MATHEMATICS HIGH SCHOOL

The cost of 5 litres of milk is Rs. 55. Tabulate the cost of 2, 4 and 10 litres of milk please help me complete the table​
The cost of 5 litres of milk is Rs. 55. - 1

Answers

Answer 1
Answer:

Answer:

The answer would be

22 Rs

44 Rs

110 Rs

Step-by-step explanation:

5 litres : 55 Rs

2 litres : y1

y1=2*55/5=22 Rs

4liters : y2

y2=4*55/5=44 Rs

10 litres : y3

y3=10*55/5 =110Rs

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a man has some hens and cows. if the number of heads is 48 and number of feet is 140. find the number of hens.
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Solve for a.
7a + 18 = 102
a =

Answers

7a+18=102
7a= 102-18
7a= 84
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From 126 ounces to 48 ounces as a percent

Answers

We have (126 - 48 )/126 = 62.5%;

Which logarithmic function has x = 5 as its vertical asymptote and (6, 0) as the x-intercept? (x is the variable.). The logarithmic function is f(x) = log ?

Answers

Answer: f ( x ) = log ( x - 5 )

Explanation:

1) Take g(x) = log (x) as the parent function

2) The horizontal asymptote of g(x) is x = 0, and the y-intercept is (1,0).

3) Then, translating the asymptote to x = 5, and the y-intercept to (6,0), means that the graph of the parent function is being shifted 5 units to the right.

4) The rule is that the translation of the function g(x) a constant value to the right, say it is k, results in the function f(x) = g(x - k).

5) Therefore, the logarithmic function searched is f(x) = g(x - 5) = log (x - 5), and that is the answer.

6) You can prove that log (x - 5) meets the two conditions:

i) \lim_(x \to \n5+) log(x-5) = - \infty, which means x = 5 is a vertical asymptote

ii) f(6) = log (6 - 5) = log (1) = 0 ⇒ point (6,0) is the x-intercept
The parent function:
f ( x ) = log x
Domain of a new function:  x ∈ ( 5, +∞ )
Answer: f ( x ) = log ( x - 5 )

You deposit $4000 in an account earning 6% interest compounded continuously. How much money will you have in the account in 15 years?

Answers

Answer:

9586.232772

$4000×1.06( to the power of 15)=9586.232772

I used 8 bags of sand for 12m squared, How much will I need for 15m squared?

Answers

8 bags - 12 m²
x bags - 15 m²

x=(8\cdot15)/(12)\nx=10

10 bags.

Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).

Answers

Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex
using given coordinates of vertex:
y=A(x-1)^2-13
using given coordinates of y-intercept:
-11=A(0-1)^2-13
A=2
Equation of parabola: y=2(x-1)^2-13
x-intercepts

set y=0
0=2(x-1)^2-13
2(x-1)^2=13
(x-1)^2=13/2
x-1=±√(13/2)
x=1±√(13
1. find equation

general solutions are:
y = a x^(2) +bx +c \n \n (dy)/(dx) = 2ax +b

for P(0,-11)

-11 = 0a + 0b +c ⇒c = -11

for p(1,-13)
-13 = 1a + 1b -11 \n a+b = -2

and

0 = 2a + b \n b = -2a

solve for a and b:
a - 2a = -2 \n a = 2 \n b = -4

the total equation is now:

y = 2 x^(2) -4x -11

To find the x-intercept set y=0 and solve for x

0 = 2 x^(2) -4x-11
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