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jeka94
3 years ago
8

what is the slope of the line below is -5. which of the following is the point-slope form of the line (2,-1)​

Mathematics
2 answers:
Debora [2.8K]3 years ago
7 0

Answer:c.

Step-by-step explanation:

ZanzabumX [31]3 years ago
5 0

Answer:

Step-by-step explanation:

C

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I need help please.
Ivan

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.


4 0
3 years ago
Please answer this multiple choice question CORRECTLY for 30 points and brainliest!!
strojnjashka [21]

The area of one face would he h^2.

There are 6 faces, so the total surface area would be h^2 x 6

Replace total surface area with 2.16, so you now have:

2.16 = h^2 x 6

Now we can solve for h.

Divide both sides by 6:

h^2 = 2.16/6

Take the square root of both sides:

h = √2.16/6

The answer is A.

4 0
3 years ago
What is the volume of the figure?
Elan Coil [88]

Answer:

52

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
V varies inversely with T and V=12 when T=6. Which equation shows this relationship
hodyreva [135]

Answer:

D

Step-by-step explanation:

Given V varies inversely as T, then the equation relating them is

V = \frac{k}{T} ← k is the constant of variation

To find k use the condition, V = 12 when T = 6

k = VT = 12 × 6 = 72

V = \frac{72}{T} ← equation of variation

5 0
3 years ago
Say that you (or your parents) are purchasing a used car for $19,850. The sales tax is 7.5%, the down payment is $1,000.00, and
IgorLugansk [536]
We are NOT told  1) the finance charge and 2) the amount of time
<span> <span> 19,850.00 <span> Car Price
+1,488.75 Sales Tax </span> <span>
</span><span> -1,000.00 Down Payment
</span> 20,338.75 </span> </span> This is the amount being financed

Using a loan calculator http://www.1728.org/calcloan.htm
We see that if the loan is for 9.382% and it is for 5 years,
Then the monthly payment is $425.98
We will make 60 (12 months * 5) monthly payments resulting in a total loan cost of 425.98 * 60 =
  <span> <span> 25,558.80 </span> </span> Total Loan Cost
-20,338.75  Money Being Financed

   5,220.05  Five Year's Interest
********************************************************************
THIS ISN'T EXACTLY RIGHT - SCROLL TO THE BOTTOM
So, 5,220.05 / 60 = Interest Paid each month.
= $87.00

So,
425.98
 -87.00
<span> <span> 338.98 </span> </span> Each month goes toward the principal.
******************************************************************************************
Although, the monthly payment remains exactly the same each month, the amount going toward interest and the amount going to equity (what you own), changes drastically each month.
See the mortgage calculator
http://www.1728.org/mortmnts.htm

So, your first payment, of 452.98 pays for $159.02 in interest and $266.95 in principal.


5 0
3 years ago
Read 2 more answers
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