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3 years ago

Simplify: (5x-4)+(3-4x)

Mathematics

2 answers:

Gnom [1K]3 years ago

8 0

Answer:

x - 1

Step-by-step explanation:

(5x - 4) + (3 - 4x)

5x - 4 + 3 - 4x

x - 4 + 3

Zielflug [23.3K]3 years ago

4 0

Answer:

x - 1

Step-by-step explanation:

combine like terms

(5x -4x) = x

(-4 + 3) = - 1

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The function that represents bruce’s elevation in feet over time in hours is an exponential function that starts at 1,505 feet.

wariber [46]

Answer:

<h3>The function for Bruce’s elevation is $f(x)=1505(6)^x$ and because b=6 that is greater than 0, it is an exponential growth function.</h3>

Step-by-step explanation:

We have given initial Bruce’s elevation = 1,505 feet.

We know, the exponential function $f(x)=a(b)^x$ , where a is the initial value, b is the growth factor and x is the exponent represents time in hours.

Each successive hour, his average elevation change for the hike becomes 6 times the previous hourly elevation change.

Therefore, initial value a=1505, growth factor b for exponential function $f(x)=a(b)^x$ is 6.

Now we can plug a=1505 and b=6 in $f(x)=a(b)^x$ , we get

$f(x)=1505(6)^x$

Also note, if b>0, it would be an exponential growth function.

<h3>Therefore, the function for Bruce’s elevation is $f(x)=1505(6)^x$ and because b=6 that is greater than 0, it is an exponential growth function.</h3>

5 0

4 years ago

-4(j-6(j+k)); use j=-7, and k=-2

VARVARA [1.3K]

$f(j,k)=-4(j-6(j+k)\\\\f(-7,-2)=-4(-7-6(-7-2))\\\\f(-7,-2)=-4(-13-9)\\\\f(-7,-2)=-4(-22)\\\\f(-7,-2)=-88$

6 0

3 years ago

What is the solution to (3 x 10^2) (5 x 10^5) written in scientific notation?

Natasha2012 [34]

$3 \times {10}^{2} \times 5 \times {10}^{5} = 15 \times {10}^{7}$

8 0

3 years ago

Given the argument: Oleg is a math major or Oleg is an economics major. If Oleg is a math major, then Oleg is required to take M

Margarita [4]

Answer:

Logic with the use of Truth Table

Step-by-step explanation: a) Oleg is a math major= P; Oleg is a economic major=Q; Oleg is required to take math 362=R; Oleg is not required to take 362=←R

b)i) Oleg is a math major or Oleg is an economic major:

P║ Q ║ P∨Q

T T T

T F T

F T T

F F F

ii) Oleg is a math major, then Oleg is required to take Math 362:

P║ R ║ P∧ R

T T T

T F F

F T F

F F F

iii) Oleg is an economic major or Oleg is not required to take Math 362:

Q║ ←R ║ Q ∨ ←R

T T T

T F T

F T T

F F F

c) It is valid because Oleg can only take Math 362 since Oleg is a math major, therefore, it follows that, R ∧ ( P ∨ Q) is valid.

8 0

4 years ago

116. use what you know about the area and circumference of circles to answer the questions below. show all work. leave answers i

True [87]

Answer:

28π and 196π

10π and 25π

2500π

A = C/4π

Step-by-step explanation:

The circumference of a circle is the distance around the edge of the circle. To find the circumference, we use the formula C = 2πr. The area of the circle is the amount inside the circle and is found using A = πr². Substitute the relevant values in each situation into the formulas to find the circumference and area.

if the radius of a circle is 14 units, what is its circumference? what is its area?

Substitute r = 14.

C = 2πr = 2π(14) = 28π

A = πr² = π(14)² = 196π

if a circle has diameter 10 units, what is its circumference? what is its area?

Substitute r = 5.

C = 2πr = 2π(5) = 10π

A = πr² = π(5)² = 25π

if a circle has circumference 100π units, what is its area?

Substitute C = 100π to find the radius. Then substitute the radius into the are formula.

C = 2πr

100π=2πr

100 = 2r

50 = r

A = πr² = π(50)² = 2500π

if a circle has circumference c, what is its area in terms of c?

Cole the circumference formula for r. Then substitute the expression into the area formula.

C = 2πr

r = C / 2π

A = πr² = π(C/2π)² = πC/4π² = C/4π

7 0

4 years ago