: 2 feet
Answer:
88 ft
Step-by-step explanation:
Let's say the shortest piece has length 2x, so the medium piece has length 5x and the longest piece has length 8x. Added together, they equal 165, so
2x + 5x + 8x = 165
15x = 165
divide both sides by 15 to isolate x
x = 11
8x = longest piece = 88 ft
Estimate the distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour. Round your answer to the nearest mile.
Answer:
163 miles
Step-by-step explanation:
set up a ratio based on 49 miles in 1 hour (60 minutes):
let 'd' = distance in 3hrs, 20 min
3hrs, 20 min = 200 minutes
49/60 = d/200
cross-multiply:
60d = 9800
d = 163.3
The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
The speed of the vehicle is 49 miles per hour. And the time is 3 hours 20 minutes.
Convert the time completely hours. Then we have
T = 3 + 20/60
T = 3.33 hours
The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be
D = 49 x 3.33
D = 163.33 miles
The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
Select Is a Function or is not a Function to correctly classily each relation
Is a Function
is not a Function
{(2, 2), (4,4), (6, 6), (8, 8)}
{(0,3), (3,5), (5, 6), (8, 4);
118
{(1, 2, (3, 3), (4, 8), (6,3)}
02
{(3, 4), (5,2), (5, 6), (7,3)}
Answer:
1: NOT A FUNCTIN
Step-by-step explanation:
1/2x-3 + 5x/2x+6 = 2, Solve for x
Answer:
1/2x-3 + 5x/2x+6 = 2
1/2x-3 + 5/2+6 = 2
1/2x-3 + 2.5+6 = 2
1/2x + 5.5 = 2
1/2x = 2-5.5
1/2x = 3.5
1 = -3.5 × 2x
1 = -7x
x = -1/7
hope it helps :)
Show work on the graph pls help I’ll brainlest ASAP
Answer:
Slope (known as m) = -3/2; Y-int (known as b) = 3
Step-by-step explanation:
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{{0}-{3}}{{2}-{0}}[/tex]
m = [tex]\frac{-3}{2}[/tex]
b = [tex]3[/tex]
find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18
Answer:
Step-by-step explanation:
2x - 8y = - 18
- 8y = - 2x - 18
y = ¼x + 2¼
y intercept occurs when x = 0, so b = 2¼ (0, 2¼)
x intercept occurs when y = 0
0 = ¼x + 2¼
¼x = - 2¼
x = -9 (-9, 0)
CAN SOMEONE ANSWER THIS!!!!!!!!
Answer:
Step-by-step explanation:
2 now help me :(
a sphere has a volume of 2,304 pi mm3. find the diameter of the sphere
Answer:
24
the formula of sphere is
[tex]v = \frac{4}{3} {r}^{3} [/tex]
Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.
Hence, using the given data:
[tex]2304\pi = \frac{4}{3} \pi {r}^{3} [/tex]
We can cancel
We can cancel π from each side.
[tex]2304 = \frac{4}{3} {r}^{3} [/tex]
Multiply both sides by
[tex] \frac{3}{4} [/tex]
hope I help you ☺️❤️
Find the volume
of the rectangular prism.
3 m
7 m
4 m
Answer:
The volume is 63m³
Step-by-step explanation:
Multiply all sides together so 4 x 7 is 21, 21 x 3 is 63.
PLEASE HELP THESE ROBOTS ARE SPAMMING ME
What led to the formation of the 2 political parties?
A. The Revolutionary War
B. Hamilton's financial plan
C. the Whiskey Rebellion
D. A loss in rock, paper, scissors
Step-by-step explanation:
The answer is the Revolutionary War
YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:
If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?
If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?
Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?
Answer:
Step-by-step explanation:
Question 1
Answer: (1, -0.5)----------------------
Explanation:
The x coordinates of the points for the restrooms and fountain are -2 and 4 in that order. Add up those values and divide by 2
(-2+4)/2 = 2/2 = 1
The midpoint of -2 and 4 on the number line is the value 1. So if the restrooms and fountain were on the x axis and at -2 and 4 respectively, then the midway point is 1 on that same number line. Note: The value 1 is exactly 3 units away from -2 and 4.
We'll use this idea for the y coordinates as well. Add them up, then divide by 2.
Add: 4+(-5) = -1
Divide by two: -1/2 = -0.5
The y coordinate of the midpoint is -0.5
Overall, the midpoint between the restrooms and fountain is the point (1, -0.5)
For more info, check out the midpoint formula.
====================================================
Question 2
Answer: (0, 0.5)----------------------
Explanation:
We'll use the same idea as before. This time we focus on the locations of the swings and ball field only.
Add the x coordinates for each point: -5+5 = 0
Divide in half: 0/2 = 0
The x coordinate of the midpoint is 0
Repeat for the y coordinates.
Add: 5+(-4) = 1
Cut in half: 1/2 = 0.5
The y coordinate of the midpoint is 0.5
We get the midpoint (0, 0.5) which is where the two pets meet.
====================================================
Question 3
Answer: Approximately 1 yard----------------------
Explanation:
Apply the distance formula for the results of the previous two questions.
So we'll apply the midpoint formula for the points (1, -0.5) and (0, 0.5)
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-0)^2+(-0.5-0.5)^2}\\\\d = \sqrt{(1)^2+(-1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\d \approx 1.414\\\\d \approx 1\\\\[/tex]
What is the value -3/5 + (-0.75) +4 7/10
Enter your answer in the box.
Answer:
67/20 as an improper fraction, 3 7/20 as a mixed number and, 3.35 as a decimal
Hope this helped :)
Step-by-step explanation:
What is the square root of -2x^2
Answer:
-2x
Step-by-step explanation:
the answer for the question is -2x
Can anyone help me with the first question? It’s for my study guide I would really appreciate it
6 wholes and 1/3 converted into decimal?
Answer:
6 is a whole number.
[tex]\frac{1}{3}[/tex] is approximately equal to 0.333, but this is a repeating decimal.
How many pounds of reindeer food can Santa buy for $12 if he can buy 28
pounds for $35?
Answer:
14 Pounds
Step-by-step explanation:
35 / 12 = 2.9167
being as we all know you cant go over two because it is dealing with money, we know that he can buy half of 28 pounds. Which is 14.
Can someone please help me I will mark u brilliant
Answer for the first question: There are 13 pieces of pie left.
Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.
3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.
1/2= 4 because you just divide 8 by 2.
3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.
Therefore, there are 13 pieces of pie left.
1. First, let's have the pieces have the same denominator: 8!
3/8 is already fine
1/2 = 4/8
3/4 = 6/8
Now add up the numerators: 13 pieces were eaten.
Since there are 3 pies, there's 24 pieces total
24 - 13 = 11
11 pieces are left over
2. First, 3/4 x 6 = 4.5
1 1/2 x 5 = 7.5
4.5 + 7.5 = 12
-5 + 12 = 7
At 5:00 pm, it was 7 degrees.
Hope this helps!
Simplify (4.5)(5)(−2). (1 point)
Answer:
(4.5)(5)(−2) = (-9) × 5
= -45
Answer:
-45
Step-by-step explanation:
[tex](4.5)(5)(-2)\\\\22.5(-2)\\\\-45[/tex]
The amount of money, y, pizzeria J makes by
selling x pizzas can be modeled by the equation
y = 14x. The relationship of the amount of money
pizzeria W makes is shown in the following graph.
Which pizzeria makes more money per pizza?
Answer:
Pizzeria J
Step-by-step explanation:
Pizzeria J makes
y = 14x
Let x = 1, for 1 pizza. Then,
y = 14 × 1
y = 14
At pizzeria J, 1 pizza costs $14.
In the equation y = 14x, the slope, 14, is the cost per pizza.
Now we find the slope of the graph for pizzeria W.
The x-axis is the number of pizzas.
For x = 1, y = 11.
The slope is 11, so the price per pizza is $11.
Answer: Pizzeria J
Question
Evelyn placed $1500 in a savings account which earns 5.2% interest, compounded continuously,
How much will she have in the account after 8 years?
Round your answer to the nearest dollar
DO NOT round until you have calculated the final answer.
Answer:
Step-by-step explanation:
So the final answer is $2274.
Estimate 47 divided by 1/2
Answer : 94
Step by Step :
47/0.5=94
what is the value of f(-8) in f(x)=-3x-9
The value will be .......15.......
f(x) = -3x - 9
Now, substitute -8 in the place of x.
f(x) = -3x - 9
f(-8) = - 3(-8) - 9
f(-8) = 24 - 9
f(-8) = 15
______
Hope it helps ⚜
Pencils can be purchased in packages of 12 or 25. If Karl purchased 8 packages to get 135 pencils, how many packages of 12 did he buy?
Answer: 60
Step-by-step explanation:
list all of the multiples and choose the least common number
10: 10 20 30 40 50 60 70 80 90 100
12: 12 24 36 48 60 72 84 96
find a number that shares all the prime factors of the two numbers
prime factors of 10: 2, 5
prime factors or 12: 2, 2, 3
LCM = 60
40% of athletes have tattoos and get into fights with other athletes. 50% of athletes get into fights with other athletes. What is the probability that an athlete that is getting into a fight has a tattoo
The probability that an athlete that is getting into a fight has a tattoo is 0.80
Let the events be represented as:
Event A : get into a fightEvent B: has a tattooSo, the probabilities are given as:
[tex]P(A\ n\ B) = 40\%[/tex]
[tex]P(A) = 50\%[/tex]
The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)
So, we have:
[tex]P(B | A) = \frac{P(A\ n\ B)}{P(A)}[/tex]
Substitute known values
[tex]P(B | A) = \frac{40\%}{50\%}[/tex]
Cancel out the percentages
[tex]P(B | A) = \frac{40}{50}[/tex]
Divide 40 by 50
[tex]P(B | A) = 0.80[/tex]
Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80
Read more about probabilities at:
https://brainly.com/question/251701
pythagorean theorem to find the length of the hypotenuse in the triangle 16 30
Answer:
the answer is 34.
Step-by-step explanation:
11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have
Answer:
44 ten-dollar bills
Step-by-step explanation:
Assume that all 124 bills are ten-dollar bills,
124 x $10 = $1240
Total Value of Money : $840
$1240 - $840 = $400
There are $400 worth of five-dollar bills,
$400 / 5 = 80 (The number of five-dollar bills)
Therfore the number of ten-dollar bills,
124 - 80 = 44
Let's check:
44 x $10 = $440
80 x $5 = $400
Total = $440 + $400
= $840