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N76 [4]
3 years ago
10

Identify the initial amount a and the growth factor b in the exponential function. A(x)=30*8.3^x

Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0

Answer:

Option B is correct.

Initial amount (a) = 30 and growth factor(b) = 8.3

Step-by-step explanation:

An exponential function is of the form: y =ab^x        ....[1]

where

a represents the initial amount

b represents the growth factor and x is the variable

Given the function: A(x) = 30 \cdot (8.3)^x

On comparing given equation with [1] we get;

a = 30 and b = 8.3

Therefore, the initial amount(a) = 30 and growth factor(b) = 8.3

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Find the zero of f (x-5) (-x to the second power +3x-3)
FromTheMoon [43]

Answer:

1 =x-5 = as pytanerosa tery says

23

Step-by-step explanation:

6 0
3 years ago
A car can travel 30 miles on a gallon of gas and had a 20 gallon gas tank. Let g be the number of gallons of gas the car has in
Fudgin [204]

Answer:

The domain is the number of gallons and the range is the distance traveled.

Since the car can travel 30 miles one gallon of gas, we multiply by 12 to get the distance the car can travel in 12 gallons of gas.


5 0
2 years ago
Tom bought a PS4 on Black Friday for 25% off. If the system sells for $399, what is the sales price of the PS4?
Delicious77 [7]

Answer:

The sales price of the PS4 is $532.

Step-by-step explanation:

The system sells for $399 after giving 25% off on a Black Friday on the sales price.

Let the sales price of the PS4 system is $x.

Then after giving 25% discount the price will become x(1 - \frac{25}{100}) = 0.75x

Therefore, 0.75x = 399

⇒ x = 532  

Therefore, the sales price of the PS4 is $532. (Answer)

7 0
2 years ago
Please help i really don't understand
Natali5045456 [20]

Answer:

  80 square units

Step-by-step explanation:

The area formula refers to a generic triangle ABC in which side lengths 'a' and 'b' are known and angle C is between those sides.

In the given figure, we have known side lengths of 12 and 14, and the angle between them is 72°.

Putting these numbers into the formula, we find the area to be ...

  A = (1/2)(12)(14)sin(72°) ≈ 79.9 ≈ 80 . . . . square units

The area of the triangle is about 80 square units.

7 0
3 years ago
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
saul85 [17]

Answer:

4b. −6x + y = −4

4a. 7x + 4y = −12

3b. y = ½x + 3

3a. y = −6x + 5

2b. y + 2 = −⅔(x + 3)

2a. y - 3 = ⅘(x - 5)

1b. y = -x + 5

1a. y = 5x - 3

Step-by-step explanation:

4.

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

b.

2 = 6[1] + b

6

−4 = b

y = 6x - 4

-6x - 6x

_________

−6x + y = −4 >> Standard Equation

a.

4 = −7⁄4[-4] + b

7

−3 = b

y = −7⁄4x - 3

+7⁄4x +7⁄4x

____________

7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

4[7⁄4x + y = −3]

7x + 4y = −12 >> Standard Equation

__________________________________________________________

3.

Plug both coordinates into the Slope-Intercept Formula:

b.

5 = ½[4] + b

2

3 = b

y = ½x + 3 >> EXACT SAME EQUATION

a.

−1 = −6[1] + b

−6

5 = b

y = −6x + 5

* Parallel lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>].

__________________________________________________________

2.

b. y + 2 = −⅔(x + 3)

a. y - 3 = ⅘(x - 5)

According to the <em>Point-Slope Formula</em>, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

__________________________________________________________

1.

b. y = -x + 5

a. y = 5x - 3

Just write out the Slope-Intercept Formula as it is given to you.

I am joyous to assist you anytime.

3 0
3 years ago
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