MATHEMATICS HIGH SCHOOL

Identify the domain of the exponential function shown in the following graph:Graph dropping sharply from up to the left, going through point 0, 1, then slowly approaching x axis.

−5 ≤ x ≤ 5
0 ≤ x ≤ 5
All real numbers
All positive numbers

Answers

Answer 1

Answer: Hello,

y=k*e^(-x) with k=1(1=k*e^(-0)) is defined for all reals.

Answer C

Answer 2

Answer:

Answer:

the answer is all real numbers

Step-by-step explanation:

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What is the solution to the linear system of equations?y = 3x + 1
y = –x + 5

A.
(2, 7)

B.
(0, 5)

C.
(1, 4)

D.
The system has no solution.

Answers

Hello,

Answer C

y=3x+1
y=-x+5
==>3x+1=-x+5
==>4x=4
==>x=1 and y=-x+5=-1+5=4

(1,4) is the solution.

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Answers

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Step-by-step explanation:

There are 5/6 as many black pants as blue pants in george's closet. There are 5/9 as many black pants as brown pants in his closet. What is the ratio of the number black pants to the total number of pants in his closet?

Answers

Answer is the ratio 1 : 4

Work Shown

x = number of black pants

y = number of blue pants

z = number of brown pants

x = (5/6)y

x = (5/9)z

z = (9/5)x

x+y+z = total number of pants

x+y+z = (5/6)y + y + (9/5)x

x+y+z = (5/6)y+y+(9/5)*(5/6)y

x+y+z = (5/6)y+y+(3/2)y

x+y+z = (5/6)y+(6/6)y+(9/6)y

x+y+z = ( (5+6+9)/6 )y

x+y+z = (20/6)y

x+y+z = (10/3)y

numberOfBlackPants : Total

(5/6)y : (10/3)y

6*(5/6)y : 6*(10/3)y

5y : 20y

5 : 20

1 : 4

The ratio of the number of black pants to the total number is 1 : 4

It means the total is 4 times that of the number of black pants.

Kwikset Enterprises sold 300 shares of stock at $12.34 per share. The underwriting commission was 5.8%. To the nearest cent, how much did Kwikset Enterprises make on its sale of stock, after subtracting the underwriting commission?

Answers

Kwikset has 300 shares in the stock. He sold it for 12.34 dollars per share:
So:
=> 300 * 12.43 dollars = 3702 dollars is the total money that she get after selling the stocks.
Now, it will be deducted by 5.8% commission.
=> 3702 * .058 = 214.716
=> 3702 - 214.716 = 3487.284 dollars
or -3487.28 dollars.

A scientist suggests keeping indoor air relatively clean as follows: provide 2 or 3 pots of flowers for every 100 square feet of floor space under a ceiling of 8 ft. If your classroom has an 8 ft ceiling and measures 35 ft by 40 ft, how many pots should it have?

Answers

First we calculate classroom surface:
35*40=1400 square ft
we know that for every 100 square ft 2 or 3 pots can be put
so 1400/100=14
14*2=28
14*3=42
we need 28 or 42 pots

√21 + √13 + √7 + √4 =