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
Umnica [9.8K]
3 years ago
7

I need help please.

Mathematics
1 answer:
Ivan3 years ago
4 0

1. It is given that f(x) is 16 times the square root of x.

Putting that in mathematical terms we have,

f(x) = 16 * \sqrt{x}

also, y = f(x)

So, we have the function

y= 16 \sqrt{x}

4. We need to solve the inequality equation : 4x + 2y ≤ 6

Let us take the equation,

4x+2y ≤ 6

2y ≤ 6-4x

y ≤ \frac{6-4x}{2}

y ≤ 3-2x

So, any point (x,y) lies on the given inequality region, where y≤ 3-2x

5. Solving system of equations using addition method

Given:

-5x-y =38          ------> a

-6x-3y =60       -------> b

Divide the equation b by no. 3

(-6x-3y)/3 = 60/3

-2x-y = 20      -------> c

Subtracting equation c from a we have,

-5x-y - (-2x-y) = 38 - 20

-5x-y+2x+y = 18

-3x = 18

x = -6

Now, substituting the value of x in equation a, we get

-5(-6) - y =38

30-y =38

y= 30-38 = -8

y=-8

∴ x = -6 and y = -8

6. Finding composition of functions

Given : f(x) =15x + 7 ; g(x) = x² - 5x

To find : (f+g)(x)

(f+g) (x) = f(g(x))

So, replace the value of x in f(x) by g(x), where g(x)= x² - 5x

(f+g)(x) = 15(x²-5x) +7 =15x²-75x+7

∴ (f + g)(x) = 15x²-75x+7

7. System of 3 equations must be solved to find the solution

-8x-8y-5z=-6

7x-8y-9z =17

9x+2y+6z =-1

Solving by substitution method.

Isolate x from first equation :

x= (-6+8y+5z)/(-8)

Substitute this value of x in 2nd and 3rd equations.

7 (- \frac{-6+8y+5z}{8})-8y -9z = 17

9(- \frac{-6+8y+5z}{8}) + 2y + 6z = -1

Now, isolating y from the 2nd equation rewritten above, we have

y= - \frac{107 z + 94}{120}

Now substituting this value of y in the 3rd equation rewritten above, we have

9(- \frac{-6+8(-\frac{107 z + 94}{120})+5z}{8}) + 2(-\frac{107 z + 94}{120}) + 6z = -1

Isolating z from above equation, we have

z = -2

Substitute z= -2 in the equation of y, we have

y= - \frac{107 (-2) + 94}{120} = 1

y = 1

Substituting the value of y and z, in the equation of x, we have

x= (-6+8(1)+5(-2))/(-8) = 1

x = 1

∴ x=1 ; y = 1 ; z = -2

8. 5x ≤ 7

Solving the above equation, we have

x ≤ 7/5

Please see attachment for the graph.

9. The given function is : g(y) = \sqrt{y} -6

The domain is the set of values of y for which there can be a value of g(y).

Here g(y) can be real only if y is greater than or equal to 0.

∴ The domain of the given function is [0,∞) .

10. Given : y is a function of x.

Definition of function : A function is a relation that associates each element in the domain to one element of another set, the co-domain of the function.

∴ For each element x, in the domain, there is only one value of y in the range.


You might be interested in
In a classroom,
Gelneren [198K]

Answer:

3 students in blue and 12 in white

Step-by-step explanation:

set 1/6 and 2/3 of it and you need to find that of 18

so you take 2/3*18 and get 12 students

and 1/6*18 and get 3 students

7 0
2 years ago
What affect does h = -2 have on the parent function y=1/x Graph moves 2 units up Vertical stretch by a factor of |-2| Graph move
Marat540 [252]
Y = 1/(x - -2)
y = 1/(x + 2)
I moves the graph 2 units to the left
3 0
3 years ago
3/5 of 7 pls help shshshshs
vaieri [72.5K]

Answer:

11.6666666667

Step-by-step explanation:

First you multiply 7 by 5

7x5=35

Then you divide 35 by 3

35/3 = 11.6666666667

4 0
2 years ago
What is y=x by a vertcal stretch of 5
kakasveta [241]

Answer: The vertical stretch of 5 in the equation y = x is defined by y=5x.

Explanation:

The given equation is,

y=x

It can be written as,

f(x)=x

The function is defined as S\cdot f(x).

If S\geq 1, then  the function has a vertical stretch by a factor of S units.

If 0, then the function has a vertical shrink by a factor of S units.

Since we have to find the vertical stretch of 5 in the equation y = x.

y=5f(x)

y=5x

The below figure shows the graph of y = x and y=5x.

7 0
3 years ago
You offer to do the dishes for your family for the next month. You suggest that they can pay you in one of three ways.
Sophie [7]

Answer:

I say number 2

Step-by-step explanation:

0.02 is 2 cents while 0.20 is twenty sense. That would make more sense

5 0
3 years ago
Read 2 more answers
Other questions:
  • Can anyone help me out with this problem and help me understand it a little better please.
    14·1 answer
  • How to do the work for 0.0338÷1.3
    10·1 answer
  • 3-74. Mentally calculate the following products.  Use the rule for decimal multiplication to write an equation in which the deci
    5·2 answers
  • Triangle ABC is reflected over the line y = 1. What are
    7·1 answer
  • On a map, the distance from Happy Hill Park to Rainbow Valley Park is 4/1/2 inches. The scale is 1/2 inch: 3 miles. What is the
    13·1 answer
  • Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduatio
    9·1 answer
  • Org/profile/kaid 327824130468600137828620/assignments/teacher/kaid 481681461105632011583113/class/600571
    14·1 answer
  • Question is in png pls some1 help !
    14·2 answers
  • 3.) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.
    14·1 answer
  • Patrick has some rocks. He decides to give them to a group of children. There are fewer than 10 children in the group. If he giv
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!