Let f(x) = x*g(h(x)) where g(4) = 2, g'(4) = 3, h(3) = 4, and h'(3) = -2. Find f'(3).
By the product and chain rules,
f'(x) = g(h(x)) + x g'(h(x)) h'(x)
Then
f'(3) = g(h(3)) + 3 g'(h(3)) h'(3)
f'(3) = g(4) + 3 g'(4) (-2)
f'(3) = g(4) - 6 g'(4)
f'(3) = 2 - 6(3)
f'(3) = -16
if the sum of three consecutive intergers is 75, what is the greatest of the integers
Answer:
24,25,26
Step-by-step explanation:
Answer:
Step-by-step explanation:
25
Write down the equation of a line whose slope is 5 and crosses the y-axis at -6. Express in slope-intercept form.
Answer:
Y= 5x-6
Step-by-step explanation:
The slope intercept form is y=mx+b. The m stands for your slope. The b stands for the y-intercept. So, plug in the slope of 5 for m, then plug in -6 of b and then your equation should end up as y=5x-6. Hope this helps :)
Proportions and Percents: solve using a proportion or an equation
Due to inflation, a used Mercedes has gone up 22% from its original price of 48,000 dollars. How much does the car cost now?
Answer:
$58,560
Step-by-step explanation:
First step: set up your proportion equation. Keeping the percents on the bottom, I set it up as $48,000/100% = $x/122%. I'm writing it as 122% rather than 22% so we don't have to add the increase in price to the original price later. You can see that, in order to get from 100 to 48,000, you need to multiply by 480, so you can do this to 122 to get x. Your teacher might, instead, want you to cross multiply. Do what's expected of you. Either way, your result should be $58,560. Check that it makes sense by checking that it's an increase and that it looks reasonable for the amount of the increase and you're done.
solve for x 3(x+2)
24
Answer:
X=6
Step-by-step explanation:
NEED THIS BY TMRW, PLEAse HELP!
A manufacturer claims that their cans of paint contain exactly 130 fluid ounces of paint. The amount of paint in each can of paint must be accurate within ±3.05 fluid ounces of the actual amount of paint. a. Write an absolute value inequality to represent the possible amount of paint, in fluid ounces, p for which the manufacturer’s claim is correct. b. Graph the solution set of the inequality you wrote in part a.
Answer:
3.0232 ounces per can of paint and 43 cans in 130 ounces of fluid
Step-by-step explanation:
130 ounces of fluid divided by ±3.05 and for me it was easier to reach by approximation
Which number has a terminating decimal expansion?
A. 2/7
B. V12
C. 5/8
D. 2/11
Answer:
C. 5/8
Step-by-step explanation:
A terminating decimal is a decimal that has a clear end. 5/8 as a decimal is 0.625. The rest have decimals that seemingly do not end.
11
In a shop, the normal price of a coat is £65.
The shop has a sale.
In week 1 of the sale, the price of the coat is reduced by 20%
In week 2 of the sale, the price of the coat is reduced by a further £10.
Maria has £40.
Does Maria have enough money to buy the coat in week 2 of the sale?
You must show how you get your answer.
Answer:
hope this helps plz mark brainliest
Step-by-step explanation:
Hence Maria does not have enugh money to buy the coat in week 2 of the sale
Normal price of a coat : 65
As in week 1 of the sale = 65 - 20/100 x 65
= 65 - 13 = 52
Also in week 2 of the sale the price of the coat is reduced by a futher 10
At the basketball game, Leo scored points in 30% of his attempts. Which of the following statements is true?
A- Leo scored points in more than 1/3 of his attempts.
B- Leo scored points in 1/4 of his attempts.
C- Leo scored points in 3/10 of his attempts,
D- Leo scored points in less than 1/6 of his attempts.
THIS IS FOR A TEST, PLEASE HELP
Answer:
C. Leo scored points in 3/10 of his attempts
Step-by-step explanation:
30% is 30/100
Which can simplify to
3/10
Evaluate the expression for x =-2 and y=-3 and choose its value.
x2 - y2
Step-by-step explanation:
x = -2
y = -3
= x² - y²
= (-2)² - (-3)²
= 4 - 9
= -5
Help me please I need urgent help like fast
Answer:
Step-by-step explanation:
Answer:
B, c, F are true
Step-by-step explanation:
After dilation,
The angles will be similar to the original. So, they are similar triangles.
The dilated triangle may be increase or decrease in length of the sides.
Use order of operations to solve (15 ÷5) + 9 + (14 - 5 ) x 3
Answer:
39.
Step-by-step explanation:
(15 ÷5) + 9 + (14 - 5 ) x 3
= 3 + 9 + 9 x 3
= 3 + 9 + 27
= 39.
A restaurant offers delivery for their pizzas and includes the delivery fee in the total price of the pizzas.
One customer pays $$ to have $$ pizzas delivered.
Another customer pays $$ for $$ pizzas.
How many pizzas are delivered to a customer who pays $$?
the local water slides have 60 employees of which 90% are temporary how many temporary employees are there?
Answer:
54 temporary employees are there
Step-by-step explanation:
90 percent of 60 = 54
Hope this helped!
can u get the limit of this !!
No my brain hurts from looking at that, maybe tomorrow...
What is the solution to x 4 – 12x 2 + 10 > 0?
Answer: The picture contains the answer and the steps
Ezra enjoys gardening Every Sunflower plant he waters requires 0.7 liters of water, and every lily plant he waters requires 0.5 liters of water. He graphs
the number of surfower plants (S) and number of lily plants (L) to determine how many of each plants he can water with at most 11 liters
Which type of boundary line she he use in his graph?
Answer:
the answer is 8
Step-by-step explanation:
yes Ezra can plant 8 sunflowers
hope this helpsss :)
Jake needs to buy 120 beverages for a party. What equation, in standard form, determines the number x of 12-packs of juice and the number y of 8-packs of water that Jake can buy.
Answer:
y=mx+b
Step-by-step explanation:
1. Identify the equation that has the same slope as the points (0, -3) and (-1, 1)
1. y= 3x+2
2. y= -4x-3
3. y= x+1
4. y= -x+2
Answer:
2. y= -4x-3
Step-by-step explanation:
y=mx+b
slope :m
(0,-3) : m.0+b=-3 => b=-3
(-1,1) : m.1+b= 1 => m=-4
How do I figure this out
Answer:
x = 21Step-by-step explanation:
Given triangle is equilateral since all three angles marked as congruent.
It means each interior angle measures 60°.
The angle (5x + 15)° is exterior angle.
We know exterior angle measure is same as the sum of non-adjacent interior angles:
5x + 15 = 60 + 605x + 15 = 1205x = 120 - 155x = 105x = 105/5x = 21Complete the given ordered pairs for the equation.
Y=3x+1
(6,__)
(0,__)
(-5,__)
Answer:
y=3x+1
(6, 7)
(0,1)
(-5,-14)
7⋅5+42−23÷47⋅5+42−23÷4
49
41
34
9
Answer:
112.765789 ect
Step-by-step explanation:
Please help !!!!!!!!
Answer:
Step-by-step explanation:
question 4
Which missing value makes these fractions equal?
2/5 = 4/?
Write the equation of a line that is perpendicular to x=5.
Write the equation of a line that is parallel to 4x+3y=1.
Write the equation of a line that is perpendicular to x-5y=2
Write the equation of a line that is perpendicular to x=5.
x=5 is a straight line going through 5 on the x axis. A line perpendicual to this will be any line parallel to the x axis. This would mean y=[Any Number]. Pick what you want for [Any Number}, but I'll choose my lucky number, 6.
y =6
Write the equation of a line that is parallel to 4x+3y=1.
A parallel line have the same slope, so we can start by rewriting the equation in standard form of y=mx + b, where m is the slope and b the y-intercept (the value of y when x=0):
3y = -4x + 1
y = -(3/4)x + (1/3)
The slope is -(3/4), so the new line will also have the nsame slope. Start by putting -(3/4) in the satandard format:
y = -(3/4)x + b
In the absence of any other information, we are free to pick whatever value we want for b, as long as it is not 1. I'll choose . . .
y = -(3/4)x + 6
Write the equation of a line that is perpendicular to x-5y=2
As before, rewrite into standard form:
-5y = -x + 2
y = (1/5)x + 2
A perpendicular equation will have a slope that is the negative inverse of the reference line. The negative inverse of (1/5) is -5. Now we have:
y = -5x + b
Since we aren't given any addition information, we can pick any b we want.
y = -5x + 6
See the attached graph.
Jessica can walk 1.5 kilometers in 30 minutes. How long will it take her to walk 2.5 kilometers?
Answer:
It will take her 50 minutes in total to walk 2.5 kilometers.
Step-by-step explanation:
You first start off by finding how long it take to walk 1 kilometer. In this case it takes 20 minutes to walk 1 kilometer. Then multiply 20 times 2.5. You then receive your final answer... 50 minutes.
Write this sentence as an inequality: a number m increased by 12 is less than 48
Answer:
m + 12 < 48
Step-by-step explanation:
Answer:
uuhh what are the questions
Step-by-step explanation:
(x)=4(x+3)(3x-8) in standard form
Answer:
12x² +3x = 96
Step-by-step explanation:
x = 4(x + 3)( 3x - 8)
x = (4x + 12) (3x - 8)
x = 4x(3x - 8) + 12(3x - 8)
x = 12x² - 32x + 36x - 96
x = 12x² + (-32x + 36x) - 96
x = 12x² + 4x - 96
0 = 12x² + 4x -x - 96
0 = 12x² + 3x -96
96 = 12x² + 3x same as 12x² +3x = 96
Identify whether the expression are equivalent or not. Write YES or NO and justify your answer
Answer:
no.
It is because 5*5=25
what is 15^{2} as a decimal point
Answer:
the answer is.... 0.133
Step-by-step explanation:
hope it helps :D
