Answer:
y = 3x + 8.
y = 3x - 8
Step-by-step explanation:
The slope of the tangent to the curve at a given point is obtained from the derivative.
xy = 3
y = 3/x
y = 3 x^-1
y' = -3x^-2
The slope of the normal (which is perpendicular to the tangent)
= -1 / -3x^-2 = 1/3 x^2.
Consider the given line:
3x - y - 2 = 0
y = 3x - 2 , so the slope of this line = 3.
Now this line is parallel to the normal so 1/3 x^2 = 3
Therefore x^2 = 9 and x = -3, 3.
Find the equations of the normals:
At x = -3, y = 3/-3 = -1, which gives the equation:
y - (-1) = 3(x - -3)
y = 3x + 8.
At x = 3 , y = 1
y - 1 = 3(x - 3)
y = 3x - 8.
Question is: Andre solved an equation, but when he checked his answer he saw his solution was incorrect. He knows he made a mistake, but can’t find it. Where is andres mistake and what is the solution to the equation?
Answer:
-1=x He messed up on the third step.
Step-by-step explanation:
I worked out the equation and found that when he switched -6x over to -4 he did not change the symbol. So instead of 6+4 he did 4-6. I finished the equation and got -1
What ratio will have a trail with 7:2
Answer:
7/2
Step-by-step explanation:
What can you hold in your right hand but not your left?
Answer:
Your left elbow/left hand
Step-by-step explanation:
Why do you think it is important to graph certain values?
Send help asap (´༎ຶོρ༎ຶོ`)
Graphs aren't mandatory, but they may help visual learners see why an equation works a certain way. Also, they are a visual tool to quickly find a solution to a problem. Furthermore, they help with presentations to quickly convey an idea to someone (who may not be well versed in mathematics).
For example, if you save $10 a week and already have $50 in a savings account, then the equation you graph is y = 10x+50. Here x is the number of weeks and y is the amount saved.
Now let's say you want to find out how many weeks it would take to have $90 total. You could use guess and check to get the answer. Or you could use algebra and the substitution property. The visual way would be to graph y = 10x+50 and y = 90 together to note how the two lines intersect at (4, 90) to indicate it will take x = 4 weeks to have y = 90 total.
A telescope is on sale for $126. This represents a 30% discount. What was the original price of the telescope?
Answer:
163.80 hope this helped
Step-by-step explanation:
What is the slope of a line PERPENDICULAR to y = -x + 2.5
Answer:
M = -1
Step-by-step explanation:
A wire, 224 inches long, is cut into three pieces. The first is twice as long as the second.
The third is one-half as long as the second. How long is the second piece?
Answer:
64in
Step-by-step explanation:
first =2* second
second=2*third since the third is half of second
first =2*2*third=4*third
now lets put them all together
first+second+third=224
4*third+2*third+third=224
7*third=224 so the third part is 32
but we need the second piece
2*32=64
Three restaurants sell turkey sandwiches in a small town: Delicious Deli, Garden Fresh, and Uptown Eatery.
Delicious Deli sells 5 turkey sandwiches for $20.00.
Garden Fresh sells 2 turkey sandwiches for $8.50.
Uptown Eatery sells 3 turkey sandwiches for $13.50.
The graph shows Delicious Deli’s turkey sandwich sales, where x represents the number of turkey sandwiches sold, and y represents the total cost.
Answer:
$4 per Turkey
Step-by-step explanation:
Look on the graph and follow every number to the cost:
2 Turkeys: $8
4 Turkeys: $16
5 Turkeys: $20
Notice how there is a Pattern:
8, 16, and 20 are all multiples of 4
4 x 2 = 8
4 x 4 = 16
4 x 5 = 20
So, the constant of proportionality for the coast per sandwich and Delicious Deli is $4
Question 6 (2 points)
Use the graph to find the value of f(x) when x=1 for the function f(x)=x2-5.
what is 8/5+ (-1/3)
Answer:
19/15
Step-by-step explanation:
Which graph represents the equation -5x+4y>-1?
======================================================
Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.
[tex]-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\[/tex]
This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
-4x - 5y = 3
4x+8y=-24
Answer:
damm this looks hella hard
Step-by-step explanation:
Answer:y=-7, x=8
Step-by-step explanation:add two equations together, 4x+-4x and -5y + 8y, and so 3y=-21, and you get y and go on from there, getting the answer.
Select the table that represents a linear function. (Graph them if necessary)
Answer:
b
Step-by-step explanation:
help ASAP part 3/9
math
Answer:
Step-by-step explanation:
12-3y<27
-3y<15
divide by negative 3. note: when you divide by a negative, the inequality sign flips
y>-5
HELP PLEASE will mark brainly
Answer:
.6 is more than 1/2
.34 is less than 1/2
.812 is more
.9 is more
.099 is less
Step-by-step explanation:
1/2 as a decimal is .5 so anything larger than it will be .51 or greater and anything less will be .49 or less
Answer:
.6 is more than 1/2
.34 is less than 1/2
.812 is more than 1/2
.9 is more than 1/2
0.99 is more than 1/2
Step-by-step explanation: What is 1/2? 0.5. Look at the tenths place. Is the tenth higher than 5 or less than 5? But here is a warning: If you are comparing 1/2 and 1.4, 1.4 is greater than 1/2 because 1/2 is less than 1.
Q1.is the given value of the variable , s, a solution to the inequality?s > -2.25; s = -2.2
1.yes 2.no
Q2.which value of the variable is a solution of the inequality?t > -7
1. -9
2. -8
3. -7
4. -6
Answer:
1.Yes
Step-by-step explanation:
The high temperature on Saturday was 15.5 degrees Fahrenheit. The temperature dropped 21.3 degrees by Sunday morning
Then it increased by 7.9 degrees by noon on Sunday. What was the temperature then?
Answer:
1.7 degrees fahrenheit
Step-by-step explanation:
Keeley ordered 240 T-shirts to sell at the school carnival. She paid $3.20
per shirt, plus 5% of the total order for shipping. When she sells each T-
shirt at the carnival, she adds a 150% markup to the total price she paid for
the shirt (including the cost of shipping). What is the selling price of each T-
shirt?
Answer:
We have 200 shirts
Cost $2.80 each
plus a 5% charge for shipping.
Selling price
150% markup
Recall when we use percentages, we need to express them as decimals.
Michelle's cost for each shirt was
2.80 (1.05) = 2.94
The markup is
2.94 (1.50) = 4.41
The markup is added to the cost to get the final selling price.
2.94 + 4.41 = $7.35
Michelle will sell each shirt for $7.35.
Let’s reword the question to make it simpler to understand:
Keeley pays $3.20 per shirt + 5% for shipping.
She sells them at the carnival for 150% the price she paid.
First of all we should work out how much the 5% shipping cost Keeley.
If the shirts are $3.20 that means 10% is $0.32, to get 5% we divide that by 2. This means 5% is $0.16, therefore shipping is $0.16.
The total price Keeley pays per shirt is $3.20 + $0.16 = $3.36.
Now let’s find out 10% of $3.36, which is $0.336, then multiply that by 15 to get 150%:
5.04
Therefore Keeley sells each shirt for $5.04
Alicia has been putting her money from work into her savings account. The equation f(x)=13x+100 can be used to represent the increase of money to her savings account. Find f(18).
Answer:
f(18)=334
Step-by-step explanation:
f(x)=13x+100f(18) = 13(18)+100f(18)=234+100f(18)=334convert 7yd 2ft = ____ft
Answer:
23 feet
Step-by-step explanation:
1 yard = 3 feet, so 7 yards is 21 feet, plus 2 is 23 feet.
Estimation helps you check your answer by seeing if the estimate is close to the result you got. ... Estimation is useful when finding actual products and solving real-world problems because if your actual answer is close or exactly what you had estimated your answer will most likely be correct.
Answer:
Estimation is useful when finding actual products and solving real-world problems because if your actual answer is close or exactly what you had estimated your answer will most likely be correct.
Answer:
nuggts
Step-by-step explanation:
Write the equation y = 4x – 20 in Standard Form (AX + By = C) with integer coefficients
HELP ASAP PLEASE
=============================================
Work Shown:
y = 4x - 20
4x - 20 = y ...... swap both sides
4x = y + 20 ..... adding 20 to both sides
4x - y = 20 .... subtracting y from both sides
The equation is now in standard form (Ax+By = C) where,
A = 4B = -1C = 20What’s 0.2 repeating as a fraction?
Answer:
1/5
Step-by-step explanation:
Answer:
1/5 are you joking?
Step-by-step explanation:
mark spent 135$ on his comic book collection. he just sold it online for 310$. approximately what is the profit as a percent of his original cost?
A 56%
B 130%
C 44%
D 230%
Answer:
It would be B
Step-by-step explanation:
310-135=175
175/135
Container A and Container B have leaks. Container A has 800 ml of water, and is leaking 6 mil per minute. Container B has 1,000 ml, and is leaking 10 mil per minute. Write and equation that would show how many minutes, m, it take for the two containers to have the same amount of water.
Answer:
50 minutes (I think)
Step-by-step explanation:
A= 800 - 6m
B = 1000 - 10m
800 - 6m = 1000 - 10m
4m = 200
50 = m
After a large storm, Pablo had 8 inches of water in his 30-foot by 40-foot
basement. His sump pump pumped out 200 cubic feet of water an hour.
Assuming no more water seeped into the basement, how long would it
take to pump all the water out of the basement? *
Step-by-step explanation:
After a large storm, Pablo had 8 inches of water in his 30-foot by 40-foot
basement. His sump pump pumped out 200 cubic feet of water an hour.
Assuming no more water seeped into the basement, how long would it
take to pump all the water out of the basement? *
A number x is less than 8 or at least 4.
Answer:
8>x≥4
Step-by-step explanation:
x cannot be greater than 8 but is greater than or equal to 4
The point slope form of a line with a slope of 2 through (1, 4) is y – 4 = 2(x – 1).
Group of answer choices
True
False
Answer:
TRUE
Step-by-step explanation:
y-4 = 2(x-1)
here, 4 is representing the y value and 1 is representing the x value.
And the slope is 2.
1 1/4 hours is = how many minutes
Answer: 75 minutes
Step-by-step explanation:
Answer:
75 minutes
Step-by-step explanation:
1 hour= 60 minutes
1/4 of an hour= 25 minutes
1 1/4= 75 minutes
Hope this helped!
What is the equation of the function shown in the graph provided?
f(x)=?
Answer:
f(x)=3x
Step-by-step explanation:
