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Sophie [7]
3 years ago
14

Which expression is equivalent to log 3(x+4)

Mathematics
1 answer:
larisa86 [58]3 years ago
6 0

Answer:

log 3(x+4) = log 3 + log (x+4)

Step-by-step explanation:

Because 3(x+4) is a product, log 3(x+4) = log 3 + log (x+4).

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The table below shows the amounts of lemon juice and sugar used in each container of lemonade. The ratio of lemon juice to sugar
stira [4]
1/2 : 1
2 : 4
3 : 6
Notice that every ratio consists of a number and double the number.

For 1/2 cup lemon juice, use 1 cup sugar.
The amount of sugar is twice the amount of lemon juice.

The ratio is 1:2
Since you are told the ratio is 1:r, that means r is 2.

The unit rate is 2 cups sugar per cup of lemon juice.
5 0
3 years ago
Read 2 more answers
Suppose that each day a company has fixed costs of 400 dollars and variable costs of 0.8x+1420 dollars per unit, where x is the
Bess [88]

Answer:

Step-by-step explanation:

Given that a company fixed costs are 400 dollars

and variable cost = 0.8x+1420 per unit and x the no of units produced

Selling price = 1500-0.25x per unit

a) Break even units

At break even units selling price = variable cost

1500-0.25x=0.8x+1420\\1.05x = 80\\x=76.19~76

Break even units = 76

b) Revenue = Sales - total costs

= x(1500-0.25x)-(x)(0.8x+1420)-400\\= 1500x-0.25x^2-0.8x^2-1420x-400\\= -1.05x^2+80x-400

Use derivative test to get max revenue

R'(x) = -2.10x+80

R"(X) <0

So maximum when I derivative =0 or when

x=38.10

x=38

c) price when x =38 is

P = 1500-0.25(38)\\=1490.5

5 0
3 years ago
What scale factor was used to dilate Figure A to get Firgure B
Whitepunk [10]
A scale factor of 3 was used
7 0
3 years ago
Read 2 more answers
What is the answer to this x + y = 16
Irina-Kira [14]

x + y = 16

y = -3x

x=-8

y=24

-8+24=16

16=16

-3(-8)=24

24=24

7 0
2 years ago
Two numbers are such that if 11 is added to the first number, a number twice
Bezzdna [24]

Answer:

The 2 numbers are 14 and 17.

Step-by-step explanation:

Let the 2 numbers be x and y.

x + 11 = 2y

x - 2y = -11...............A

y +20 = 2x

2x - y = 20 ...............B

Multiply equation A by -2:

-2x + 4y = 22............C

Adding B and C :-

3y = 42

y = 14.

Substitute y = 14 in equation A:

x - 2(14) = -11

x = -11 + 28

x = 17.

5 0
2 years ago
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