Mr. Livingston drove 375 miles using g gallons of gas. Write an

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms o

schepotkina [342]

C) six times log base two of x times seven times log base two of y minus log base two of eight.

5 0

4 years ago

HELP PLS the dimensions of an triangle are shown

solong [7]

Answer:

Answer is B ( 314.9 m2)

Step-by-step explanation:

A= H(B)/2

A= 25.6(24.6)/2

A= 314.88

6 0

3 years ago

Graph the function Need help ASAP plz

sattari [20]

Given:

The equation of a function is

$y=(x-4)^2+1$

To find:

The graph of the given function.

Solution:

The vertex form of a parabola is

$y=(x-h)^2+k$ ...(i)

Where, (h,k) is vertex of the parabola.

We have,

$y=(x-4)^2+1$ ...(ii)

From (i) and (ii), we get

$h=4, k=1$

The vertex of the parabola is (4,1).

Now, the table of values is

x y

2 5

3 2

4 1

5 2

6 5

Plot these points on a coordinate plane and connect them by a free hand curve.

The graph of given function is shown below.

5 0

3 years ago

Can you help me please with this proof ? thank you!!

Alika [10]

Answer:

what subject is this? or what

4 0

3 years ago

NEED HELP FOR THIS QUESTION

const2013 [10]

Answer:

(a) A = 0.00278787878787878x

(b) B = 0.00235294117647058x + 3

(c) The answers are as follows:

For buying by credit card

For 700 BWP: Cost = A = £1.95

For 800 BWP: Cost = A = £2.23

For 800 BWP: Cost = A = £2.79

For buying from a Bureau de Change

The equation (4) is used as follows:

For 700 BWP: Cost = B = £4.65

For 800 BWP: Cost = B = $4.88

For 1000 BWP: Cost = B = £5.35

(d) You would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

Step-by-step explanation:

(a) by credit card

For the exchange rate, we have:

8.25 BWP = £1 ⇒ 8.25 / 8.25 BWP = £1 / 8.25 = 1.00 BWP = £0.121212121212121

The expression can therefore be written as follows:

A = £0.121212121212121 * r * x ................. (1)

Where;

A = cost (including commission) of buying a particular number of Botswana pulas by credit card

r = commission on a credit card transaction = 2.3%, or 0.023

x = the number of pulas bought

Substituting for r into equation (1), we have:

A = £0.121212121212121 * 0.023 * x

A = 0.00278787878787878x ................. (2)

Equation (2) is the expression.

(b) from a Bureau de Change

For the exchange rate, we have

8.5 BWP = £1 ⇒ 8.5 / 8.5 BWP = £1 / 8.5 = 1.00 BWP = 0.117647058823529

B = (£0.117647058823529 * r * x) + F ................. (3)

Where;

B = cost (including commission) of buying a particular number of Botswana pulas by from a Bureau de Change.

r = commission charged by Bureau de Change. = 2%, or 0.02

x = the number of pulas bought

F = fee = £3

Substituting for r and F into equation (3), we have:

B = (£0.117647058823529 * 0.02 * x) + £3

B = 0.00235294117647058x + 3 ................. (4)

Equation (4) is the expression.

c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.

For buying by credit card

The equation (2) is used as follows:

For 700 BWP: A = £0.00278787878787878 * 700 = £1.95

For 800 BWP: A = £0.00278787878787878 * 800 = £2.23

For 800 BWP: A = £0.00278787878787878 * 1000 = £2.79

For buying from a Bureau de Change

The equation (4) is used as follows:

For 700 BWP: B = (£0.00235294117647058 * 700) + £3 = £1.65 + £3 = £4.65

For 800 BWP: B = (£0.00235294117647058 * 800) + £3 = £1.88 + £3 = $4.88

For 1000 BWP: B = (£0.00235294117647058 * 1000) + £3 = £2.35 + £3 = £5.35

d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.

This can be calculated by equating equations (2) and (4) and then solve for x as follows:

0.00278787878787878x = 0.00235294117647058x + 3

0.00278787878787878x - 0.00235294117647058x = 3

x(0.00278787878787878 - 0.00235294117647058) = 3

x0.0004349376114082 = 3

x = 3 / 0.0004349376114082

x = 6,897.54 pulas

Therefore, you would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.

5 0

3 years ago