1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miss Akunina [59]
3 years ago
15

Suppose f(7) = 5​, f'(7) = 8​, g(7) = 3​, and g'(7) = 4. Find h(7) and h'(7)​, where h(x ) = 4f (x) + 3g(x).

Mathematics
1 answer:
dusya [7]3 years ago
7 0

Answer:

h(7) = 29

h'(7) = 44

Step-by-step explanation:

If h(x) =4f(x)+3g(x), to find h(7) we can substitute the values of f(7) and g(7) and we get:

h(7)=4f(7)+3g(7)\\h(7)=4(5)+3(3)\\h(7)=20+9\\h(7)=29

To find the derivative, we know that the derivative of a sum of functions equals the sum of the derivatives of those functions.

This would mean that h'(x)=4f'(x)+3g'(x), we can substitute the values for f'(7) and g'(7)

h'(7)=4f'(7)+3g'(7)\\h'(7)=4(8)+3(4)\\h'(7)=32+12\\h'(7)=44

You might be interested in
I HAVE ASKED THIS THREE TIMES. PLEASE ANSWER <3
Andru [333]

Answer:

Step-by-step explanation:

For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:

f(x) = 7(3/14) + 2

f(x) = 21/14 + 2

f(x) = 49/14

f(x) = 7/2

For part b, we take the input of -3 into the second function and solve the equation:

h(x) = 4(-3)^2

h(x) = 4(9)

h(x) = 36

For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.

8 0
3 years ago
Read 2 more answers
Combine like terms 4a2-3b2+ 4b + 10a2
jolli1 [7]

Answer:

14a² - 3b² + 4b

Step-by-step explanation:

Like terms are the terms that have similar stuff on it, like same variables, no variables, and stuff like that.

4a2-3b2+ 4b + 10a2

4a² and 10a² is similar. 4a² + 10a² = 14a²

Now, the equation is 14a² - 3b² + 4b. There is no more like terms left, so that is the answer.

Hope this helps!!

-Ketifa

4 0
3 years ago
Help please asap!! will mark correct answer first brainliest! 25 POINTS.. FIRST SOLVE THE QUESTION WITH THE PICTURE THAN THE ONE
NemiM [27]

1. Eyeballing the data, the best fit will be pretty close to a line between the leftmost point and the rightmost point.

We estimate those points as (4,220) and (28,470)

The point point form for a line joining (a,b) and (c,d) is

(c-a)(y-b) = (d-b)(x-a)

(28 - 4)(y - 220) = (470 - 220)(x - 4)

24(y - 220) = 250(x-4)

24y - 5280 = 250x - 1000

24y = 250 x + 4280

y = (250/24) x+ (4280/24)

Approximately that's,

y = 10.4 x + 178

Answer: 4th choice, 10.4x + 180

2. For 48 wheelbarrows,

y = 10.4(48)+180 = 679.2

Answer: 679.2 liters of sand

4 0
3 years ago
Divide. Give the quotient and the remainder<br> 1493/6
mrs_skeptik [129]

Answer:

248 with remainder 5

Step-by-step explanation:

thats it

6 0
2 years ago
What is 3.57 as a fraction
Ainat [17]
357/100
because .57 is the same as 57 hundriths which translates to 57/100. Now you have 3 and 57/100 and to make thing into an improper fraction you follow these steps.
1. mulitply the whole number (the number in front on the fraction) by the denominator (the lower part of the fraction). In our case, multiply 3 and 100. You get 300.
2. Add your answer to the numorator (the upper part on the fraction). 300 plus 57 equals 357.
3. Use your answer as the new numorator and keep the original denomanator.
Answer: 357/100
3 0
3 years ago
Other questions:
  • Write 3.29 as a fraction or a mixed number
    11·2 answers
  • Which undefined terms are needed to define perpendicular lines?
    7·2 answers
  • Choose all the expressions that have a quotient of 3/4
    5·1 answer
  • Brainliest please help! A storage bin is a rectangular prism. Its volume is 300 cm cubed.
    12·2 answers
  • In which quadrant are the x coordinates and the y coordinants of a piont both negitive
    7·2 answers
  • Solve the inequality. 9n ≤ –27
    9·1 answer
  • Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x -
    13·1 answer
  • Graph the function d(x) = |x|- 4
    7·1 answer
  • What is the definition of an irrational number?
    9·2 answers
  • My question is to write 32 in the form 2n
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!