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4 years ago

Let f be an exponential function and g be a logarithmic function.

Mathematics

1 answer:

love history [14]4 years ago

8 0

Good evening ,

______

Answer:

1) (f+g)(1) = e

2) (fg)(1) = 0

3) (3f)(1) = 3e

___________________

Step-by-step explanation:

1) (f+g)(1) = f(1) + g(1) = e¹ + log1 = e + 0 = e.

2) (fg)(1) = f(1) × g(1) = e¹ × log(1) = e¹ × 0 = e × 0 = 0.

3) (3f)(1) = 3×f(1) = 3×e¹ = 3e.

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A system of linear equations is graphed. which ordered pair is the best estimate for the solution to the system?

OLga [1]

Answer:

The answer that gives the best estimate is (1,1)

Step-by-step explanation:

i) As can be seen on of the lines intercepts the y axis at (0,-1). So the y

intercept or $c_{1}$ = -1. Therefore the equation for this line can be written as

y = $m_{1}$ x + $c_{1}$ ⇒ y = $m_{1}$ x - 1 . It can also be seen from this graph that the

line passes through the point (2 , 2). Substituting these values for x and y

respectively we get 2 = 2 $m_{1}$ - 1 ∴ $m_{1}$ = $\frac{3}{2}$ . The equation of the first line

can be written as y = $\frac{3}{2}$ x - 1 ⇒ 2y - 3x = -2

ii) As can be seen on the other line the intercept on the y axis is at (0,2). So

the y intercept or $c_{2}$ = 2. Therefore the equation for this line can be

written as y = $m_{2}$ x + $c_{2}$ ⇒ y = $m_{2}$ x + 2 . It can also be seen from this

graph that the line passes through the point (1 , -1). Substituting these

values for x and y respectively we get 1 = 1 $m_{2}$ + 2 ∴ $m_{2}$ = -1 . The

equation of the second line can be written as y = - x + 2 or x + y = 2

iii) Solving the two equations of the two lines respectively as found in i) and

ii) we get y = 0.8. We multiply equation in ii) by 3 to get 3x + 3y = 6 and

when we add this to equation in i) we get 5y = 4 which means that y = 0.8.

If we substitute this value in ii) we get 0.8 + x = 2 , therefore x = 1.2.

iv) Therefore we get the solution of the two lines, which is the intersection

of the two lines as (1.2, 0.8). So the answer that gives the best estimate

is (1,1)

6 0

4 years ago

HELP I WILL MARK YOU BRAINLIEST PLEASE

valkas [14]

Question: Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?

Answer: $4.90

Steps: Step 1: Find operation: The operation in this problem is subtraction because words such as "spent" means that she used money, meaning we subtract.

Step 2: Figure out order of numbers: Now that we know that the operation is subtraction, we need to know what numbers to subtract. The problem says that Mai had $14.50, which means that this is the total amount of money she had when she started. Spent means that Mai used money, so this means that we subtract like this: $14.50-$4.35-$5.25.

Step 3: Subtract: Now that we know what operation to use, and what order to use the numbers, we can finish the problem:

--------------------------------------------------------------------------------------------------------------

Question: Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?

Answer: 13.25

Steps: 1: Find operation: To solve this question, we need to find the operation. Words such as "same amount each week" mean that this is division.

Step 2: Figure out order of numbers: Now, we need to figure out what to divide by. We divide 384.25 by 29 because it say that she rides 384.25 miles over 29 weeks.

Step 3: Divide: Now, we will solve the equation: 384.25 divided by 29 is 13.25, so the answer is 13.25.

Hope this helps you!

P.s. Sorry I could not show how to divide 384.25 by 29.

8 0

3 years ago

2c+3d+2c+6d get it correct mark brainliest

Volgvan

Answer:

4c+9d

Step-by-step explanation:

group together the twos to get four and the 3 and the 6 to get 9.

7 0

3 years ago

If m <br> please explain not sure

ozzi

if m what? I'm confused

8 0

3 years ago

What is the slope of Y= 1/2x+3

NISA [10]

Answer:

the slope is equal to one half ot 1/2

3 0

3 years ago

Read 2 more answers